Our aim in this paper is to take quite seriously Heinz Post’s claim that the non-individuality and the indiscernibility of quantum objects should be introduced right at the start, and not made a posteriori by introducing symmetry conditions. Using a different mathematical framework, namely, quasi-set theory, we avoid working within a label-tensor-product-vector-space-formalism, to use Redhead and Teller’s words, and get a more intuitive way of dealing with the formalism of quantum mechanics, although the underlying logic should be modified. We build (...) a vector space with inner product, the Q-space, using the non-classical part of quasi-set theory, to deal with indistinguishable elements. Vectors in Q-space refer only to occupation numbers and permutation operators act as the identity operator on them, reflecting in the formalism the fact of unobservability of permutations. Thus, this paper can be regarded as a tentative to follow and enlarge Heinsenberg’s suggestion that new phenomena require the formation of a new “closed” (that is, axiomatic) theory, coping also with the physical theory’s underlying logic and mathematics. (shrink)
The concept of individuality in quantum mechanics shows radical differences from the concept of individuality in classical physics, as E. Schrödinger pointed out in the early steps of the theory. Regarding this fact, some authors suggested that quantum mechanics does not possess its own language, and therefore, quantum indistinguishability is not incorporated in the theory from the beginning. Nevertheless, it is possible to represent the idea of quantum indistinguishability with a first-order language using quasiset theory (Q). In this work, we (...) show that Q cannot capture one of the most important features of quantum non-individuality, which is the fact that there are quantum systems for which particle number is not well defined. An axiomatic variant of Q, in which quasicardinal is not a primitive concept (for a kind of quasisets called finite quasisets), is also given. This result encourages the searching of theories in which the quasicardinal, being a secondary concept, stands undefined for some quasisets, besides showing explicitly that in a set theory about collections of truly indistinguishable entities, the quasicardinal needs not necessarily be a primitive concept. (shrink)
Ramsey famously pronounced that discounting “future enjoyments” would be ethically indefensible. Suppes enunciated an equity criterion implying that all individuals’ welfare should be treated equally. By contrast, Arrow accepted, perhaps rather reluctantly, the logical force of Koopmans’ argument that no satisfactory preference ordering on a sufficiently unrestricted domain of infinite utility streams satisfies equal treatment. In this paper, we first derive an equitable utilitarian objective based on a version of the Vickrey–Harsanyi original position, extended to allow a variable and uncertain (...) population with no finite bound. Following the work of Chichilnisky and others on sustainability, slightly weakening the conditions of Koopmans and co-authors allows intergenerational equity to be satisfied. In fact, assuming that the expected total number of individuals who ever live is finite, and that each individual’s utility is bounded both above and below, there is a coherent equitable objective based on expected total utility. Moreover, it implies the “extinction discounting rule” advocated by, inter alia, the Stern Review on climate change. (shrink)
Graciela De Pierris presents a novel interpretation of the relationship between skepticism and naturalism in Hume's epistemology, and a new appraisal of Hume's place within early modern thought. Contrary to dominant readings, she argues that Hume does offer skeptical arguments concerning causation and induction in Book I, Part III of the Treatise, and presents a detailed reading of the skeptical argument she finds there and how this argument initiates a train of skeptical reasoning that begins in Part III and (...) culminates in Part IV. She goes on to demonstrate that Hume was committed to the Newtonian inductive method while rejecting the place of the supernatural in our understanding of nature. (shrink)
In multicellular organisms, cells are frequently programmed to die. This makes good sense: cells that fail to, or are no longer playing important roles are eliminated. From the cell’s perspective, this also makes sense, since somatic cells in multicellular organisms require the cooperation of clonal relatives. In unicellular organisms, however, programmed cell death poses a difficult and unresolved evolutionary problem. The empirical evidence for PCD in diverse microbial taxa has spurred debates about what precisely PCD means in the case of (...) unicellular organisms. In this article, we survey the concepts of PCD in the literature and the selective pressures associated with its evolution. We show that definitions of PCD have been almost entirely mechanistic and fail to separate questions concerning what PCD fundamentally is from questions about the kinds of mechanisms that realize PCD. We conclude that an evolutionary definition is best able to distinguish PCD from closely related phenomena. Specifically, we define “true” PCD as an adaptation for death triggered by abiotic or biotic environmental stresses. True PCD is thus not only an evolutionary product but must also have been a target of selection. Apparent PCD resulting from pleiotropy, genetic drift, or trade-offs is not true PCD. We call this “ersatz PCD.”. (shrink)
In this paper we enrich the orthomodular structure by adding a modal operator, following a physical motivation. A logical system is developed, obtaining algebraic completeness and completeness with respect to a Kripkestyle semantic founded on Baer*-semigroups as in [22].
We are affected by the world: when I place my hand next to the fire, it becomes hot, and when I plunge it into the bucket of ice water, it becomes cold. What goes for physical changes also goes for at least some mental changes: when Felix the Cat leaps upon my lap, my lap not only becomes warm, but I also feel this warmth, and when he purrs, I hear his purr. It seems obvious, in other words, that perception (...) (at least, and at least under ordinary conditions) is a matter of being affected by the agency of perceptible objects. Call this doctrine affectionism. Durand of St.-Pourçain rejects affectionism. The paper has three parts. In the first part, I sketch, briefly, what motivates Durand to reject affectionism. In the second part, I will take up the affectionist doctrine as defended by Durand's older contemporary at Paris, Godfrey of Fontaines, who holds that the object of all our mental acts (not just perceptions, but also thoughts and desires) is the efficient cause of those acts, or, in other words, all mental acts (not just perception) come about owing to the affection of the relevant mental faculty by the agency of the object. As it turns out, Godfrey develops a celebrated argument against the thesis that the object is not the efficient cause but a mere sine qua non cause. Hence his position offers a challenge to Durand's position, a challenge, I argue in the third part, Durand meets. (shrink)
By giving the proper emphasis to both radical skepticism and naturalism as two independent standpoints in Hume, I wish to propose a more satisfactory account of some of the more puzzling Humean claims on causation. I place these claims alternatively in either the philosophical standpoint of the radical skeptic or in the standpoint of everyday and scientific beliefs. I characterize Hume’s radical skeptical standpoint in relation to Hume’s perceptual model of the traditional theory of ideas, and I argue that Hume‘s (...) radical skeptical argument concerning our causal inferences is inextricably linked to his skeptical argument concerning our idea of a necessary connection between cause and effect. I discuss Hume’s naturalistic account of the origin of our idea of necessity and offer a new reading of Hume’s two “definitions” of cause. I argue along the way against central aspects of two opposing styles of interpretation---Norman Kemp Smith’s and Annette Baier’s, on the one hand, and Robert Fogelin’s, on the other---that in my view do not appreciate the mutual autonomy of radical skepticism and naturalism in Hume. (shrink)
Hume’s discussion of space, time, and mathematics at T 1.2 appeared to many earlier commentators as one of the weakest parts of his philosophy. From the point of view of pure mathematics, for example, Hume’s assumptions about the infinite may appear as crude misunderstandings of the continuum and infinite divisibility. I shall argue, on the contrary, that Hume’s views on this topic are deeply connected with his radically empiricist reliance on phenomenologically given sensory images. He insightfully shows that, working within (...) this epistemological model, we cannot attain complete certainty about the continuum but only at most about discrete quantity. Geometry, in contrast to arithmetic, cannot be a fully exact science. A number of more recent commentators have offered sympathetic interpretations of Hume’s discussion aiming to correct the older tendency to dismiss this part of the Treatise as weak and confused. Most of these commentators interpret Hume as anticipating the contemporary idea of a finite or discrete geometry. They view Hume’s conception that space is composed of simple indivisible minima as a forerunner of the conception that space is a discretely (rather than continuously) ordered set. This approach, in my view, is helpful as far as it goes, but there are several important features of Hume’s discussion that are not sufficiently appreciated. I go beyond these recent commentators by emphasizing three of Hume’s most original contributions. First, Hume’s epistemological model invokes the “confounding” of indivisible minima to explain the appearance of spatial continuity. Second, Hume’s sharp contrast between the perfect exactitude of arithmetic and the irremediable inexactitude of geometry reverses the more familiar conception of the early modern tradition in pure mathematics, according to which geometry (the science of continuous quantity) has its own standard of equality that is independent from and more exact than any corresponding standard supplied by algebra and arithmetic (the sciences of discrete quantity). Third, Hume has a developed explanation of how geometry (traditional Euclidean geometry) is nonetheless possible as an axiomatic demonstrative science possessing considerably more exactitude and certainty that the “loose judgements” of the vulgar. (shrink)
Philosophical feminism is the only coherent philosophy with universal implications that provides a theoretical alternative to patriarchal thought and sociopolitical structures. I distinguish between a patriarchal logic of power and a feminist logic of pleasure that leads to an enlightened ethical hedonism, a pleasure-centered, feminist ethical framework based on a cooperative rather than authoritarian model of social relations.
In this paper, I discuss the current thesis on the modern origin of the ad hominem-argument, by analysing the Aristotelian conception of it. In view of the recent accounts which consider it a relative argument, i.e., acceptable only by the particular respondent, I maintain that there are two Aristotelian versions of the ad hominem, that have identifiable characteristics, and both correspond to the standard variants distinguished in the contemporary treatments of the famous informal fallacy: the abusive and the circumstancial or (...) tu quoque types. I propose to reconstruct the two Aristotelian versions (see sections 1 and 2), which have been recognized again in the ninteenth century (sec. 3). Finally, I examine whether or not it was considered as a fallacious dialogue device by Aristotle and by A. Schopenhauer (sec. 4). (shrink)
Background: Informed consent in clinical research is mandated throughout the world. Both patient subjects and investigators are required to understand and accept the distinction between research and treatment.Aim: To document the extent and to identify factors associated with therapeutic misconception in a population of patient subjects or parent proxies recruited from a variety of multicentre trials .Patients and methods: The study comprised two phases: the development of a questionnaire to assess the quality of informed consent and a survey of patient (...) subjects based on this questionnaire.Results: A total of 303 patient subjects or parent proxies were contacted and 279 questionnaires were analysed. The median age was 49.5 years, sex ratio was 1 and 61% of respondents were professionally active. Overall memorisation of the oral or written communication of informed consent was good , and satisfaction with the process was around 70%. Therapeutic misconception was present in 70% of respondents, who expected to receive better care and ignored the consequence of randomisation and treatment comparisons. This was positively associated with the acuteness and severity of the disease.Conclusion: The authors suggest that the risk of therapeutic misconception be specifically addressed in consent forms as an educational tool for both patients and investigators. (shrink)
In 1952, Heinrich Scholz published a question in The Journal of Symbolic Logic asking for a characterization of spectra, i.e., sets of natural numbers that are the cardinalities of finite models of first order sentences. Günter Asser in turn asked whether the complement of a spectrum is always a spectrum. These innocent questions turned out to be seminal for the development of finite model theory and descriptive complexity. In this paper we survey developments over the last 50-odd years pertaining to (...) the spectrum problem. Our presentation follows conceptual developments rather than the chronological order. Originally a number theoretic problem, it has been approached by means of recursion theory, resource bounded complexity theory, classification by complexity of the defining sentences, and finally by means of structural graph theory. Although Scholz' question was answered in various ways, Asser's question remains open. (shrink)
Hume follows Newton in replacing the mechanical philosophy’s demonstrative ideal of science by the Principia’s ideal of inductive proof ; in this respect, Hume differs sharply from Locke. Hume is also guided by Newton’s own criticisms of the mechanical philosophers’ hypotheses. The first stage of Hume’s skeptical argument concerning causation targets central tenets of the mechanical philosophers’ conception of causation, all of which rely on the a priori postulation of a hidden configuration of primary qualities. The skeptical argument concerning the (...) causal inductive inference then raises doubts about what Hume himself regards as our very best inductive method. Hume’s own “Rules” further substantiate his reliance on Newton. Finally, Locke’s distinction between “Knowledge” and “Probability” does not leave room for Hume’s Newtonian notion of inductive proof. (shrink)
We study the extension of dependence logic \ by a majority quantifier \ over finite structures. We show that the resulting logic is equi-expressive with the extension of second-order logic by second-order majority quantifiers of all arities. Our results imply that, from the point of view of descriptive complexity theory, \\) captures the complexity class counting hierarchy. We also obtain characterizations of the individual levels of the counting hierarchy by fragments of \\).
The article argues the need to rehabilitate the concept of alienation within the post-Fordist model of production, insofar as it is the concept which – if we leave aside the general analysis of wage-labour within capitalist social structures – is best able to explain how the newly devised tools for the management of labour and, most importantly, for the mobilisation of the subjectivities of salaried workers, lead to a reduction both of their autonomy in work and of their opportunities for (...) escape from the stipulated behavioural norms. Finally, it is argued that the procedures for the organisation of production and labour, along with the mechanisms intrinsic to the mobilisation of labour, establish, to an unprecedented degree, the conditions for a denegation of alienation, thus consolidating it. (shrink)
By giving the proper emphasis to both radical skepticism and naturalism as two independent standpoints in Hume, I wish to propose a more satisfactory account of some of the more puzzling Humean claims on causation. I place these claims alternatively in either the philosophical standpoint of the radical skeptic or in the standpoint of everyday and scientific beliefs. I characterize Hume’s radical skeptical standpoint in relation to Hume’s perceptual model of the traditional theory of ideas, and I argue that Hume‘s (...) radical skeptical argument concerning our causal inferences is inextricably linked to his skeptical argument concerning our idea of a necessary connection between cause and effect. I discuss Hume’s naturalistic account of the origin of our idea of necessity and offer a new reading of Hume’s two “definitions” of cause. I argue along the way against central aspects of two opposing styles of interpretation---Norman Kemp Smith’s and Annette Baier’s, on the one hand, and Robert Fogelin’s, on the other---that in my view do not appreciate the mutual autonomy of radical skepticism and naturalism in Hume. (shrink)
In 2010, the Eurozone became the epicentre of the world crisis. The vulnerability of Europe appears to be linked to the specific institutional arrangement which organises monetary, financial and budgetary policies within the Eurozone. This article tries to understand the evolution of theeuduring a short but decisive historical sequence in a theoretical framework that puts elements of Gramsci’s reflections on the theme of crisis, and especially his notion of ‘Caesarism’, at its centre. It addresses the current debate concerning the relationships (...) between democratic politics and neoliberalism, while focusing on how the radicalisation of the crisis put at stake the co-construction of capitalism and representative democracy in the Western world sincewwii. (shrink)
Marie Durand n’est pas très connue en dehors du monde protestant. Elle a passé 38 ans emprisonnée dans la Tour de Constance à Aigues-Mortes parce que son frère était un pasteur clandestin du xviiie siècle. Elle est surtout connue depuis le livre de Benoît en 1884. Mais c’est au début du xxe siècle qu’elle devient une personnification de la résistance pacifique au nom des droits de la conscience et de la tolérance et qu'elle accède à un statut d'héroïne. Cela (...) permet aussi à la Réforme un renouveau moral et spirituel. La référence à Marie Durand s'accentue en 1945 et culmine lors des cérémonies de 1968. Elle symbolise ainsi le protestantisme toujours persécuté, mais luttant de manière non-violente pour maintenir la foi. (shrink)
The present dissertation concerns cognitive psychology—theories about the nature and mechanism of perception and thought—during the High Middle Ages (1250–1350). Many of the issues at the heart of philosophy of mind today—intentionality, mental representation, the active/passive nature of perception—were also the subject of intense investigation during this period. I provide an analysis of these debates with a special focus on Durand of St.-Pourcain, a contemporary of John Duns Scotus and William of Ockham. Durand was widely recognized as a (...) leading philosopher until the advent of the early modern period, yet his views have been largely neglected in the last century. The aim of my dissertation, then, is to provide a new understanding of Durand’s cognitive psychology and to establish a better picture of developments in cognitive psychology during the period. Most philosophers in the High Middle Ages held, in one form or another, the thesis that most forms of cognition (thought, perception) involve the reception of the form of the object into the mind. Such forms in the mind explain what a given episode of cognition is about, its content. According to what has been called the conformality theory of content, the content of our mental states is fixed by this form in the mind. Durand rejects this thesis, and one of the primary theses that I pursue is that Durand replaces the conformality theory of content with a causal theory of content, according to which the content of our mental states is fixed by its cause. When I think about Felix and not Graycat, this is to be explained not by the fact that I have in my mind the form of Felix and not Graycat, but rather by the fact that Felix and not Graycat caused my thought. This is both a controversial interpretation and, indeed, a controversial theory. It is a controversial interpretation because Durand seems to reject the thesis that objects are the causes of our mental states. In the first half of the present dissertation, I argue that Durand does not reject this thesis but he rejects another nearby thesis: that objects as causes give to us ‘forms’. On Durand’s view, an object causes a mental state even though it does not give to us a new ‘form’. In the second half of the dissertation I defend Durand’s causal theory of content against salient objections to it. (shrink)
