Gottlob Frege's Grundgesetze der Arithmetik, or Basic Laws of Arithmetic, was intended to be his magnum opus, the book in which he would finally establish his logicist philosophy of arithmetic. But because of the disaster of Russell's Paradox, which undermined Frege's proofs, the more mathematical parts of the book have rarely been read. Richard G.

Contrairement à une croyance trop répandue, le darwinisme et son prolongement au XXe siècle — le néo-darwinisme — ne portent pas sur une idée de l'évolution fondée sur la simple notion de « la survie du plus apte ». Si la théorie de la sélection naturelle est partie intégrante du néo-darwinisme, plusieurs de ses fondateurs seront en quête d'une conception beaucoup plus généreuse, pleine et compréhensive de l'évolution. En réalité, la révolution dite darwinienne s'insère au coeur d'une révolution intellectuelle beaucoup (...) plus importante : la révolution transformiste. Avant d'être des darwiniens, de dignes représentants de cette mouvance s'afficheront comme étant des transformistes. Cela signifie que, en plus des mécanismes de l'évolution biologique, d'autres éléments tout aussi cruciaux seront pris en considération`, dans l'élaboration d'une véritable synthèse évolutionniste : les rapports entre l'évolution biologique et l'évolution cosmique ; les interrogations portant sur la question d'une possible direction évolutive ; l'enseignement à tirer pour l'homme de sa place et de son rôle dans la nature. A la croisée de l'histoire, de la philosophie et de la science, cet ouvrage cherche à démontrer, à travers l'analyse des travaux de plusieurs néo-darwiniens de premier plan, que la révolution darwinienne demeurera incomplète aussi longtemps que la révolution transformiste le restera. (shrink)

Hartry Field has suggested that we should adopt at least a methodological deflationism: "[W]e should assume full-fledged deflationism as a working hypothesis. That way, if full-fledged deflationism should turn out to be inadequate, we will at least have a clearer sense than we now have of just where it is that inflationist assumptions... are needed". I argue here that we do not need to be methodological deflationists. More precisely, I argue that we have no need for a disquotational truth-predicate; that (...) the word 'true', in ordinary language, is not a disquotational truth-predicate; and that it is not at all clear that it is even possible to introduce a disquotational truth-predicate into ordinary language. If so, then we have no clear sense how it is even possible to be a methodological deflationist. My goal here is not to convince a committed deflationist to abandon his or her position. My goal, rather, is to argue, contrary to what many seem to think, that reflection on the apparently trivial character of T-sentences should not incline us to deflationism. (shrink)

Jim Joyce has presented an argument for Probabilism based on considerations of epistemic utility [Joyce, 1998]. In a recent paper, I adapted this argument to give an argument for Probablism and the Principal Principle based on similar considerations [Pettigrew, 2012]. Joyce’s argument assumes that a credence in a true proposition is better the closer it is to maximal credence, whilst a credence in a false proposition is better the closer it is to minimal credence. By contrast, my argument in that (...) paper assumed (roughly) that a credence in a proposition is better the closer it is to the objective chance of that proposition. In this paper, I present an epistemic utility argument for Probabilism and the Principal Principle that retains Joyce’s assumption rather than the alternative I endorsed in the earlier paper. I argue that this results in a superior argument for these norms. (shrink)

In Mind and World, John McDowell argues against the view that perceptual representation is non-conceptual. The central worry is that this view cannot offer any reasonable account of how perception bears rationally upon belief. I argue that this worry, though sensible, can be met, if we are clear that perceptual representation is, though non-conceptual, still in some sense 'assertoric': Perception, like belief, represents things as being thus and so.

Using the case of an industrial accident involving a killer robot, the author successfully combines technical and ethical concepts to present to students and professionals real-life issues that they may one day have to confront.

This book prints for the first time two remarkable interlocking sequences of letters between Paris and the Netherlands: 40 letters from Gilles Ménage in Paris to Johann-Georg Grævius in Utrecht, and 30 from the printer Henrik Wetstein, in Amsterdam, to Ménage. Their principal focus is the publication of a considerable number of Ménage's works outside France, above all his monumental edition of Diogenes Laertius's Lives of the Philosophers. The letters give an engaging picture of mutual help within the community of (...) scholars, Dutch, German, English, and French, including Huguenot exiles like Le Clerc and Bayle. Ménage's are full of information from Paris; while Wetstein's, forthright and humorous, concentrate on publishing details in a sometimes stormy relationship. The great Diogenes edition encountered an extraordinary range of problems: difficulties at every stage of publication, hazardous wartime communications, and, not least, a bizarrely eccentric collaborator in Marcus Meibomius. The two correspondences provide a fascinating case-study of the practical working of international scholarly publishing in time of war, and the European network of learned correspondence in the later seventeenth century. Each letter is printed in full, accompanied by a summary, detailed commentary, and extensive annotations. (shrink)

Ethical decisions have to be made by everyone. Yet Christians often find it difficult to know exactly how they should make them. Is there a better way than an emotional response or looking for a quick answer from the Bible? In the first of the book a sixth-former, Matthew, takes moral issues as the topic of his RS project. He has interviews with various people, such as a businessman, a scientist, a police officer, and a doctor as well as with (...) members of his own family and his minister. These open his eyes to problems that he had not thought about before. In the second part the issues that have been raised are examined more systematically. (shrink)

THE PAPER EXAMINES WHAT IS MEANT BY ’EVIDENCE’ WHEN IT IS SAID THAT A THEORY IS PROBABLE ON CERTAIN EVIDENCE. IT CONSIDERS WHAT IS THE RELATION BETWEEN A THEORY BEING PROBABLE ON CERTAIN EVIDENCE, A THEORY BEING BELIEVED, AND A THEORY BEING CREDIBLE. IT DISTINGUISHES VARIOUS SENSES OF ’ACCEPT’ IN WHICH SCIENTISTS ARE SAID TO ACCEPT THEORIES, ONLY ONE OF WHICH IS THE SENSE OF ’ACCEPT’ IN WHICH IT IS EQUATED WITH ’BELIEVE’. IT ANALYSES THE LOGICAL RELATIONS BETWEEN A THEORY (...) BEING PROBABLE ON THE EVIDENCE, AND A THEORY BEING ACCEPTED, AND A THEORY BEING ACCEPTABLE, IN THE DIFFERENT SENSES OF ’ACCEPT’. (shrink)

A brief, non-technical introduction to technical and philosophical aspects of Frege's philosophy of arithmetic. The exposition focuses on Frege's Theorem, which states that the axioms of arithmetic are provable, in second-order logic, from a single non-logical axiom, "Hume's Principle", which itself is: The number of Fs is the same as the number of Gs if, and only if, the Fs and Gs are in one-one correspondence.

My purpose is to account for some oddities in what Kant did and did not say about "moral worth," and for another in what commentators tell us about his intent. The stone with which I hope to dispatch these several birds is-as one would expect a philosopher's stone to be-a distinction. I distinguish between two things Kant might have had in mind under the heading of moral worth. They come readily to mind when one both takes account of what he (...) actually said about it and notices a fact which he did not seem to notice: namely, that dutiful action- action which, whatever its motive, fulfills a duty-can be over- determined, and determined in particular by both respect for duty and some consortium of inclinations and prudenc. (shrink)

The book begins with an overview that introduces the Theorem and the issues surrounding it, and explores how the essays that follow contribute to our understanding of those issues.

In this exciting new collection, a distinguished international group of philosophers contribute new essays on central issues in philosophy of language and logic, in honor of Michael Dummett, one of the most influential philosophers of the late twentieth century. The essays are focused on areas particularly associated with Professor Dummett. Five are contributions to the philosophy of language, addressing in particular the nature of truth and meaning and the relation between language and thought. Two contributors discuss time, in particular the (...) reality of the past. The last four essays focus on Frege and the philosophy of mathematics. The volume represents some of the best work in contemporary analytical philosophy. (shrink)

Hartry Field has suggested that we should adopt at least a methodological deflationism: [W]e should assume full-fledged deflationism as a working hypothesis. That way, if full-fledged deflationism should turn out to be inadequate, we will at least have a clearer sense than we now have of just where it is that inflationist assumptions ... are needed. I argue here that we do not need to be methodological deflationists. More pre-cisely, I argue that we have no need for a disquotational truth-predicate; (...) that the word true, in ordinary language, is not a disquotational truth-predicate; and that it is not at all clear that it is even possible to introduce a disquotational truth-predicate into ordinary language. If so, then we have no clear sense how it is even possible to be a methodological deflationist. My goal here is not to convince a committed deflationist to abandon his or her position. My goal, rather, is to argue, contrary to what many seem to think, that reflection on the apparently trivial character of T-sentences should not incline us to deflationism. (shrink)

An investigation of what Frege means by his doctrine that functions (and so concepts) are 'unsaturated'. We argue that this doctrine is far less peculiar than it is usually taken to be. What makes it hard to understand, oddly enough, is the fact that it is so deeply embedded in our contemporary understanding of logic and language. To see this, we look at how it emerges out of Frege's confrontation with the Booleans and how it expresses a fundamental difference between (...) Frege's approach to logic and theirs. (shrink)

In The Varieties of Reference, Gareth Evans argues that the content of perceptual experience is nonconceptual, in a sense I shall explain momentarily. More recently, in his book Mind and World, John McDowell has argued that the reasons Evans gives for this claim are not compelling and, moreover, that Evans’s view is a version of “the Myth of the Given”: More precisely, Evans’s view is alleged to suffer from the same sorts of problems that plague sense-datum theories of perception. In (...) particular, McDowell argues that perceptual experience must be within “the space of reasons,” that perception must be able to give us reasons for, that is, to justify, our beliefs about the world: And, according to him, no state that does not have conceptual content can be a reason for a belief. Now, there are many ways in which Evans’s basic idea, that perceptual content is nonconceptual, might be developed; some of these, I shall argue, would be vulnerable to the objections McDowell brings against him. But I shall also argue that there is a way of developing it that is not vulnerable to these objections. (shrink)

Some years ago, Machery, Mallon, Nichols, and Stich reported the results of experiments that reveal, they claim, cross-cultural differences in speaker’s ‘intuitions’ about Kripke’s famous Gödel–Schmidt case. Several authors have suggested, however, that the question they asked their subjects is ambiguous between speaker’s reference and semantic reference. Machery and colleagues have since made a number of replies. It is argued here that these are ineffective. The larger lesson, however, concerns the role that first-order philosophy should, and more importantly should not, (...) play in the design of such experiments and in the evaluation of their results. (shrink)

John Etchemendy has argued that it is but "a fortuitous accident" that Tarski's work on truth has any signifance at all for semantics. I argue, in response, that Etchemendy and others, such as Scott Soames and Hilary Putnam, have been misled by Tarski's emphasis on definitions of truth rather than theories of truth and that, once we appreciate how Tarski understood the relation between these, we can answer Etchemendy's implicit and explicit criticisms of neo-Davidsonian semantics.

The paper formulates and proves a strengthening of ‘Frege’s Theorem’, which states that axioms for second-order arithmetic are derivable in second-order logic from Hume’s Principle, which itself says that the number of Fs is the same as the number ofGs just in case the Fs and Gs are equinumerous. The improvement consists in restricting this claim to finite concepts, so that nothing is claimed about the circumstances under which infinite concepts have the same number. ‘Finite Hume’s Principle’ also suffices for (...) the derivation of axioms for arithmetic and, indeed, is equivalent to a version of them, in the presence of Frege’s definitions of the primitive expressions of the language of arithmetic. The philosophical significance of this result is also discussed. (shrink)

Scaffolds are fundamental to many cellular signaling pathways. In this essay, a novel class of scaffolds are proposed, whose action bears striking resemblance to kinetic proofreading. Commonly, scaffold proteins are thought to work as tethers, bringing different components of a pathway together to improve the likelihood of their interaction. However, recent studies show that the cytoskeletal scaffold, anillin, supports contractile signaling by a novel, non‐tethering mechanism that controls the membrane dissociation kinetics of RhoA. More generally, such proof‐reading‐like scaffolds are distinguished (...) from tethers by a rare type of cooperativity, manifest as a super‐linear relationship between scaffold concentration and signaling efficiency. The evidence for this hypothesis is reviewed, its conceptual ramifications are considered, and research questions for the future are discussed. (shrink)

A chance-credence norm states how an agent's credences in propositions concerning objective chances ought to relate to her credences in other propositions. The most famous such norm is the Principal Principle (PP), due to David Lewis. However, Lewis noticed that PP is too strong when combined with many accounts of chance that attempt to reduce chance facts to non-modal facts. Those who defend such accounts of chance have offered two alternative chance-credence norms: the first is Hall's and Thau's New Principle (...) (NP); the second is Ismael's General Recipe (IP). Thus, the question arises: Should we adopt NP or IP or both? In this paper, I argue that IP has unacceptable consequences when coupled with reductionism, so we must accept NP alone. (shrink)

As is well-known, the formal system in which Frege works in his Grundgesetze der Arithmetik is formally inconsistent, Russell's Paradox being derivable in it. This system is, except for minor differences, full second-order logic, augmented by a single non-logical axiom, Frege's Axiom V. It has been known for some time now that the first-order fragment of the theory is consistent. The present paper establishes that both the simple and the ramified predicative second-order fragments are consistent, and that Robinson arithmetic, Q, (...) is relatively interpretable in the simple predicative fragment. The philosophical significance of the result is discussed. (shrink)

Written as a comment on Crispin Wright's "Vagueness: A Fifth Column Approach", this paper defends a form of supervaluationism against Wright's criticisms. Along the way, however, it takes up the question what is really wrong with Epistemicism, how the appeal of the Sorities ought properly to be understood, and why Contextualist accounts of vagueness won't do.

The 1920-1960 period saw the creation of the conditions for a unification of disciplines in the area of evolutionary biology under a limited number of theoretical prescriptions: the evolutionary synthesis. Whereas the sociological dimension of this synthesis was fairly successful, it was surprisingly loose when it came to the interpretation of the evolutionary mechanisms per se, and completely lacking at the level of the foundational epistemological and metaphysical commitments. Key figures such as Huxley, Simpson, Dobzhansky, and Rensch only paid lip (...) service to the conceptual dimension of the evolutionary synthesis, as they eventually realized that a number of evolutionary phenomena could not be explained by its narrow theoretical corpus. Apparently, the evolutionary synthesis constituted a premature event in the development of evolutionary biology. Not only are the real achievements of the evolutionary synthesis in need of reevaluation, but this reassessment also has important implications for the historiography of Darwinism and the current debates about the darwinian movement. (shrink)

Frege, famously, held that there is a close connection between our concept of cardinal number and the notion of one-one correspondence, a connection enshrined in Hume's Principle. Husserl, and later Parsons, objected that there is no such close connection, that our most primitive conception of cardinality arises from our grasp of the practice of counting. Some empirical work on children's development of a concept of number has sometimes been thought to point in the same direction. I argue, however, that Frege (...) was close to right, that our concept of cardinal number is closely connected with a notion like that of one-one correspondence, a more primitive notion we might call just as many. (shrink)

Maybe the most important argument in David Chalmers’s monumental book Constructing the World is the one he calls the ‘Frontloading Argument’, which is used in Chapter 4 to argue for the book’s central thesis, A Priori Scrutability. And, at first blush, the Frontloading Argument looks very strong. I argue here, however, that it is incapable of securing the conclusion it is meant to establish.

The main focus of my comments is the role played in Dickie's view by the idea that "the mind has a need to represent things outside itself". But there are also some remarks about her (very interesting) suggestion that descriptive names can sometimes fail to refer to the object that satisfies the associated description.

The paper argues, as against Thau and Caplan, that the traditional interpretation that Frege abandoned his earlier views about identity and identity--statements is correct.