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Grundgesetze der Arithmetik. Section 56ff
In Peter Geach & Max Black,Translations From the Philosophical Writings of Gottlob Frege. Philosophical Library (1952)
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Frege's theory of indirect contexts and the shift of sense and reference in these contexts has puzzled many. What can the hierarchy of indirect senses, doubly indirect senses, and so on, be? Donald Davidson gave a well-known 'unlearnability' argument against Frege's theory. The present paper argues that the key to Frege's theory lies in the fact that whenever a reference is specified (even though many senses determine a single reference), it is specified in a particular way, so that giving a (...) reference implies giving a sense; and that one must be 'acquainted' with the sense. It is argued that an indirect sense must be 'immediately revelatory' of its reference. General principles for Frege's doctrine of sense and reference are sated, for both direct and indirect quotation, to be understood iteratively. I also discuss Frege's doctrine of tensed and first person statements in the light of my analysis. The views of various other authors are examined. The conclusion is to ascribe to Frege an implicit doctrine of acquaintance similar to that of Russell. (shrink) | |
Given the plethora of competing logical theories of validity available, it’s understandable that there has been a marked increase in interest in logical epistemology within the literature. If we are to choose between these logical theories, we require a good understanding of the suitable criteria we ought to judge according to. However, so far there’s been a lack of appreciation of how logical practice could support an epistemology of logic. This paper aims to correct that error, by arguing for a (...) practice-based approach to logical epistemology. By looking at the types of evidence logicians actually appeal to in attempting to support their theories, we can provide a more detailed and realistic picture of logical epistemology. To demonstrate the fruitfulness of a practice-based approach, we look to a particular case of logical argumentation—the dialetheist’s arguments based upon the self-referential paradoxes—and show that the evidence appealed to support a particular theory of logical epistemology, logical abductivism. (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) | |
At least since [Frege, 1960] and [Geach, 1965], there has been some consensus about the relation between negation, the speech act of denial, and the attitude of rejection: a denial, the consensus has had it, is the assertion of a negation, and a rejection is a belief in a negation. Recently, though, there have been notable deviations from this orthodox view. Rejectivists have maintained that negation is to be explained in terms of denial or rejection, rather than vice versa. Some (...) other theorists have maintained that negation is a separate phenomenon from denial, and that neither is to be explained in terms of the other. In this paper, I present and consider these heterodox theories of the relation between negation, denial, and rejection. (shrink) | |
ABSTRACT Our ascriptions of content to past utterances assign to them a level of conceptual continuity and determinacy that extends beyond what could be grounded in the usage up to their time of utterance. If one accepts such ascriptions, one can argue either that future use must be added to the grounding base, or that such cases show that meaning is not, ultimately, grounded in use. The following will defend the first option as the more promising of the two, though (...) this ultimately requires understanding the relation between use and meaning as ‘normative’ in two important ways. The first way is that the function from use to meaning must be of a sort that allows us to maintain a robust distinction between actual and correct use. The second sort of normativity is unique to theories that extend the grounding base into the future. In particular, if meaning is partially a function of future use, we can see our commitment to the ‘determinacy’ of meaning as a practical commitment that structures our linguistic practices rather than a theoretical commitment that merely describes them. (shrink) No categories | |
Neologicists have sought to ground mathematical knowledge in abstraction. One especially obstinate problem for this account is the bad company problem. The leading neologicist strategy for resolving this problem is to attempt to sift the good abstraction principles from the bad. This response faces a dilemma: the system of ‘good’ abstraction principles either falls foul of the Scylla of inconsistency or the Charybdis of being unable to recover a modest portion of Zermelo–Fraenkel set theory with its intended generality. This article (...) argues that the bad company problem is due to the ‘static’ character of abstraction on the neologicist's account and develops a ‘dynamic’ account of abstraction that avoids both horns of the dilemma. 1 Introduction2ion Reconstructed3 From Bad to Worse4 Abstraction Reconceived5 Bad Company Made GoodA AppendixA.1SemanticsA.2LogicA.3ConsistencyA.4Strength. (shrink) | |
This paper sets out a new framework for discussing a long-standing problem in the philosophy of mathematics, namely the connection between the physical world and a mathematical domain when the mathematics is applied in science. I argue that considering counterfactual situations raises some interesting challenges for some approaches to applications, and consider an approach that avoids these challenges. | |
Whether one is reading Wittgenstein's Tractatus or his later writings, one must be struck by his insistence that he is not putting forward philosophical doctrines or theses; or by his suggestion that it cannot be done, that it is only through some confusion one is in about what one is doing that one could take oneself to be putting forward philosophical doctrines or theses at all. I think that there is almost nothing in Wittgenstein which is of value and which (...) can be grasped if it is pulled away from that view of philosophy. But that view of philosophy is itself something that has to be seen first in the Tractatus if it is to be understood in its later forms, and in the Tractatus it is inseparable from what is central there, the distinction between what can be said and what can only be shown. (shrink) No categories | |
Building on Wittgenstein’s ideas, I defend a brand of pluralism that associates words with conceptual families and appeals to this notion in the course of philosophical problem solving. I argue that certain problems that the received view of conceptual engineering (‘improvement by replacement’) faces can be more easily overcome if we adopt a pluralist perspective. I show that the proposed approach can circumvent the problem of topic discontinuity, whilst also avoiding the threat of trivialisation, since it can easily accommodate both (...) coarse-grained and fine-grained topics. Finally, I argue that my variant of pluralism is compatible with de novo conceptual engineering insofar as it allows that the paradigm associated with a word may shift overtime thus creating an opportunity for new candidate members to join a conceptual family. (shrink) No categories | |
Many scholars are ready to accept that first person thought involves a special way w such that, for any thinker x, only x can access the first person way w of thinking about x. Standard articulations of this Frege-inspired view involve a rejection of the strict shareability of first person thought. I argue that this rejection eventually forces us to renounce an intuitively plausible characterisation of communication, and specifically, disagreement. This result invites us to explore alternative articulations which, still within (...) an overall Fregean framework, may better explain how first person thoughts reach out into a public, shareable dimension. Here I shape this possibility in terms of perspectives, i.e. ways of thinking that do not individuate concepts or thoughts. Perspectives, I submit, can serve to unproblematically accommodate basic disagreement in indexical cases and to outline the dynamic character of first person thought. (shrink) No categories | |
Philosophers of mathematics agree that the only interpretation of arithmetic that takes that discourse at 'face value' is one on which the expressions 'N', '0', '1', '+', and 'x' are treated as proper names. I argue that the interpretation on which these expressions are treated as akin to free variables has an equal claim to be the default interpretation of arithmetic. I show that no purely syntactic test can distinguish proper names from free variables, and I observe that any semantic (...) test that can must beg the question. I draw the same conclusion concerning areas of mathematics beyond arithmetic. This paper is a greatly extended version of my response to Stewart Shapiro's paper in the conference 'Structuralism in physics and mathematics' held in Bristol on 2–3 December, 2006. (shrink) | |
Can someone who suspends judgement about a certain proposition <p> be in a relational state of disagreement with someone who believes <p> as well as with some- one who disbelieves <p>? This paper argues for an af- firmative answer. It develops an account of the notions of suspended judgement and disagreement that explains how and why the suspender is in a relational state of disagreement with both the believer and the disbeliever about the very same proposition <p>. More specifically, the (...) paper first provides a characterisation of the norma- tive profile associated with the state of suspended judge- ment in terms of the set of normative commitments that it engenders in the context of inquiry. It then provides a characterisation of the notion of disagreement in terms the incompatibility between the sets of normative com- mitments characteristic of the three states in question— belief, disbelief, and suspension. (shrink) | |
This paper has three aims. First, I aim to stress the importance of the issue of the dispositional/categorical distinction in the light of the evident failure of the traditional formulation, which is in terms of conditional entailment. Second, I consider one radical new alternative on offer from Ullin Place: intentionality as the mark of the dispositional. I explain the appeal of physical intentionality, but show it ultimately to be unacceptable. Finally, I suggest what would be a better theory. If we (...) take disposition ascriptions to be functional characterizations of properties, then we can explain all that was appealing about the new alternative without the unacceptable consequences. (shrink) | |
In this paper I present and assess a controversy between Edmund Husserl and Heinrich Rickert on the nature of judgment, in order to bring to light the originality of Husserl's proposal concerning this important issue. In the first section I provide some context for Rickert's theory of judgment by sketching a reconstruction of nineteenth century logical theory and then proceed to introduce Rickert's view. I suggest that nineteenth century logic is characterized by a criticism of the traditional view that sees (...) categorial judgment as the essential form of judgment and the uniting and separating of ideas as sufficient for the constitution of a judgment. Hume inaugurates this criticism, but it finds its most mature expression in the work of Lotze, Brentano, and Rickert. Rickert, in particular, sees simple affirmation and negation of the transcendent value of truth as the essence of judgment. In the second section I present Husserl's criticism of Rickert. Husserl's criticism revolves around the distinction between simple judgments and the higher-order affirmative or negative stance we can adopt with respect to previously articulated simple judgments. Simple judgments register the mereological relation holding among something and one of its properties, and they do not entail an affirmative or negative stance. Their function is to constitute states of affairs drawing on concrete perceptual situations. Higher-order affirmation or negation occurs when we set out to revisit a foregoing simple judgment in order to confirm or disconfirm the veridicality of its proposed state of affairs. In the third part I suggest a diagnosis of the origin of the mistake in earlier theories. Simple judgments are easy to conflate with non-simple, higher-order judgmental stances because they have the same logical value and they cannot be seen without the aid of genuinely phenomenological reflection. In conclusion, I suggest that Husserl's analysis amounts to a vindication of categorial judgment in its traditional form ‘S is P’, which continues to maintain a phenomenological legitimacy even in the wake of Frege's canonical dismissal of subject and predicate. (shrink) | |
Set theory is an autonomous and sophisticated field of mathematics, enormously successful not only at its continuing development of its historical heritage but also at analyzing mathematical propositions cast in set-theoretic terms and gauging their consistency strength. But set theory is also distinguished by having begun intertwined with pronounced metaphysical attitudes, and these have even been regarded as crucial by some of its great developers. This has encouraged the exaggeration of crises in foundations and of metaphysical doctrines in general. However, (...) set theory has proceeded in the opposite direction, from a web of intensions to a theory of extensionpar excellence, and like other fields of mathematics its vitality and progress have depended on a steadily growing core of mathematical structures and methods, problems and results. There is also the stronger contention that from the beginning set theory actually developed through a progression ofmathematicalmoves, whatever and sometimes in spite of what has been claimed on its behalf.What follows is an account of the development of set theory from its beginnings through the creation of forcing based on these contentions, with an avowedly Whiggish emphasis on the heritage that has been retained and developed by current set theory. The whole transfinite landscape can be viewed as the result of Cantor's attempt to articulate and solve the Continuum Problem. (shrink) | |
For the modern set theorist the empty set Ø, the singleton {a}, and the ordered pair 〈x, y〉 are at the beginning of the systematic, axiomatic development of set theory, both as a field of mathematics and as a unifying framework for ongoing mathematics. These notions are the simplest building locks in the abstract, generative conception of sets advanced by the initial axiomatization of Ernst Zermelo [1908a] and are quickly assimilated long before the complexities of Power Set, Replacement, and Choice (...) are broached in the formal elaboration of the ‘set of’f {} operation. So it is surprising that, while these notions are unproblematic today, they were once sources of considerable concern and confusion among leading pioneers of mathematical logic like Frege, Russell, Dedekind, and Peano. In the development of modern mathematical logic out of the turbulence of 19th century logic, the emergence of the empty set, the singleton, and the ordered pair as clear and elementary set-theoretic concepts serves as amotif that reflects and illuminates larger and more significant developments in mathematical logic: the shift from the intensional to the extensional viewpoint, the development of type distinctions, the logical vs. the iterative conception of set, and the emergence of various concepts and principles as distinctively set-theoretic rather than purely logical. Here there is a loose analogy with Tarski's recursive definition of truth for formal languages: The mathematical interest lies mainly in the procedure of recursion and the attendant formal semantics in model theory, whereas the philosophical interest lies mainly in the basis of the recursion, truth and meaning at the level of basic predication. Circling back to the beginning, we shall see how central the empty set, the singleton, and the ordered pair were, after all. (shrink) | |
Abstract: Chomsky (1986) has claimed that the prima facie incompatibility between descriptive linguistics and semantic externalism proves that an externalist semantics is impossible. Although it is true that a strong form of externalism does not cohere with descriptive linguistics, sociolinguistic theory can unify the two approaches. The resulting two-level theory reconciles descriptivism, mentalism, and externalism by construing community languages as a function of social identification. This approach allows a fresh look at names and definite descriptions while also responding to Chomsky's (...) (1993, 1995) challenge to articulate an externalist theory of meaning that can be used in the scientific investigation of language. (shrink) | |
In this paper, I offer a pluralistic framework for disagreement and I develop a strategy to account for the varieties of disagreement on the basis of the varieties of the truth across different domains of discourse. Truth-pluralism is thus sufficient for delivering pluralism about disagreement—that is, diaphonic pluralism. | |
In section 10 of Grundgesetze, Frege confronts an indeterm inacy left by his stipulations regarding his ‘smooth breathing’, from which names of valueranges are formed. Though there has been much discussion of his arguments, it remains unclear what this indeterminacy is; why it bothers Frege; and how he proposes to respond to it. The present paper attempts to answer these questions by reading section 10 as preparatory for the (fallacious) proof, given in section 31, that every expression of Frege's formal (...) language denotes. (shrink) | |
Set theory, it has been contended, developed from its beginnings through a progression ofmathematicalmoves, despite being intertwined with pronounced metaphysical attitudes and exaggerated foundational claims that have been held on its behalf. In this paper, the seminal results of set theory are woven together in terms of a unifying mathematical motif, one whose transmutations serve to illuminate the historical development of the subject. The motif is foreshadowed in Cantor's diagonal proof, and emerges in the interstices of the inclusion vs. membership (...) distinction, a distinction only clarified at the turn of this century, remarkable though this may seem. Russell runs with this distinction, but is quickly caught on the horns of his well-known paradox, an early expression of our motif. The motif becomes fully manifest through the study of functionsof the power set of a set into the set in the fundamental work of Zermelo on set theory. His first proof in 1904 of his Well-Ordering Theoremis a central articulation containing much of what would become familiar in the subsequent development of set theory. Afterwards, the motif is cast by Kuratowski as a fixed point theorem, one subsequently abstracted to partial orders by Bourbaki in connection with Zorn's Lemma. Migrating beyond set theory, that generalization becomes cited as the strongest of fixed point theorems useful in computer science.Section 1 describes the emergence of our guiding motif as a line of development from Cantor's diagonal proof to Russell's Paradox, fueled by the clarification of the inclusion vs. membership distinction. Section 2 engages the motif as fully participating in Zermelo's work on the Well-Ordering Theorem and as newly informing on Cantor's basic result that there is no bijection. Then Section 3 describes in connection with Zorn's Lemma the transformation of the motif into an abstract fixed point theorem, one accorded significance in computer science. (shrink) | |
We suggest a common ground for alternative proposals In different domains of cognitive science which have previously seemed to have little in common. The underlying common theme is associated with a redefinition of the basic unit of analysis in each domain of thought. Our framework suggests a definition of unity which is based not on inherent properties of the elements constituting the unit, but rather on dynamic patterns of correlation across the elements. We introduce a set of features that characterize (...) the new dynamic units, and distinguish them from traditional units of analysis. A conceptual connection is made with the identification of elementary units in modern physics theories, as well as with concepts and structures in the study of complex dynamical systems and connectionism. The paper analyses the evolution of the concept of unit in different domains of thought in cognitive science, and examines the proposed framework of “dynamic unity” with regard to various theoretical problems within each domain. The particular cognitive science issues discussed in the paper include: (1) the binding problem in the brain; (2) the mental unit of conceptual organization; (3) defining ‘wordhood’ in linguistics; and (4) identifying the unit of cognition in the natural environment. (shrink) No categories | |
A review essay on Peacocke's book A Study of Concepts. Raises questions about the role of the concept of finding an inference primitively compelling and questions of detail about the basic framework, its application to the systematicity of thought, the response to potential objections in the chapters on the metaphysics of concepts and naturalism, and the treatment of the concept of belief. | |
Some formal ontological relations are identified, in the context of an account of ontological categorization. It is argued that neither formal ontological relations nor ontological categories should themselves be regarded as elements of being, but that this does not undermine the claim of formal ontology to be a purely objective science. It is also argued that some formal ontological relations, like some ontological categories, are more basic than others. A four‐category ontology is proposed, in which two basic categories of universals (...) and two basic categories of particulars are distinguished in terms of certain formal ontological relations characteristically obtaining between entities belonging to the different categories. (shrink) | |
The identity conception of truth holds that a thinkable is true just in case it is a fact. As such, it sets itself against correspondence theories of truth, while respecting the substantive role played by truth in respect of enquiry. In this article, I motivate and develop that view, and, in so doing, promote a particular conception of sense. This allows me to defend the view from two substantial criticisms. First, that the identity conception of truth is incoherent in respect (...) of its treatment of objects in the realm of reference, and, second, that it is committed to a view of the world in which ordinary objects have no place. (shrink) No categories | |
This paper is a defense of the view that existence is a property. Since the view is still a minority one, a fair amount of space is allotted to defending it against objections and counter-arguments. Positive arguments aren’t lacking, however, and emerge in the course of the discussion. Not all of the many positive or negative arguments which follow are wholly original—a fact to be expected in this context—but a fair number are, and both sorts of argument are seamlessly interwoven (...) in the warp and woof of what follows. (shrink) No categories | |
In this article I present a summary of Bertrand Russell's protracted attempts to solve the problem of the unity of the proposition, and explain the significance of the problem for Russell's philosophy. Unlike many other accounts which take the problem to be confined to Russell's early theories of propositional content, I argue that the problem (or variants of it) is a recurring theme throughout the whole of Russell's career. | |
This article surveys the state of the literature in English‐language scholarship on Heidegger's early work (1919–29). The survey falls into roughly two halves. The first is devoted to scholarship on Heidegger's intellectual development during the 1920s, focusing on four themes: Heidegger's relationship to Husserl; Heidegger's early phenomenology of religious life; Heidegger's appropriation of Aristotle; and Heidegger's retrieval of Kant's First Critique. The second half focuses on work on the early Heidegger that has arisen out of the reception of his early (...) thought into mainstream Anglophone philosophy. It examines Hubert Dreyfus's interpretation of Heidegger, the status of “das Man” and social normativity, Heidegger's concept of death, Heidegger's conception of authenticity, and truth (with a very brief overview of further topics). (shrink) No categories | |
This article proposes a locative function as a defining feature of situated art. All artworks orient their beholders, but situated art is characterized by this context-sensitive orientation entering the work’s content. In so doing, it facilitates ‘here’- and ‘now’-thoughts, not only towards the “real” situation encountered (the work’s outer orientation) but to the work’s “virtual” or “bracketed” realm (its inner orientation). These orientations overlap, but do not necessarily align; indeed, situated works often construct a tension through a deliberate miscalibration of (...) these orientations. But what is the mechanism by which such works afford indexical thought towards their worlds? Drawing upon Gareth Evans’s account of demonstrative content, I contend that sensory imagination—conceived in Evans’s terms as an additional conceptual component—plays a necessary role in negotiating demonstrative thought towards two (or more) separate spaces conceived as “here.” This is something the beholder brings to the work. (shrink) | |
I will argue that the ontological doctrine of physicalism inevitably entails the denial that there is anything conceptual in logic and mathematics. The elements of a formal system, even if they are tagged by suggestive names, are merely meaningless parts of a physically existing machinery, which have nothing to do with concepts, because they have nothing to do with the actual things. The only situation in which they can become meaning-carriers is when they are involved in a physical theory. But (...) in this role they refer to elements of the physical reality, i.e. they represent a physical concept. “Mathematical concepts” are just idols, that philosophy can completely deny and physics can completely ignore. (shrink) No categories | |
There are two dominant contradictory approaches towards understanding the nature of language: one, the epistemological approach; two, the ontological approach. The epistemological approach understands language as a mere tool and denies the close relationship between a word and the actual thing for which that word stands. The ontological approach, on the other hand, understands language as the disclosure of world experience and professes a close relationship between a word and the thing it signifies. However, this approach opposes the epistemological approach (...) towards the understanding of language. In this article, we propose that Hegel, in his Phenomenology of Spirit, depicts an interesting relationship between language and spirit which points towards the consistency between the two contradictory approaches towards the nature of language. For Hegel, language not only plays a role in spirit’s pursuit of self-knowledge which signifies the epistemological approach, but also in spirit’s existence which signifies the ontological approach. Thus, in Hegel’s Phenomenology of Spirit, the epistemological approach and the ontological approach towards the nature of language coexist. In this article, by turning to Hegel’s Phenomenology of Spirit and through an analysis of the relationship between language and spirit, we not only attempt to seek some resolution to the epistemology-ontology contradiction, but we also reveal the homogeneity of language and spirit, which we take as the true nature of language in Hegel’s philosophy. (shrink) | |
Statements of identity with a plural subject, of the form ‘They are the same person,’ as illustrated in each of the answers to the above two questions, give rise to a philosophical problem. | |
Dans la première partie de cet article, je presente une thèse parapluie — la thèse de l'«exhaustion» — qui cerne bien l'élément central des diverses positions déflationnistes au sujet de la vérité : l'idée que le contenu du prédicat de vérité s'épuise entièrement dans le contenu de ce à quoi le prédicats'applique. Je soutiens que cette thèse n'est supportée que d'une manière triviale par l'idée courante que la vérite résiste à une analyse substantielle, car les prédicats en général ne se (...) prêtent guere à ce genre d'analyse. J'examine ensuite deux élaborations positives de la thèse de l'exhaustion; et je soutiens que ni l'une ni l'autre ne commence même à montrer que la thèse en question soit explicativement adéquate. (shrink) No categories | |
Peter Geach frequently showed the relevance of some of Frege's insights to contemporary philosophical debates, such as that which Geach called “the Frege Point” – “a proposition may occur in discourse now asserted, now unasserted, and yet be recognizably the same proposition”. Geach argued against a variety of “expressivist” accounts of certain propositions that their proponents could not explain the significance of such propositions in subordinate clauses. The paper extends Geach's argument to show that “the Frege Point” presents a powerful (...) challenge to any attempt, such as those influenced by the later Wittgenstein, to equate meaning with use. (shrink) | |
For Wittgenstein, as Cora Diamond interprets him in the essays collected in her recent The Realistic Spirit , there are no logical truths, and a host of other linguistic constructions, such as ‘A is an object’ are, contrary to appearances, nonsensical. In what follows, after outlining Diamond's account I argue that the position she ascribes to Wittgenstein is incoherent. I also reject some possible responses to this charge, among them an appeal to the distinction between what can be said and (...) what can only be shown. (shrink) | |
In this essay I set out to place Derrida's work – especially his earlier books and essays – in the context of related or contrasting developments in analytic philosophy of science over the past half-century. Along the way I challenge the various misconceptions that have grown up around that work, not only amongst its routine detractors in the analytic camp but also amongst some of its less philosophically informed disciples. In particular I focus on the interlinked issues of realism versus (...) anti-realism and the scope and limits of classical logic, both of which receive a detailed, rigorous and sustained treatment in his deconstructive readings of Husserl, Austin and others. Contrary to Derrida's reputation as a exponent of anti-realism in its far-gone ‘textualist’ form and as one who merely plays perverse though ingenious games with logic I show that those readings presuppose both a basically realist conception of their subject-matter and a strong commitment to the protocols of bivalent logic. These he applies with the utmost care and precision right up to the point – unreachable except by way of that procedure – where they encounter certain problems or anomalies that cannot be resolved except by switching to a different logic. Philosophy of science in the analytic mainstream might benefit greatly from a closer acquaintance with Derrida's thinking on these topics, as it might from a knowledge of his likewise rigorous thinking-through of the antinomy between structure and genesis as it bears upon issues in the history of scientific thought. (shrink) No categories | |
This is a discussion of self-knowledge in Hugh of St. Victor. It will yield the following three systematic results. First, it will be shown that there is a clear sense in which human self-knowledge is knowledge of one’s own rationality, and therefore knowledge of the proper object of one’s rational capacities (dunameis meta logou). Second, a distinction will be drawn between perfect and imperfect self-knowledge. Third, it will turn out that under conditions of perfect self-knowledge, all our rational capacities would (...) work like our capacity for perceptual knowledge. (shrink) | |
How do we construct ad hoc concepts, especially those characterised by emergent properties? A reasonable hypothesis, suggested both in psychology and in pragmatics , is that some sort of inferential processing must be involved. I argue that this inferential processing can be accounted for in associative terms. My argument is based on the notion of inference as associative pattern completion based on schemata, with schemata being conceived in turn as patterns of concepts and their relationships. The possible role of conscious (...) attention in inferential processes of this sort is also addressed. (shrink) | |
Although Kripke’s œuvre has had a major impact on analytic philosophy and nearly every aspect of his studies has been thoroughly examined, this does not hold for his schmidentity argument, which, so far, has been widely neglected. To the extent to which it has been treated at all, it has been for the most part radically misunderstood. I hold that this argument, in its correctly reconstructed form, has general relevance for a treatment of Frege’s Puzzle and points towards a fundamental (...) methodological restriction for philosophy of language and especially for semantics, as far as informativity and the general topic of cognitive significance are concerned. To show this, I will briefly set out the context of the schmidentity argument and, in Sects. 2 and 4, sketch a reconstruction thereof, including some criticisms of the argument, and an excursion about Kit Fine’s semantic relationism, which stands in stark contrast to this paper’s central claim. Moreover, I will draw a genuinely new and probably quite unexpected conclusion from all the above, to finally give a glimpse at a bigger picture of where this conclusion should lead our thinking about a theoretical treatment of informativity and a linguistic expression’s cognitive value. (shrink) | |
Gareth Evans and John McDowell have challenged the traditional reading of Frege according to which Frege accepted propositions that are not object dependent, i.e., propositions that can exist even though the proper names that occur in the sentences that express them do not refer. A consequence of the Evans‐McDowell interpretation of Frege is that if someone hallucinates that there is an oasis in front of her, then there is no thought of an oasis but only an illusion of a thought. (...) No reference entails no sense, and no sense entails no thought.This paper will focus on Frege's views on the issue and, in particular, whether there is any evidence that the mature Frege, i.e., after he introduced the sense/reference distinction, did not accept propositions that are not object dependent. It will also address one of the consequences of the Evans‐McDowell reading of Frege, arguing that they have ignored one of his important insights into natural languages. (shrink) | |
For a very long time truth-value gaps were under a cloud of suspicion because they were considered logically unmanageable. So Frege declared that:“as regards concepts we have a requirement of sharp delimitation; if this were not satisfied it would be impossible to set forth logical laws about them”.Three-valued logic promised to dispel the cloud but in the eyes of many it had promised more than it could deliver. So in response to Reichenbach's plea for a three-valued quantum logic Russell replied:“This (...) is one of a number of questions as to which I am prevented from accepting a certain view by difficulties in carrying it out, but am prepared to alter my opinion if technical skill supplies an answer to my difficulties”.‘By now technical skill has supplied many alternative systems of three-valued logic, but few answers and numerous additional difficulties.’. (shrink) | |
In this article, I distinguish Wittgenstein's conception of the dissolution of philosophical problems from that of Carnap. I argue that the conception of dissolution assumed by the therapeutic interpretations of the Tractatus is more similar to Carnap's than to Wittgenstein's for whom dissolution involves spelling out an alternative in the context of which relevant problems do not arise. To clarify this I outline a non‐therapeutic resolute reading of the Tractatus that explains how Wittgenstein thought to be able to make a (...) positive contribution to logic and the philosophy thereof without putting forward any (ineffable) theses. This explains why there is no paradox in the Tractatus. (shrink) | |
A shorthand symbolism for the relational mapping of categories is introduced and developed on the basis of Nelson Goodman's structural methodology. Through a reconstruction of extensional isomorphism that Goodman introduces as a criterion for definitional accuracy, and a brief reminder of the argument structure behind his ‘new riddle of induction’, Goodman's radical ontological relativism is turned into a protological principle of what I call ‘domain constituting philosophy’. MSS is demonstrated with reference to Goodman's symbol theory, particularly his notion of exemplification, (...) as well as in a final structured comparison of Frege's ‘sense’ with Goodman's straightforward construction of ‘secondary extension’. (shrink) | |
Many arguments that show p to be enthymematic (in an argument for q) rely on claims like “if one did not believe that p, one would not have a reason for believing that q.” Such arguments are susceptible to the neg-raising fallacy. We tend to interpret claims like “X does not believe that p” as statements of disbelief (X's belief that not-p) rather than as statements of withholding the belief that p. This article argues that there is a tendency to (...) equivocate in arguments for the enthymematicity of arguments (e.g., Lewis Carroll's paradox, Hume's problem) as well as in arguments for the enthymematicity of action explanations (e.g., arguments for psychologism and for explanatory individualism). The article concludes with a warning, because the equivocation is often helpful in teaching and because neg-raising verbs include philosophically vital verbs: desire, want, intend, think, suppose, imagine, expect, feel, seem, appear. (shrink) | |
The unique relation between logic and truth is crucial for understanding Fregean conception of logic. Frege has an insight that the nature of logic resides in the “truth“, which he finally locates in the assertoric-force of a sentence. Though Frege admits that assertoric-force is ineffable in ordinary language, he coins in his conceptual notation for such a force a much-disputed sign, i.e., judgment-stroke. In this paper, I will try to demonstrate that judgment-stroke is not adequate for the task its inventor (...) has assigned to it. Accordingly, it is misconceived and inconducive to clarify Frege’s vague insight into the protorelation. The mistake of judgment-stroke for the sign of assertoric-force has its root in Frege’s ignorance of the significant difference between “judgment” and assertion”, which will be elucidated at length in the light of Husserl’s theory of “doxic-modification“. In the end, based on a further elucidation of the activity of assertion, I will advance a tentative interpretation of the vague insight Frege has concerning the protorelation. (shrink) |
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