There was a long tradition in philosophy according to which good reasoning had to be deductively valid. However, that tradition began to be questioned in the 1960’s, and is now thoroughly discredited. What caused its downfall was the recognition that many familiar kinds of reasoning are not deductively valid, but clearly confer justification on their conclusions. Here are some simple examples.

As his editor John L. Stanley points out, Georges Sorel was "that fascinating polymath." This volume, the third in his selected works in the English language published by Transaction, emphasizes Sorel's extraordinary writings in the philosophy of science, religion, culture, and art. For those who know Sorel only as author of Reflections on Violence, the present volume will come as a forceful reminder of the range and depth of Sorelian efforts to construct a world view. Sorel is throughout concerned (...) with the moral development of human beings. In this sense, his writings on politics are of a piece with his writings on religion, "facticity" of human history and society. Sorel's earliest writings were on religion, and key portions of that period are reflected in selections here. And he went on from there to study the sociology of science, the ways in which science fits into the cultural history of civilization and present day social relationships of industrial society. Stanley provides a profound framework based on two decades of close study and translation of Sorel's texts. He helps to explain how the partial theories of Sorel lead to holistic intellectual consequences, how the psychological method does not foreclose political activism, and how historical limits can be transformed against a background of aesthetics or considerations of taste. He shows that Sorel comes as a close as Manheim and Simmel and Durkheim to the creation of a modern social science--albeit he lacks the overall philosophical theorems of people like Marx and Weber. In Sorel we have a first-class mind at work. And in Stanley, we have a first-class analyst at work. Together, the volume adds up to something special for the political scientist, sociologist, art historian, theologian--in short for those to whom the ideal of a human science endures. John L. Stanley is professor of political science at the University of California at Riverside. He is the author of The Sociology of Virtue: The Political and Social Theories of Georges Sorel. He has written many articles and reviews on the history of European political theory. With his wife, Charlotte Stanley, he has been long engaged in the translation of the works of Georges Sorel. (shrink)

Pollock describes an exciting theory of rationality and its partial implementation in OSCAR, a computer system whose descendants will literally be persons.

For this second edition, the editors have returned to Austin's original lecture notes, amending the printed text where it seemed necessary.

This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of (...) Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincaré, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal. (shrink)

From unemployment to Brexit to climate change, capitalism is in trouble and ill-prepared to cope with the challenges of the coming decades. How did we get here? While contemporary economists and policymakers tend to ignore the political and social dimensions of capitalism, some of the great economists of the past - Adam Smith, Friedrich List, John Maynard Keynes, Joseph Schumpeter, Karl Polanyi and Albert Hirschman - did not make the same mistake. Leveraging their insights, sociologists John L. Campbell (...) and John A. Hall trace the historical development of capitalism as a social, political, and economic system throughout the twentieth and early twenty-first centuries. They draw comparisons across eras and around the globe to show that there is no inevitable logic of capitalism. Rather, capitalism's performance depends on the strength of nation-states, the social cohesion of capitalist societies, and the stability of the international system - three things that are in short supply today. (shrink)

Perkins, John L With his regular programmes on radio and television, newspaper columns and commentary, Waleed Aly has become Australia's favourite Muslim celebrity. He is intelligent, articulate and provides incisive analysis of political and social issues. Given this, it might have been expected that he could have applied the same quality of analysis in his book, People Like Us: How Arrogance is Dividing Islam and the West (2007); however this is not the case.

Princeton University Press, 1974. This book is out of print, but can be downloaded as a pdf file (5 MB).

Presenting an analytical and critical study of the contemporary adult educator, Paulo Freire, this book deals with all aspects of his thought, placing at the centre of consideration his educational philosophy.

Princeton University Press, 984. This book is out of print, but can be downloaded as a pdf file (3.9 MB).

It’s morning. You sit down at your desk, cup of coffee in hand, and prepare to begin your day. First, you turn on your computer. Once it is running, you check your e-mail. Having decided it is all spam, you trash it. You close the window on your e-mail program, but leave the program running so that it will periodically check the mail server to see whether you have new mail. If it finds new mail it will alert you by (...) playing a musical tone. Next you start your word processor. You have in mind to write a paper in moral philosophy about whether people who send spam deserve capital punishment. So you open a new window and type several paragraphs of text into it. You like what you wrote, so you save it, creating a file. Later, you have more thoughts about spam and capital punishment, so you open the file again and make some changes. Then it is time to go to class. You turn off your word processor, but leave your computer running so that your email program can collect your e-mail. This mundane sequence of events can seem philosophically puzzling when we think about it carefully. While in your word processor, you opened several windows, entered text into them, and created files. What sorts of things are these files, windows, and text? It might seem that windows are easy to understand. You can, after all, see windows. That is the whole point of them. You see a window by seeing a pattern on the surface of your monitor. Isn’t the window identical with that physical pattern? But that is too quick. First, you can turn your monitor off. The window is still open. You can type text into it, and if you turn the monitor back on you can verify that you made that change. Second, you can drag another window in front of the original window. The original window disappears from view, but it still exists. Things may be happening in it that you cannot see. For example, if it is an e-mail window, new messages may be listed in it as they are 1 downloaded.. (shrink)

This new edition of the classic Contemporary Theories of Knowledge has been significantly updated to include analyses of the recent literature in epistemology.

In this bold addition to Oxford's What Everyone Needs to Know® series, John L. Esposito and Natana DeLong-Bas offer a guide to the often-discussed but seldom-understood concept of Sharia, responding to misunderstandings and distortions, as well as providing answers to questions about the origin, nature, and content of Sharia.

Princeton University Press, 1982. This book is out of print, but can be downloaded as a pdf file (5 MB).

Georges Sorel's reputation as a proponent of violence has helped to link his ideas to fascist and totalitarian thought. Much of the literature on Sorel as developed this theme, at the expense of what Sorel himself stated as his primary purpose, "the discovery of the historical genesis of morals." How, Sorel asked, in the light of the development of modern industry and the vast powers of the modern state the individual can possess a sense of self-worth and at the same (...) time help to sustain a cultural vitality similar to the great societies of antiquity? How is it possible to avoid the utter resignation and nihilistic relativism of modern existence? In his writings Sorel outlined a sociology of virtue that combined the importance of family love as the basis of community feelings with acceptance of the basis of individual vitality as constant industrial struggle against nature. Sorel's solution is different from Marx's: in place of the ida of transcended alienation, Sorel envisions an agonal striving against nature's unceasing resistance to our efforts. The Feuerbachian unity of nature that, for Marx, had been alienated under capitalism, Sorel regarded as being inherently fragmented by scientific procedures themselves, as well as by the industrial processes that correspond to those scientific procedures. For Sorel, the struggle against nature is the struggle that enables man to overcome himself, to strive against his own inclination to passivity, sloth, and licentiousness. The Marxist concept of totality so necessary to the vision of a communist society is rejected, in favor of a pragmatic, pluralist view of nature that parallels the social pluralism of a regime of workers' syndicates. The primary function of Sorel's famous "myth of the general strike" is to link the workers' constant struggles against capitalist employers to the never-ending struggle against nature. The feelings engendered by such a strubble constitute the true core of socialism; without such feelings, socialism is doomed to the same decay that Sorel and Marx foresaw for capitalist civilization. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1981. (shrink)

Why should one believe that conscious awareness is solely the result of organizational complexity? What is the connection between consciousness and combinatorics: transformation of quantity into quality? The claim that the former is reducible to the other seems unconvincing—as unlike as chalk and cheese! In his book1 Penrose is at least attempting to compare like with like: the enigma of consciousness with the progress of physics.

A weak form of intuitionistic set theory WST lacking the axiom of extensionality is introduced. While WST is too weak to support the derivation of the law of excluded middle from the axiom of choice, we show that beefing up WST with moderate extensionality principles or quotient sets enables the derivation to go through.

IN THEIR WELL-KNOWN PAPER, Kochen and Specker (1967) introduce the concept of partial Boolean algebra (pBa) and show that certain (finitely generated) partial Boolean algebras arising in quantum theory fail to possess morphisms to any Boolean algebra (we call such pBa's intractable in the sequel). In this note we begin by discussing partial..

This book provides a systematic and comprehensive survey and evaluation of the problems of incorporating individual and group rights and values into social procedures and judgements, and examines the solutions that have been proposed. The book begins by defending the presence of libertarian requirements in social choice. A framework for incorporating individual rights into social choice is then formally presented, and libertarian conditions are formulated which can be satisfied for all conceivable sets of individual preferences. Further chapters then show how (...) such libertarian conditions can conflict with other well-known social conditions in social choice, in particular the Pareto condition. Resolution approaches to this latter conflict are evaluated, and are shown not to be appropriate for all types of conflict environments. Instead a more pragmatic approach is called for, based on more information regarding the environment from which choice is to be made. (shrink)

Reliabilist theories propose to analyse epistemic justification in terms of reliability. This paper argues that if we pay attention to the details of probability theory we find that there is no concept of reliability that can possibly play the role required by reliabilist theories. A distinction is drawn between the general reliability of a process and the single case reliability of an individual belief, And it is argued that neither notion can serve the reliabilist adequately.

Introduces the technical tools and concepts employed in advanced work in philosophy. Beginning with the fundamentals of set theory, the author examines relations, functions and the theory of arithmetic before using these tools to clarify the metatheory of the predicate calculus.

subsets X of A for which ∃x (x ∈ A). The set of functions from A to B is denoted by BA.

The present study is the result of two questions which arose in dealing with the Critique of Pure Reason. What is the relationship of the “Doctrine of Method” to the “Doctrine of Elements?” Does the “Doctrine of Method” tell us anything important about Kant and his philosophy? It will be the contention of this paper that the second half of the Critique relies heavily on the “Doctrine of Elements,” and is a natural expansion of the first half of the Critique. (...) In effect, this is a tentative denial of Norman Kemp Smith’s patchwork thesis. With respect to the second question mentioned above, we shall see that Kant does have a very special place for methodology in his philosophy. This methodology of philosophy has implications for a theory of the division of the sciences and the method proper to each of them. (shrink)

In a number of recent papers I have been developing the theory of "nomic probability," which is supposed to be the kind of probability involved in statistical laws of nature. One of the main principles of this theory is an acceptance rule explicitly designed to handle the lottery paradox. This paper shows that the rule can also handle the paradox of the preface. The solution proceeds in part by pointing out a surprising connection between the paradox of the preface and (...) the gambler's fallacy. (shrink)

This book examines the revival of antique philosophy in the Renaissance as a literary preoccupation informed by wit.

Perkins, John L The atrocity of September 11 led me to become an atheist. A boundary had been crossed, I thought, and religions could no longer be regarded as benign. As the buildings crashed to the ground in New York, this conclusion seemed obvious. Yet a decade and a half later, it seems remarkable how few people have been able to reach the same conclusion.

The objective of this book is to produce a theory of rational decision making for realistically resource-bounded agents. My interest is not in “What should I do if I were an ideal agent?”, but rather, “What should I do given that I am who I am, with all my actual cognitive limitations?” The book has three parts. Part One addresses the question of where the values come from that agents use in rational decision making. The most comon view among philosophers (...) is that they are based on preferences, but I argue that this is computationally impossible. I propose an alternative theory somewhat reminiscent of Bentham, and explore how human beings actually arrive at values and how they use them in decision making. Part Two investigates the knowledge of probability that is required for decision-theoretic reasoning. I argue that subjective probability makes no sense as applied to realistic agents. I sketch a theory of objective probability to put in its place. Then I use that to define a variety of causal probability and argue that this is the kind of probability presupposed by rational decision making. So what is to be defended is a variety of causal decision theory. Part Three explores how these values and probabilities are to be used in decision making. In chapter eight, it is argued first that actions cannot be evaluated in terms of their expected values as ordinarily defined, because that does not take account of the fact that a cognizer may be unable to perform an action, and may even be unable to try to perform it. An alternative notion of “expected utility” is defined to be used in place of expected values. In chapter nine it is argued that individual actions cannot be the proper objects of decision-theoretic evaluation. We must instead choose plans, and select actions indirectly on the grounds that they are prescribed by the plans we adopt. However, our objective cannot be to find plans with maximal expected utilities. Plans cannot be meaningfully compared in that way. (shrink)

An argument is self-defeating when it contains defeaters for some of its own defeasible lines. It is shown that the obvious rules for defeat among arguments do not handle self-defeating arguments correctly. It turns out that they constitute a pervasive phenomenon that threatens to cripple defeasible reasoning, leading to almost all defeasible reasoning being defeated by unexpected interactions with self-defeating arguments. This leads to some important changes in the general theory of defeasible reasoning.

Hermann Weyl, one of the twentieth century's greatest mathematicians, was unusual in possessing acute literary and philosophical sensibilities—sensibilities to which he gave full expression in his writings. In this paper I use quotations from these writings to provide a sketch of Weyl's philosophical orientation, following which I attempt to elucidate his views on the mathematical continuum, bringing out the central role he assigned to intuition.

Probability is sometimes regarded as a universal panacea for epistemology. It has been supposed that the rationality of belief is almost entirely a matter of probabilities. Unfortunately, those philosophers who have thought about this most extensively have tended to be probability theorists first, and epistemologists only secondarily. In my estimation, this has tended to make them insensitive to the complexities exhibited by epistemic justification. In this paper I propose to turn the tables. I begin by laying out some rather simple (...) and uncontroversial features of the structure of epistemic justification, and then go on to ask what we can conclude about the connection between epistemology and probability in the light of those features. My conclusion is that probability plays no central role in epistemology. This is not to say that probability plays no role at all. In the course of the investigation, I defend a pair of probabilistic acceptance rules which enable us, under some circumstances, to arrive at justified belief on the basis of high probability. But these rules are of quite limited scope. The effect of there being such rules is merely that probability provides one source for justified belief, on a par with perception, memory, etc. There is no way probability can provide a universal cure for all our epistemological ills. (shrink)

The principle of set theory known as the Axiom of Choice has been hailed as “probably the most interesting and, in spite of its late appearance, the most discussed axiom of mathematics, second only to Euclid's axiom of parallels which was introduced more than two thousand years ago” (Fraenkel, Bar-Hillel & Levy 1973, §II.4). The fulsomeness of this description might lead those unfamiliar with the axiom to expect it to be as startling as, say, the Principle of the Constancy of (...) the Velocity of Light or the Heisenberg Uncertainty Principle. But in fact the Axiom of Choice as it is usually stated appears humdrum, even self-evident. For it amounts to nothing more than the claim that, given any collection of mutually disjoint nonempty sets, it is possible to assemble a new set — a transversal or choice set — containing exactly one element from each member of the given collection. Nevertheless, this seemingly innocuous principle has far-reaching mathematical consequences — many indispensable, some startling — and has come to figure prominently in discussions on the foundations of mathematics. It (or its equivalents) have been employed in countless mathematical papers, and a number of monographs have been exclusively devoted to it. (shrink)