It is widely assumed that the identity relation is, among other things, transitive. Some have proposed that the identity relation might hold between objects contingently or occasionally. If, on those proposals, identity is shown to not be transitive, then there is reason to reject such proposals. One such argument attempts to show that the identity relation on such proposals violates transitivity in cases of ‘simultaneous’ fissions and fusion. I argue that, even in those cases, contingent identity and occasional identity are (...) transitive. (shrink)

The paper is conceived as a first study on the Suszko operator. The purpose of this paper is to indicate the existence of close relations holding between the properties of the Suszko operator and the structural properties of the model class for various sentential logics. The emphasis is put on generality both of the results and methods of tackling the problems that arise in the theory of this operator. The attempt is made here to develop the theory for non-protoalgebraic logics.

Paradigmatic uses of negative existentials such as ‘Vulcan does not exist’ are problematic because they present the interpreter with a pragmatic paradox: a speaker who uses such a sentence seems to be asserting something that is incompatible with what she presupposes. An adequate solution must therefore explain why we interpret paradigmatic uses of negative existentials as saying something true, even though such uses present us with a pragmatic paradox. I provide such an explanation by analyzing paradigmatic uses of negative existentials (...) as corrections of previous assertions that are judged to suffer from referential presupposition failure. I present the explanation within the framework of a simple version of segmented discourse representation theory. (shrink)

When I say ‘Hesperus is Phosphorus’, I seem to express a proposition. And when I say ‘Joan believes that Hesperus is Phosphorus’, I seem to ascribe to Joan an attitude to the same proposition. But what are propositions? And what is involved in ascribing propositional attitudes?

P.T. Geach has maintained (see, e.g., Geach (1967/1968)) that identity (as well as dissimilarity) is always relative to a general term. According to him, the notion of absolute identity has to be abandoned and replaced by a multiplicity of relative identity relations for which Leibniz's Law - which says that if two objects are identical they have the same properties - does not hold. For Geach relative identity is at least as good as Frege's cardinality thesis which he takes to (...) be strictly connected with relative identity - according to which an ascription of cardinality is always relative to a concept which specifies what, in any particular case, counts as a unit. The idea that there is a close connection between relative identity and Frege's cardinality thesis has been issued again quite recently by Alston and Bennett in (1984). In their opinion, Frege's cardinality thesis is not only similar to relative identity - as Geach maintains - but it implies it. Moreover, they agree with Geach in claiming that a commitment to Frege's cardinality thesis forces a parallel commitment to relative identity. Against Geach, Alston and Bennett we will claim that (Tl): "Frege's cardinality thesis is similar to relative identity" is false and that therefore (T2) "Frege's cardinality thesis implies relative identity" is false as well. (shrink)

In “On Referring” Peter Strawson pointed out that incomplete descriptions pose a problem for Russell’s analysis of definite descriptions. Howard Wettstein and Michael Devitt appealed to incomplete descriptions to argue, first, that Russell’s analysis of definite descriptions fails, and second, that Donnellan’s referential/attributive distinction has semantic bite. Stephen Neale has defended Russell’s analysis of definite descriptions against Wettstein’s and Devitt’s objections. In this paper, my aim is twofold. First, I rebut Neale’s objections to Wettstein’s and Devitt’s argument and argue that (...) Neale’s attempt to provide an account of referential descriptions within a Russellian framework fails. Second, contra Devitt and Wettstein, I argue that the problem posed by incomplete descriptions shows that Donnellan was right in believing that referential descriptions refer even if the definite description fits nothing. (shrink)

This essay is an attempt to understand the reasons for the current crisis of musical aesthetics. It examines the function of this discipline as the mediator between philosophy and musicology, it inquires into its connections with the ideals of autonomy, beauty and free subjectivity. During the 20th Century, major changes in society and their communication forms happened; anthropology and semiotics began to compete with aesthetics in explaining musical facts. The last paragraphs test the chances of resistance of musical aesthetics ; (...) musical meaning appears to be the only question which endured in spite of the considerable fragmentation and loss of profile of musical experience. (shrink)

This paper will critically examine two solutions to Frege’s puzzle: the Millian-Russellian solution proposed by Salmon and Braun, which invokes non-semantic modes of presentation (guises, ways of believing or the like); and Fine’s relationalist solution, which appeals to semantic coordination. Special attention will be devoted to discussing the conception of modes of presentation as mental files and to elucidating the nature of coordination. A third solution to Frege’s puzzle will be explored which, like Salmon’s and Braun’s, adopts the Millian-Russellian semantics (...) but, like Fine’s, involves coordination instead of modes of presentation; however, coordination will not be conceived as a semantic relation but as a cognitive and subjective relation, which provides no contribution to semantic content. This novel Millian-Russellian account involving cognitive coordination will be labelled cognitive relationism. (shrink)

Robert Stalnaker contrasts two interpretations, semantic and metasemantic, of the two-dimensionalist framework. On the semantic interpretation, the primary intension or diagonal proposition associated with an utterance is a semantic value that the utterance has in virtue of the actual linguistic meaning of the corresponding sentence, and that primary intension is both what a competent speaker grasps and what determines different secondary intensions or horizontal propositions relative to different possible worlds considered as actual. The metasemantic interpretation reverses the order of explanation: (...) an utterance has the primary intension it has because it yields the secondary intensions it yields relative to different possible worlds considered as actual. In these possible worlds, the semantic facts can be different: the metasemantic interpretation is metasemantic in the sense that the secondary intensions are determined relative to possible worlds considered as actual given the meanings the expressions have there. Stalnaker holds a causal picture of the reference of names, according to which names have no meaning over and above their unique referent, and therefore maintains that the semantic interpretation is not an option. He thus endorses the metasemantic interpretation, while insisting that this interpretation does not, contrary to what he originally thought, yield any account of a priori truth and knowledge. My double aim in this paper is to show (i) that the metasemantic interpretation, as sketched by Stalnaker, is not compatible with one natural understanding of the causal picture of reference, on which names are rigid because they have their original bearers essentially , and (ii) that a third kind of interpretation of the framework is available, the metasyntactic interpretation, which grants that names have their bearers essentially and yields some account of a priori knowledge. (shrink)

The canonical arguments against the description theory of names are usually taken to have established that the reference of a name as used on a given occasion is not semantically determined by the qualitative descriptions that the speaker may have in mind. The deepest moral of these arguments, on the received view, would be that the speaker’s narrow mental states play no semantic role in fixing reference. My central aim in this paper is to challenge this common understanding by highlighting (...) that the same argumentative schemas can be adapted to undermine a related non-description theory, according to which the reference of a name as used on a given occasion would semantically depend on broad mental states of the speaker. Once this is realised, it becomes evident that the falsity of the description theory is not the deepest lesson of the canonical arguments, but only a consequence of the deepest lesson. The most fundamental moral is that the speaker’s mental states, whether narrow or broad, do not always determine linguistic reference. (shrink)

Several theorists have observed that attitude reports have what we call “revisionist” uses. For example, even if Pete has never met Ann and has no idea that she exists, Jane can still say to Jim ‘Pete believes Ann can learn to play tennis in ten lessons’ if Pete believes all 6-year-olds can learn to play tennis in ten lessons and it is part of Jane and Jim’s background knowledge that Ann is a 6-year-old. Jane’s assertion seems acceptable because the claim (...) she reports Pete as believing is entailed by Pete’s beliefs if they are revised in light of Jane and Jim’s background knowledge. We provide a semantic theory of revisionist reports based on this idea. We observe that the admissible “revisions” are limited in a striking way. Jane cannot say ‘Pete thinks Ann is a 6-year-old and can play tennis in ten lessons’ in the same context that she can say ‘Pete believes Ann can learn to play tennis ten lessons’, even though this too follows from Jane and Jim’s background knowledge together with what Pete believes. Our theory predicts the infelicity of these latter reports. It also has the resources to predict the truth of “exported” attitude reports and casts the relationship between these reports and “singular thought” in a new light. We conclude by discussing how revisionist reports make trouble for a simplistic view of the connection between the relations expressed by attitude verbs in natural language and the relations of most interest to philosophers of mind and cognitive science. (shrink)

Peter Geach famously holds that there is no such thing as absolute identity. There are rather, as Geach sees it, a variety of relative identity relations, each essentially connected with a particular monadic predicate. Though we can strictly and meaningfully say that an individual a is the same man as the individual b, or that a is the same statue as b, we cannot, on this view, strictly and meaningfully say that the individual a simply is b. It is difficult (...) to find anything like a persuasive argument for this doctrine in Geach's work. But one claim made by Geach is that his account of identity is the account most naturally aligned with Frege's widely admired treatment of cardinality. And though this claim of an affinity between Frege's and Geach's doctrines has been challenged, the challenge has been resisted. William Alston and Jonathan Bennett, indeed, go further than Geach to argue that Frege's doctrine implies Geach's. If Alston and Bennett are right, then those who favor a broadly Fregean treatment of cardinality have no choice but to adopt Geach's doctrine of relative identity. And because contemporary set-theoretic accounts of cardinality are essentially Fregean in all respects relevant to this issue (see §11 below), it follows from Alston and Bennett's claim that virtually every standard modern treatment of cardinality requires a 'relativized' treatment of identity. The purpose of this paper is to argue against the implication claimed by Alston and Bennett. Despite some superficial similarities between Frege's treatment of cardinality and Geach's treatment of identity, the two doctrines are fundamentally opposed. Frege's account of cardinality, and its set-theoretic descendants, are all inconsistent with the claim that identity is 'relative' in Geach's sense. (shrink)

The topic of the paper is at the intersection of recent debates on de se thought and phenomenal intentionality. An interesting problem for phenomenal intentionality is the question of how to account for the intentional properties of de se thought-contents---i.e., thoughts about oneself as oneself. Here, I aim to describe and consider the significance of a phenomenological perspective on self-consciousness in its application to de se thought. I argue that having de se thoughts can be explained in terms of the (...) ways that subjects consciously attend to themselves in experiences of thinking. Therefore, a strong form of first-person persectivalness, in which the subject is capable of self-directed control of the focus of conscious attention, is required for de se thought. But no constraints on the semantic content of such thoughts are required. The outcome of the question therefore bears importantly on both on the problem of self-reflexive self-reference and the wider problem of self-consciousness. My model suggests phenomenologically-derived conceptual constraints for the extension of minimal, background forms of self-awareness to robust, cognitive forms of self-awareness that have been of interest in recent empirical studies on self-consciousness. The framework therefore provides a way of operationalizing the concept of self-reflexive consciousness by deploying widely deployed notions from the empirical literature such as attention and minimal phenomenal selfhood, enabling a framework for empirically falsifiable hypotheses about the neural mechanisms underlying the structure of self-consciousness. What Is it Like to Think about Oneself? De Se Thought and Phenomenal Intentionality. (shrink)

The topic of the paper is at the intersection of recent debates on de se thought and phenomenal intentionality. An interesting problem for phenomenal intentionality is the question of how to account for the intentional properties of de se thought-contents---i.e., thoughts about oneself as oneself. Here, I aim to describe and consider the significance of a phenomenological perspective on self-consciousness in its application to de se thought. I argue that having de se thoughts can be explained in terms of the (...) ways that subjects consciously attend to themselves in experiences of thinking. Therefore, a strong form of first-person persectivalness, in which the subject is capable of self-directed control of the focus of conscious attention, is required for de se thought. But no constraints on the semantic content of such thoughts are required. The outcome of the question therefore bears importantly on both on the problem of self-reflexive self-reference and the wider problem of self-consciousness. My model suggests phenomenologically-derived conceptual constraints for the extension of minimal, background forms of self-awareness to robust, cognitive forms of self-awareness that have been of interest in recent empirical studies on self-consciousness. The framework therefore provides a way of operationalizing the concept of self-reflexive consciousness by deploying widely deployed notions from the empirical literature such as attention and minimal phenomenal selfhood, enabling a framework for empirically falsifiable hypotheses about the neural mechanisms underlying the structure of self-consciousness. What Is it Like to Think about Oneself? De Se Thought and Phenomenal Intentionality. (shrink)

Wir stellen ein präzises Modell der wissenschaftlichen Begriffs-theorie vor, in dem die Beschreibungs-, die Wirklichkeits- und die mengentheoretische Ebene verknüpft werden. Einerseits wird ein allgemeiner Rahmen für die Gesamtheit der Begriffe, andererseits die „lokale” Struktur eines Begriffs beschrieben. Wir spezialisieren diesen Rahmen auf wissenschaftliche Begriffe, wissenschaftliche Theorien, und auf die zugehörigen strukturalistischen, wissenschaftstheoretischen Konstruktionen. We introduce a precise model for the theory of concepts in philosophy of science. In this model we connect the level of description, the level of reality (...) and the level of set theoretic systems. On the one hand we describe a general frame for the collection of concepts, and on the other hand the „local” structure of a concept. We specialize this frame to scientific concepts, scientific theories, and to the appertaining structuralist constructions from philosophy of science. (shrink)

Gaining information can be modelled as a narrowing of epistemic space . Intuitively, becoming informed that such-and-such is the case rules out certain scenarios or would-be possibilities. Chalmers’s account of epistemic space treats it as a space of a priori possibility and so has trouble in dealing with the information which we intuitively feel can be gained from logical inference. I propose a more inclusive notion of epistemic space, based on Priest’s notion of open worlds yet which contains only those (...) epistemic scenarios which are not obviously impossible. Whether something is obvious is not always a determinate matter and so the resulting picture is of an epistemic space with fuzzy boundaries. (shrink)

The differences between classes and individuals are profound and the fact that biological species are individuals rather than classes provides the basis for organizing knowledge on a causal basis. The class of species is a natural kind and there are laws of nature for this and other classes of natural kinds such as the organism and the molecule. Particular species, like other individuals, function in historical narratives by virtue of laws of nature applying to them. The notion that species can (...) evolve by changing their members is a category mistake. Darwin believed that there is no “essential” difference between species and subspecies in the sense that there is only a quantitative difference between them. The concept of biological species is defined on the basis of a qualitative difference. The rank of taxa can be used to distinguish between important natural kinds. Without such kinds language would become purely referential, and have no “sense” as Frege had put it. (shrink)

"This book is valuable as expounding in full a theory of meaning that has its roots in the work of Frege and has been of the widest influence.

In Objectivity, Daston and Galison argue that scientific objectivity has a history. Objectivity emerged as a distinct nineteenth-century “epistemic virtue,” flanked in time by other epistemic virtues. The authors trace the origins of scientific objectivity by identifying changes in images from scientific atlases from different periods, but they emphasize that the same history could be narrated using different sorts of scientific objects. One could, for example, focus on the changing uses of “type specimens” in biological taxonomy. Daston :153–182, 2004) indeed (...) provides a detailed account of the history of the type specimen which purports to show this. I argue that this attempt hinges on a conceptual confusion and therefore fails. I show that the actual history of the type specimen does not reinforce the account of epistemic virtues from Objectivity, but rather threatens to subvert it. (shrink)

At the center of Gauker's book stands two inter-connected theses: First, that concepts are dependent on language; second, that this requires rejecting the traditional idea that linguistic communication involves a transmission of thoughts. I argue that we cannot afford to reject the traditional conception of communication and that Gauker's alternative ‘cooperative' conception is unsatisfactory. However, I also argue that Gauker is wrong to suggest that the language dependency thesis of concepts is incompatible with the traditional view of communication.

Psychoontology is a philosophical theory of the cognizing subject and various related matters. In this article. I present two approaches to the discipline—the first proposed by Jerzy Perzanowski, the second by Jesse Prinz and Yoram Hazony. I then undertake to bring these into unity using certain ideas from Husserl and Frege. Applying the functor qua, psychoontology can be described as a discipline concerned with: (a) the cognizing subject qua being—this leads to the question: what kind of being is the subject (...) (is it an object?, simple or complex?, a process?) and what makes him/her/it possible; (b) being qua cognized, this leads to the question: under what conditions can we access the world? Since the notion of being qua cognized might seem peculiar, I present its context and discuss it in detail in the last section. (shrink)

Fine (2007) argues that Frege’s puzzle and its relatives demonstrate a need for a basic reorientation of the field of semantics. According to this reorientation, the domain of semantic facts would be closed not under the classical consequence relation but only under a stronger relation Fine calls “manifest consequence.” I examine Fine’s informally sketched analyses of manifest consequence, showing that each can be amended to determine a class of strong consequence relations. A best candidate relation emerges from each of the (...) two classes, and I prove that the two candidates extensionally coincide. The resulting consequence relation is of independent interest, for it might be held to constitute a cogent standard of reasoning that proceeds under a deficient grasp on the identity of objects. (shrink)

The present paper addresses Molnar’s problem :72–86, 2000): that of finding positive truthmakers for negative truths. The proposed solution, called, is to hold truth and falsity to be primitive and positive features of propositions and to take every literal negative truth to be made true by the falsity of the atomic proposition that it embeds. The solution is shown to be compatible with Maximalism, Necessitarianism and with the Entailment Thesis, as well as with most if not all possible variants of (...) truthmaking theory. Other advantages of are noted: it doesn’t require the inclusion of exotic objects in one’s ontology; it doesn’t require any revision of one’s logic or of one’s theory of modality. The solution also allows one to eschew negative facts, tropes and properties while providing a definition of negativity for certain literal propositions. The paper ends by rebutting several objections that may be levelled against. (shrink)

Despite attending Husserl’s classes, participating in the discussions of the Göttingen phenomenological circle, and writing prolifically on phenomenology, Eugen Enyvvari seems to have been virtually ignored by phenomenological scholarship. I use an array of unpublished sources and a survey of his juvenilia to reconstruct Enyvvari’s biography and intellectual formation, including his confrontation with Melchior Palagyi’s critique of Husserl and Bolzano. Based on both his reports and records from the Göttingen University Archives, I attempt to establish the influences to which he (...) could have been exposed in Göttingen. I rely on a careful micro-analysis of the development of Husserl’s notion of noematical meaning at the time of Enyvvari’s stay in Göttingen in order to asses Enyvvari’s specific contribution to phenomenology and his significance from the point of view of the general historiography of phenomenology. (shrink)

What is an object? A prior question: What is objecthood? Au fond, and to logic’s eye, object is a role to be played with respect to a thought. It is to be a countable which that thought represent as being some way for such a countable to be; what restores the business of truth-of to that of truth outright. What plays that role for some given thought is then an object with respect to that thought. Given this, there are corresponding (...) absolute notions, to be fit for this role, and to be fit only for this role. So the fundamental task here is identifying the conditions on playing this role at all. All this is a contribution, however limited, to a topic called ‘ontology’. This last word also occurs in the plural in several contexts. The end of this essay considers how these notions might relate, and what assumptions underlie what some have seen them to. (shrink)

The historical debate on representation in cognitive science and neuroscience construes representations as theoretical posits and discusses the degree to which we have reason to posit them. We reject the premise of that debate. We argue that experimental neuroscientists routinely observe and manipulate neural representations in their laboratory. Therefore, neural representations are as real as neurons, action potentials, or any other well-established entities in our ontology.

We study the computational complexity of polyadic quantifiers in natural language. This type of quantification is widely used in formal semantics to model the meaning of multi-quantifier sentences. First, we show that the standard constructions that turn simple determiners into complex quantifiers, namely Boolean operations, iteration, cumulation, and resumption, are tractable. Then, we provide an insight into branching operation yielding intractable natural language multi-quantifier expressions. Next, we focus on a linguistic case study. We use computational complexity results to investigate semantic (...) distinctions between quantified reciprocal sentences. We show a computational dichotomy<br>between different readings of reciprocity. Finally, we go more into philosophical speculation on meaning, ambiguity and computational complexity. In particular, we investigate a possibility to<br>revise the Strong Meaning Hypothesis with complexity aspects to better account for meaning shifts in the domain of multi-quantifier sentences. The paper not only contributes to the field of the formal<br>semantics but also illustrates how the tools of computational complexity theory might be successfully used in linguistics and philosophy with an eye towards cognitive science. (shrink)

Yablo gives us an account of subject-matter - a characterization of what declarative sentences are about. I argue that this account can be seen as a way of adjusting Frege’s theory of meaning, so as it no longer carries the implausible commitment that declarative sentences refer to their truth-values. I also point out that Yablo’s approach faces an unpleasant choice: give up a uniform compositional semantics for interrogative sentences or abandon the idea that ordinary characterizations of subject matter are literally (...) and unambiguously true. (shrink)

A detailed chronology is offered for the writing of Frege's central philosophical essays from the early 1890s. Particular attention is given to (the distinction between) Sinn and Bedeutung. Suggestions are made as to the origin of the examples concerning the Morning Star/Evening Star and August Bebel's views on the return of Alsace-Lorraine. Likely sources are offered for Frege's use of the terms Bestimmungsweise, Art des Gegebenseins and Sinn und Bedeutung.

Recently, a number of epistemologists have argued that there are no non-conceptual elements in representational content. On their view, the only sort of non-conceptual elements are components of sub-personal organic hardware that, because they enjoy no veridical role, must be construed epistemologically irrelevant. By reviewing a 35-year-old debate initiated by Dagfinn F.

The prime purpose of this paper is, first, to restore to discourse-bound occasion sentences their rightful central place in semantics and secondly, taking these as the basic propositional elements in the logical analysis of language, to contribute to the development of an adequate logic of occasion sentences and a mathematical foundation for such a logic, thus preparing the ground for more adequate semantic, logical and mathematical foundations of the study of natural language. Some of the insights elaborated in this paper (...) have appeared in the literature over the past thirty years, and a number of new developments have resulted from them. The present paper aims atproviding an integrated conceptual basis for this new development in semantics. In Section 1 it is argued that the reduction by translation of occasion sentences to eternal sentences, as proposed by Russell and Quine, is semantically and thus logically inadequate. Natural language is a system of occasion sentences, eternal sentences being merely boundary cases. The logic hasfewer tasks than is standardly assumed, as it excludes semantic calculi, which depend crucially on information supplied by cognition and context and thus belong to cognitive psychology rather than to logic. For sentences to express a proposition and thus be interpretable and informative, they must first be properly anchored in context. A proposition has a truth value when it is, moreover, properly keyed in the world, i.e. is about a situation in the world. Section 2 deals with the logical properties of natural language. It argues that presuppositional phenomena require trivalence and presents the trivalent logic PPC3, with two kinds of falsity and two negations. It introduces the notion of -space for a sentence A as the basis of logical model theory, and the notion of P A /, functioning as a `private' subuniverse for A/A. The trivalent Kleene calculus is reinterpreted as a logical account of vagueness, rather than of presupposition. PPC3 and the Kleene calculus are refinements of standard bivalent logic and can be combined into one logical system. In Section 3 the adequacy of PPC3 as a truth-functional model of presupposition is considered more closely and given a Boolean foundation. In a noncompositional extended Boolean algebra, three operators are defined: 1a for the conjoined presuppositions of a, ã for the complement of a within 1a, and â for the complement of 1a within Boolean 1. The logical properties of this extended Boolean algebra are axiomatically defined and proved for all possible models. Proofs are provided of the consistency and the completeness of the system. Section 4 is a provisional exploration of the possibility of using the results obtained for a new discourse-dependent account of the logic of modalities in natural language. The overall result is a modified and refined logical and model-theoretic machinery, which takes into account both the discourse-dependency of natural language sentences and the necessity of selecting a key in the world before a truth value can be assigned. (shrink)

Contrary to received opinion, the Aristotelian Square of Opposition (square) is logically sound, differing from standard modern predicate logic (SMPL) only in that it restricts the universe U of cognitively constructible situations by banning null predicates, making it less unnatural than SMPL. U-restriction strengthens the logic without making it unsound. It also invites a cognitive approach to logic. Humans are endowed with a cognitive predicate logic (CPL), which checks the process of cognitive modelling (world construal) for consistency. The square is (...) considered a first approximation to CPL, with a cognitive set-theoretic semantics. Not being cognitively real, the null set Ø is eliminated from the semantics of CPL. Still rudimentary in Aristotle’s On Interpretation (Int), the square was implicitly completed in his Prior Analytics (PrAn), thereby introducing U-restriction. Abelard’s reconstruction of the logic of Int is logically and historically correct; the loca (Leaking O-Corner Analysis) interpretation of the square, defended by some modern logicians, is logically faulty and historically untenable. Generally, U-restriction, not redefining the universal quantifier, as in Abelard and loca, is the correct path to a reconstruction of CPL. Valuation Space modelling is used to compute the effects of U-restriction. (shrink)

This paper proposes an outline for a typology of the different forms that scientific objects can take in the life sciences. The first section discusses preparations (or specimens)—a form of scientific object that accompanied the development of modern biology in different guises from the seventeenth century to the present: as anatomical–morphological specimens, as microscopic cuts, and as biochemical preparations. In the second section, the characteristics of models in biology are discussed. They became prominent from the end of the nineteenth century (...) onwards. Some remarks on the role of simulations—characterising the life sciences of the turn from the twentieth to the twenty-first century—conclude the paper. -/- . (shrink)

In this paper I discuss Frege's distinction between objects and concepts and suggest a solution of Frege's paradox of the concept horse. The expression ''the concept horse'' is not eliminated and the concept is not identified with its extension, but the concept is identified with the sense of the corresponding predicate. This solution fits better into a fregean ontology and philosophy of language than alternative solutions and allows for a general answer to the question why Frege's system is infected with (...) Russell's paradox. Russell's paradox is caused by the reification of a concept. Certain problems of modern set theory seem to have a similar cause.Eine weithin sichtbare Warnungstafel muss aufgerichtet. (shrink)

This article presents an historical and conceptual overview on different approaches to logical abstraction. Two main trends concerning abstraction in the history of logic are highlighted, starting from the logical notions of concept and function. This analysis strictly relates to the philosophical discussion on the nature of abstract objects. I develop this issue further with respect to the procedure of abstraction involved by (typed) λ-systems, focusing on the crucial change about meaning and predicability. In particular, the analysis of the nature (...) of logical types in the context of Constructive Type Theory allows elucidation of the role of the previously introduced notions. Finally, the connection to the analysis of abstraction in computer science is drawn, and the methodological contribution provided by the notion of information is considered, showing its conceptual and technical relevance. Future research shall focus on the notion of information in distributed systems, analysing the paradigm of information hiding in dependent type theories. (shrink)

There are two dominant approaches to quantification: the Fregean and the Tarskian. While the Tarskian approach is standard and familiar, deep conceptual objections have been pressed against its employment of variables as genuine syntactic and semantic units. Because they do not explicitly rely on variables, Fregean approaches are held to avoid these worries. The apparent result is that the Fregean can deliver something that the Tarskian is unable to, namely a compositional semantic treatment of quantification centered on truth and reference. (...) We argue that the Fregean approach faces the same choice: abandon compositionality or abandon the centrality of truth and reference to semantic theory. Indeed, we argue that developing a fully compositional semantics in the tradition of Frege leads to a typographic variant of the most radical of Tarskian views: variabilism, the view that names should be modeled as Tarskian variables. We conclude with the consequences of this result for Frege's distinction between sense and reference. (shrink)

The idea underlying the Begriffsschrift account of identities was that the content of a sentence is a function of the things it is about. If so, then if an identity a=b is about the content of its contained terms and is true, then a=a and a=b have the same content. But they do not have the same content; so, Frege concluded, identities are not about the contents of their contained terms. The way Frege regarded the matter is that in an (...) identity the terms flanking the symbol for identity do not have their ordinary contents, but instead have themselves as their contents. In ?Uber Sinn und Bedeutung? Frege became convinced that if an identity a=bis about the signs aand b, then it expresses no proper knowledge. So, since it is evident that many such identities do express proper knowledge, Frege concluded that identities are not about their contained signs. So he became convinced that his Begriffsschrift account was incorrect. What was the error in the argument that led Frege to that account? It was thinking that the content of a sentence is a function of the contents of its constituent signs, that is, the things it is about. (shrink)

A dilemma has stymied interpretations of the Stranger’s method of dividing kinds into subkinds in Plato’sSophistandStatesman. The dilemma assumes that the kinds are either extensions or intensions. Now kinds divide like extensions, not intensions. But extensions cannot explain the distinct identities of kinds that possess the very same members. We propose understanding a kind as like an animal body—the Stranger’s simile for division—possessing both an extension and an intension. We find textual support in the Stranger’s paradigmatic four steps for collecting (...) a subkind. (shrink)

Considerable attention has been given to the accessibility of legal documents, such as legislation and case law, both in legal information retrieval (query formulation, search algorithms), in legal information dissemination practice (numerous examples of on-line access to formal sources of law), and in legal knowledge-based systems (by translating the contents of those documents to ready-to-use rule and case-based systems). However, within AI & law, it has hardly ever been tried to make the contents of sources of law, and the relations (...) among them, more accessible to those without a legal education. This article presents a theory about translating sources of law into information accessible to persons without a legal education. It illustrates the theory by providing two elaborated examples of such translation ventures. In the first example, formal sources of law in the domain of exchanging police information are translated into rules of thumb useful for policemen. In the second example, the goal of providing non-legal professionals with insight into legislative procedures is translated into a framework for making available sources of law through an integrated legislative calendar. Although the theory itself does not support automating the several stages described, in this article some hints are given as to what such automation would have to look like. (shrink)

Richard Heck, Jr has recently argued against Russellianism about proper names not in the usual way—by appeal to “intuitions” about the truth conditions of “that”-clause belief ascriptions—but by appeal to our need to specify beliefs in a way that reflects their individuation. Since beliefs are individuated by their psychological roles and not their Russellian contents, he argues, Russellianism is precluded in principle from accounting for our ability to specify beliefs in ordinary language. I argue that Heck thus makes things easier (...) for the Russellian. For by framing the issue as one concerning the specificatory powers of ordinary language in general, rather than just of “that”-clause ascriptions, Heck weakens the implications of any claim about the semantics of that one type of belief-specifying locution. I augment this diagnosis with a positive account of the specificatory usefulness, and attested commonness, of (partly or wholly) quotational belief ascriptions, e.g. “Lois believes that ‘Superman’ is at the meeting.” This proposal is not of the usual sort concerning such locutions since it does not involve the (dubious) claim that they are in some way equivalent to “that”-clause ascriptions. (shrink)

The following well-known problem motivated my handling more general problems. As we surely know, our pupils and even students are confronted with much more trouble when learning mathematics (and even physics) than when they learn ‘empirical’ sciences like biology, mineralogy etc. There are many factors that can at least partially explain this phenomenon. I would however mention one factor that is not too frequently adduced: mathematics, logic, and much of physics use concepts that are abstract while the empirical sciences seem (...) to support understanding by using expressions concerning (denoting? expressing?) concrete objects. Therefore the first topic to be explained (or explicated) is: Abstract vs. concrete. The second point will consist of applying the first point to explanation of the trouble with learning mathematics. The third point will ask Logical Analysis of Natural Language how to tell abstract expressions from concrete ones. The fourth point will confront the concept described in the foregoing point with conceptions trying to abandon the distinction between analytic and empirical expressions. Here it will be shown that the empiricism representing this latter conception deprives semantics as applied to Natural language of important features of expressivity. (shrink)

. David Chalmerss version of two-dimensional semantics is an attempt at setting up a unified semantic framework that would vindicate both the Fregean and the Kripkean semantic intuitions. I claim that there are three acceptable ways of carrying out such a project, and that Chalmerss theory does not coherently fit any of the three patterns. I suggest that the theory may be seen as pointing to the possibility of a double reading for many linguistic expressions (a double reading which, however, (...) is not easily identified with straightforward semantic ambiguity). (shrink)

Kripke’s Fregean quantification logic FQ fails to formalize the usual first-order logic with identity due to the interpretation of the conditional operator. Motivated by Kripke’s syntax and semantics, the three-valued Fregean quantification logic FQ3 is proposed. This three valued logic differs from Kleene and Łukasiewicz’s three-valued logics. The logic FQ3 is decidable. A sound and complete Hilbert-style axiomatic system for the logic FQ3 is presented.