The dividing walls of hostility -- The roots of othering -- The forms of othering -- The violent consequences of othering -- Voices of the moral imperative -- And the walls come tumbling down.

This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within mainstream number cognition research, (...) along with the central challenges these views face. Third, it identifies and critically assesses a series of core philosophical assumptions often adopted by number cognition researchers. Finally, the Element articulates and defends a novel version of pluralism about number concepts. (shrink)

Hofweber (Ontology and the ambitions of metaphysics, Oxford University Press, 2016) argues for a thesis he calls “internalism” with respect to natural number discourse: no expressions purporting to refer to natural numbers in fact refer, and no apparent quantification over natural numbers actually involves quantification over natural numbers as objects. He argues that while internalism leaves open the question of whether other kinds of abstracta exist, it precludes the existence of natural numbers, thus establishing what he calls “restricted nominalism” about (...) natural numbers. We argue that Hofweber’s internalism fails to establish restricted nominalism. Not only is his primary argument for restricted nominalism invalid, the analysis of quantification proposed threatens to collapse internalism into either a traditional form of error theory or realism. (shrink)

The Renaissance was a period of great intellectual change and innovation as philosophers rediscovered the philosophy of classical antiquity and passed it on to the modern age. Renaissance philosophy is distinct both from the medieval scholasticism, based on revelation and authority, and from philosophers of the seventeenth and eighteenth centuries who transformed it into new philosophical systems. Despite the importance of the Renaissance to the development of philosophy over time, it has remained largely understudied by historians of philosophy and professional (...) philosophers. This anthology aims to correct this by providing scholars and students of philosophy with representative translations of the most important philosophers of the Renaissance. Its purpose is to help readers appreciate philosophy in the Renaissance and its importance in the history of philosophy. The anthology includes translations from philosophers from the thirteenth to the seventeenth centuries, and it ranges from works on moral and political philosophy, to metaphysics, epistemology, and natural philosophy, thereby providing historians and students of philosophy with a sense for the nature, breadth, and complexity of philosophy in the Renaissance. Each translation is accompanied by an introduction by a historian of Renaissance philosophy, as well as select secondary sources, in order to encourage further study. (shrink)

It is proposed here that the spinal network of proprioceptive feedback from length and force receptors constitutes the mechanism underlying the coordination of activation thresholds for muscles acting about the same and neighboring joints. For the most part, these circuits come between motoneurons and supraspinal signals, invalidating the idea that the activation thresholds constitute control variables for the motor system.

Number words seemingly function both as adjectives attributing cardinality properties to collections, as in Frege’s ‘Jupiter has four moons’, and as names referring to numbers, as in Frege’s ‘The number of Jupiter’s moons is four’. This leads to what Thomas Hofweber calls Frege’s Other Puzzle: How can number words function as modifiers and as singular terms if neither adjectives nor names can serve multiple semantic functions? Whereas most philosophers deny that one of these uses is genuine, we instead argue that (...) number words, like many related expressions, are polymorphic, having multiple uses whose meanings are systematically related via type shifting. (shrink)

In this paper, we outline and critically evaluate Thomas Hofweber’s solution to a semantic puzzle he calls Frege’s Other Puzzle. After sketching the Puzzle and two traditional responses to it—the Substantival Strategy and the Adjectival Strategy—we outline Hofweber’s proposed version of Adjectivalism. We argue that two key components—the syntactic and semantic components—of Hofweber’s analysis both suffer from serious empirical difficulties. Ultimately, this suggests that an altogether different solution to Frege’s Other Puzzle is required.

One of the more distinctive features of Bob Hale and Crispin Wright’s neologicism about arithmetic is their invocation of Frege’s Constraint – roughly, the requirement that the core empirical applications for a class of numbers be “built directly into” their formal characterization. In particular, they maintain that, if adopted, Frege’s Constraint adjudicates in favor of their preferred foundation – Hume’s Principle – and against alternatives, such as the Dedekind-Peano axioms. In what follows we establish two main claims. First, we show (...) that, if sound, Hale and Wright’s arguments for Frege’s Constraint at most establish a version on which the relevant application of the naturals is transitive counting – roughly, the counting procedure by which numerals are used to answer “how many”-questions. Second, we show that this version of Frege’s Constraint fails to adjudicate in favor of Hume’s Principle. If this is the version of Frege’s Constraint that a foundation for arithmetic must respect, then Hume’s Principle no more – and no less – meets the requirement than the Dedekind-Peano axioms do. (shrink)

There are multiple formal characterizations of the natural numbers available. Despite being inter-derivable, they plausibly codify different possible applications of the naturals – doing basic arithmetic, counting, and ordering – as well as different philosophical conceptions of those numbers: structuralist, cardinal, and ordinal. Nevertheless, some influential philosophers of mathematics have argued for a non-egalitarian attitude according to which one of those characterizations is more “legitmate” in virtue of being “more basic” or “more fundamental”. This paper addresses two related issues. First, (...) we review some of these non-egalitarian arguments, lay out a laundry list of different, legitimate, notions of relative priority, and suggest that these arguments plausibly employ different such notions. Secondly, we argue that given a metaphysical-cum-epistemological gloss suggested by Frege’s foundationalist epistomology, the ordinals are plausibly more basic than the cardinals. This is just one orientation to relative priority one could take, however. Ultimately, we subscribe to an egalitarian attitude towards these formal characterizations: they are, in some sense, equally “legitimate”. (shrink)

There are multiple formal characterizations of the natural numbers available. Despite being inter-derivable, they plausibly codify different possible applications of the naturals – doing basic arithmetic, counting, and ordering – as well as different philosophical conceptions of those numbers: structuralist, cardinal, and ordinal. Some influential philosophers of mathematics have argued for a non-egalitarian attitude according to which one of those characterizations is ‘more basic’ or ‘more fundamental’ than the others. This paper addresses two related issues. First, we review some of (...) these non-egalitarian arguments, lay out a laundry list of different, legitimate, notions of relative priority, and suggest that these arguments plausibly employ different such notions. Secondly, we argue that given a metaphysical-cum-epistemological gloss suggested by Frege's foundationalist epistemology, the ordinals are plausibly more basic than the cardinals. This is just one orientation to relative priority one could take, however. Ultimately, we subscribe to an egalitarian attitude towards these formal characterizations: they are, in some sense, equally ‘legitimate’. (shrink)

Clarke and Beck import certain assumptions about the nature of numbers. Although these are widespread within research on number cognition, they are highly contentious among philosophers of mathematics. In this commentary, we isolate and critically evaluate one core assumption: the identity thesis.

Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of _which number_ is the greatest common divisor of two numbers. Arguably, algorithms operate directly on syntactic items, such as strings, and on numbers and the like only via how the numbers are represented. So we broach matters of _notation_. The purpose of this article is to explore the relationship between (...) the notations acceptable for computation, the usual idealizations involved in theories of computability, flowing from Alan Turing’s monumental work, and de re propositional attitudes toward numbers and other mathematical objects. (shrink)

A core commitment of Bob Hale and Crispin Wright’s neologicism is their invocation of Frege’s Constraint—roughly, the requirement that the core empirical applications for a class of numbers be “built directly into” their formal characterization. According to these neologicists, if legitimate, Frege’s Constraint adjudicates in favor of their preferred foundation—Hume’s Principle—and against alternatives, such as the Dedekind–Peano axioms. In this paper, we consider a recent argument for legitimating Frege’s Constraint due to Hale, according to which the primary empirical application of (...) the naturals is transitive counting, or answering ‘how many’-questions using numerals. We make two claims regarding Hale’s argument. First, it fails to legitimate Frege’s Constraint in virtue of resting on unsupported and highly contentious assumptions. Secondly, even if sound, Hale’s argument would vindicate a version of Frege’s Constraint which fails to adjudicate in favor of Hume’s Principle over alternative characterizations of the naturals. (shrink)

In this interview, C. P. Goodman invites British Polanyi scholar Richard T. Allen to reflect on his interest in Polanyi’s philosophical ideas and share what he believes is valuable in his thought.

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)

This book gathers together for the first time an important body of texts written between 1672 and 1686 by the great German philosopher and polymath Gottfried Leibniz. These writings, most of them previously untranslated, represent Leibniz's sustained attempt on a problem whose solution was crucial to the development of his thought, that of the composition of the continuum. The volume begins with excerpts from Leibniz's Paris writings, in which he tackles such problems as whether the infinite division of matter entails (...) perfect points, whether matter and space can be regarded as true wholes, whether motion is truly continuous, and the nature of body and substance. Comprising the second section is Pacidius Philalethi, Leibniz's brilliant dialogue of late 1676 on the problem of the continuity of motion. In the selections of the final section, from his Hanover writings of 1677-1686, Leibniz abandons his earlier transcreationism and atomism in favor of the theory of corporeal substance, where the reality of body and motion is founded in substantial form or force.Leibniz's texts (one in French, the rest in Latin) are presented with facing-page English translations, together with an introduction, notes, appendixes containing related excerpts from earlier works by Leibniz and his predecessors, and a valuable glossary detailing important terms and their translations. (shrink)

In these remarks on Ohad Nachtomy’s account of Leibniz’s philosophy of the infinite in his recent book, Living Mirrors, I focus on his suggestion that living creatures be interpreted as exemplifying the second of the three degrees of infinity that Leibniz articulates in 1676, as things which are infinite in their own kind. For the infinity characterizing created substances cannot be the highest degree, which is reserved by Leibniz for the divine substance, while Nachtomy sees the lowest degree as applicable (...) only to “entia rationis such as numbers and relations”. Against this, I argue that the lowest or syncategorematic infinite applies to any multiplicity or magnitude that is greater than any assignable, so that something further can always be added; whereas the second degree applies to the divine attributes or perfections, which are maximal in that nothing further of that kind can be added. (shrink)

By ruling out questions of impairment from the social critique of disability, Disability Studies analyses establish a limit point in the field. Of course the setting of “limits” enables possibilities in multiple directions as well as fortifies boundaries of refusal. For instance, impairment becomes in DS simultaneously a productive refusal to interpret disabled bodies as inferior to non-disabled bodies and a bar to thinking through more active engagements with disability as materiality. Disability materiality such as conditions produced by ecological toxicities (...) serve as active switch-points for creative corporeal navigations of the interaction between bodies and environments.In fact in this paper we want to propose a more “lively” definition of disability materiality to existing definitions of impairment as limiting expressions of non-normative bodies. We have no useful ways of explaining disability as adaptation and it’s time we begin the process of theorizing more active ideas of materiality that extend existing ideas of disability beyond simplistic conceptions of socially rejected biologies made available by social constructivist thought. (shrink)

The aim of this paper is to explain the significance of Alfred A. Robb’s philosophy of time stemming from his interpretation of relativity theory; and at the same time, to investigate the reasons for the failure of his philosophical contemporaries to appreciate its significance, with special attention to its reception on Russell’s part. The study of Russell’s reaction to Robb exposes shortcomings in Russell’s own philosophy of time, which has been extremely influential through the years. It also highlights the philosophical (...) differences between Minkowski and Robb, the shared idealistic premises of Russell and McTaggart, and the confluences between the views of Russell, Eddington and McTaggart. The paper closes with an account of how Robb’s interpretation has been vindicated by its adoption in modern physics. (shrink)

Here, we compare birdsong and human musicality using insights from songbird neuroethology and evolution. For example, neural recordings during songbird duetting and other coordinated vocal behaviors could inform mechanistic hypotheses regarding human brain function during music-making. Furthermore, considering songbird evolution as a model system suggests that selection favoring certain culturally transmitted behaviors can indirectly select for associated underlying neural functions.

Leibniz never tired of stressing the fundamental importance of the concept of continuity for philosophy, nor was he shy of attributing major importance to his own struggle through “the labyrinth of the continuum” for the subsequent development of his whole system of thought. Unfortunately, however, his own thought on the subject is something of a labyrinth itself, and from a modern point of view many of his pronouncements are apt to seem blatantly contradictory.Certain quotations seem to commit him unambiguously to (...) atomism. Thus to de Voider he writes: “Matter is not continuous, but discrete…. The same holds for changes, which are not truly continuous.” (To de Voider, 11th October 1705: G.II.279).2. (shrink)

Mario Bunge wrote his classic Causality and Modern Science more than 60 years ago, and a third revised edition was published by Dover in 1979. With its impressive scope and historical perspective it was a long way ahead of its time. But many of its insights still have not been sufficiently appreciated by physicists and philosophers alike. These include Bunge’s distinction between causation and other types of determination, his critique of the still-dominant Humean accounts of causality as leaving out the (...) productive aspect of determination, his critique of the conflation of determination with predictability, his insistence on the fictional character of isolated causal chains, and his demonstration that “causal connectability” depends only on the principle of retarded action, not causation. It will be argued that there is a degree of agreement between his views on determinism and causality and those of Leibniz, and a comparison between the two thinkers’ views is used to throw further light on these matters. (shrink)

G. E. Moore attended Russell’s lectures on Leibniz in 1899 and kept detailed notes which have been preserved among his papers. The present article prints his notes in their entirety with annotations.

Talk of matters ethical is, in the psychotherapeutic context, typically relegated to therapy’s preconditions and setting, i.e., to its ‘frame’. What goes on within that frame, i.e., therapeutic action itself, gets theorised in psychological rather than ethical terms. An explanation for this is the frequent therapeutic imperative to extirpate self-directed moralising. Moralising, however, constitutes but a phoney pretender to the ethical life. A true ethical sensibility instead shows itself in such moments of life as involve our offering humane recognition to (...) one another and to ourselves. Being offered such recognition not only allows a patient to internalise it as a remoralising dignity or healthy pride. It also enables the patient to know herself by animating within herself a range of virtue concepts—courage, probity, repentance, etc.—which can then function as regulative ideals for a well-functioning psyche. Inchoate anxiety now takes shape as intelligible guilt. Repentance and the repair of damaged relationships now replace blame’s repression or projection. Conscience now becomes a motor for therapeutic change. In such ways, ethical concern constitutes not merely the frame but the living flesh of the therapeutic project. (shrink)

Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of which number is the greatest common divisor of two numbers. Arguably, algorithms operate directly on syntactic items, such as strings, and on numbers and the like only via how the numbers are represented. So we broach matters of notation. The purpose of this article is to explore the relationship between (...) the notations acceptable for computation, the usual idealizations involved in theories of computability, flowing from Alan Turing’s monumental work, and de re propositional attitudes toward numbers and other mathematical objects. (shrink)

Philosophical engagements with psychoanalysis have taken several forms. Some have offered a philosophical re-vision of psychoanalytical understandings of human nature. Thus, we have Boss, Binswanger, Sartre, and Merleau-Ponty offering us existential-phenomenological; Ricoeur hermeneutic; Lacan structuralist; and Heaton, Elder, and Fingarette Wittgensteinian, readings of unconscious life and of therapeutic action. Such philosophical elaborations of the most apt reflective and the most fruitful revisionary understanding of dynamic unconsciousness also involve parallel critique of such aspects of psychoanalytical psychology's immanent self-understanding as...

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

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)

When assessing a new philosophical theory of psychopathology, a first question might be: is it descriptive or revisionary in intent? Does it aim to provide reflective understanding of what is already meant by correct uses of ‘mental disorder’? Or instead to redeploy that familiar term in articulating a new concept meeting particular desiderata? Nielsen offers us an ‘enactive conceptualization’ of mental disorder, and conceptualizations are typically understood as inventive rather than descriptive. However it was not entirely clear to me, from (...) reading his text, that this was indeed his ambition. My first question for Nielsen, then, is clarificatory: does he intend his project as descriptive or revisionary?If the... (shrink)

Previous work suggests that threat-related stimuli are stored to a greater degree in working memory compared to neutral stimuli. However, most of this research has focused on stimuli with physically salient threat attributes, failing to account for how a “neutral” stimulus that has acquired threat-related associations through differential aversive conditioning influences working memory. The current study examined how differentially conditioned safe and threat stimuli are stored in working memory relative to a novel, non-associated stimuli. Participants completed a differential fear conditioning (...) task followed by a change detection task consisting of three conditions across two loads. Results revealed individuals successfully learned to distinguishing CS+ from CS– conditions during the differential aversive conditioning task. Our working memory outcomes indicated successful load manipulation effects, but no statistically significant differences in accuracy, response time, or Pashler’s K measures of working memory capacity between CS+, CS–, or N conditions. However, we observed significantly reduced RT difference scores for the CS+ compared to CS– condition, indicating greater RT differences between the CS+ and N condition vs. the CS– and N condition. These findings suggest that differentially conditioned stimuli have little impact on behavioral outcomes of working memory compared to novel stimuli that had not been associated with previous safe of aversive outcomes, at least in healthy populations. (shrink)

This volume contains all of the presidential addresses given before the American Society for Value Inquiry since its first meeting in 1970. Contributions are by Richard Brandt*, Virgil Aldrich*, John W. Davis*, the late Robert S. Hartman*, James B. Wilbur*, the late William H. Werkmeister, Robert E. Carter, the late William T. Blackstone, Gene James, Eva Hauel Cadwallader, Richard T. Hull, Norman Bowie*, Stephen White*, Burton Leiser+, Abraham Edel, Sidney Axinn, Robert Ginsberg, Patricia Werhane, Lisa M. Newton, Thomas (...) Magnell, Sander Lee, John M. Abbarno, Ruth Miller Lucier, and Tom Regan*. Autobiographical sketches* by all of the living contributors and one recently deceased, biographical statements of the remainder, together with photographic portraits of all the contributors*, make this volume a unique record of value inquiry during the past quarter century. __. (shrink)

William Hunter's anatomical inquiry employed all of his senses, but how did his personal experiences with the cadaver become generalized scientific knowledge teachable to students and understandable by fellow practitioners? Moving beyond a historiographical focus on Hunter's images and extending Lorraine Daston's (2008) concept of an ‘ontology of scientific observation’ to include non-visual senses, I argue that Hunter's work aimed to create a stabilized object of the cadaver that he and his students could perceive in common. Crucial to this stabilization (...) was the sense of touch and its interaction with other senses, creating intersensory knowledge of the cadaver. Through a close reading of his neglected posthumous publication An Anatomical Description of the Human Gravid Uterus (1794), I demonstrate that Hunter wrote extensively about touch and other sensory experiences, using comparative metaphors and other linguistic strategies to engender clear ideas of the cadaver in the mind of the reader. That these ideas could be consistent between practitioners was guaranteed by God, but required practitioners to appropriately reflect on their sensory experiences with cadavers. Hunter's experimental practice encompassed both simple and complex methods, all aimed at increasing the range of sensorial experiences he had with the gravid uterus. His preservations of these experiences in text, image and preparation could then be used to support further anatomical investigations. (shrink)

IntroductionIn recent years, there has been something of an explosion of news stories about various college and university campuses across North America experiencing heightened levels of political advocacy and political unrest. Visible examples include the “canceling” of invited speakers who have been deemed offensive by select student groups1 or petitions calling for the removal of instructors who have been accused of using harmful language.2 While these examples shed light on some of the more intense political debates circulating in higher educational (...) institutions, they are also newsworthy stories precisely because they suggest strong divisiveness in worldviews in action—the contradiction between different…. (shrink)

Documents a decade that saw the Association begin negotiations to merge with the Western Philosophical Association that later led to the original organization becoming the Eastern Division of an expanded Association, and a world war that divided friends and colleagues across both geographical and political lines. The addresses, therefore, take on internal and external politics and are often tinged with tragedy. The topics include the problem of transcendence, Bergson and pragmatism, time and the experience of time, the ethics of states, (...) the doctrinaire in a time of crisis, the psychology of punitive justice, art and the democracy, the social significance of education, and the attack on the state. Biographical sketches and photographs are provided for the speakers. Annotation copyrighted by Book News, Inc., Portland, OR. (shrink)