Many philosophers have become worried about the use of standard real numbers for the probability function that represents an agent's credences. They point out that real numbers can't capture the distinction between certain extremely unlikely events and genuinely impossible ones—they are both represented by credence 0, which violates a principle known as “regularity.” Following Skyrms 1980 and Lewis 1980, they recommend that we should instead use a much richer set of numbers, called the “hyperreals.” This essay argues that this popular (...) view is the result of two mistakes. The first mistake, which this essay calls the “numerical fallacy,” is to assume that a distinction that isn't represented by different numbers isn't represented at all in a mathematical representation. In this case, the essay claims that although the real numbers do not make all relevant distinctions, the full mathematical structure of a probability function does. The second mistake is that the hyperreals make too many distinctions. They have a much more complex structure than credences in ordinary propositions can have, so they make distinctions that don't exist among credences. While they might be useful for generating certain mathematical models, they will not appear in a faithful mathematical representation of credences of ordinary propositions. (shrink)

In a series of papers, Don Fallis points out that although mathematicians are generally unwilling to accept merely probabilistic proofs, they do accept proofs that are incomplete, long and complicated, or partly carried out by computers. He argues that there are no epistemic grounds on which probabilistic proofs can be rejected while these other proofs are accepted. I defend the practice by presenting a property I call ‘transferability’, which probabilistic proofs lack and acceptable proofs have. I also consider what this (...) says about the similarities between mathematics and, on the one hand natural sciences, and on the other hand philosophy. (shrink)

Frankfurt gave an account of “bullshit” as a statement made without regard to truth or falsity. Austin argued that a large amount of language consists of speech acts aimed at goals other than truth or falsity. We don't want our account of bullshit to include all performatives. I develop a modification of Frankfurt's account that makes interesting and useful categorizations of various speech acts as bullshit or not and show that this account generalizes to many other kinds of act as (...) well. I show that this illuminates some of Graeber's classification of “bullshit jobs,” though it doesn't fully agree with it. (shrink)

Mathematicians only use deductive proofs to establish that mathematical claims are true. They never use inductive evidence, such as probabilistic proofs, for this task. Don Fallis (1997 and 2002) has argued that mathematicians do not have good epistemic grounds for this complete rejection of probabilistic proofs. But Kenny Easwaran (2009) points out that there is a gap in this argument. Fallis only considered how mathematical proofs serve the epistemic goals of individual mathematicians. Easwaran suggests that deductive proofs might be (...) epistemically superior to probabilistic proofs because they are transferable. That is, one mathematician can give such a proof to another mathematician who can then verify for herself that the mathematical claim in question is true without having to rely at all on the testimony of the first mathematician. In this paper, I argue that collective epistemic goals are critical to understanding the methodological choices of mathematicians. But I argue that the collective epistemic goals promoted by transferability do not explain the complete rejection of probabilistic proofs. (shrink)

In December 2006, dons at Oxford University caused turmoil by rejecting a set of governance reforms that were championed by their own vice-chancellor. This book is a response to these events, addressed in large part to Oxford's funders - government and benefactors - and is useful reading for those with an interest in the future of this university.Sir Anthony Kenny was formerly Master of Balliol College, Oxford, and president of the British Academy. He is the author of many books (...) on philosophy and over 40 years has held almost every kind of post in Oxford from graduate student to pro-vice-chancellor. Robert Kenny is managing director of a consulting firm. (shrink)

The historical context of the philosophical work of St. Thomas Aquinas, by D. Knowles.--Form and existence, by P. Geach.--Categories, by H. McCabe.--Analogy as a rule of meaning for religious language, by J. F. Ross.--Nominalism, by P. Geach.--St. Thomas' doctrine of necessary being, by P. Brown.--The proof ex motu for the existence of God; logical analysis of St. Thomas' arguments, by J. Salamucha.--Infinite causal regression, by P. Brown.--St. Thomas Aquinas and the language of total dependence, by J. N. Deck.--Divine foreknowledge and (...) human freedom, by A. Kenny.--Intellect and imagination in Aquinas, by A. Kenny.--The immortality of the soul, by H. McCabe.--Aquinas on intentionality, by P. Sheehan.--The scholastic theory of moral law in the modern world, by A. Donagan.--The first principle of practical reason, by G. G. Grisez. (shrink)

We introduce a family of rules for adjusting one's credences in response to learning the credences of others. These rules have a number of desirable features. 1. They yield the posterior credences that would result from updating by standard Bayesian conditionalization on one's peers' reported credences if one's likelihood function takes a particular simple form. 2. In the simplest form, they are symmetric among the agents in the group. 3. They map neatly onto the familiar Condorcet voting results. 4. They (...) preserve shared agreement about independence in a wide range of cases. 5. They commute with conditionalization and with multiple peer updates. Importantly, these rules have a surprising property that we call synergy - peer testimony of credences can provide mutually supporting evidence raising an individual's credence higher than any peer's initial prior report. At first, this may seem to be a strike against them. We argue, however, that synergy is actually a desirable feature and the failure of other updating rules to yield synergy is a strike against them. (shrink)

This book uses literary examples makes the case for understanding law and the legal system through the lens of philosophical pragmatism. For pragmatists, experience is everything; and they argue against understanding the world through any abstraction, maintaining that it is simply too complicated to fit into categories or theories. Legal pragmatism is the application of this philosophy to the making of law, the practice of law, and the practice of judging. This book maintains that the best way to understand legal (...) pragmatism is not through bare theoretical exegesis but through literature; that is, through stories that cast light on various pragmatic aspects of law. Engaging a range of literary sources, including works by Seamus Heaney, Hilary Mantel, Harper Lee and Ian McEwan, the book makes a compelling case for the contemporary relevance of pragmatism. This book will appeal to legal theorists, law and literature/humanities scholars; readers of literary criticism; and those with interests in pragmatist philosophy. (shrink)

Montesquieu, Hume, Voltaire, Diderot, Smith, Gibbon, Bentham... These are among the great thinkers who contributed to the dramatic developments in religion, science, and philosophy that we now call the Enlightenment. Written by a world authority, this brief history of the Enlightenment concludes with a perceptive assessment of the cultural, religious, ethical, and political dimensions of its legacy.

This is an edited collection that is intended both as a primer for core concepts and principles in research ethics and as an in-depth exploration of the contextualisation of these principles in practice across key disciplines.

Maureen Junker-Kenny offers a systematic overview of the discipline of theological ethics in the variety of its approaches, which draw upon different philosophical traditions and theological visions in treating its sources. Part One examines the four sources of theological ethics: the Bible, tradition, philosophical accounts of the human, and the individual human sciences. Part Two compares five frameworks in English- and German-speaking theological ethics, based on virtue, worship, natural law, autonomy, and feminist analyses. Part Three compares three types of (...) vision - integralist, praxis-oriented, and discourse-focused -, and Junker-Kenny concludes by situating the investigation of the discipline within contemporary philosophical and theological exchanges on religion in the public sphere. The book provides a framework in which students can locate the specific use of core ethical concepts and argumentations, comparing how each approach relates to the Bible, to historical reason, theological thought, practical self-understandings and interdisciplinary perspectives on ethics in a scientific and technological culture. In an age of globalisation where different cultures, religions, lifestyles and values meet in the workplace, in schools, and in public spaces shaped by religious and cultural traditions, it is necessary to foster the ability to create possibilities and venues for dialogue between different self-understandings. Analysing the variety of approaches to theological ethics helps articulate different visions of what constitutes a fulfilled life, of how the moral vocation of each human being can be supported, and of the role of the Christian faith for ethics. (shrink)

In 1998, the first edition of Anthony Kenny's comprehensive history of Western philosophy was published, to be met with immediate praise and critical acclaim. As the first book since Bertrand Russell's 1945 A History of Western Philosophy to offer a concise single-author review of the complete history of philosophy from the pre-Socratics to the modern masters of the 20th century, Kenny's work fills a critical gap in the modern philosophy reading list and offers valuable guidance for the general (...) reader of philosophy—an ideal starting point for anyone with an interest in great thinkers and the family lines of philosophical evolution. Widely considered to be one of the most thorough and accessible historical reviews in philosophy, An Illustrated Brief History of Western Philosophy has earned an estimable and distinctive reputation, both for the compelling writing style of Anthony Kenny, one of the most respected and accomplished living philosophers, and for the rich collection of paintings, illustrations, maps, and photos included with every chapter to complement this review of 2,500 years of philosophical thought. Newly revised and expanded for a special 20th anniversary publication, the latest edition of An Illustrated Brief History of Western Philosophy contains all of Kenny's original writings on the history of Western philosophy from ancient to modern, along with new writings on the philosophy of the mid-20th century, covering important contributions from continental philosophers and philosophers of the post-Wittgenstein anglophone tradition, including the work of many women who have too often been neglected by the historical record. (shrink)

Throughout his long and distinguished career, Sir Anthony Kenny has encountered some of the most notable and influential leaders of the post-war world. In these brilliantly vivid vignettes Kenny offers telling and often unexpected insights into the achievements, flaws and foibles of sixty public figures—past and present—each of whom has contributed in decisive ways to British political, spiritual, and cultural heritage.

Original essays by leading philosophers of science explore the question of whether metaphysics can and should be naturalized--conducted as part of natural science.

Many philosophers have argued that "degree of belief" or "credence" is a more fundamental state grounding belief. Many other philosophers have been skeptical about the notion of "degree of belief", and take belief to be the only meaningful notion in the vicinity. This paper shows that one can take belief to be fundamental, and ground a notion of "degree of belief" in the patterns of belief, assuming that an agent has a collection of beliefs that isn't dominated by some other (...) collection in terms of the overall balance of truth and falsity that it could contain. (shrink)

According to proper functionalist theories of warrant, a belief is warranted only if it is formed by cognitive faculties that are properly functioning according to a good, truth-aimed design plan, one that is often thought to be specified either by intentional design or by natural selection. A formidable challenge to proper functionalist theories is the Swampman objection, according to which there are scenarios involving creatures who have warranted beliefs but whose cognitive faculties are not properly functioning, or are poorly designed, (...) or are not aimed at truth. In this paper, we draw lessons from cognitive science in order to develop a novel argument for the conclusion that the Swampman objection fails against proper functionalist theories of warrant. Our argument not only shows that the underlying, central intuition motivating Swampman-like scenarios is false but also motivates proper function as a necessary condition for warrant, thereby lending support to the claim that any theory of knowledge that lacks a proper function requirement is false. (shrink)

Cross-situational learning is a mechanism for learning the meaning of words across multiple exposures, despite exposure-by-exposure uncertainty as to the word's true meaning. We present experimental evidence showing that humans learn words effectively using cross-situational learning, even at high levels of referential uncertainty. Both overall success rates and the time taken to learn words are affected by the degree of referential uncertainty, with greater referential uncertainty leading to less reliable, slower learning. Words are also learned less successfully and more slowly (...) if they are presented interleaved with occurrences of other words, although this effect is relatively weak. We present additional analyses of participants’ trial-by-trial behavior showing that participants make use of various cross-situational learning strategies, depending on the difficulty of the word-learning task. When referential uncertainty is low, participants generally apply a rigorous eliminative approach to cross-situational learning. When referential uncertainty is high, or exposures to different words are interleaved, participants apply a frequentist approximation to this eliminative approach. We further suggest that these two ways of exploiting cross-situational information reside on a continuum of learning strategies, underpinned by a single simple associative learning mechanism. (shrink)

The study of social norms sprawls across all of the social sciences but the the concept lacks a unified conception and formal theory. We synthesize an account that can be applied generally, at the social scale of analysis, and can be applied to empirical evidence generated in field and lab experiments. More specifically, we provide new analysis on representing norms for application in empirical political science, and in parts of economics that do not follow the recent trend among some behavioral (...) economists to build models of the cognitive and motivational states of individuals taken “one at a time”. Foundational sources for our project are Bicchieri (2006, 2017), Kuran (1995), and Stirling (2012, 2016). From Bicchieri take that a norm exists in a social structure when a significant networked subset of individuals share descriptive and injunctive expectations that it regulates their interactions. From Kuran we take the insight that prevailing norms may come to be widely disliked by participants in networks but survive because norm suppress public displays of disenchantment. From Stirling we apply conditional game theory (CGT) to provide the technical resources for building our model of a norm-regulated social interaction. The example we use is a multi-player Investment/Trust Game. (shrink)

Expected accuracy arguments have been used by several authors (Leitgeb and Pettigrew, and Greaves and Wallace) to support the diachronic principle of conditionalization, in updates where there are only finitely many possible propositions to learn. I show that these arguments can be extended to infinite cases, giving an argument not just for conditionalization but also for principles known as ‘conglomerability’ and ‘reflection’. This shows that the expected accuracy approach is stronger than has been realized. I also argue that we should (...) be careful to distinguish diachronic update principles from related synchronic principles for conditional probability. (shrink)

Smith gives an excellent overview on research in language evolution, in which he discusses several recent models of how linguistic systems and the cognitive capacities involved in language learning may have co‐evolved. He illustrates how combined pressures on language learning and communication/use produce compositionally structured languages. Once in place, a (culturally transmitted) communication system creates new selection pressures on the capacity for acquiring these systems.

Bayesianism is a collection of positions in several related fields, centered on the interpretation of probability as something like degree of belief, as contrasted with relative frequency, or objective chance. However, Bayesianism is far from a unified movement. Bayesians are divided about the nature of the probability functions they discuss; about the normative force of this probability function for ordinary and scientific reasoning and decision making; and about what relation (if any) holds between Bayesian and non-Bayesian concepts.

To the extent that we have reasons to avoid these “bad B -properties”, these arguments provide reasons not to have an incoherent credence function b — and perhaps even reasons to have a coherent one. But, note that these two traditional arguments for probabilism involve what might be called “pragmatic” reasons (not) to be (in)coherent. In the case of the Dutch Book argument, the “bad” property is pragmatically bad (to the extent that one values money). But, it is not clear (...) whether the DBA pinpoints any epistemic defect of incoherent agents. The same can be said for Representation Theorem arguments, since they involve the structure of an agent’s preferences. (shrink)

Naive versions of decision theory take probabilities and utilities as primitive and use expected value to give norms on rational decision. However, standard decision theory takes rational preference as primitive and uses it to construct probability and utility. This paper shows how to justify a version of the naive theory, by taking dominance as the most basic normatively required preference relation, and then extending it by various conditions under which agents should be indifferent between acts. The resulting theory can make (...) all the decisions of classical expected utility theory, plus more in cases where expected utilities are infinite or undefined. Although the theory requires similarly strong assumptions to classical expected utility theory, versions of the theory can be developed with slightly weaker assumptions, without having to prove a new representation theorem for the weaker theory. This alternate foundation is particularly useful if probability is prior to preference, as suggested by the recent program to base probabilism on accuracy and alethic considerations rather than pragmatic ones. (shrink)

Bill D'Alessandro talks to Kenny Easwaran about fractal music, Zoom conferences, being a good referee, teaching in math and philosophy, the rationalist community and its relationship to academia, decision-theoretic pluralism, and the city of Manhattan, Kansas.

In the first paper, I discussed the basic claims of Bayesianism (that degrees of belief are important, that they obey the axioms of probability theory, and that they are rationally updated by either standard or Jeffrey conditionalization) and the arguments that are often used to support them. In this paper, I will discuss some applications these ideas have had in confirmation theory, epistemol- ogy, and statistics, and criticisms of these applications.

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Rhetoric 36.4 (2003) 379-383 [Access article in PDF] Husserl at the Limits of Phenomenology: Including Texts by Edmund Husserl. Maurice Merleau-Ponty. Ed. Leonard Lawlor with Bettina Bergo. Trans. Leonard Lawlor. Evanston, IL: Northwestern University Press, 2002. Pp. 192. $19.95 pbk. The most striking characteristic of this volume is the manner that it presents layers of interpretation to the reader, particularly in that the writing is not intended (...) as a postmodern fête, and has limited value as a hermeneutic enterprise. Ultimately the book's true contribution is the seventy-nine pages devoted to the translation and printing of lecture notes used by [End Page 379] Merleau-Ponty in a class he gave at College de France, shortly before his death. However, the explanation of why this is so will have to be withheld until the end of this review.The course that Merleau-Ponty gave was organized around three essays published by Edmund Husserl. These essays are included in the volume reviewed here and must be briefly dealt with, as they are the core of whatever thinking occurs within and around this book. Interesting essays all, they deal with three longstanding issues of philosophical debate. The first essay challenges the classical notion of a transcendent ideal. Husserl attempts to show, through an examination of geometry, that an ideal is first called into existence when it is called into the realm of human experience, and he does this without ever resorting to the quality of detached being that Plato attributes to ideals. Then, in his second essay, Husserl attempts to defeat modernist cosmology, arguing, against Galileo, that the earth is a fixed point in the universe. Finally, his third essay hearkens back to Heraclitus and Parmenides, examining how human experience is able to extract a sense of atemporal quiddity in a world that is constantly falling into a past. A reader might be baffled that an intellectual could make such claims, but they are made from within the framework of phenomenology, and, within this paradigm as Husserl explains it, the claims he makes do not seem ridiculous at all. "The Origins of Geometry," "The Originary Ark, The Earth, Does Not Move," and "The World of the Living Present,"— these are the three essays that Merleau-Ponty forms his lecture course around. At sixty pages within this volume, they constitute one third of the text itself. For intellectual worth, I would say that these essays are the finest contribution in the text, but that claim is discounted because much of the essay material was already available in English translation. Nevertheless, it only makes sense to have it included in this volume in order to conveniently work back and forth between Merleau-Ponty's notes and Husserl's actual essays.However, that brings us to a significant problem within the text itself. If readers are like me, they will realize that it is often difficult to draw conclusions from the notes of others. Like secretarial shorthand, notes rely on a reader's ability to read both what has been written and what has been withheld in an expressive passage. There is no code that will allow us to recover what Merleau-Ponty recovered as he looked down on his podium at these notes and then raised his head to speak to his class. All that we have are the fragments, and they do not make a coherent argument, lacking both the clarity and the painstaking thoroughness that we find in books [End Page 380] such as The Phenomenology of Perception and The Visible and the Invisible. Certainly one cannot fault Merleau-Ponty for this—he did not write these notes for us, but for himself. His course might have been magnificent, even transcendent, but we will not know that from these fragments.I suppose it could be argued that the ambiguity inherent in such fragments liberates the text and opens it for some sort of radical hermeneutic exegesis; however, I sigh at the very thought of such an argument. Unless we intend to transform... (shrink)

Mental or computer simulation of cause and effect of certain behaviors is a recognized approach to changing one’s attitude or triggering an action. Meanwhile, psychology research results suggest that frequency of simulation may affect the corresponding persuasiveness. This paper argues that with always-on sensing and data-driven visualization technologies, interactive tangible systems can be designed to simulate hypothetical outcomes of real-life behaviors in everyday contexts, which repeatedly stimulate users’ imagination of behavioral consequences and thereby behavioral intentions. To investigate the effect, a (...) working prototype of Incingarette, including a smart ashtray in connection with a digital picture frame, was built. When the ashtray is used for smoking, the digital picture is incrementally covered by virtual dust. Field trials involved participants in five daily smoking sessions. Post-session surveys show increasingly stronger perceived causality between smoking and the simulated outcomes, increasingly more vivid mental imagery of consequences, and increasingly intense intention to reduce smoking. Results suggest that repeatedly presenting simulated outcomes cognitively linked to real-life behaviors can increase behavioral intentions. (shrink)

It is sometimes alleged that arguments that probability functions should be countably additive show too much, and that they motivate uncountable additivity as well. I show this is false by giving two naturally motivated arguments for countable additivity that do not motivate uncountable additivity.

The purpose of this article is to advance a new understanding of gender as a routine accomplishment embedded in everyday interaction. To do so entails a critical assessment of existing perspectives on sex and gender and the introduction of important distinctions among sex, sex category, and gender. We argue that recognition of the analytical independence of these concepts is essential for understanding the interactional work involved in being a gendered person in society. The thrust of our remarks is toward theoretical (...) reconceptualization, but we consider fruitful directions for empirical research that are indicated by our formulation. (shrink)

Fine has shown that assigning any value to the Pasadena game is consistent with a certain standard set of axioms for decision theory. However, I suggest that it might be reasonable to believe that the value of an individual game is constrained by the long-run payout of repeated plays of the game. Although there is no value that repeated plays of the Pasadena game converges to in the standard strong sense, I show that there is a weaker sort of convergence (...) it exhibits, and use this to define a notion of ‘weak expectation’ that can give values to the Pasadena game and many others, though not to all games that fail to have a strong expectation in the standard sense. CiteULike Connotea Del.icio.us What's this? (shrink)

Taking Joyce’s (1998; 2009) recent argument(s) for probabilism as our point of departure, we propose a new way of grounding formal, synchronic, epistemic coherence requirements for (opinionated) full belief. Our approach yields principled alternatives to deductive consistency, sheds new light on the preface and lottery paradoxes, and reveals novel conceptual connections between alethic and evidential epistemic norms.

I defend a causal reductionist account of the nature of rates of change like velocity and acceleration. This account identifies velocity with the past derivative of position and acceleration with the future derivative of velocity. Unlike most reductionist accounts, it can preserve the role of velocity as a cause of future positions and acceleration as the effect of current forces. I show that this is possible only if all the fundamental laws are expressed by differential equations of the same order. (...) Consideration of the continuity of time explains why the differential equations are all second order. This explanation is not available on non-causal or non-reductionist accounts of rates of change. Finally, I argue that alleged counterexamples to the reductionist account involving physically impossible worlds are irrelevant to an analysis of the properties that play a causal role in the actual world. 1 Background2 Grounding3 Causation4 The Proposal5 Why No Third Derivatives?6 Why Any Derivatives?7 Counterexamples? (shrink)

To answer the question of whether mathematics needs new axioms, it seems necessary to say what role axioms actually play in mathematics. A first guess is that they are inherently obvious statements that are used to guarantee the truth of theorems proved from them. However, this may neither be possible nor necessary, and it doesn’t seem to fit the historical facts. Instead, I argue that the role of axioms is to systematize uncontroversial facts that mathematicians can accept from a wide (...) variety of philosophical positions. Once the axioms are generally accepted, mathematicians can expend their energies on proving theorems instead of arguing philosophy. Given this account of the role of axioms, I give four criteria that axioms must meet in order to be accepted. Penelope Maddy has proposed a similar view in Naturalism in Mathematics, but she suggests that the philosophical questions bracketed by adopting the axioms can in fact be ignored forever. I contend that these philosophical arguments are in fact important, and should ideally be resolved at some point, but I concede that their resolution is unlikely to affect the ordinary practice of mathematics. However, they may have effects in the margins of mathematics, including with regards to the controversial “large cardinal axioms” Maddy would like to support. (shrink)

Paul Churchland does not open his latest book,The Engine of Reason, the Seat of the Soul, modestly. He begins by announcing, “This book is about you. And me … More broadly still, it is about every creature that ever swam, or walked, or flew over the face of the Earth” (p. 3). A few sentences later, he says, “Fortunately, recent research into neural networks … has produced the beginnings of a real understanding of how the biological brain works—a real understanding, (...) that is, of howyouwork, and everyone else like you” (p. 3). The implicit identification here of “me and you and everyone” with “the biological brain” might lead an uncharitable reader to view Churchland's book as “Eliminativism for the non-specialist,” that is, as an attempt to popularize the view of the mindbody problem with which, among his professional peers, Churchland has long been identified. However, I think that such a readingwouldbe uncharitable. He is, of course, frequently sceptical about the utility of folk psychology, but in this book he is much less concerned to disparage folk psychology as a failedtheory(by contrast with, for example, the arguments in Churchland 1979) than to urge the more modest view that the more we understand the brain, the better we shall be at helping those whose brains are damaged in ways that interfere seriously with the fulfilment of their lives. Hence, I am inclined to take him at his word when he says in the Preface that “The book is motivated first of all by sheer excitement over the new picture that is now emerging … [and] … also by the idea that this is information that the public needs to know” (p. xi). What excites Churchland so, at least overtly, is not the negative thesis he has defended elsewhere that folk-psychological terms fail to refer; his enthusiasm is mainly reserved for the positive thesis that minds are, essentially, interacting assemblies of recurrent neural networks. It is therefore this positive thesis, and Churchland's defence of it, that I will assess in the following discussion. (shrink)

This popular selection of Wittgenstein’s key writings has now been updated to include new material relevant to recent debates about the philosopher. Follows the evolution of Wittgenstein’s philosophical thought from the Tractatus Logico-Philosophicus through to the Philosophical Investigations. Excerpts are arranged by topic and introduce readers to all the central concerns of Wittgenstein’s philosophy. Now includes a new chapter on ‘Sense, Nonsense and Philosophy’ incorporating material relevant to recent debates about Wittgenstein.