The sublime evokes our awe, our terror, and our wonder. Applied first in ancient Greece to the heights of literary expression, in the 18th-century the sublime was extended to nature and to the sciences, enterprises that viewed the natural world as a manifestation of God's goodness, power, and wisdom. In The Scientific Sublime, Alan Gross reveals the modern-day sublime in popular science. He shows how the great popular scientists of our time--Richard Feynman, Stephen Hawking, Steven Weinberg, Brian Greene, Lisa (...) Randall, Rachel Carson, Stephen Jay Gould, Steven Pinker, Richard Dawkins, and E. O. Wilson--evoke the sublime in response to fundamental questions: How did the universe begin? How did life? How did language? These authors maintain a tradition initiated by Joseph Addison, Edmund Burke, Immanuel Kant, and Adam Smith, towering 18th-century figures who adapted the literary sublime first to nature, then to science--though with one crucial difference: religion has been replaced wholly by science. In a final chapter, Gross explores science's attack on religion, an assault that attempts to sweep permanently under the rug two questions science cannot answer: What is the meaning of life? What is the meaning of the good life? (shrink)

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.

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)

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 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.

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 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)

Depression and the subjective experience of suffering are distinct forms of distress, but they are sometimes commingled with one another. Using a cross-sectional sample of flight attendants, we tested for further empirical evidence distinguishing depression and suffering. Correlations with 15 indices covering several dimensions of well-being indicated that associations with worse well-being were mostly stronger for depression than suffering. There was a large positive correlation between depression and suffering, but we also found evidence of notable non-concurrent depression and suffering in (...) the sample. After dividing participants into four groups that varied based on severity of depression and suffering, regression analyses showed higher levels of well-being among those with both none-mild depression and none-mild suffering compared to those with moderate-severe depression, moderate-severe suffering, or both. All indices of well-being were lowest among the group of participants with moderate-severe depression and moderate-severe suffering. In addition to providing further evidence supporting a distinction between depression and suffering, our findings suggest that concurrent depression and suffering may be more disruptive to well-being than when either is present alone. (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)

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)

Why do people in more unequal societies have worse health and shorter lives than those in less unequal ones? Why do more unequal societies tend to have more violence and weaker community life? This paper discusses the research evidence on the psychosocial pathways which suggest how and why we are affected by inequality.How big income differences are in any society seems to serve as an indicator of the scale of social differentiation and social distances within it. The evidence shows that (...) more hierarchical societies incur a wide range of social costs reflecting the corrosive effects of inequality. But why are we so sensitive to inequality? Epidemiological research on health inequalities and the social determinants of health has demonstrated that the quality of the social environment has powerful effects on health. Particularly important are social status, friendship and early childhood experience. The indications are that poor health may share causal pathways with many other social problems associated with relative deprivation - including violence.Summarizing my recent book, The Impact of Inequality , this paper provides an account of how inequality gets under the skin to affect both health and wellbeing. Rather than making comparisons with some impractical state of complete equality, all the evidence presented shows the importance of the differences in inequality between different states of the USA or between different developed market democracies: it shows that even small increases in equality matter. (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.

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)

In recent work on Frege, one of the most salient issues has been whether he was prepared to make serious use of semantical notions such as reference and truth. I argue here Frege did make very serious use of semantical concepts. I argue, first, that Frege had reason to be interested in the question how the axioms and rules of his formal theory might be justified and, second, that he explicitly commits himself to offering a justification that appeals to the (...) notion of reference. I then discuss the justifications Frege offered, focusing on his discussion of inferences involving free variables, in section 17 of Grundgesetze, and his argument, in sections 29-32, that every well-formed expression of his formal language has a unique reference. (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 differ...

The purpose of this note is to present a strong form of the liar paradox. It is strong because the logical resources needed to generate the paradox are weak, in each of two senses. First, few expressive resources required: conjunction, negation, and identity. In particular, this form of the liar does not need to make any use of the conditional. Second, few inferential resources are required. These are: (i) conjunction introduction; (ii) substitution of identicals; and (iii) the inference: From ¬(p (...) ∧ p), infer ¬ p. It is, interestingly enough, also essential to the argument that the ‘strong’ form of the diagonal lemma be used: the one that delivers a term λ such that we can prove: λ = ¬ T(⌈λ⌉); rather than just a sentence Λ for which we can prove: Λ ≡ ¬T(⌈Λ⌉). The truth-theoretic principles used to generate the paradox are these: ¬(S ∧ T(⌈¬S⌉); and ¬(¬S ∧ ¬T(⌈¬S⌉). These are classically equivalent to the two directions of the T-scheme, but they are intuitively weaker. The lesson I would like to draw is: There can be no consistent solution to the Liar paradox that does not involve abandoning truth-theoretic principles that should be every bit as dear to our hearts as the T-scheme. So we shall have to learn to live with the Liar, one way or another. (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.

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)

In lieu of an abstract, here is a brief excerpt of the content:Madness, Reason, and PrideRichard G.T. Gipps, PhD (bio)MadnessQuestions such as “what’s madness?” or “what’s reason?” carry no singular sense about with them wherever they go—which isn’t to say that, asked out of a particular interest in a particular context, they can’t be perfectly intelligible. Garson (2023) is wise to this when he follows “what is madness?” with “as opposed to what?”, even if this latter question itself hardly enjoys (...) a clear sense in the initial context of his asking. What counts as a satisfactory answer to “what’s x?” varies, so that sometimes we’ll be satisfied with a name, at other times by information about something’s genus, origin, function, or composition. Things get notoriously tricky when in the philosophical context the question is asked with a presumption of intelligibility despite ‘x’ being, say, an abstract noun formed from an adjective (‘consciousness’ out of ‘conscious’; ‘happiness’ out of ‘happy’; ‘madness’ out of ‘mad,’ etc.). For “what is?” questions are typically most perspicuously mooted when what’s being pursued are enquiries into (what we might call) the ‘essential nature’ of (what philosophers used to call) ‘substances’ or (of what are more ordinarily called) types of ‘thing’ or ‘entity.’ Invoke, by taking one’s lead from the fact that an ‘x’ is grammatically speaking a substantive, the specter of substance, and you can endlessly baffle yourself by now pondering the mysteries of the putative thing. (Vide discussions of “the nature of consciousness.”) Hence the boon of instead pursuing questions of an ‘opposed to what?’ sort; hence Wittgenstein considering using the Earl of Kent’s “I’ll teach you differences” (King Lear) as a motto for his Investigations. Rather more reflective wisdom regarding ‘x’ may thus be gained when we learn to contrast it with ‘y’ and ‘z’ than when peering into x’s non-existent constitution or groping for its never-instituted genus.Later, I make the case that Garson’s conception of reason itself might suffer from a form of substantialization and that, if I’m right in this, troubling implications follow for his approach to madness. But let’s begin by considering his enquiry into the relation of madness, idiocy and reason. So perhaps we’re reflecting on matters legal, and considering—since we’d hitherto been inclined to take ‘reason’ as univocal—what justifies our different treatments of the insane, the intellectually subnormal, and the normal. Or perhaps—proceeding from the same inclination—we’re puzzled by how someone may boast an exceptional IQ or demonstrate marvelous formal rationality (i.e., make deductions of a sort which would please the logician if no-one else) and yet still be quite mad. And then we realize that at which Garson’s Late Moderns seem to have been gesturing: The lack of reason qua intelligence in idiocy is a different [End Page 307] species from the lack of reason qua sanity in madness. An amethyst is lifeless in a different manner than an expired possum (it was never living, never moribund); the arational lack reason in a different sense than do the irrational (and a baobab cannot jump to conclusions.) There is, say his Late Modern theorists, something ‘perverse’ rather than simply deficient about the irrationality of madness.Now an important part of Garson’s thesis has it that “idiocy is a better candidate for the opposite of reason than madness.” One of the reasons for his making this claim is that he follows his Late Moderns in claiming that madness has reason somehow alive within it, albeit in an unconventional or surprising form. I return to his own explication of this below. Consider first, though, the different thought-referencing descriptions under which the speech acts of the thought-disordered, the speech-disordered, the delusional, and the learning disabled subject may be brought. The sufferer of speech disorder has difficulty with fluency or sound production, but once we get used to this we can find our way to the bona fide rational thought immanent within their discourse. The speech acts of the intellectually impaired subject aren’t chaotic, but instead want for invention and richness; they fail to express... (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)

Originally published between 1968 and 2009, this collection of 25 pieces includes six interviews translated into English for the first time and a new transcription of a Q&A session with Baudrillard following a lecture he gave in London in 1994. The guiding theme of the collection is Baudrillard's engagement with culture. The implications of the implosion of Western culture are dissected and documented in the rich range of material included here.

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)

Discusses Frege's formal definitions and characterizations of infinite and finite sets. Speculates that Frege might have discovered the "oddity" in Dedekind's famous proof that all infinite sets are Dedekind infinite and, in doing so, stumbled across an axiom of countable choice.

One characteristic of the transition from the Middle Paleolithic to the Upper Paleolithic in Europe was the emergence of representational charcoal drawings and engravings by Aurignacian and Gravettian artists. European Neanderthals never engaged in representational drawing during the Middle and Early Upper Paleolithic, a property that might reflect less developed visuomotor coordination. This article postulates a causal relationship between an evolved ability of anatomically modern humans to throw spears accurately while hunting and their ability to draw representational images from working (...) memory. Unlike Neanderthals, archaic and anatomically modern humans in sub-Saharan Africa adopted longer-range hunting practices using hand-cast spears as a compensation for the emergence of increasingly wary game. For Neanderthals, paleoclimatic fluctuations likely precluded consistent hunting of cold-adapted game, a property making game more approachable for close-range hunting with thrusting spears. As evidence of less historical wariness of humans, many of the species hunted by Neanderthals were eventually domesticated. Due to strong sources of natural selection on archaic and anatomically modern humans for effective hunting, the parietal cortex that integrates visual imagery and motor coordination expanded progressively, yielding the globular shape of the human cranium that is not evident in Neanderthals. To characterize how the cognitive properties employed for throwing spears and drawing line work are similar, the Upper Paleolithic drawings of animals in Chauvet cave, France, are discussed in the speculative context of how these artists engaged simultaneously in overt attention to guide their hand movements and covert attention to their mental images during the drawing process. (shrink)

Øystein Linnebo has recently shown that the existence of successors cannot be proven in predicative Frege arithmetic, using Frege’s definitions of arithmetical notions. By contrast, it is shown here that the existence of successor can be proven in ramified predicative Frege arithmetic.

The Evolutionary Synthesis is often seen as a unification process in evolutionary biology, one which provided this research area with a solid common theoretical foundation. As such, neo-Darwinism is believed to constitute from this time onward a single, coherent, and unified movement offering research guidelines for investigations. While this may be true if evolutionary biology is solely understood as centred around evolutionary mechanisms, an entirely different picture emerges once other aspects of the founding neo-Darwinists’ views are taken into consideration, aspects (...) potentially relevant to the elaboration of an evolutionary worldview: the tree of life, the ontological distinctions of the main cosmic entities , the inherent properties of self-organizing matter, evolutionary ethics, and so on. Profound tensions and inconsistencies are immediately revealed in the neo-Darwinian movement once this broader perspective is adopted. This pluralism is such that it is possible to identify at least three distinct and quasi-incommensurable epistemological/metaphysical frameworks as providing a proper foundation for neo-Darwinism. The analysis of the views of Theodosius Dobzhansky, Bernhard Rensch, and Ernst Mayr will illustrate this untenable pluralism, one which requires us to conceive of the neo-Darwinian research agenda as being conducted in more than one research programme or research tradition at the same time. (shrink)

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)

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)

Thirty-four states criminalize HIV in some way, whether by mandating disclosure of one’s HIV status to all sexual partners or by deeming the saliva of HIV-positive persons a “deadly weapon.” In this paper, we argue that HIV-specific criminal laws are rooted in historical prejudice against HIV-positive persons as a class. While purporting to promote public health goals, these laws instead legally sanction discrimination against a class of persons.

This paper dates from about 1994: I rediscovered it on my hard drive in the spring of 2002. It represents an early attempt to explore the connections between the Julius Caesar problem and Frege's attitude towards Basic Law V. Most of the issues discussed here are ones treated rather differently in my more recent papers "The Julius Caesar Objection" and "Grundgesetze der Arithmetik I 10". But the treatment here is more accessible, in many ways, providing more context and a better (...) sense of how this issue relates to broader issues in Frege's philosophy. (shrink)