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)

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)

There are many kinds of epistemic experts to which we might wish to defer in setting our credences. These include: highly rational agents, objective chances, our own future credences, our own current credences, and evidential probabilities. But exactly what constraint does a deference requirement place on an agent's credences? In this paper we consider three answers, inspired by three principles that have been proposed for deference to objective chances. We consider how these options fare when applied to the other kinds (...) of epistemic experts mentioned above. Of the three deference principles we consider, we argue that two of the options face insuperable difficulties. The third, on the other hand, fares well|at least when it is applied in a particular way. (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 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.

Frege's intention in section 31 of Grundgesetze is to show that every well-formed expression in his formal system denotes. But it has been obscure why he wants to do this and how he intends to do it. It is argued here that, in large part, Frege's purpose is to show that the smooth breathing, from which names of value-ranges are formed, denotes; that his proof that his other primitive expressions denote is sound and anticipates Tarski's theory of truth; and that (...) the proof that the smooth breathing denotes, while flawed, rests upon an idea now familiar from the completeness proof for first-order logic. The main work of the paper consists in defending a new understanding of the semantics Frege offers for the quantifiers: one which is objectual, but which does not make use of the notion of an assignment to a free variable. (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.

As fundamental researchers in the neuroethology of efference copy, we were stimulated by Grush's bold and original synthesis. In the following critique, we draw attention to ways in which it might be tested in the future, we point out an avoidable conceptual error concerning emulation that Grush seems to share with other workers in the field, and we raise questions about the neural correlates of Grush's schemata that might be probed by neurophysiologists.

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.

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)

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)

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.

It is hardly necessary to recapitulate Rhys Roberts' cumulative and convincing proof that the treatise ‘On the Sublime’ was not written by Cassius Longinus, the tutor of Zenobia, but belongs to the early days of the Empire. Not the least convincing of the arguments for this date is the fact that the treatise is suggested by and put out as a substitute for the Περ ״ϒψоνς of Caecilius of Calacte, who according to Suidas taught rhetoric in Rome in the time (...) of Augustus. Now Caecilius was an intimate friend of Dionysius of Halicarnassus : they were both Atticists and fellow-workers in leading literary Romans back to the best models of Greek prose style. But Dionysius is no candidate for the authorship of the extant treatise, which is not one that he could have written. On the other hand he gives a plain indication by which to identify its writer, which Rhys Roberts mentioned but did not adopt. It is the object of this paper to put this identification seriously forward. (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.

In his paper on 'The Science of Psychoanalysis,' Lacewing helpfully distinguishes a central psychodynamic model of the mind, elaborated in the clinical theory of psychoanalysis, from certain of its metapsychological and etiological theories. Critics who view psychoanalysis as unscientific have tended to focus on the lack of evidential support for certain of its developmental claims or the lack of reliability and validity in its theoretical posits. Lacewing claims, however, that the model contained in the clinical theory is much more scientifically (...) respectable than its critics have made out. The data may not always be in, but Lacewing's argument is that there is nothing pseudoscientific about the central model that... (shrink)

This book by Richard G. Stevens is a comprehensive introduction to the nature of political philosophy. It offers definitions of philosophy and politics, showing the tension between the two and the origin of political philosophy as a means of resolution of that tension. Plato and Aristotle are examined in order to see the search for the best political order. Inquiry is then made into political philosophy's new tension brought about by the growth of revealed religion in the Middle Ages. (...) It then examines the changes introduced by modernity and gives an overview of postmodern political thought. The book covers the most influential philosophers and directs readers to the classics of political philosophy, guiding them in studying them. It is an approachable introduction to a complex subject, not just a history of it. It is a point of entry into the subject for students and for others as well. (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)

In lieu of an abstract, here is a brief excerpt of the content:MetanoiaRichard G. T. Gipps, ClinPsyD, PhD (bio)A “honeysuckle on a broken fence”: Scrutton’s (2024) theologically potent image offers us a dignified vision of how a living faith and the experience of mental illness might intersect. Mental and physical illness, deprivation and bereavement sometimes provide a propitious structure on which faith’s bright strands may grow. Scrutton posits no simply causal relationship between faith and mental illness, and steers us helpfully (...) away from the narcissistic overvaluation of inner experience too often met with in (1) mysterium tremendum (meeting-God-blew-my-mind), and (3) mental openness (divine-light-pours-through-the-cracks), formulations. She helps us to avoid settling, too, for the clever-sounding but ultimately too-easy idea of (2) ‘mental illness’ and ‘religious experience’ as different descriptions under which identical experiences may sometimes be brought. For one thing, and to animadvert now in my own vein: can we really—as William James aspires to, say, when he takes it for granted that the “more personal branch [of] feelings, acts, and experiences of individual men in their solitude, so far as they apprehend themselves to stand in relation to... the divine” can be neatly hived off from the “institutional branch of religion... worship... theology... ceremony... ” and so on—even individuate the relevant experiential phenomena independently of their meaning-conferring contexts? For another, it seems to me that too often in the literature of (1) (2) and (3) do we meet with a fatal confusion that can be expressed in terms of a conflation of two meanings of “ego,” as when a) the dropping of the kinds of boundaries which it makes sense to talk of putting up (i.e., our ego’s defensive, prideful, shame-driven shirking of intimacy) is muddled together with b) the crumbling of such individuating ego boundaries as constitute us. Such a confusion gets readily promulgated by vague and tacitly polysemic talk not only of ‘ego’ but also of ‘non-duality,’ ’transpersonal,’ and ‘higher’ and ‘lower’ ‘levels’ of ‘self’ and ‘consciousness’ (e.g., see Kasprow & Scotton 1999). Sometimes driving this, one can’t help suspect, is the narcissistic gain of conflating the dismal dissolution of ego boundaries in illness (Conrad, 1958) with the epiphanic transcendence of a grasping and fearful ego. Spiritual pride and spiritual bypass (i.e. fleeing the relational tasks of adult development into a self-preoccupied ‘spiritualised’ inner journey) (Welwood, 2000) then abound, not only for the sufferer but also for the lowly therapist who now receives their shamanic guide/hierophant upgrade. By contrast with all of this, Scrutton’s (4) honeysuckle on a broken fence model stands out in its theological dignity and psychological sobriety.Even so I found myself, on reading Scrutton’s piece, wondering whether a more romantic conception of a growing faith’s possible relation [End Page 257] to psychological disturbance might yet be available and sometimes even find application. What particularly came to my mind was that notion of metanoia as offered us by the existential tradition in both theology and psychopathology.Mark’s gospel begins with John the Baptist heralding Christ’s arrival and preaching the “baptism of repentance [metanoia; μετανοίας] for the remission of sins” (Mark 1:4). Jesus’s first public words then proclaim the same message: “the kingdom of God is at hand: repent ye [μετανοεῖτε], and believe the gospel” (Mark 1:15). ‘Repentance’ is today often understood as a sorrowful acknowledgement of one’s wrongdoings, but it has long been acknowledged that, if that be the meaning we give the term, it is an inapt translation of ‘metanoia’ (Walden, 1896). For what the gospel instead calls for is rather a wholesale turning about, or conversion, from ‘ego-dominance to surrender’ (Barron, 2021), i.e. from (a) defensive and illusory attempts to handle our vulnerability and dependency through self-reliance and self-affirmation to (b) an aliveness to grace (i.e. seeing our lives and their bounties under the aspect of the freely given gift) and a trusting surrender to the dominion of that God of love in which we anyway inexorably ‘live and move and have our being’ (Acts 17:28). The ‘I’ in Paul’s “It is no longer I who... (shrink)

Journal of Philosophy of Education, Volume 56, Issue 1, Page 124-128, February 2022.

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)

A revelatory alternative to the standard economic models of human behavior that proposes an exciting new way to understand decision-making "Willful is a breakthrough in economics. Richard Robb's tremendously insightful book shows how much of our behavior is not explained by existing theories of human action and explains in sparkling prose why understanding decisions made seemingly without reason presents a fuller picture of our world."--Edmund S. Phelps, Nobel Laureate in Economics Why do we do the things we do? The (...) classical view of economics is that we are rational individuals, making decisions with the intention of maximizing our preferences. Behaviorists, on the other hand, see us as relying on mental shortcuts and conforming to preexisting biases. Richard Robb argues that neither explanation accounts for those things that we do for their own sake, and without understanding these sorts of actions, our picture of decision-making is at best incomplete. Robb explains how these choices made seemingly without reason belong to a realm of behavior he identifies as "for-itself." A provocative combination of philosophy and economics that offers a key to many of our quixotic choices, this groundbreaking volume provides a new way to understand everything from investing to how hard we work to how we manage daily interactions. (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)

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)