In this article, we present a new conception of internal relations between quantity tropes falling under determinates and determinables. We begin by providing a novel characterization of the necessary relations between these tropes as basic internal relations. The core ideas here are that the existence of the relata is sufficient for their being internally related, and that their being related does not require the existence of any specific entities distinct from the relata. We argue that quantity tropes are, (...) as determinate particular natures, internally related by certain relations of proportion and order. By being determined by the nature of tropes, the relations of proportion and order remain invariant in conventional choice of unit for any quantity and give rise to natural divisions among tropes. As a consequence, tropes fall under distinct determinables and determinates. Our conception provides an accurate account of quantitative distances between tropes but avoids commitment to determinable universals. In this important respect, it compares favorably with the standard conception taking exact similarity and quantitative distances as primitive internal relations. Moreover, we argue for the superiority of our approach in comparison with two additional recent accounts of the similarity of quantity tropes. (shrink)

This paper deals with Suárez's theory of extension and continuous quantity, as it is discussed in the Metaphysical Disputations and as a possible source for Descartes's concept of res extensa. In a first part of the paper, I analyse Suárez' account of divisibility and extension in a comparison with the Dominicans', Scotus and Fonseca's, and Ockham's. In the light of this analysis, Suárez's most original contribution seems being the claim that material composites have integral parts 'entitatively' extended (partem extra (...) partem) independently from categorial quantity. Such a theory allows Suárez to merge the Dominicans', the Scotists' and the Ockhamists' account, as the integral parts fund the internal but pre-quantitative divisibility of body, which is the source of quantity. In a second part of the paper, I deal with the reception of Suárez’s theory (especially in Rubio, Arriaga, Araujo, Eustachius and Abra de Raçonis), as well as with Descartes’ concept of res extensa. I conclude that Suárez’s account has been mainly criticized by the seventeenth Century Aristotelianism, as well as by Descartes. Despite that, Suárez’s idea of non-quantitatively extended parts had an interesting reception and effect in the debate, and especially in the (dominant) Scotistic context. (shrink)

In this paper we explore the interpretation of quantity expressions in Yudja, an indigenous language spoken in the Amazonian basin, showing that while the language allows reference to exact cardinalities, it does not generally allow reference to exact measure values. It does, however, allow non-exact comparison along continuous dimensions. We use this data to argue that the grammar of exact measurement is distinct from a grammar allowing the expression of exact cardinalities, and that the grammar of counting and the (...) grammar of measurement may use numerals with different, though related interpretations. As Yudja shows, the language of measurement is not automatically acquired along with the knowledge of exact numeral expressions. We show that the ‘gap’ between prelinguistic intuitions about quantity in terms of numerosity and counting, which is bridged by the learning of language expressing exact cardinality, is paralleled by a similar gap between prelinguistic intuitions about quantity on a continuous dimension and measuring: this gap too must be bridged by language which expresses exact measure values. Our results suggest that the enculturation process by which we develop skills to perform abstract operations in the domain of measurement is (1) language dependent and (2) distinct from the process by which we learn to perform abstract calculations in the cardinal domain. (shrink)

’Tis vain to talk of adding quantities which after the addition will continue to be as distinct as they were before; one man’s happiness will never be another man’s happiness: a gain to one man is no gain to another: you might as well pretend to add 20 apples to 20 pears.

This chapter defines a quantitative notion of a person’s lifetime wellbeing. It does so on the basis of betterness among uncertain prospects, using expected utility theory and a theorem of John Harsanyi. It adopts the assumption of Daniel Bernoulli that wellbeing is risk-neutral. It gives an account of interpersonal comparisons of wellbeing.

This chapter defines a quantitative notion of a person’s temporal wellbeing. It uses the same methods as the previous chapter. It gives an account of intertemporal comparisons of wellbeing. It also defines a zero for temporal wellbeing.

This paper is about the role of interpersonal comparisons in Harsanyi's aggregation theorem. Harsanyi interpreted his theorem to show that a broadly utilitarian theory of distribution must be true even if there are no interpersonal comparisons of well-being. How is this possible? The orthodox view is that it is not. Some argue that the interpersonal comparability of well-being is hidden in Harsanyi's premises. Others argue that it is a surprising conclusion of Harsanyi's theorem, which is not presupposed by (...) any one of the premises. I argue instead that Harsanyi was right: his theorem and its weighted-utilitarian conclusion do not require interpersonal comparisons of well-being. The key to making sense of this possibility is to treat Harsanyi's weights as dimensional constants rather than dimensionless numbers. (shrink)

Developmental dyscalculia (DD) is a pervasive difficulty affecting number processing and arithmetic. It is encountered in around 6% of school-aged children. While previous studies have mainly focused on general cognitive functions, the present paper aims to further investigate the hypothesis of a specific numerical deficit in dyscalculia. The performance of 10- and 11-year-old children with DD characterised by a weakness in arithmetic facts retrieval and age-matched control children was compared on various number comparison tasks. Participants were asked to compare a (...) quantity presented in either a symbolic (Arabic numerals, number words, canonical dots patterns) or a nonsymbolic format (noncanonical dots patterns, and random sticks patterns) to the reference quantity 5. DD children showed a greater numerical distance effect than control children, irrespective of the number format. This favours a deficit in the specialised cognitive system underlying the processing of number magnitude in children with DD. Results are discussed in terms of access and representation deficit hypotheses. (shrink)

The different interpretations of quark mixing involved in weak interaction processes in the Standard Model and the Generation Model are discussed with a view to obtaining a physical understanding of the Cabibbo angle and related quantities. It is proposed that hadrons are composed of mixed-quark states, with the quark mixing parameters being determined by the Cabibbo-Kobayashi-Maskawa matrix elements. In this model, protons and neutrons contain a contribution of about 5% and 10%, respectively, of strange valency quarks.

The present study examined whether a dissociation among formats for rational numbers can be obtained in tasks that require comparing a number to a non-symbolic quantity. In Experiment 1, college students saw a discrete or else continuous image followed by a rational number, and had to decide which was numerically larger. In Experiment 2, participants saw the same displays but had to make a judgment about the type of ratio represented by the number. The magnitude task was performed more (...) quickly using decimals, whereas the relation task was performed more accurately with fractions. The pattern observed for percentages was very similar to that for decimals. A dissociation between magnitude comparison and relational processing with rational numbers can be obtained when a symbolic number must be compared to a non-symbolic display. (shrink)

This paper is about the relevance, to the definition of freedom, of values or goods other than freedom. In this respect,its subject matter is not at all new. However, I do believe that new light can be thrown on the nature of this relationship by paying more attention to another relationship – one which exists within the concept of freedom itself. There are two senses in which we can be said to possess freedom. Firstly, there is the sense in which (...) we can be said to be free to do a certain particular thing. Secondly,there is the sense in which we can be said to possess a certain ‘amount’,‘degree’ or ‘quantity’ of freedom, in some overall sense. 1 I believe that most recent accounts of the relationship between freedom and other goods are inconsistent, because they see those other goods as affecting the truth value of claims about freedom in the second sense, but not in the first. (shrink)

This paper presents a new logical analysis of quantity comparatives (i.e. More linguists than philosophers came to the party.) within the Delineation Semantics approach to gradability and comparison (McConnell-Ginet in Comparison constructions in English. PhD thesis, University of Rochester, Rochester, 1973; Kamp in Formal semantics of natural language. Cambridge University Press, Cambridge, 1975; Klein in Linguist Philos 4:1–45, 1980) among many others. Along with the Degree Semantics framework (Cresswell in Montague grammar. Academic Press, New York, 1976; von Stechow in (...) J Semant 3:1–77, 1984; Kennedy in Projecting the adjective. PhD thesis. University of California, Santa Cruz, 1997, among many others) Delineation Semantics is one of the dominant logical frameworks for analyzing the meaning of gradable constituents of the adjectival syntactic category; however, there has been very little work done investigating the application of this framework to the analysis of gradability outside the adjectival domain. This state of affairs distinguishes the Delineation Semantics framework from its Degree Semantics counterpart, where such questions have been investigated in great deal since the beginning of the twenty-first century. Nevertheless, it has been observed [for example, by Doetjes (Seventeenth amsterdam colloquium. University of Amsterdam, Amsterdam, 2011); van Rooij (The vagueness handbook. Springer, Dordrecht, 2011c)] that there is nothing inherently adjectival about the way that the interpretations of scalar predicates are calculated in Delineation Semantics, and therefore that there is enormous potential for this approach to shed light on the nature of gradability and comparison in the nominal and verbal domains. This paper is a first contribution to realizing this potential within a Mereological extension of a simple version of the DelS system. (shrink)

This paper is about the relevance, to the definition of freedom, of values or goods other than freedom. In this respect,its subject matter is not at all new. However, I do believe that new light can be thrown on the nature of this relationship by paying more attention to another relationship – one which exists within the concept of freedom itself. There are two senses in which we can be said to possess freedom. Firstly, there is the sense in which (...) we can be said to be free to do a certain particular thing. Secondly,there is the sense in which we can be said to possess a certain ‘amount’,‘degree’ or ‘quantity’ of freedom, in some overall sense.1 I believe that most recent accounts of the relationship between freedom and other goods are inconsistent, because they see those other goods as affecting the truth value of claims about freedom in the second sense, but not in the first. (shrink)

The problem of inferring probability comparisons between events from an initial set of comparisons arises in several contexts, ranging from decision theory to artificial intelligence to formal semantics. In this paper, we treat the problem as follows: beginning with a binary relation ≥ on events that does not preclude a probabilistic interpretation, in the sense that ≥ has extensions that are probabilistically representable, we characterize the extension ≥+ of ≥ that is exactly the intersection of all probabilistically representable (...) extensions of ≥. This extension ≥+ gives us all the additional comparisons that we are entitled to infer from ≥, based on the assumption that there is some probability measure of which ≥ gives us partial qualitative information. We pay special attention to the problem of extending an order on states to an order on events. In addition to the probabilistic interpretation, this problem has a more general interpretation involving measurement of any additive quantity: e.g., given comparisons between the weights of individual objects, what comparisons between the weights of groups of objects can we infer? (shrink)

Several philosophers have argued that interpersonal comparisons of utility are problematic or even impossible, and that this poses a problem for the thesis that pleasure is a legitimate, measurable quantity. This, in turn, is thought to pose a problem of some kind for a variety of normative ethical and axiological theories. Perhaps it is supposed to show that utilitarianism or hedonism is false, or is supposed to show that there is no genuine hedonic calculus, or that any view (...) that presupposes that pleasure and pain are morally relevant is false or untenable. Its proponents begin by noticing that interpersonal comparisons of pleasure and pain are impossible in some relevant sense. This impossibility has been exploited by different philosophers for different purposes. It is clear, however, that a great many ethical theories rely in some way on the thesis that pleasure is measurable, and that its incoherence therefore threatens a great many theories in ethics. The purpose of this paper is to survey several of the most interesting versions of this argument; then to explain several attempts to respond to the problem, and to explain why each attempt fails; then to present, explain, and defend the correct solution to the problem. (shrink)

ABSTRACT According to comparativism, comparative confidence is more fundamental than absolute confidence. In two recent AJP papers, Stefánsson has argued that comparativism is capable of explaining interpersonal confidence comparisons. In this paper, I will argue that Stefansson’s proposed explanation is inadequate; that we have good reasons to think that comparativism cannot handle interpersonal comparisons; and that the best explanation of interpersonal comparisons requires thinking about confidence in a fundamentally different way than that which comparativists propose: specifically, we (...) should think of confidence as a dimensionless quantity. (shrink)

This article uses diary data from the most recent Australian Bureau of Statistics Time Use Survey to compare by gender total child care time calculated in the measurements of main activity, main or secondary activity, and total time spent in the company of children. It also offers an innovative gender comparison of relative time spent in the activities that constitute child care, child care as double activity, and time with children in sole charge. These measures give a fuller picture of (...) total time commitment to children and how men and women spend that time than has been available in previous time use analyses. The results indicate that compared to fathering, mothering involves not only more overall time commitment but more multitasking, more physical labor, a more rigid timetable, more time alone with children, and more overall responsibility for managing care. These gender differences in the quantity and nature of care apply even when women work full-time. (shrink)

Corporate scandals brought the issue of corporate governance to the forefront of the agendas of lawmakers and regulators in the early 2000s. As a result, Congress, the New York Stock Exchange, and the NASDAQ enacted standards to improve the quality of corporate governance, thereby enhancing the quantity and quality of disclosures by listed companies. We investigate the relationship between corporate governance strength and the quality of disclosures in pre- and post-regulation time periods. If cross-sectional differences in corporate governance policies (...) affect the quality of financial disclosures, the quality of information available to analysts varies with such policies. Specifically, higher quality disclosures, produced as a result of strong corporate governance, should lead to more accurate and less dispersed analysts’ forecasts. Our analysis suggests that voluntary implementation of stronger corporate governance enhanced the quality of disclosures in the pre-regulation period; however, exceeding current corporate governance standards does not appear to result in higher quality disclosures post-regulation. These results suggest that SOX and the stronger regulations enacted by U.S. exchanges were effective in reducing variation in the quality of financial information available to investors. (shrink)

Historians of molecular biology have paid significant attention to the role of scientific instruments and their relationship to the production of biological knowledge. For instance, Lily Kay has examined the history of electrophoresis, Boelie Elzen has analyzed the development of the ultracentrifuge as an enabling technology for molecular biology, and Nicolas Rasmussen has examined how molecular biology was transformed by the introduction of the electron microscope (Kay 1998, 1993; Elzen 1986; Rasmussen 1997). 1 Collectively, these historians have demonstrated how instruments (...) and other elements of the material culture of the laboratory have played a decisive role in determining the kind and quantity of .. (shrink)

Since the beginning of the XX-th century, it became increasingly evident that information, besides matter and energy, is a major actor in the life processes. Moreover, communication of information has been recognized as differentiating living things from inanimate ones, hence as specific to the life processes. Therefore the sciences of matter and energy, chemistry and physics, do not suffice to deal with life processes. Biology should also rely on sciences of information. A majority of biologists, however, did not change their (...) mind and continued to describe life in terms of chemistry and physics. They merely borrowed some vocabulary from the information sciences. The first science of information available to biological applications, semiotics, appeared at the end of the XIX-th century. It is a qualitative and descriptive science which stemmed from efforts of linguists and philosophers to understand the human language and is thus mainly concerned with semantics. Applying semiotics to biology resulted in today’s Biosemiotics. Independently, an explosive expansion of communication engineering began in the second half of the XX-th century. Besides tremendous progresses in hardware technology, it was made possible by the onset of a science of literal communication: Information Theory (Shannon, Bell Syst Tech J 27:379–457, 623–656, 1948). Literal communication consists of faithfully transporting a message from a place to another, or from an instant to another. Because the meaning of a message does not matter for its transportation, information theory ignores semantics. This restriction enables defining information as a measurable quantity on which a mathematical theory of communication is founded. Although lacking implementation means at its beginning, information theory became later very successful for designing communication means. Modern ones, like mobile phones, can be thought of as experimentally proving the relevance and accuracy of information theory since their design and operation heavily rely on it. Information theory is plainly relevant to biological functions which involve literal communication, especially heredity. This paper is intended to compare the two approaches. It shows that, besides obvious differences, they have some points in common: for instance, the quantitative measurement of information obeys Peirce’s triadic paradigm. They also can mutually enlighten each other. Using information theory, which is closer to the basic communication mechanisms, may appear as a preliminary step prior to more elaborated investigations. Criticizing genetics from outside, information theory furthermore reveals that the ability of the template-replication paradigm to faithfully conserve genomes is but a prejudice. Heredity actually demands error-correcting means which impose severe constraints to the living world and must be recognized as biological facts. (shrink)

There is a wide range of realist but non-Platonist philosophies of mathematics—naturalist or Aristotelian realisms. Held by Aristotle and Mill, they played little part in twentieth century philosophy of mathematics but have been revived recently. They assimilate mathematics to the rest of science. They hold that mathematics is the science of X, where X is some observable feature of the (physical or other non-abstract) world. Choices for X include quantity, structure, pattern, complexity, relations. The article lays out and compares (...) these options, including their accounts of what X is, the examples supporting each theory, and the reasons for identifying the science of X with (most or all of) mathematics. Some comparison of the options is undertaken, but the main aim is to display the spectrum of viable alternatives to Platonism and nominalism. It is explained how these views answer Frege’s widely accepted argument that arithmetic cannot be about real features of the physical world, and arguments that such mathematical objects as large infinities and perfect geometrical figures cannot be physically realized. (shrink)

We deepen the study of conjoined and disjoined conditional events in the setting of coherence. These objects, differently from other approaches, are defined in the framework of conditional random quantities. We show that some well known properties, valid in the case of unconditional events, still hold in our approach to logical operations among conditional events. In particular we prove a decomposition formula and a related additive property. Then, we introduce the set of conditional constituents generated by $n$ conditional events and (...) we show that they satisfy the basic properties valid in the case of unconditional events. We obtain a generalized inclusion-exclusion formula, which can be interpreted by introducing a suitable distributive property. Moreover, under logical independence of basic unconditional events, we give two necessary and sufficient coherence conditions. The first condition gives a geometrical characterization for the coherence of prevision assessments on a family F constituted by n conditional events and all possible conjunctions among them. The second condition characterizes the coherence of prevision assessments defined on $F\cup K$, where $K$ is the set of conditional constituents associated with the conditional events in $F$. Then, we give some further theoretical results and we examine some examples and counterexamples. Finally, we make a comparison with other approaches and we illustrate some theoretical aspects and applications. (shrink)

This paper introduces the reader to Meinong's work on the metaphysics of magnitudes and measurement in his Über die Bedeutung des Weber'schen Gesetzes. According to Russell himself, who wrote a review of Meinong's work on Weber's law for Mind, Meinong's theory of magnitudes deeply influenced Russell's theory of quantities in the Principles of Mathematics. The first and longest part of the paper discusses Meinong's analysis of magnitudes. According to Meinong, we must distinguish between divisible and indivisible magnitudes. He argues that (...) relations of distance, or dissimilarity, are indivisible magnitudes that coincide with divisible magnitudes called "stretches". The second part of the paper is concerned with Meinong's account of measurement as a comparison of parts. According to Meinong, since measuring consists in comparing parts only divisible magnitudes are directly measurable. Indivisible magnitudes can only be measured indirectly, by measuring the divisible stretches that coincide with them. (shrink)

In the article, different methods of presentation of quantitative information in the news media texts in their dependence on the author’s pragmatic preferences are considered. The object of the study is the Russian version of news reports from the websites of Ukrainian news agencies. Among the logical methods, the use of which is aimed at the realization of the informative function of the media, the following ones are to be mentioned: alternative ways of presenting the same quantity; providing data (...) against the background of the general situation for the fair presentation of scale of the problem; the use of multiple numeric symbols to ‘compress‘ information presentation. Among the rhetorical methods that influence the recipient the following ones have been analyzed: the use of units of different orders for representing the same amount; rounding of quantitative information in the headlines; comparison of facts; providing data without representing the overall situation; placing of pragmatically conditioned numbers in the headlines; creating of the number image. Applying logical methods of using of quantitatives to demonstration of new facts of reality can be considered as one of the methods of influence through informing in the news discourse. In rhetorical use of quantitative information, the presence of the author’s assessment in a media text affects the representation of numerical information. It has been concluded that the quantitatives are used in the news media texts not only as the source of information, but also as a source of influence on the recipient. (shrink)

The concept of quantity (Größe) plays a key role in Frege's theory of real numbers. Typically enough, he refers to this theory as ?theory of quantity? (?Größenlehre?) in the second volume of his opus magnum Grundgesetze der Arithmetik (Frege 1903). In this essay, I deal, in a critical way, with Frege's treatment of the concept of quantity and his approach to analysis from the beginning of his academic career until Frege 1903. I begin with a few introductory (...) remarks. In Section 2, I first analyze Frege's use of the term ?source of knowledge? (?Erkenntnisquelle?) with particular emphasis on the logical source of knowledge. The analysis includes a brief comparison between Frege and Kant's conceptions of logic and the logical source of knowledge. In a second step, I examine Frege's theory of quantity in Rechnungsmethoden, die sich auf eine Erweiterung des Größenbegriffes gründen (Frege 1874). Section 3 contains a couple of critical observations on Frege's comments on Hankel's theory of real numbers in Die Grundlagen der Arithmetik (Frege 1884). In Section 4, I consider Frege's discussion of the concept of quantity in Frege 1903. Section 5 is devoted to Cantor's theory of irrational numbers and the critique deployed by Frege. In Section 6, I return to Frege's own constructive treatment of analysis in Frege 1903 and succinctly describe what I take to be the quintessence of his account. (shrink)

We introduce a ranking of multidimensional alternatives, including uncertain prospects as a particular case, when these objects can be given a matrix form. This ranking is separable in terms of rows and columns, and continuous and monotonic in the basic quantities. Owing to the theory of additive separability developed here, we derive very precise numerical representations over a large class of domains (i.e., typically notof the Cartesian product form). We apply these representationsto (1)streams of commodity baskets through time, (2)uncertain social (...) prospects, (3)uncertain individual prospects. Concerning(1), we propose a finite horizon variant of Koopmans’s (1960) axiomatization of infinite discounted utility sums. The main results concern(2). We push the classic comparison between the exanteand expostsocial welfare criteria one step further by avoiding any expected utility assumptions, and as a consequence obtain what appears to be the strongest existing form of Harsanyi’s (1955) Aggregation Theorem. Concerning(3), we derive a subjective probability for Anscombe and Aumann’s (1963) finite case by merely assuming that there are two epistemically independent sources of uncertainty. (shrink)

This article puts forward a novel class of Bézier smooth semi-supervised support vector machines(BS4VMs) for classification. As is well known, semi-supervised support vector machine is introduced for dealing with quantities of unlabeled data in the real world. Labeled data is utilized to train the algorithm and then adapting it to classify the unlabeled data. However, the objective semi-supervised function is not differentiable globally. It is required to endure heavy burden in solving two quadratic programming problems with inversion matrix operation. To (...) solve this problem, the interpolation Bézier functions for replacing the non-smooth term have been investigated. Firstly, the development of the novel BS4VMs classifier is introduced. Then, the non-linear model and convergence analysis are presented. To show how the BS4VMs can be practically implemented, experiments on synthetic and real data sets are offered. The theoretical analysis and experiments comparisons clearly illustrate the BS4VMs are superior to the proposed methods in both cross-validation classification accuracy and calculating time. (shrink)

Food security is becoming an increasingly relevant topic in the Global North, especially in urban areas. Because such areas do not always have good access to nutritionally adequate food, the question of how to supply them is an urgent priority in order to maintain a healthy population. Urban and peri-urban agriculture, as sources of local fresh food, could play an important role. Whereas some scholars do not differentiate between peri-urban and urban agriculture, seeing them as a single entity, our hypothesis (...) is that they are distinct, and that this has important consequences for food security and other issues. This has knock-on effects for food system planning and has not yet been appropriately analysed. The objectives of this study are to provide a systematic understanding of urban and peri-urban agriculture in the Global North, showing their similarities and differences, and to analyse their impact on urban food security. To this end, an extensive literature review was conducted, resulting in the identification and comparison of their spatial, ecological and socio-economic characteristics. The findings are discussed in terms of their impact on food security in relation to the four levels of the food system: food production, processing, distribution and consumption. The results show that urban and peri-urban agriculture in the Global North indeed differ in most of their characteristics and consequently also in their ability to meet the food needs of urban inhabitants. While urban agriculture still meets food needs mainly at the household level, peri-urban agriculture can provide larger quantities and has broader distribution pathways, giving it a separate status in terms of food security. Nevertheless, both possess (unused) potential, making them valuable for urban food planning, and both face similar threats regarding urbanisation pressures, necessitating adequate planning measures. (shrink)

From the first months of life, human infants produce “protophones,” speech-like, non-cry sounds, presumed absent, or only minimally present in other apes. But there have been no direct quantitative comparisons to support this presumption. In addition, by 2 months, human infants show sustained face-to-face interaction using protophones, a pattern thought also absent or very limited in other apes, but again, without quantitative comparison. Such comparison should provide evidence relevant to determining foundations of language, since substantially flexible vocalization, the inclination (...) to explore vocalization, and the ability to interact socially by means of vocalization are foundations for language. Here we quantitatively compare data on vocalization rates in three captive bonobo (Pan paniscus) mother–infant pairs with various sources of data from our laboratories on human infant vocalization. Both humans and bonobos produced distress sounds (cries/screams) and laughter. The bonobo infants also produced sounds that were neither screams nor laughs and that showed acoustic similarities to the human protophones. These protophone-like sounds confirm that bonobo infants share with humans the capacity to produce vocalizations that appear foundational for language. Still, there were dramatic differences between the species in both quantity and function of the protophone and protophone-like sounds. The bonobo protophone-like sounds were far less frequent than the human protophones, and the human protophones were far less likely to be interpreted as complaints and more likely as vocal play. Moreover, we found extensive vocal interaction between human infants and mothers, but no vocal interaction in the bonobo mother–infant pairs—while bonobo mothers were physically responsive to their infants, we observed no case of a bonobo mother vocalization directed to her infant. Our cross-species comparison focuses on low- and moderate-arousal circumstances because we reason the roots of language entail vocalization not triggered by excitement, for example, during fighting or intense play. Language appears to be founded in flexible vocalization, used to regulate comfortable social interaction, to share variable affective states at various levels of arousal, and to explore vocalization itself. (shrink)

This paper explores the problem of comparing the strengths of different individual's attitudes, and especially their evaluative attitudes, by looking at how measures of these quantities are obtained. I argue that comparisons of both strengths of belief and relative strengths of preference and desire are justified by the causal role they play in the production of action.

This paper forms part of a wider campaign: to deny pointillisme, the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent intrinsic properties of such points or point-sized objects located there; so that properties of spatial or spatiotemporal regions and their material contents are determined by the point-by-point facts. More specifically, this paper argues against pointillisme about the concept of velocity in classical mechanics; especially against proposals by Tooley, Robinson and Lewis. (...) A companion paper argues against pointillisme about -geometry, as proposed by Bricker. To avoid technicalities, I conduct the argument almost entirely in the context of "Newtonian" ideas about space and time, and the classical mechanics of point-particles, i.e. extensionless particles moving in a void. But both the debate and my arguments carry over to relativistic physics. Introduction The wider campaign 2.1 Connecting physics and metaphysics 2.1.1 Avoiding controversy about the intrinsic–extrinsic distinction 2.1.2 Distinction from three mathematical distinctions 2.2 Classical mechanics is not pointilliste, and can be perdurantist 2.2.1 Two versions of pointillisme 2.2.2 Two common claims 2.2.3 My contrary claims 2.3 In more detail... 2.3.1 Four violations of pointillisme 2.3.2 For perdurantism Velocity as intrinsic? 3.1 Can properties represented by vectors be intrinsic to a point? 3.2 Orthodox velocity is extrinsic but local 3.2.1 A question and a debate 3.2.2 The verdict 3.3 Against intrinsic velocity 3.3.1 A common view—and a common problem 3.3.2 Tooley's proposal and his arguments 3.3.3 Tooley's further discussion "Shadow velocities": Lewis and Robinson 4.1 The proposal 4.2 Criticism: the vector field remains unspecified 4.3 Avoiding the presupposition of persistence, using Hilbert's symbol 4.4 Comparison with Robinson and Lewis. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hume Studies Volume XXIV, Number 1, April 1998, pp. 71-94 Hume on the Very Idea of a Relation MICHAEL COSTA I think it is a productive strategy in interpreting Hume's philosophy to examine very carefully exactly what constitutes for Hume the cognitive state of having a certain idea or belief. More often than not, interpretive pressures arise almost immediately when one comes to address the details in such cases. (...) Attempting to relieve these interpretive pressures can have substantial payoffs in understanding and evaluating Hume's philosophy, even when the attempts are not entirely successful.1 In this paper, I am going to raise the question, "What is the very idea of a relation for Hume?" which I will understand to mean, "What exactly constitutes the cognitive state of having an idea of a relation for Hume?" First I will argue for a particular account of what an idea of a relation must consist in for Hume. The account that I describe is essentially the same as one that has already been introduced by some recent work of Don Garrett,2 but I will offer here a new way of arriving at it. Also, I will examine in detail the capacity of the account to deal with each of Hume's categories of relation. Hume has extensive discussions of some of these (the "matters of fact" relations of space, time, identity, and causation), but almost nothing to say about some of the others (the "relations of ideas" of resemblance, contrariety, degree of quality, and quantity and number). All of them raise interpretive problems, and attempting to resolve them will suggest new ways of understanding a number of important issues in Hume's philosophy including: the nature of the cognitive process of comparing ideas and Michael Costa is at the Department of Philosophy, University of South Carolina, Columbia, South Carolina 29208 USA. email: [email protected] 72 Michael Costa deriving a general idea from the comparison, the distinction between having a belief and making an assertion or explicit judgment on the basis of one's beliefs, the nature of a fiction or fictitious idea, how Hume thinks that language and symbols enhance cognitive processing, and how we should understand Hume's empiricist criterion of meaning. The obvious place to start in addressing the question of what ideas of relation consist in for Hume is the section "Of relations" that appears early in the Treatise? Just prior to this section Hume indicates that he thinks of relations as complex ideas. He says, "complex ideas may be divided into Relations, Modes, and Substances" (T 13). He goes on in the section to draw a distinction between natural and philosophical relations as a distinction between those relations that are connected to associations in thought (the natural relations) and all relations whatsoever that can be conceived (the philosophical relations) (T 13-14). But that distinction does not in itself shed any light on the nature of our ideas of the latter as complex ideas. Nor, initially, do Hume's brief remarks on each of the seven categories of relations (T 14-15), although we will find some interesting issues to mine here after getting a better understanding of Hume's account of relations as complex ideas. We can get some help by recalling the way in which Hume draws the distinction between simple and complex ideas. This division is into Simple and Complex. Simple perceptions or impressions and ideas are such as admit of no distinction nor separation. The complex are the contrary to these, and may be distinguished into parts. Tho' a particular colour, taste, and smell are qualities all united together in this apple, 'tis easy to perceive they are not the same, but are at least distinguishable from each other. (T 2) A complex idea is one that can be distinguished into parts. Hume's illustration of the apple can easily mislead. He seems to be talking about an apple (physical object) as a collection of qualities. But for this to serve as an illustration of the distinction under discussion we must read him as talking about an impression or idea of an apple being a collection of impressions... (shrink)

There are well-known problems associated with the idea of gravitational energy in general relativity. We offer a new perspective on those problems by comparison with Newtonian gravitation, and particularly geometrized Newtonian gravitation. We show that there is a natural candidate for the energy density of a Newtonian gravitational field. But we observe that this quantity is gauge dependent, and that it cannot be defined in the geometrized theory without introducing further structure. We then address a potential response by showing (...) that there is an analogue to the Weyl tensor in geometrized Newtonian gravitation. (shrink)

I introduce a mathematical account of expectation based on a qualitative criterion of coherence for qualitative comparisons between gambles (or random quantities). The qualitative comparisons may be interpreted as an agent’s comparative preference judgments over options or more directly as an agent’s comparative expectation judgments over random quantities. The criterion of coherence is reminiscent of de Finetti’s quantitative criterion of coherence for betting, yet it does not impose an Archimedean condition on an agent’s comparative judgments, it does not (...) require the binary relation reflecting an agent’s comparative judgments to be reflexive, complete or even transitive, and it applies to an absolutely arbitrary collection of gambles, free of structural conditions (e.g., closure, measurability, etc.). Moreover, unlike de Finetti’s criterion of coherence, the qualitative criterion respects the principle of weak dominance, a standard of rational decision making that obliges an agent to reject a gamble that is possibly worse and certainly no better than another gamble available for choice. Despite these weak assumptions, I establish a qualitative analogue of de Finetti’s Fundamental Theorem of Prevision, from which it follows that any coherent system of comparative expectations can be extended to a weakly ordered coherent system of comparative expectations over any collection of gambles containing the initial set of gambles of interest. The extended weakly ordered coherent system of comparative expectations satisfies familiar additivity and scale invariance postulates (i.e., independence) when the extended collection forms a linear space. In the course of these developments, I recast de Finetti’s quantitative account of coherent prevision in the qualitative framework adopted in this article. I show that comparative previsions satisfy qualitative analogues of de Finetti’s famous bookmaking theorem and his Fundamental Theorem of Prevision.The results of this article complement those of another article (Pedersen, Strictly coherent preferences, no holds barred, Manuscript, 2013). I explain how those results entail that any coherent weakly ordered system of comparative expectations over a unital linear space can be represented by an expectation function taking values in a (possibly non-Archimedean) totally ordered field extension of the system of real numbers. The ordered field extension consists of formal power series in a single infinitesimal, a natural and economical representation that provides a relief map tracing numerical non-Archimedean features to qualitative non-Archimedean features. (shrink)

This paper examines ‘The Natures of Conceptual Change’, the Notre Dame lectures given by Kuhn in 1980. In particular, I aim to examine the content of these lectures which was not published before. This exegetical task will shed light on the sources of the notion of taxonomy used in these lectures for the first time with the explicit philosophical purposes. It also will shed new light on Kuhn's position regarding the causal theory of reference. Reviewing these archival materials paves the (...) way for intertextual comparisons, as Kuhn included part of these lectures in the texts published later and in the book Plurality of Worlds: an Evolutionary Theory of Scientific Development. In recent years, the publication of Kuhn's archival material and the research on these texts increased in quantity and quality. Faced with this encouraging landscape, a comparative examination of the different unpublished texts is crucial to refining both our research tools on Kuhn's intellectual biography and the philosophical work inspired by his proposal. (shrink)

“The Craft of Formal Logic” is Arthur Prior’s unpublished textbook, written in 1950–51, in which he developed a theory of modality as quantification over possible worlds-like objects. This theory predates most of the prominent pioneering texts in possible worlds semantics and anticipates the significance of its basic concept in modal logic. Prior explicitly defines modal operators as quantifiers of ‘entities’ with modal character. Although he talks about these ‘entities’ only informally, and hesitates how to name them, using alternately the phrases (...) ‘possible states of affairs’, ‘chances’, ‘cases’ or ‘peculiar objects’, he is nevertheless very clear that they should be the fundamental concept of any theory of modality as a form of quantity. Without the assumption that modal operators quantify over such modal objects, the modal system will be incapable of distinguishing an actually true proposition from a necessarily true one. Due to the fact that Prior never made any direct reference to this theory in his subsequently published papers, it remained largely unknown. The comparison of “The Craft” with some of his papers on tense logic suggests that this early theory of modality underlies his later work on temporality. (shrink)

In this paper, I discuss how information theory has been used in the study of animal communication, as well as how these uses are justified. Biologists justify their use of Shannon’s information measures by the work they do in allowing for comparisons between different organisms and because they measure a quantity that is purported to be important for natural selection. I argue that there are problems with both sorts of justification. To make these difficulties clear, I focus on (...) the use of Shannon’s information measures to quantify the amount of information transmitted by the fire ant’s odor trail and the honeybee’s waggle dance. Both of these systems are relatively simple and well understood, and the application of Shannon’s information measure to these systems initially seemed very promising and relatively straightforward. They are therefore particularly suitable for revealing the benefits and difficulties of applying Shannon’s information measures to biological systems in general, and animal communication systems in particular. (shrink)

Culture is the source of fostering the systems of philosophy, the philosophical ideologies/thoughts, and is the condition and material, the origin and condition for development of philosophy. A nation may have no its own system of philosophy, but cannot have no its own culture. Without its own culture, such nation cannot exist. Culture is the necessary conditions, requisites for existence of each nation in both aspects of the material and spiritual life. According to that meaning, culture is also the requisites (...) for the existence and development of the systems of philosophy. Different from the systems of scholarly philosophy in which the thinkers, scientists completely define and create the philosophies, the universals are commonly nameless, appear and exist in the different forms such as: folkverse, folk-speech, in the daily life, in architecture, etc... Cannot determine exactly the time of generating one certain universal, one specific philosophy. But can determine the author and the appearance time of one specific system of philosophy. Such philosophies, abundant and diverse universals have existed for a long time in the life of each national community, however they can exist only side by side, reflect the specific aspects, processes of the social life, but they cannot incorporate into a system of philosophy having an internal structure, a system of reasons/arguments. Their generalization level cannot be high and closely systematical like the systems of scholarly philosophy. The life reality of the nations shows the national cultures cannot be short of philosophies, universals because they are the orientations for their activities, communication and communication. The more and more a culture develops, the bigger and bigger quantity and depth of philosophies get. The farther and farther go towards the modernity, the bigger and bigger quantity, depth and polyhedral diversity of the entire philosophies become. The more and more go backward the ancient past, the smaller and smaller quantity, depth and polyhedral diversity of the entire philosophies become. The most important is that when the system of philosophies increases in both quantity and depth, the other factors in the national culture also develop in both width and depth according to the development orientation of system of philosophies, since how far philosophies develop and expand,they will pave the way, create the direction, form the patterns for actions, communication and activities in order to create new cultural value, new cultural environment, new cultural products. Another aspect in the relationship between culture and philosophy that relates to the philosophies in the national culture is the role of the philosophies for the systems of scholarly philosophy. Only a few nations have the systems of scholarly philosophy. The systems of philosophy are normally at the high argumentative level in comparison with the philosophies in the national culture. The systems of philosophy are also an important component of the national culture. Can say, the doctrines of the scholarly philosophy is the high-leveled crystallization at the high argumentative level presenting the world outlook and the outlook on life of the nation in that era which were refracted through the concrete philosophists’ prism. The philosophies in the national culture are the direct materials for forming the structure for all factors of the systems of scholarly philosophy. On another side, the philosophies can take part more or less by their contents of knowledge, way of thinking, and deduction... into the systems of philosophy in the form of archetype. On the other hand, many philosophies indirectly take part in the doctrines of the scholarly philosophy through influencing the philosophist’s thought, consciousness during the study process, throughthe life experience, through adopting the experiences of the other people, in order to take part into the system of the scholarly philosophy since such system appeared, formed, developed and was expressed to become the systematical argumentation. The national culture is the living environment of the systems of scholarly philosophy, is the place supplying food, drinking water, oxygen and sunlight to those systems of scholarly philosophy. Like fruit trees in the garden being planted in the national culture gardens, the fatter, the richer with appropriate temperature, humidity, light they are, the more they develop with the more fruit. The systems of scholarly philosophy are the products firstly of the national culture that were piled up, distilled and sublimed through talent of the awareness, meditation, skill and spirit combined with the other virtues of the philosophists who have created the systems of scholarly philosophy that were also sprouted, fostered in the national culture. Can say there is no national culture that developed to a certain degree, cannot have the systems of scholarly philosophy. Culture is the spiritual foundation of society, at the same times is the spiritual foundation of philosophy. Culture in the broad sense of the word is the foundation of the existence of the humankind, at the same time is the decisive foundation for the birth, existence, development and perdition of the systems of philosophy.Culture despite the broad sense of the word or the narrow meaning is regularly the motive force of the social development in general in which there is the development of philosophy. A nation without a developed culture cannot have the abundant, diverse philosophies, even cannot have the systems of philosophy. A nation may be enslaved for thousands years, but it has not lost, eliminated its own culture, then that nation can exist as an independent nation. The nations can borrow the systems of philosophy, but cannot borrow the philosophies, moreover cannot borrow the culture in general. That is the relative independence of philosophy with culture and the role of culture for philosophy. (shrink)

Maḳâle fî ṣınâʿati'l-manṭıḳ, the only work of Maimonides on logic, has a distinctive feature in point of presenting a logical summary based on terms. This article shaped by titles, which evaluates the opinions here in the form of explanation, comparison and analysis for many reasons; philosophy of logic, preparation for logic, concepts, propositions, comparison and five arts. In the philosophy of logic, it is examined what kind of knowledge logic is in the context of its relationship with philosophy and sciences (...) and its necessity for the certainty of knowledge. In the logic preparation part, two basic problems, namely the concepts of relational existence and the theory of causality, are discussed. These are not direct problems of logic, but are considered as preparatory issues for a better understanding of logic. Five universals, categories and definition theory are included in the concepts. In the propositions section, propositions are discussed and evaluated according to their quality, quantity, counter-affirmation situations, modality and rotation situations. In the syllogism part, the basic concepts, figures, modes and types of qiyas are included. In the five arts section, the five arts and the propositions that can be precursors are emphasized. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:470 HISTORY OF PHILOSOPHY of fundamental notions (e.g.,"creator" and "demiurge") are omnipresent. Sometimes even a confusion happens of Anaxagoras with Democritus when the "atom" is ascribed to Anaxagoras (p. 48). And the author does not seem to feel the fatal inadequacy of merely second-hand knowledge. While he in longura et latum argues with Aristotelian presentations and misrepresentations of Anaxagorean tenets, there is good reason for the suspicion that he (...) might never have read even one authentic sentence written by Anaxagoras himself. For those interested in general cultural history, this book, the religious diatribe of a modem Zoroastrian believer, is very worthwhile reading. For the historian of philosophy, itis of rather modest value. P-~LIX M. CLEVE New School for Social Research New York City The Esthetics of the Middle Ages. By Edgar De Bruyne. Trans. Eileen B. Hennessy. (New York: Frederick Uugar, 1969. Pp. viii+232. $6.50) This book has a very complex character. It is the English translation of a French work, L'Esth~tique du moyen dge,I which, in turn, is a one-volume abridged version by Edgar De Bruyne of his own original three-volume work, I~tudes d'Esth~tique M~di~vale.2 Thus, one may evaluate this book either as a translation or, presupposing the faithfulness and correctness of the translation itself,as a relatively short work by E. De Bruyne, or else in its relation to or as compared with the original three-volume work. I will confine myself here to the lattertwo considerations.3 First, considering this book in comparison with the three-volume original work, one of the principal writings of De Bruyne and one of the most significant contemporary contributions to the history of medieval aesthetics, we can find both quantitative and qualitative differences between the original work and its abridged version. The quantitative difference is considerable. While the abridged work, at least in its English translation, is less than a quarter of a thousand pages in length, the original work includes altogether 1,224 pages 4 and is thus more than five times longer than thc translated abridged version of it. The qualitative or methodological difference is at least equally great. In the original work, each of the three volumes deals primarily with the various medieval authors of aesthetic works and doctrines in a chronological order.5 In contrast, the contents of the translated abridged version follow a topical arrangement with chronology playing only a subordinate role, if any at all, within Louvain. L'InstitutSupdrieur de Philosophic, 1947. Brugge: De Tempel, 1946. s I have had no access to the abridged French original. 9 Vol. I, xiv+370; II, x-{-420; III,x-F400. 9 VoL I: Boethius to Erigena; II. "L'l~poque Romane," from the Carolingian period to the schools of Chartres and St. Victor; and Ill:the thirteenthcentury, from St. Bernard to Duns Scotus. BOOK REVIEWS 471 each topic. The six chapters are entitled, "'The Sources," "The Fundamental Principles," "Various Esthetic Systems," "The Esthetic Experience," "Art," and "The Fine Arts." To this may be added a third difference that is the result of the first two differences. There is virtually neither any direct quotation from any author on any topic, nor a~y direct reference to texts in the works of medieval authors mentioned or discussed. While the quantitative difference in itself is understandable, since only a scholar specializing in this field would read over 1,200 pages on medieval aesthetics, and while the qualitative difference is perfectly justified in terms of an intelligent summary, the absence especially of direct references to discussed texts is, as will be shown below, deeply regxettable. So much for the relative consideration of this translated abridged work. Let us next consider the abridged work in itself in the form of a positive and a negative evaluation. Second, despite the relative brevity of the work, one finds this book extremely valuable both in terms of the quantity and the quality of the data it contains. As to quantity, De Bruyne manages to compress an enormous amount of information about medieval aesthetic thought into this book. The significance of this, to confine ourselves at this point only... (shrink)

The traditional definition per genus et differentiam is argued to be cognitively grounded in perception and in order to avoid needless argument, definitions are stipulated to assert boundaries. An analysis of the notion of perspective shows that a boundary is a composite of two distinctions: similarity that includes and difference that excludes. The concept is applied to the type-token distinction and percepts are shown to be the result of a comparison between a token as representing some phenomenon and a type (...) as representing the kind of object the phenomenon might be. The Principle of Connection is proposed as the mental architecture that gives rise to percepts. The value of a percept is shown to be one of Identical, Similar, Different or Contrary and its perceptual aspects represent the cognitive schema of Essence, Quality, Quantity and Relation. The two notions of similarity and difference are claimed to constitute the necessary and sufficient conditions for definitions. Accordingly, the qualitative elements of a definition signify the genus as representing the similarity of the defined entity in terms of others of its kind and the quantitative elements signify the differentia as representing the difference it has from everything else. Paying proper attention to both qualitative and quantitative aspects will enable formulation of definitions that are ‘good’. (shrink)

Alexandre Koyré wrote that Newton and the science that followed led to a splitting of the world: on the one hand is the “world of qualities and of sensible perceptions”, on the other is the “world of quantities and of reified geometry”. A comparison between facts held true by common sense and false by the scientific image of the world (or vice versa) seems to confirm this view. But is the dichotomy a real one? Is the world of common sense (...) really “another world” relative to the world of the natural sciences? In this paper we argue in support of a negative answer. (shrink)

This paper explores the problem of comparing the strengths of different individual's attitudes, and especially their evaluative attitudes, by looking at how measures of these quantities are obtained. I argue that comparisons of both strengths of belief and relative strengths of preference and desire are justified by the causal role they play in the production of action.

Reproduced with the kind permission of the author. Currently available in the collection I Looked Alive . © 2010 The Brooklyn Rail/Black Square Editions | ISBN 978-1934029-07-7 Originally published 2003 Four Walls Eight Windows. continent. 1.1 (2011): 43-51. Introduction Ben Segal What interests me is instigated language, language dishabituated from its ordinary doings, language startled by itself. I don't know where that sort of interest locates me, or leaves me, but a lot of the books I see in the stores (...) seem to lack language entirely. Gary Lutz (2006). This issue of continent.'s fiction section features a reprint of “This Is Nice of You” from the first edition of Gary Lutz's collection I Looked Alive . That book was originally released by Four Walls Eight Windows in 2003 and has since been reissued in 2010 by The Brooklyn Rail/Black Square Editions. Calamari Press has also reissued Lutz's Stories in the Worst Way (originally published by Knopf, largely forgotten and dismissed, and then re-issued by the too-short-lived 3rd Bed). “This Is Nice of You” was edited for the re-issue of I Looked Alive and, as the original book is out of print, the earlier version of the story has been hard to come by for some time. This initial version is a bit longer than the new version—Lutz is a master of tightening down his texts to their most linguistically intensified cores—but it is in no way sloppy. It is a great privilege for continent. to be able to make available rare texts of (first) aesthetic and (second) scholarly value. For those readers unfamiliar with Gary Lutz, I believe this story will serve as a worthy introduction. Like Raymond Carver, Diane Williams, Christine Schutt, and so many other important twentieth century and contemporary short story writers, Lutz studied with and was edited by Gordon Lish. This connection is apparent in his attention to sound and the sentence as compositional unit, but Lutz's is a unique voice. “This Is Nice of You” bears Lutz's trademark torqued and turning syntax, his sexed-but-nameless characters, his rendering of the human body and its emissions as utterly discomfiting. Lutz's preoccupations with the mundane raise ordinariness, via startling language and observation, to grandiosity and grotesquery. In the fall of 2008, Lutz delivered a lecture entitled “The Sentence is a Lonely Place” to writing students at Columbia University. The lecture was later printed in The Believer (and is linked below). In it, he spoke about the importance of the sentence as a compositional unit, as even the distinguishing formal characteristic of prose. Specifically, Lutz explained that, from Lish, he had developed a "poetics of the sentence." Accordingly, Lutz constructs his stories at the level of the sentence, paying extreme attention to the material of words- their letters and their sounds- and the way they abut one another and interact on this material level even before they are employed in the service of traditional aims of fiction like meaning or story. Lutz often uses a(n almost constraint-related) technique called consecution. Letters or sounds from one word are carried forward into the following, producing drama and movement in the language itself at a level entirely apart from that of plot. For example, you can see how the 't's in the first sentence of “This Is Nice of You” repeat fast and hard through met and then soften into the 'th's of brothers and they. This close attention to the specific material and characteristic conditions of prose means that Gary Lutz's work always involves both a happening in language and of language. “This Is Nice of You” has a richness and depth that is hidden not in symbolism or obscure reference but on the surface of the page, in the language of every sentence. FURTHER READING Lutz, Gary. “ The Sentence Is a Lonely Place. ” The Believer January, 2009. Web. Short stories and excerpts at Web del Sol . Web. Taylor, Justin. “ An Interview with Gary Lutz .” Bookslut. July, 2006. Web. THIS IS NICE OF YOU [156] [1] I was a man dropping already well through my forties, filthy with myself, when, taking a turn at the toilets one afternoon, I met two brothers-they said they were brothers-who swore they had a sister, a schoolteacher, an officer of instruction at the county college, a whirlwind midlife turmoil of everything already put to ruin, who had gone off from a new marriage in an old car, an upkept and ennobling sedan, but had returned now to the apartment and [157] was living there alone with the little runoff there was from the marriage-some outcurved appliances, apparently, and low-posted furniture promoting its own mystery but becoming figurable in certain concentrations of TV light-and, above all, a telephone (on a pedestal, they insisted), the handpiece of which she gripped in lieu of exercise, or in fury, and I thus let out my little, reliable cry that I was in fact a student of the telephone, that it was a debasing apparatus in the main, with its meager economy of bells and tones, and the intimacy of the mouthpiece that sent your breath, tiny aftervapors of it, back toward your lips, so that regardless of the party accepting the outgoing products of your voice, you were, at most, in a further, rivaling exchange with yourself alone, and this is what must have brought the two of them around, the men who proclaimed brotherhood with the woman, because they offered me her phone number, put it at my disposal on a piece of paper one of them had already committed it to, a tearing from a menu, and the looks the men were now giving me had deletions in them, already, of my exact, beanpole shape and size. So off I went to a pay phone, the nearest canopied one I could find. The woman answered after the second ring and said she needed a lift right that very moment into the little, unlevel city close by. She was idling in the doorway of the building when I pulled up in front, and I helped her into the car, then got back in myself. I had always had a way of not having to look at people that nonetheless brought them to me in full, and so I still am certain of the susceptive and impressible comp-[158]lexion, the shimmer on the mouth, a lipstick of low brilliance, a difficulty around the eyes, the hair short and rayed out exclamation ally, skin bagged up over the elbow bone, conflict even in how her arms stayed at her sides—in sum, a spinal loveliness for me, an off-blonde quantity with shadowed, thumbworn hollows that put me out of as much as I might have ever known of women before. I set the two of us into the narrow traffic, and I remember telling her, by way of explaining the little burden which I had shifted, by now, from the shelf of the dashboard and onto my lap, that when you lived in filth, as I then did, a daily newspaper came to count for a lot, although instead of the thick-supplemented local paper I bought a trimmer one from a backlying town—not, of course, for any affluences of native data it carried, but as an article of house ware: a rough immaculacy in four lank sections, a set of fresh, hygienic surfaces to come between the table, say, and whatever I had going for me at the table, if the table was where I was going forward—because what else so cheap comes so clean and far-spreading? The woman told me that her own trouble with paper was that through a modest hole, no larger than a quarter, that had been drilled a foot or so above the floor (the standard height, she had reasoned, of legitimate electrical outlets), and by means of which her faculty office had at last gained communication with the roomier but unoccupied office next door, more and more often shot a single sheet of paper, plain copier paper she had rolled just barely into a tube, [159] so that after landing on the floor of the neighboring office the paper would preserve little if any of the curl, and there would be nothing written or typed on it, of course, and it was always a blank sheet that had been ageing on her desk for some time and had already been moved around, or advanced, from station to station on the desktop, coming into further creaselets and crimps and other infirmities—paper, in short, still too bare and unfraught to be thrown responsibly and forgettably away, and yet too seasoned and beset with irritations of the surface (a molelike blemish, say, or what looked like a tiny hair, an eyelash, sunk into it, or frecklings, or notational pressings of a fingernail), too wrought, in sum, for the paper to be appointed to any secure curricular purpose. Her office, she claimed, was in fact full of such paper, much-handled and singularized sheets of it by the loose, functionless hundred. I had to get it across to the woman that I myself no longer had an office, or any other place to divide me reliably from everybody else, and that for much of the daylight I thus appeared to be among people because I kept putting myself where people came together into even closer-fitting assortments, the viewing areas and showrooms and rotundas and such: I took in the lean-to look of the women, the tongues coming and going in what the men kept thinking of to say—whole families of low knees for me to bark my shins against during the crowded and involving way out. At home afterward, in the one room where my life was packed down, I would keep my nose stuck in the safehold of the phone [160] book, where the names of people suffered reduction to mere episodes of the alphabet and underwent humbling declensions down every column (Lail, Lain, Laine, Lainerd), and he names of streets, of the towns and townships, got docked in crude, heedless abbreviations (the vowels almost always the first to get poked out), and I would run my eyes over the telephone numbers themselves, each sequence of digits another fallible run of the infinite. I thus corrected my feelings for people and assembled myself emotionally into whatever else I had at hand—the obligating arms of the clothes hangers, usually, or the keen-angled understructure, the guardian legginess, of the ironing board. The woman said that in her case, though, it was more a matter of making slow circuits of the classroom where she had to put across the Emporial Sciences, retail theory and methods, to heat-giving and suggestive young women, some of them world cruelties already. There was the cooing of empty stomachs in the hour just before lunch, and the braying and fizzle of loaded stomachs in the low hours of the afternoon. She would recite her notes in a voice barely loyal to anyone octave, a tiny alluvium of slaver hardening at the corners of her mouth on the days she gave the glassy lozenges a slow, warming suck, and she would take lowering notice of how whatever she said succumbed at once to freak spellings and razzing paraphrase in the big, dividered notebooks; and because in midafternoon light the world looked as thorough, as filled in, as it was ever going to get, a better way to set about ruining her eyes was to review how hair had [161] established itself on the arms of the young women, because almost every arm had brought across itself a welcome and diversifying shadow. On one girl it would be a fine, driftless haze afloat above the white of the arm, never seeming to touch down on the skin itself. (An atmosphere, at most, of chestnut brown.) On another, it was as if copper wire, the narrowmost lengthlets of it, had been stuck into the fleshy batter of the thick, freckled forearms. On a third: a field of it–wheat-colored, thin-spun. On a fourth; a differencing, darkish updrift that shaded off as it approached the inner bend of the elbow, then re-emerged at the base of the upper arm as whiskery fringe. On others it was a brassy or rust-colored frizz, or it was as coarse as cornsilk, or it looked fussed on, as if the arm had been slowly stroked with charcoal. But here the woman broke off, or I may well have made an interruption of my own—I think I must have asked whether she was hungry, and she said if I was, and so on one of the lesser streets I parked the car and led her down into a belowstairs eating house I still remembered. Sandwiches were presently lowered in front of us. I watched her remove the festooned toothpick from hers and then play her fingers over the toasted planes before she took a fond first bite. "This is nice of you," she said. I must have looked at her in the way I then had of getting people to speak so they would not seem to be dwelling any longer on my features, because if on the well-set face the mouth and eyes are said to seem frozen in elegant orbit about the til) of the nose, then mine was a face that behold-[162]ers, regarders, could not help trying to round off with greater success, to goad the particulars of it back into the arcs they had wandered away from—the mouth, for instance, having been pursed and pinched suchwise that it seemed resident more on one side of the face than the other—and there were other signs of original strife to be busied with (slapdash eyebrows unbunched, it appeared, from reserves of hair elsewhere on my person; a showing of adult acne, a shrivelly little relevance of it, confined to the declivity of my nose); and so to be polite, the woman thus sank her gaze into her sandwich, and told me, in a voice lowered accordingly, that, one late-childhood summer, she had devoted herself to collecting postage stamps: it was a tongue-involving sideline to early-arriving puberty, and she liked having to lick the pale, gummed hinges instead of the sticky backs of the stamps themselves before entering everything into the hosting album; and once, during some foul weather between her and a brother (the older, thrown-over one, who had already made a habit of fooling the underside of his arm across the top of hers and calling her "pussified"), she reached for the shoe box in which she had let duplicate stamps accumulate—Spanish ones, mostly, of a fading orange—and sent the box slooshing through the lower air so that the stamps showered onto the brother's bare legs with a full, delicate harm. The woman was now touching up the surface of her iced tea with tiny activities, initiatives, of the longspun spoon. I myself was good at getting my touch onto things, although in a way that seemed to mix up the motive atoms inside [163] them, but I was satisfied that for the moment my sandwich, the unbitten-at half of it, was displayable and fit and local to my plate. The woman went on to say that, as a child, she had been bundled off, many an afternoon, to the slope-ceilinged quarters of a bachelor uncle who, when speaking of anybody not immediately present, could not bring himself to use the person's name but instead would say "an acquaintance of mine in ..." and then mention the name of some lapsed homeland, or little-loved rural orchestra, or backset building about to come down; and it was never a riddle, this device of his (not once could the girl have been expected to identify any of the subjects), and no matter how often and aloud he insisted that particularizing persons any further—bringing even a first name down upon anyone of them—would have been indecent, he claimed, much like doing things to people while they slept, the girl accepted all of the uncle's prim and extravagant evasion for what he surely must have intended it to be: a neat, protective trick to space the world out a little further in her favor, to scatter the population so that wherever her hand might at last come down, it would have to be on herself alone. And here I could sense that the woman wanted from my mouth an account of as much as I myself might have ever managed of attachment, so I told her I had once owned a house (a rising, really, of much-fingered, handwrought architecture that amounted to a little family of rooms above garages: a boxlike building with a rattly thorax of downspouts [164] and drainpipes and an unfolded but full-toned fire escape), and I had had for a time a boarder, a student, a high-colored, loose-packed representative of declining girlhood, hung with necklaces and barrettes, a girl of precise but shifting leanings and inclinations; and the afternoon she had come round to ask after the room, I stood in the entranceway, handshaken and asweat, and from what would later be my memory of the girl, I made off with, first, how every pore of her nose seemed to be sheltering within itself a tiny dark seedlet, a grain of something immediately, enormously valuable. And an almost lipless mouth (just a slit, practically), the teeth inside looking wet, watered-it was my life's chore, at that instant, to keep from sending the back of my thumb blotterlike across the line of them (I was later to learn she drank everything cold and through the narrowest of straws). And her hair: it was tea-colored hair she had, long and reachful, an unstopped downcome of it. Tall for a girl, but she managed to stay out of much of her height and put herself across as somebody backward, or behind. I must have told the girl, as best I could, that I of course had a wife, a full-faced, imperishable partner, though for the moment she was gone otherwhere in the marriage, and here the woman, my present companion, my tablemate, whose feet were now parked, in parallel, on the grade of my upper leg, interrupted to say that her husband, too, had been such a liar, and what could I bring up by way of reply other than that a lie is a truth struck through with other, further truth, or that a lie is the present multiplied by the past or that a lie [165] is an outcry of borrowed hope? The woman gave me an allowed look of disgust, her eyes lowered but still popular with me, and on I went with what had now become the girl of my story. For there had been a great, gainful carpet in the room I put the girl into, a matty expanse of coarse, grabby piles, an engrossing affair that took things into itself and held them tight, misered them, and I of course insisted that the girl not bother herself with its upkeep, that I enjoyed weekly access to a prestigious, upstanding vacuum cleaner; but no sooner was the girl out of the house each morning than I would withdraw from my room, where time was unportionable, and loose myself into the ticktock impertinence of the girl's room and get down on my knees, and, going after the carpet first with my fingers, then with a forceps, and finally by unspooling lengths of clear package-sealing tape and pressing them against the tufts in neat rectangles to catch what I might have missed, I brought vast tracts of the carpet to depletion, recovering not simply the girlinesses, the girleries, one would expect (buttons, straight pins, downed jewelry), but flirtier personalia in the form, say, of a stray confetto brought into the world when a page had been wrung with out caution from a spiral-bound notebook, or some pleated paper shells of the chocolates she required, or one of the bargain antihistamines she took to get her naps going, or a trash-bag tie ragged enough to show the kinked line of the wire within (this I would get wound around my finger), or a cough drop enwrapped like a bonbon (I would undo the [166] wings of the wrapper and have to decide whether to suck the drop all down or begin chewing it midway)—I became the following, the public, that these things, these off-faIlings, had come to have; but mostly there was hair, afloat above the uppermost pushings of the fabric of the carpet an almost continuous haziness of loose hairs of all lengths and sources, and I would have to set them out on a fresh sheet of paper and assort them according to the regions of the body they had taken their departure from, and in no time I had nest-like filiations of broken filaments and smaller involvements of the hairs that made me think of hooks, of barbs, of treble clefs, and each pile required a separate envelope, to be filed in a separate shoe box for every sector of the body until, I hoped, the boxes themselves would no longer be enough and I would have raised something semblable, brought up something equal in volume to the comprehensive girl herself. And her wastebasket! For every bit of rubbish, every dreariment she tossed into the thing, I would, in secret, deposit a reciprocal discard of my own, matching a spotted, confessory tissue of hers with a lurid throwaway after my own heart–the cardboard substructions of a fresh parcel of underwear, maybe, or tearings from pantyhose I now and again pressed against a span of my forearm to work onto it the complications of female shading I otherwise made do, choosily, without. I thus built the two of us up together in her trash! One afternoon-it was another of those lifeful, unsam-[167]pled days on which the world humors us each a little differently to keep us nicely on our last legs—I discovered in the wastebasket an inch-deep textbook of hers, a paperback with a celery-colored cover that had come partly unglued, and this dilapidation I paired off, naturally, with a name-your baby guide to whose pages, during my recurrent turnings of them, in bed or at table, I had contributed dried produces of my person, a chemical splendor entirely mine. This coupling sent a sudden spigoty thrill from me that forced an unbuckling and an unzipping and a cleanup with a handkerchief I then ventured responsively into the wastebasket as well. It was in the bathroom afterward that I found a suds-clouded puddle on the unlevel floor of the tub, a little undrained remainder, rimmed with offscum, of the girl's prolonged early-morning soak, and this was as much as I needed to get on my hands; I pressed them flat against the wet porcelain, then flapped them around in the air, and that was when I noticed it—in the amphitheater of the toilet bowl, an orange-yellow tint, or value, to the waters. When the girl arrived home that evening, I told her, of course, that I had discovered fresh, unforeseen trouble within the tank of thelet (a misalignment of the trip lever, a waywardness of the float ball, a ulation of the lift wires, kinks and defects, really, throughout the entire system) and that in fine it was an apparatus now operable only by means of advanced and strenuous equilibrial manipulations that it would be unseemly, inhospitable, of me to pre-[168]sume to burd to burden her with–so that from here on out, following any leak or evacuation she need merely lower the lid and then, before quitting the room, ring the handbell that had been placed on the would seeeverythinghing else. But the bell never rang, not even once, and from my window the next morning I watched the girl carry from the house a little plastic bag distended balloonishly, much like those bags you will remember having seen in the hands of children bearing homeward their solitary carnival-prize goldfish. In fact, I never ran across the likes of the girl again. The man who came to collect her things-not the father, apparently, but an advocate, an upholder-l found to be dull-eared and lax in his speech, and the better part of his face seemed to have already begun making tiny, rotational departures from whatever it was that the eyes, themselves impressively mobile, were just that moment having to take in. (Was there a lamp in the house that was not that night slopping its wattage over everything?) I guess I was waiting for the man to take a laggard, last-minute interest in me, and by now I was pushing everything out into the paired first person–it was, I said, “Our night shot,” and I began including the two of us in whatever it might be doing out, the expected sprinkles and such—but he was no friendship buff, and he paid no heed to my telling him that the only dress of hers I'd ever twidged myself into even part of the way had been the simplest of them all, a large-buttoned wonder of depthless blue, and then only on the principle that one naturally fits whatever one has into whatever somebody else [169] had first, or how else would the world keep getting any taller with people? The man just went about the removal of the girl's things without having to be reminded too noticeably, I guess, of how every dick hangs by a thread. My listener, though, had by this time brought about some becoming slowings of her arm—it was an arm inclinable to langorous diagonals and magicianly swoops through the air above the tabletop—but it no longer was involving itself with her plate, so I suggested we shove off, I made payment for the food, and on our way to the car, and then in the car as I took to following her pointings, the directional tilts of her head, she said that you naturally kept putting more and more of yourself into another person, at first wondering how much she can take, how much of you is accumulable and how much she can hold, and you're letting things out, disbursing yourself, and you've soon got things set up in her, and room is being made for even more of you, and if you bring this off with enough people, even two or three, what you've got is at first a comfort, because you can pass yourself along and move a little more widely through the world and leave it to these others to man your grievances, your disappointments; and what brought this to mind, the woman said, was a term of financial hardship she had contrived for herself a few years back, an unpaid leave of absence from scrupling letter grades onto quiz papers (propped-up As, and upended Bs made to look, rather, like fannies; all As and Bs, no Cs or anything lower, the difference between an A and a B having less to do with the accuracy of whatever facts might [170] have been impounded in provided for an answer than with anything recallable about the way the enrollee ad conformed her body to the confining perpendiculars of her chair and the navel-level writing surface that projected from it, or the way there might one day have been an unignorable blush on the instep of a once-moseying foot, disburdened of its shoe, that had got itself trapped in the grillwork of that cagelike involvement, intended for books, that was welded to, or otherwise schemed into, the underworks of the chair)—this had been a duration, in short, of controlled difficulty when the misexpenditure of even a twenty-dollar bill had set her thrilling, gloating, over everything she would miss out on, and one afternoon she had made an engagement for a haircut, just a trim, and very early in the session the haircutter, a woman ill-defined in the face but otherwise full of conspicuities of emotion, set down the prevailing scissors and pressed the flat of a lukewarm hand against the woman's cheek, held it there for a good minute or longer, while the other hand eventually found its way into a drawer, a shallow treasury of slender specialty scissors, one pair of which the cutter withdrew and began routing deductively through the woman's hair, the other hand staying put on the cheek, longer and longer, and the woman went home and for afterward the bathtub was now a more likely destination than any of the upright furniture, and it got easier to fill the tub with further clarifying volumes than to clear space on the difficult heights of the sofa, and she was hardly claiming to have become a cleaner [171] person in result—she in fact would often discover, voyaging about her body, a browned, fractionary detail of a larger crepe of toilet tissue that must have got itself stuck in some assy crevice and was impossible to get plucked out of the revolving suds—she was saying only that she spent more and more of her time thus immersed, ill off in water, and the haircutter had surely had a hand in it, the woman was doing some of the cutter's life now, coming into some of its wrong, because you sometimes have to look to somebody else's life to get dimensions set back even part of the way around your own, and it should not have to be any less your own life when it comes from somebody else, and you could surely fudge a society out of anyone available person and get this person doubling for the many, so that in the little run of things perpetuable from one person to the next, every loose moment stood to become a complete, active finality. But by now this was a new day, with only an hour or so off it already, and the place the woman had made me bring us to, the man's place, with a promise that the man was elsewhere—this was on a little offshoot of a street, a stewy efficiency apartment the color had long ago gone out of; and when, once in bed, still clothed, I found among the sheets and blankets a spoiling pair of the man's underpants, one of the leg openings of which was puckered into an avid, sloppy mouth, I held myself accountable for redisposing the fabric until I got a befitting featurelessness back onto it; but all the while, I am sure I had to make myself go over again in my mind that if the body is the porter of as many organs of affec-[172]tion as there might one day turn out to be, then the idea was to let the thing carry you to where you would otherwise never have any reason to arrive, because I listened for the unmelodiof the the thede ofthe woman's zipper, and then the woman made me put myself out of my own clothes, the attritional corduroys and overshirt, and got herself up at last onto the topic not of the man whose apartment it was (because his story was scarcely the story of how the boy who decides he is half a girl no sooner starts to worry about where the other half might than he gets careless with where he rests his eyes, or what he gives even the feeblest of fingerholds to, and anything, even a crumbly triangle of pie offered on a saucer instead of on a pie plate proper, comes in easy, ready, wronging answer), but of her husband, and how, no more than a couple of months into the marriage, he had begun snugging away in his undershorts a little source of chanc, reliable frictions to nudge him onward through the workday—anything company-keeping that could be counted on not to slide out of the elasticky leg holes: a half-dollar packet of chocolate tittles, maybe, that was barely noticeable in the baggy surround of the widecut trousers so popular at the time. For by now the woman had at last brought what is usually called the other mouth to within only inches of my lips, but it is not a mouth, obviously, although I let myself go along with the goodwill behind the comparison, the way I will remain loyal to anything deliberately and faithfully misunderstood, and I fussed my tongue against the vital trifles hung inside of her, as much of the curtailed finery as I could find, [173] and gave the whole insimplicity of it a slow-circling, examinational lick, until I was taking a sudden tepid downwash on the tongue. It was a familiar, latrine in dribble that must have tasted, no doubt, like trouble just starting out.p [1] Editor's Note: Original pagination from first edition print denoted with bracketed page numbers. (shrink)

In his well known proposition that pleasures differ qualitatively, Mill seems to be arguing three principal points. ‘Mental’ pleasures as a kind are intrinsically ‘more desirable and more valuable’ than ‘bodily pleasures’ . This estimation of pleasure, Mill says, is such as to rule out the claim that it ‘should be supposed to depend on quantity alone.’ Indeed, he continued, the ‘superiority in quality’ might be ‘so far outweighing quantity as to render it, in comparison, of small account’ (...) . The ‘test of quality and the rule for measuring it against quantity,’ Mill says, is ‘the preference’ of experienced judges . ‘[T]he judgment of those who are qualified by knowledge of both, or, if they differ, that of the majority among them, must be admitted as final’. (shrink)

Abstract. The notion of similarity has been studied in many areas of Computer Science; in a general sense, this concept is defined to provide a measure of the semantic equivalence between two pieces of knowledge, expressing how “close” their meaning can be regarded. In this work, we study similarity as a tool useful to improve the representation of arguments, the interpretation of the relations between arguments, and the semantic evaluation associated with the arguments in the argumentative process. In this direction, (...) we present a novel mechanism to determine the similarity between two arguments based on descriptors representing particular aspects associated with these arguments. This mechanism involves a comparison process influenced by the context in which the process develops, where this context provides the relevant aspects that need to be analyzed in the application domain. Then, we use this similarity measure as a quantity to compute the result of attacks and supports in the argumentation process. These valuations, applied to a Bipolar Argumentation Frameworks, allowed us to refine the argument relations, providing the tools to establish a family of new argumentation semantics that considers the similarity between arguments as a crucial part for the argumentation process. (shrink)