A Non-Technical Introduction to Ethnomethodological Investigations of the Foundations of Mathematics through the Use of a Theorem of Euclidean Geometry* I ...

This paper introduces an anthropological approach to the foundations of mathematics. Traditionally, the philosophy of mathematics has focused on the nature and origins of mathematical truth. Mathematicians, however, treat mathematical arguments as determining mathematical truth: if an argument is found to describe a witnessably rigorous proof of a theorem, that theorem is considered—until the need for further examination arises—to be true. The anthropological question is how mathematicians, as a practical matter and as a matter of mathematical practice, make such determinations. (...) This paper looks first at the ways that the logic of mathematical argumentation comes to be realized and substantiated by provers as their own immediate, situated accomplishment. The type of reasoning involved is quite different from deductive logic; once seen, it seems to be endemic to and pervasive throughout the work of human theorem proving. A number of other features of proving are also considered, including the production of notational coherence, the foregrounding of proof-specific proof-relevant detail, and the structuring of mathematical argumentation. Through this material, the paper shows the feasibility and promise of a real-world anthropology of disciplinary mathematical practice. (shrink)

Suicidal Thoughts is a compilation of some of the most moving and insightful writing accomplished on the topic of suicide. It presents the thoughts and experiences of fifteen writers who have contemplated suicide-some on a professional level, others on a personal level, and a few, both personally and professionally. Through this collection, the reader is able to bear witness to the struggle between life and death and to the devastating aftermath of suicide. Suicidal Thoughts provides readers with a better understanding (...) of the reasons why some individuals give serious consideration to killing themselves. (shrink)

The increasingly popular idea that cinematic fictions can "do" philosophy raises some difficult questions. Who is actually doing the philosophizing? Is it the philosophical commentator who reads general arguments or theories into the stories conveyed by a film? Could it be the film-maker, or a group of collaborating film-makers, who raise and try to answer philosophical questions with a film? Is there something about the experience of films that is especially suited to the stimulation of worthwhile philosophical reflections? In the (...) first part of this book, Paisley Livingston surveys positions and arguments surrounding the cinema's philosophical value. He raises criticisms of bold theses in this area and defends a moderate view of film's possible contributions to philosophy. In the second part of the book he defends an intentionalist approach that focuses on the film-makers' philosophical background assumptions, sources, and aims. Livingston outlines intentionalist interpretative principles as well as an account of authorship in cinema. The third part of the book exemplifies this intentionalist approach with reference to the work of Ingmar Bergman. Livingston explores the connection between Bergman's work and the Swedish director's primary philosophical source-a treatise in philosophical psychology authored by the Finnish philosopher, Eino Kaila. Bergman proclaimed that reading this book was a tremendous philosophical experience for him and that he "built on this ground." With reference to materials in the newly created Ingmar Bergman archive, Livingston shows how Bergman took up Kaila's topics in his cinematic explorations of motivated irrationality, inauthenticity, and the problem of self-knowledge. (shrink)

In this book, Livingston develops the political implications of formal results obtained over the course of the twentieth century in set theory, metalogic, and computational theory. He argues that the results achieved by thinkers such as Cantor, Russell, Godel, Turing, and Cohen, even when they suggest inherent paradoxes and limitations to the structuring capacities of language or symbolic thought, have far-reaching implications for understanding the nature of political communities and their development and transformation. Alain Badiou's analysis of logical-mathematical structures (...) forms the backbone of his comprehensive and provocative theory of ontology, politics, and the possibilities of radical change. Through interpretive readings of Badiou's work as well as the texts of Giorgio Agamben, Jacques Lacan, Jacques Derrida, Gilles Deleuze, and Ludwig Wittgenstein, Livingston develops a formally based taxonomy of critical positions on the nature and structure of political communities. These readings, along with readings of Parmenides and Plato, show how the formal results can transfigure two interrelated and ancient problems of the One and the Many: the problem of the relationship of a Form or Idea to the many of its participants, and the problem of the relationship of a social whole to its many constituents. (shrink)

Introduction -- Sanctioning models : theories and their scope -- Methodology for a virtual world -- A tale of two methods -- When theories shake hands -- Models of climate : values and uncertainties -- Reliability without truth -- Conclusion.

Consider the following three claims. (i) There are no truths of the form ‘p and ~p’. (ii) No one holds a belief of the form ‘p and ~p’. (iii) No one holds any pairs of beliefs of the form {p, ~p}. Irad Kimhi has recently argued, in effect, that each of these claims holds and holds with metaphysical necessity. Furthermore, he maintains that they are ultimately not distinct claims at all, but the same claim formulated in different ways. I find (...) his argument suggestive, if not entirely transparent. I do think there is at least an important kernel of truth even in (iii), and that (i) ultimately explains what’s right about the other two. Consciousness of an impossibility makes belief in the obtaining of the corresponding state of affairs an impossibility. Interestingly, an appreciation of this fact brings into view a novel conception of inference, according to which it consists in the consciousness of necessity. This essay outlines and defends this position. A central element of the defense is that it reveals how reasoners satisfy what Paul Boghossian calls the Taking Condition and do so without engendering regress. (shrink)

Concepts: Core Readings traces the develoment of one of the most active areas of investigation in cognitive science. This comprehensive volume brings together the essential background readings on concepts from philosophy, psychology, and linguistics, while providing a broad sampling of contemporary research. The first part of the book centers around the fall of the Classical Theory of Concepts in the face of attacks by W.V.O. Quine, Ludwig Wittgenstein, Eleanor Rosch, and others, emphasizing the emergence and development of the Prototype Theory (...) and the controversies it spurred. The second part surveys a broad range of contemporary theories—Neoclassical Theories, the Prototype Theory, the Theory-Theory, and Conceptual Atomism. (shrink)

I argue that to have an attitude is, primarily, (1.) to have a dispositional profile that matches, to an appropriate degree and in appropriate respects, a stereotype for that attitude, typically grounded in folk psychology, and secondarily, (2.) in some cases also to meet further stereotypical attitude-specific conditions. To have an attitude, on the account I will recommend here, is mainly a matter of being apt to interact with the world in patterns that ordinary people would regard as characteristic of (...) having that attitude. I contrast this view with alternative views that treat having an attitude as a matter of possessing some particular internally stored representational content or some other "deep" structural feature. (shrink)

Rationalization, in our intended sense of the term, occurs when a person favors a particular conclusion as a result of some factor (such as self-interest) that is of little justificatory epistemic relevance, if that factor then biases the person’s subsequent search for, and assessment of, potential justifications for the conclusion. Empirical evidence suggests that rationalization is common in people’s moral and philosophical thought. We argue that it is likely that the moral and philosophical thought of philosophers and moral psychologists is (...) also pervaded by rationalization. Moreover, although rationalization has some benefits, overall it would be epistemically better if the moral and philosophical reasoning of people, including professional academics, were not as heavily influenced by rationalization as it likely is. We discuss the significance of our arguments for cognitive management and epistemic responsibility. (shrink)

Examines factors, such as compatibility and conduct, with regard to knowing how to pick the right person to love while also learning how to give and receive love to improve the stability of a meaningful relationship.

We present evidence that mainstream Anglophone philosophy is insular in the sense that participants in this academic tradition tend mostly to cite or interact with other participants in this academic tradition, while having little academic interaction with philosophers writing in other languages. Among our evidence: In a sample of articles from elite Anglophone philosophy journals, 97% of citations are citations of work originally written in English; 96% of members of editorial boards of elite Anglophone philosophy journals are housed in majority-Anglophone (...) countries; and only one of the 100 most-cited recent authors in the Stanford Encyclopedia of Philosophy spent most of his career in non-Anglophone countries writing primarily in a language other than English. In contrast, philosophy articles published in elite Chinese-language and Spanish-language journals cite from a range of linguistic traditions, as do non-English-language articles in a convenience sample of established European-language journals. We also find evidence that work in English has more influence on work in other languages than vice versa and that when non-Anglophone philosophers cite recent work outside of their own linguistic tradition it tends to be work in English. (shrink)

The Harvard Graduate School of Education convocation speech, praised as "powerful" by Hillary Rodham Clinton in Teen Vogue and "inspired" by Justin Timberlake, that has offered inspiration to millions around the world In Lift Off, Donovan Livingston offers a groundbreaking rallying call about education, race, and the true nature of equality. In emotionally charged spoken-word poetry, Livingston shares a message of hope and hard truths, declaring that education can become an equalizer only if we first acknowledge the inequality (...) and racial divides holding back America's future. Livingston is dedicated to helping young people reach their celestial potential, and in his galvanizing commencement address, now adapted for the first time to the page, he calls on us to raise our voices on behalf of all children, as their brighter futures can light up our own. Together, we can lift off! Praise for Donovan Livingston "Donovan Livingston gave a powerful speech at the Harvard Graduate School of Education's convocation. In a spoken-word poem, he shared his struggles in life and urged his fellow graduates to fight inequality and inspire students. Donovan's message hit home. [He is] part of a rising generation that's. standing up to some of the biggest challenges in the world today."--Hillary Rodham Clinton, Teen Vogue "These are the words, and Donovan Livingston's voice and spirit are the music, but in any form, this rare graduation speech tells us that learning is full of bias yet can lead us to the stars."--Gloria Steinem "Donovan Livingston's Lift Offis our youth's gift to us. In this joyous young man's voice is the promise of tomorrow."--James McBride. (shrink)

Unconscious logical inference seems to rely on the syntactic structures of mental representations (Quilty-Dunn & Mandelbaum 2018). Other transitions, such as transitions using iconic representations and associative transitions, are harder to assimilate to syntax-based theories. Here we tackle these difficulties head on in the interest of a fuller taxonomy of mental transitions. Along the way we discuss how icons can be compositional without having constituent structure, and expand and defend the “symmetry condition” on Associationism (the idea that associative links and (...) transitions are perfectly symmetric). In the end, we show how a BIT (“bare inferential transition”) theory can cohabitate with these other non-inferential mental transitions. (shrink)

Introduction.--Epicurus.--The cynics.--The stoics: Epictetus.--The stoics: Marcus Aurelius.--A philosophic missionary: Dion Chrysostom.--Plutarch.--A popular preacher: Maximus Tyrius.--A theosophist: Apollonius of Tyana.--The sophists: Polemon and Herodes Atticus.--A prince of neurotics: Aelius Aristodes.--Lucian.--Epilogue.

Philosophers tend to be pretty impressed by human self-knowledge. Descartes (1641/1984) thought our knowledge of our own stream of experience was the secure and indubitable foundation upon which to build our knowledge of the rest of the world. Hume – who was capable of being skeptical about almost anything – said that the only existences we can be certain of are our own sensory and imagistic experiences (1739/1978, p. 212). Perhaps the most prominent writer on self-knowledge in contemporary philosophy is (...) Sydney Shoemaker. The central aim of much of his work has been to show that certain sorts of error are impossible (1963, 1988, 1994). David Chalmers has likewise attempted to show that, for a suitably constrained class of beliefs about one’s own consciousness, error is impossible (2003, sec. 4.1). Even philosophers most of the community thinks of as pessimistic about self-knowledge of consciousness seem to me, really, to be fairly optimistic. Paul Churchland, famous for his disdain of ordinary people’s knowledge about the mind, compares the accuracy of introspection to the accuracy of sense perception – pretty good, presumably, about medium-sized, nearby matters (1985, 1988). Dan Dennett, often cited as a pessimist about introspective report, actually says that we can come close to infallibility when charitably interpreted (2002). The above references concern knowledge of the stream of conscious experience, but philosophers have also tended to be impressed with our self-knowledge of our attitudes, such as our beliefs and desires. Consider this: Although I can be wrong about its being sunny outside, I can’t in the same way be wrong, it seems, about the fact that I think it’s sunny outside. Some.. (shrink)

In On Empirically Equivalent Systems of the World from 1975, Quine formulated a thesis of underdetermination roughly to the effect that every scientific theory has an empirically equivalent but logically incompatible rival, one that cannot be discarded merely as a terminological variant of the former. For Quine, the truth of this thesis was an open question. If true, some would argue that it undermines any belief in scientific theories that is based purely on their empirical success. But despite its potential (...) significance, surprisingly little has been done by way of establishing or refuting it. My aim is to establish the thesis for as large a class of theories as possible. Under various precisifications of the concepts involved, I show that it holds for all consistent and recursively axiomatizable theories that postulate infinitely many theoretical entities. (shrink)

On an intellectualist approach to belief, the intellectual endorsement of a proposition (such as “The working poor deserve as much respect as the handsomely paid”) is sufficient or nearly sufficient for believing it. On a pragmatic approach to belief, intellectual endorsement is not enough. Belief is behaviorally demanding. To really, fully believe, you must also “walk the walk.” This chapter argues that the pragmatic approach is preferable on pragmatic grounds: It rightly directs our attention to what matters most in thinking (...) about belief. (shrink)

Eric Martin and Daniel N. Osherson present a theory of inductive logic built on model theory. Their aim is to extend the mathematics of Formal Learning Theory to a more general setting and to provide a more accurate image of empirical inquiry. The formal results of their study illuminate aspects of scientific inquiry that are not covered by the commonly applied Bayesian approach.

Can large language models produce expert‐quality philosophical texts? To investigate this, we fine‐tuned GPT‐3 with the works of philosopher Daniel Dennett. To evaluate the model, we asked the real Dennett 10 philosophical questions and then posed the same questions to the language model, collecting four responses for each question without cherry‐picking. Experts on Dennett's work succeeded at distinguishing the Dennett‐generated and machine‐generated answers above chance but substantially short of our expectations. Philosophy blog readers performed similarly to the experts, while ordinary (...) research participants were near chance distinguishing GPT‐3's responses from those of an “actual human philosopher”. (shrink)

This chapter contains sections titled: Intention Authorial Intention Varieties of Intentionalism The Utterance Model Hypothetical Intentionalism Hypothetical Intentionalism and Actualist Intentionalism Compared Success Conditions and the Dilemma Argument.

Once again available in paperback, Plato is the first half of Eric Voegelin's Plato and Aristotle, the third volume of his five-volume Order and History, which ...

In this book, Eric Havelock presents a challenging account of the development of the idea of justice in early Greece, and particularly of the way justice changed as Greek oral tradition gradually gave way to the written word in a literate society. He begins by examining the educational functions of poets in preliterate Greece, showing how they conserved and transmitted the traditions of society, a thesis adumbrated in his earlier book Preface to Plato. Homer, he demonstrates, has much to (...) say about justice, but since that idea is nowhere in the epics directly stated or expressed, it must be deduced from the speech and actions of the characters. Havelock's careful reading of the Iliad and the Odyssey is original and revealing; it sheds light both on Homeric notions of justice and on the Archaic Greek society depicted in the poems. As Havelock continues his inquiry from Hesiod to Aeschylus, his findings become more complex. The oral Greek world shades into a literate one. Words lose some kinds of meanings, gain others, and steadily become more suited to the conceptualization that Plato strove for and achieved. This evolution of language itself, Havelock shows, was one of the principal accomplishments of the Greek world. Lucidly written and forcefully argued, this book is a major contribution to our knowledge of ancient Greece--its politics, philosophy, and literature, from Homer to Plato. (shrink)

One big question in biology is what life is, but another is how life divides into living things. This is the problem of biological individuality. Proposed statements of the problem have been vague and incomplete. And proposed theories of biological individuality are not detailed enough to solve the problem even if they are correct. The root of these troubles is that their authors have not recognized the metaphysical claims presupposed in their statement of the problem. Making these claims explicit will (...) enable us to see better what the problem is and what form a solution to it would need to have. (shrink)

Trust me: my chair isn't big enough for two. You may doubt that every rational, conscious being is a person; perhaps there are beings that mistakenly believe themselves to be people. If so, read ‘rational, conscious being’ or the like for 'person'.

Preface -- Introduction -- How to value democracy -- Paper stones, the ethics of participation -- Philosophers-citizens -- Superdeliberators -- What is it like to be a citizen? -- Democracy's ethics of belief -- The division of democratic labor -- Representing principles -- Democratic complicity -- Not in my name, macrodemocratic design.

In his work on Wu wei, Edward Slingerland argues that the classical Chinese ideal is an inherently paradoxical concept that is first and foremost spiritual and political only secondarily. Through a close reading of the Dao de Jing, the first major classical text to substantially deploy and develop the concept, I argue that Wu wei isn’t inherently paradoxical and that this is seen precisely when it is viewed in terms of its political primacy. On my reading, the emergence of Wu (...) wei in the Daoist canon is an equilibrating moment of political mediation between the highly intentionalized sphere of human pursuits and the purposeless fluidity and boundless flux of the natural world. Wu wei here takes on a different aspect—mystery rather than paradox—when considered within a form of political collectivity in which the intentional and the innate, purposive and natural are constantly juxtaposed and contending with one another. (shrink)

The advanced division of cognitive labor generates a set of challenges and opportunities for professional philosophers. In this paper, I re-characterize the nature of synthetic philosophy in light of these challenges and opportunities. In part 1, I’ll remind you of the centrality of the division of labor to Plato’s Republic, and why this is especially salient in his banishment of the poets from his Kallipolis. I’ll then focus on the significance of an easily overlooked albeit rather significant character, Damon, mentioned (...) in that dialogue. I’ll argue that if we take the relationship between Socrates and Damon seriously, we’ll notice that in modeling imperfect polities, Plato inscribes Socrates within the advanced division of cognitive labor who defers to Damon as an expert on a key feature of the art of government. In fact, I’ll argue that in Republic, Plato offers us at least two ways to conceptualize philosophy’s relationship to the sciences, and that he alerts us to the social significance of this. In part 2, I’ll re-introduce my conceptualization of synthetic philosophy and restate it. Back in 2019 I published a short paper on it that went viral and was immediately used by others. Reflection on their use instructed me about an ambiguity in my position. Building on the material in parts 1-2, in part 3, I’ll contrast my account with a number of ways that Philip Kitcher has conceptualized synthetic philosophy in order to make more precise the version promoted here. (shrink)

How diverse is philosophy? In this paper we explore recent data on the racial, ethnic, and gender diversity of philosophy students and faculty in the United States. We have found that women are underrepresented in philosophy at all levels from first-year intention to major through senior faculty. The past four years have seen an increase in the percentage of women philosophy majors at the undergraduate level, but it remains to be seen if this recent increase in the percentage of women (...) will eventually also show at more advanced stages. Temporal trends since 2000 also show substantial increases in the racial and ethnic diversity of philosophy majors at all levels of education from first-year undergraduate through PhD, with substantial declines in the percentage of non-Hispanic White philosophy majors and substantial increases in all other commonly measured racial/ethnic groups except for Native American / Alaska Native. Despite generally increasing diversity, people who identify as Hispanic (any race), or non-Hispanic Native American, Alaska Native, or Black remain substantially underrepresented in philosophy at all levels compared to their presence in the U.S. population, and in some cases also as compared to other majors. (shrink)

This chapter surveys the origins and development in Greek philosophy of the thought that living well requires living as a citizen of the world.

Aristotle's treatment of the choice between the political and contemplative lives (in EN I 5 and X 7-8) can seem awkward. To offer one explanation of this, I argue that when he invokes self-sufficience (autarkeia) as a criterion for this choice, he appeals to two different and incompatible specifications of "lacking nothing." On one specification, suitable to a human being living as a political animal and thus seeking to realize his end as an engaged citizen of a polis, a person (...) lacks nothing by possessing a wide range of goods that directly require other people. On the other, more suitable to a god or a beast, a person lacks nothing by having no need of goods that directly require other people. The ambiguity of this criterion renders the choice between the political and contemplative lives difficult. (shrink)