This paper argues that in Christian Wolff’s theory of knowledge, logical regimentation does not take the place of experiential justification, but serves to facilitate the application of empirical information and clearly exhibit its warrant. My argument targets rationalistic interpretations such as R. Lanier Anderson’s. It is common ground in this dispute that making concepts “distinct” issues in the premises on which all deductive justification rests. Against the view that concepts are made distinct only by analysis, which is carried out by (...) the understanding independently of experience, I contend that for Wolff some distinct concepts are arrived at through experience. I emphasize that Wolff countenances empirical methods of obtaining distinct concepts even in mathematics. This striking feature of his view indicates how its empiricist elements can be reconciled with his injunction to follow “mathematical” method. (shrink)

This paper considers Kant's understanding of conceptual representation in light of his view of geometry.

In his 1763 Prize Essay, Kant is thought to endorse a version of formalism on which mathematical concepts need not apply to extramental objects. Against this reading, I argue that the Prize Essay has sufficient resources to explain how the objective reference of mathematical concepts is secured. This account of mathematical concepts’ objective reference employs material from Wolffian philosophy. On my reading, Kant's 1763 view still falls short of his Critical view in that it does not explain the universal, unconditional (...) applicability of mathematical concepts. (shrink)

J. H. Lambert proved important results of what we now think of as non-Euclidean geometries, and gave examples of surfaces satisfying their theorems. I use his philosophical views to explain why he did not think the certainty of Euclidean geometry was threatened by the development of what we regard as alternatives to it. Lambert holds that theories other than Euclid's fall prey to skeptical doubt. So despite their satisfiability, for him these theories are not equal to Euclid's in justification. Contrary (...) to recent interpretations, then, Lambert does not conceive of mathematical justification as semantic. According to Lambert, Euclid overcomes doubt by means of postulates. Euclid's theory thus owes its justification not to the existence of the surfaces that satisfy it, but to the postulates according to which these "models" are constructed. To understand Lambert's view of postulates and the doubt they answer, I examine his criticism of Christian Wolff's views. I argue that Lambert's view reflects insight into traditional mathematical practice and has value as a foil for contemporary, model-theoretic, views of justification. (shrink)

Newton characterizes the reasoning of Principia Mathematica as geometrical. He emulates classical geometry by displaying, in diagrams, the objects of his reasoning and comparisons between them. Examination of Newton’s unpublished texts shows that Newton conceives geometry as the science of measurement. On this view, all measurement ultimately involves the literal juxtaposition—the putting-together in space—of the item to be measured with a measure, whose dimensions serve as the standard of reference, so that all quantity is ultimately related to spatial extension. I (...) use this conception of Newton’s project to explain the organization and proofs of the first theorems of mechanics to appear in the Principia. The placementof Kepler’s rule of areas as the first proposition, and the manner in which Newton proves it, appear natural on the supposition that Newton seeks a measure, in the sense of a moveable spatial quantity, of time. I argue that Newton proceeds in this way so that his reasoning can have the ostensive certainty of geometry. (shrink)

In a crucial passage of the second-edition Transcendental Deduction, Kant claims that the concept of motion is central to our understanding of change and temporal order. I show that this seemingly idle claim is really integral to the Deduction, understood as a replacement for Locke’s “physiological” epistemology (cf. A86-7/B119). Béatrice Longuenesse has shown that Kant’s notion of distinctively inner receptivity derives from Locke. To explain the a priori application of concepts such as succession to this mode of sensibility, Kant construes (...) the mind as receptive to its own activity. As Longuenesse understands Kant’s response to Locke, “motion” becomes little more than a metaphor for the action of understanding on inner sense. For Michael Friedman, in contrast, this passage evidences Kant’s deep concern with the foundations of Newtonian science. He reads it as a reference to inertial motion, the standard by which temporal intervals are measured. I show that Longuenesse’s and Friedman’s interpretations are in fact complementary. Both Locke and Kant are deeply concerned with the quantification of time. So Longuenesse is right that §24 is meant to supplant Locke’s account, and Friedman correctly takes it as the foundation of Kant’s account of the application of quantitative concepts to time. Kant aims, specifically, to explain cognition of time as continuous magnitude. However, Longuenesse leaves Kant without an answer to Locke’s challenge that continuous magnitude cannot be understood on the basis of discrete magnitude. And on Friedman’s view Kant’s account of the understanding’s activity presupposes, and thus cannot explain, the achievements of the mathematical sciences (such as the representation of temporal continuity). On my reading, Kant’s key contention is that we must regard the segregation of temporally ordered representation into units as the work of the understanding, rather than (as Locke views it) of sensibility. By giving the understanding this role, Kant succeeds where he takes Locke to fail. I show how the power to unify temporal representation can be ascribed to the understanding on the basis, not of assumed mathematical or scientific knowledge, but of its characterization as the power of judgment. (shrink)

The main goal of part 1 is to challenge the widely held view that Poincaré orders the sciences in a hierarchy of dependence, such that all others presuppose arithmetic. Commentators have suggested that the intuition that grounds the use of induction in arithmetic also underlies the conception of a continuum, that the consistency of geometrical axioms must be proved through arithmetical induction, and that arithmetical induction licenses the supposition that certain operations form a group. I criticize each of these readings. (...) More fully, I argue that the justification Poincaré offers for the use of the group notion in geometry appears to extend to set-theoretic notions that would suffice to put arithmetic on a logical foundation, thus undermining his own case for the necessity of intuition in arithmetic. In part 2, I offer an interpretation of intuition’s role on which it justifies the use of group-theoretic, but not set-theoretic, notions. (shrink)

Tyler Burge is an American philosopher whose body of work spans several areas of theoretical philosophy in the analytic tradition. While Burge has made important contributions to the philosophy of language and logic, he is most renowned for his work in philosophy of mind and epistemology. In particular, he is known for articulating and developing a view he labels ‘anti-individualism.’ In his later work, Burge connects his views with state-of-the-art scientific theory. Despite this emphasis on empirical considerations, Burge stands in (...) an important relationship to the rationalist tradition in philosophy. This entry surveys Burge’s work and seeks to situate it in the larger philosophical landscape. (shrink)

Part 1 of this article exposed a tension between Poincaré’s views of arithmetic and geometry and argued that it could not be resolved by taking geometry to depend on arithmetic. Part 2 aims to resolve the tension by supposing not merely that intuition’s role is to justify induction on the natural numbers but rather that it also functions to acquaint us with the unity of orders and structures and show practices to fit or harmonize with experience. I argue that in (...) this manner, intuition serves the epistemological function of warranting generalizations and justifying practices. In particular, it justifies the application of group-theoretic notions in geometry but not the use of set-theoretic notions in arithmetic. (shrink)

Kant’s Mathematical World (KMW) is a strikingly original, richly detailed account of Kant’s philosophy of mathematics as a reckoning with the long-held understa.

Kant’s Metaphysical Foundations of Natural Science (MFNS), published in 1786, has proved difficult to situate in the context of eighteenth-century responses to Newton. One point beyond dispute is that Kant is not satisfied with the “metaphysical foundations” thus far proffered by Newton and his followers. He echoes some familiar Leibnizian criticisms (such as those concerning absolute space) and, in a passage we will examine closely, insists that rejecting “the concept of an original attraction” would put Newton “at variance with himself” (...) (4:515). In light of Kant’s robust defense of the immediacy and universality of gravitational attraction, the overall similarity between his three “mechanical laws” and Newton’s “Axioms, or Laws of Motion” has made it the “standard” view that Kant “intends to justify Newtonian science in general and Newtonian mechanics in particular as stated in” Newton’s laws of motion (Watkins 2019, 89). But it is unclear whether the alternative “foundations” he proposes are for Newton’s theory of motion or something more akin to Leibniz’s physics. Recent scholarship has documented the Leibnizian provenance of Kant’s three laws, and argued for the relevance of later figures strongly influenced by Leibniz. (shrink)

_Review of: Anderson, Abraham, _Kant, Hume, and the Interruption of Dogmatic Slumber_, New York, Oxford University Press, 2020, 180+xxii, 978-0-19-009674-8_.

Not a full treatment of Newton’s scientific method, this book discusses his optical research only in passing (342–43). Its subtitle better indicates its scope: it focuses narrowly on the argument for universal gravitation in Book III of the Principia. The philosophical project is to set out an “ideal of empirical success” realized by the argument. Newton claims his method is to “deduce” propositions “from phenomena.” On Harper’s interpretation Newton’s phenomena are patterns of data, which are used to measure “parameters” by (...) which the theory explains them. An example is Kepler’s Area Rule. Its fit to the data confirms the hypothesis that the force maintaining a body in orbit is directed toward the .. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Kant's Transcendental Deduction by Alison LaywineKatherine DunlopAlison Laywine. Kant's Transcendental Deduction. Oxford: Oxford University Press, 2020. Pp. iv + 318. Hardback, $80.00.Alison Laywine's contribution to the rich literature on Kant's "Transcendental Deduction of the Categories" stands out for the novelty of its approach and conclusions. Laywine's declared "strategy" is "to compare and contrast" the Deduction with the Duisburg Nachlaß, an important set of manuscript jottings from the 1770s (...) (10). But her approach is also deeply informed by Kant's writings on metaphysics from the 1750s and 1760s; moreover, she gives attention to ancient Greek geometry and its importance for Kant's thought.I believe Laywine's most important interpretative claim is that the Transcendental Deduction's "final step" addresses "the question of how nature is possible" (210). Here, 'nature' is understood in what Kant calls the "formal sense," as "the totality of rules under which appearances must stand if they are to be thought as joined in one experience" (Prolegomena, §36; cf. B 165). This constitutes a novel answer to the problem posed in Dieter Henrich's landmark 1969 paper "The Proof Structure of the Transcendental Deduction" (Review of Metaphysics 22 [1969]: 640–59): how to understand §§21–26 of the (B-edition) Deduction as proving more than the thesis already stated in §20 (that the manifold in an intuition necessarily stands under the categories).Crucial support for Laywine's interpretation comes from §26 of the Deduction, which claims the possibility of cognizing objects "a priori through categories... as far as the laws of their combination are concerned, thus the possibility of as it were prescribing the law to nature and even making [nature] possible," is now "to be explained" (B 159). Kant does not use the term 'world' in this passage (as he does in Prolegomena §36). But Laywine contends that here the word 'nature' "has unmistakable, deliberate, cosmological connotations," and in fact "means 'world' in the sense of Kant's early cosmology": roughly, a whole unified by means of laws (12–13).The "cosmological" language of §26 does not recur in the following, officially concluding, section of the Deduction. So, we might ask whether Kant's explanation of how the understanding prescribes laws to nature is integral to the Deduction; Henry Allison, for instance, describes this explanation as an "appendix" (Kant's Transcendental Deduction: An Analytical-Historical Commentary [Oxford: Oxford University Press, 2015], 9). The question of whether it belongs integrally has bite because, as Laywine makes clear in her "Conclusion," the universal laws at issue are just the Analogies of Experience. Thus, the passage could be read as the "promissory note with a forward-looking reference to the System of Principles" that she finds missing from the Deduction (289). Laywine meets such worries by arguing that "the reappropriation [from the pre-Critical period] of the general cosmology is actually [End Page 162] doing... a lot of hard work" in the Deduction (13). This sustained argument comes to a head in chapter 4, which contends that each of the two steps into which Laywine divides the first half of the (B-edition) Deduction, treated in chapters 2 and 3 (respectively), relies on cosmological presuppositions.Chapter 2 analyzes the conception of knowledge as relation to an object that is asserted (in §17) to rely on the synthetic unity of apperception. Laywine traces this conception to the Duisburg Nachlaß's account of "exposition," which relates concepts a priori to appearances, in something like the way that geometrical construction relates them to pure intuition. (Laywine further connects the Latin term expositio to the Greek ekthesis, which expositio translates in the context of geometrical proof. She thereby gives the notion of ekthesis broader importance than does Jaakko Hintikka, who noted its relevance to Kant's philosophy of mathematics in "Kant on the Mathematical Method" [Monist 51 (1967): 352–75]. Laywine claims that Borelli's edition of Euclid could have been Kant's source for the term, but I doubt it was known to Kant and his contemporaries, since it is not among the editions cited by Christian Wolff; Commandino seems likelier to me. Chapter 2 is concerned to articulate the notion of... (shrink)

Abstract In this paper I suggest a way that an already promising view on ethical art criticism can account for the value of mediocre artworks which endorse morally commendable perspectives. In order for the view I call prescriptive ethicism to deal with such cases of critical ambivalence, it must take account of the interaction between moral content and form in art. Such interaction is seen in the way the aesthetic features of an artwork partly determine its moral value, or success (...) in providing ethical insight. I argue that if a work lacks the kind of moral value which is determined by the interaction between form and content, then we have little reason to engage with that work. When a work expresses an otherwise commendable moral attitude in a clumsy or trite manner, while it is clearly compromised aesthetically, it is also compromised ethically. For such a work forfeits the ability to reveal new aspects of ethical life. (shrink)

Gatekeeping, or determining membership of your group, is crucial to science: the moniker ‘scientific’ is a stamp of epistemic quality or even authority. But gatekeeping in science is fraught with dangers. Gatekeepers must exclude bad science, science fraud and pseudoscience, while including the disagreeing viewpoints on which science thrives. This is a difficult tightrope, not least because gatekeeping is a human matter and can be influenced by biases such as groupthink. After spelling out these general tensions around gatekeeping in science, (...) we shed light on them with a case study from psychology. This concerns whether academic psychologists rightly or wrongly classify the applied-psychology framework of NLP (‘neuro-linguistic programming’) as unscientific and even pseudoscientific. This example of gatekeeping is particularly instructive because both the NLP community and the psychology community, we argue, make legitimate but also illegitimate moves. This case gives rise to several general insights about gatekeeping in science more generally. (shrink)

Accessible and elegant teachings from a well-loved and revered woman Zen teacher. “The truth and joy of this life is that we cannot change things as they are.” The import of those words can be found beautifully expressed in the work of the woman who spoke them, Katherine Thanas (1927–2012)—in her art, in her writing, and especially in her Zen teaching. Fearlessly direct and endlessly curious, Katherine’s understanding of Zen was inseparable from her affinity for the arts. She (...) was an MFA student studying painting with Richard Diebenkorn, the preeminent Californian abstract painter, when she met Shunryu Suzuki, author of Zen Mind, Beginner’s Mind, in the sixties. Soon thereafter she decided to drop painting to dedicate herself to Zen, which she did for the last forty years of her life. In these essential teachings taken from her dharma talks—which make up her only book—her love of art and literature shine through in her elegant prose and her vast references, from poets William Stafford and Naomi Shihab Nye to the Zen teachings of Dogen and Robert Aitken. Ranging on subjects from the practice of zazen to the meaning of life, Katherine urges us to “develop an insatiable appetite for inner awareness, to become proficient with this mind.” This slim volume is an important contribution by a well-loved and revered teacher. (shrink)

Learn to be responsible with Grover and your Sesame Street friends! Young readers will discover how to be a good helper to both themselves and those around them. Now in Spanish!

The work and ideas of Rudolf Laban, dancer, choreographer and seminal theoretician of movement and dance, have had a profound impact across a range of disciplines. This book explores this impact.

We articulate a view of natural kinds as complex universals. We do not attempt to argue for the existence of universals. Instead, we argue that, given the existence of universals, and of natural kinds, the latter can be understood in terms of the former, and that this provides a rich, flexible framework within which to discuss issues of indeterminacy, essentialism, induction, and reduction. Along the way, we develop a 'problem of the many' for universals.

Altruism is a well-studied phenomenon in the social sciences, but online altruism has received relatively little attention. In this article, we examine several cases of online altruism, and analyse the key characteristics of the phenomenon, in particular comparing and contrasting it against models of traditional donor behaviour. We suggest a novel definition of online altruism, and provide an in-depth, mixed-method study of a significant case, represented by the r/Assistance subreddit. We argue that online altruism can be characterized by its differing (...) experiences compared to traditional giving, from a giver’s point of view, and unique mechanisms and actions made possible by the internet. These findings explain why people give to anonymous strangers online and provide a new perspective on altruism that is important in building a more altruistic internet and society. (shrink)

In this chapter I outline some metaphysical views about time, and about persistence, and discuss how they can help us clarify our thinking about life and death.

The main goal of publicly funded biomedical research is to generate social value through the creation and application of knowledge that can improve the well-being of current and future people. Prioritising research with the greatest potential social value is crucial for good stewardship of limited public resources and ensuring ethical involvement of research participants. At the National Institutes of Health (NIH), peer reviewers hold the expertise and responsibility for social value assessment and resulting prioritisation at the project level. However, previous (...) research has shown that peer reviewers place more emphasis on a study’s methods (‘Approach’) than on its potential social value (best approximated by the criterion of ‘Significance’). Lower weighting of Significance may be due to reviewers’ views on the relative importance of social value, their belief that social value is evaluated at other stages of the research priority-setting process or the lack of guidance on how to approach the challenging task of assessing expected social value. The NIH is currently revising its review criteria and how these criteria contribute to overall scores. To elevate the role of social value in priority setting, the agency should support empirical research on how peer reviewers approach the assessment of social value, provide more specific guidance for reviewing social value and experiment with alternative reviewer assignment strategies. These recommendations would help ensure that funding priorities align with the NIH’s mission and the obligation of taxpayer-funded research to contribute to the public good. (shrink)

Dialogue, as a philosophical form, enables the exploration of the conditions, limits, and consequences of understanding arguments. Two philosophers who undertook to write dialogues—Plato and Heidegger—feature moments in philosophical conversation in which understanding, on its own, fails to convince an interlocutor of an argument. In this article, I examine the philosophical stakes of the collisions which unfold in Plato’s Gorgias, between Socrates and Callicles, and in Heidegger’s “Triadic Conversation,” between the Guide and the Scientist. Plato’s Socrates is ostensibly unsuccessful in (...) persuading Callicles to adopt his position while Heidegger’s Guide is able to support the Scientist in learning a new way of thinking. I argue that it is Heidegger’s attention to feeling as a philosophically significant phenomenon which can overcome trans-rational resistance which may persist even after truth has been determined. (shrink)

The essays in Object-Oriented Feminism explore OOF: a feminist intervention into recent philosophical discourses--like speculative realism, object-oriented ontology (OOO), and new materialism--that take objects, things, stuff, and matter as primary. Object-oriented feminism approaches all objects from the inside-out position of being an object too, with all of its accompanying political and ethical potentials. This volume places OOF thought in a long history of ongoing feminist work in multiple disciplines. In particular, object-oriented feminism foregrounds three significant aspects of feminist thinking in (...) the philosophy of things: politics, engaging with histories of treating certain humans (women, people of color, and the poor) as objects; erotics, employing humor to foment unseemly entanglements between things; and ethics, refusing to make grand philosophical truth claims, instead staking a modest ethical position that arrives at being "in the right" by being "wrong." Seeking not to define object-oriented feminism but rather to enact it, the volume is interdisciplinary in approach, with contributors from a variety of fields, including sociology, anthropology, English, art, and philosophy. Topics are frequently provocative, engaging a wide range of theorists from Heidegger and Levinas to Irigaray and Haraway, and an intriguing diverse array of objects, including the female body as fetish object in Lolita subculture; birds made queer by endocrine disruptors; and truth claims arising in material relations in indigenous fiction and film. Intentionally, each essay can be seen as an "object" in relation to others in this collection. Contributors: Irina Aristarkhova, University of Michigan; Karen Gregory, University of Edinburgh; Marina Gržinic, Slovenian Academy of Science and Arts; Frenchy Lunning, Minneapolis College of Art and Design; Timothy Morton, Rice University; Anne Pollock, Georgia Tech; Elizabeth A. Povinelli, Columbia University; R. Joshua Scannell, CUNY Graduate Center; Adam Zaretsky, VASTAL. (shrink)

Unlike most fiction writers, Proust was trained in philosophy. In fact, he even considered writing a philosophical treatise instead of the novel we know so well. This hesitation about what form his writing should take still haunts his final choice of a novel, which is both philosophical, and yet, not philosophy. Take your pick of philosophers, from Plato to Nietzsche, and you can easily find an essay or even a book arguing that this particular philosopher most applies to Proust. But (...) as one plunges into the narrative that he finally wrote, one is struck by the fact that In Search of Lost Time feels nothing like what we often call a philosophical novel, or even, a novel of ideas. Instead, philosophical reflection lies in the shadows of his fictional world, a sort of parallel life that can be found in the underweave. (shrink)

The lifeworld of the classroom -- Getting deep : the integrative biology of teaching and learning -- Preparation for teaching : "what can they experience in class?" -- Teaching as improvisational jazz : "to go somewhere to answer a big question" -- Free to learn : a radical aspect of our approach -- Student experiences of other students : "all together in this space" -- Transcending the classroom : student reports of personal and professional change -- Messing up and messing (...) about : student needs and teachers' adaptation of our phenomenological approach -- The contribution of our existential phenomenological approach to higher education pedagogy : implications for theory, research, and practice. (shrink)

Over the past two decades, stories of world-ending catastrophe have featured prominently in film and television. Zombie apocalypses, climate disasters, alien invasions, global pandemics and dystopian world orders fill our screens-typically with a singular figure or tenacious group tasked with saving or salvaging the world. Why are stories of End Times crisis so popular with audiences? And why is the hero so often a white man who overcomes personal struggles and incredible obstacles to lead humanity toward a restored future? This (...) book examines the familiar trope of the hero and the recasting of contemporary anxieties in narratives like The Walking Dead, Snowpiercer and Mad Max: Fury Road. Some have familiar roots in Western cultural traditions yet many question popular assumptions about heroes and heroism to tell new and fascinating stories about race, gender and society and the power of individuals to change the world. (shrink)