This massive two-volume reference presents a comprehensive selection of the most important works on the foundations of mathematics. While the volumes include important forerunners like Berkeley, MacLaurin, and D'Alembert, as well as such followers as Hilbert and Bourbaki, their emphasis is on the mathematical and philosophical developments of the nineteenth century. Besides reproducing reliable English translations of classics works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare, William Ewald also includes selections from Gauss, Cantor, Kronecker, and Zermelo, all translated here for (...) the first time. (shrink)

The fundamental question of the ethics of belief is "What ought one to believe?" According to the traditional view of evidentialism, the strength of one's beliefs should be proportionate to the evidence. Conventional ways of defending and challenging evidentialism rely on the idea that what one ought to believe is a matter of what it is rational, prudent, ethical, or personally fulfilling to believe. Common to all these approaches is that they look outside of belief itself to determine what one (...) ought to believe. In this book Jonathan Adler offers a strengthened version of evidentialism, arguing that the ethics of belief should be rooted in the concept of belief—that evidentialism is belief's own ethics. A key observation is that it is not merely that one ought not, but that one cannot, believe, for example, that the number of stars is even. The "cannot" represents a conceptual barrier, not just an inability. Therefore belief in defiance of one's evidence (or evidentialism) is impossible. Adler addresses such questions as irrational beliefs, reasonableness, control over beliefs, and whether justifying beliefs requires a foundation. Although he treats the ethics of belief as a central topic in epistemology, his ideas also bear on rationality, argument and pragmatics, philosophy of religion, ethics, and social cognitive psychology. (shrink)

This brilliant and controversial work investigates the relationship between 'individual' and 'scientific' knowledge.

are ambiguous. In the mouth of someone who cannot remember whether it was Michael, or rather someone else, who was top scorer, can express the epistemic possibility that Michael led the league in scoring. But from someone who knows that Michael did not even play last season, but is wondering what would have happened if he had, means something quite different. Now where it has this quite different meaning, may still turn out to be the expression of some epistemic possibility. (...) Perhaps where does not express the epistemic possibility of ‘Michael led the league in scoring’, it expresses the epistemic possibility of ‘Michael would have led the league in scoring’. Analysis of this ‘would have’ statement, together with an exploration of the suspicion that the ‘might have’ statement is ambiguous between these two epistemic possibilities, will have to await another occasion. The important point for present purposes is that is ambiguous between an expression of the epistemic possibility of ‘Michael led the league in scoring’ and some quite different reading. (shrink)

Today most philosophers in the English-speaking world adhere to “naturalist” credos that philosophy is continuous with science, and that the natural sciences provide a complete account of all that exists. This volume presents a group of leading thinkers who criticize scientific naturalism in order to defend a more inclusive or liberal naturalism.

A review of Albert Casullo's "A Priori Justification" (Oxford University Press).

A comprehensive defence of the rationalist view that insight independent of experience is a genuine basis for knowledge.

A stellar line-up of leading philosophers from around the world offer new treatments of a topic which has long been central to philosophical debate, and in ...

Epistemic relativism has the contemporary academy in its grip. Not merely in the United States, but seemingly everywhere, most scholars working in the humanities and the social sciences seem to subscribe to some form of it. Even where the label is repudiated, the view is embraced. Sometimes the relativism in question concerns truth, sometimes justification. The core impulse appears to be a relativism about knowledge. The suspicion is widespread that what counts as knowledge in one cultural, or broadly ideological, setting (...) need not count as knowledge in another. (shrink)

The paper asks under what conditions deductive reasoning transmits justification from its premises to its conclusion. It argues that both standard externalist and standard internalist accounts of this phenomenon fail. The nature of this failure is taken to indicate the way forward: basic forms of deductive reasoning must justify by being instances of 'blind but blameless' reasoning. Finally, the paper explores the suggestion that an inferentialist account of the logical constants can help explain how such reasoning is possible.

The paper begins with a clarification of the notions of intuition (and, in particular, modal intuition), modal error, conceivability, metaphysical possibility, and epistemic possibility. It is argued that two-dimensionalism is the wrong framework for modal epistemology and that a certain nonreductionist approach to the theory of concepts and propositions is required instead. Finally, there is an examination of moderate rationalism’s impact on modal arguments in the philosophy of mind -- for example, Yablo’s disembodiment argument and Chalmers’s zombie argument. A less (...) vulnerable style of modal argument is defended, which nevertheless wins the same anti-materialist conclusions sought by these other arguments. (shrink)

This paper examines the nature and varieties of philosophical naturalism. A central question it pursues is whether there is any unifying conception of naturalism and, if so, whether it is substantive or methodological. Another question addressed is the extent to which naturalism is motivated by or depends on empiricism. The paper explores the connection between naturalism and scientific method---often taken as central in defining it---and critically discusses naturalistic positions in metaphysics (including philosophical theology), epistemology, and ethics. Given the ambitions of (...) philosophical naturalism---which extend to construing philosophy itself as broadly empirical in the way that natural science is---and given some of the difficulties that confront naturalism, its success remains a matter of lively controversy. (shrink)

This paper examines the nature and varieties of philosophical naturalism. A central question it pursues is whether there is any unifying conception of naturalism and, if so, whether it is substantive or methodological. Another question addressed is the extent to which naturalism is motivated by or depends on empiricism. The paper explores the connection between naturalism and scientific method---often taken as central in defining it---and critically discusses naturalistic positions in metaphysics (including philosophical theology), epistemology, and ethics. Given the ambitions of (...) philosophical naturalism---which extend to construing philosophy itself as broadly empirical in the way that natural science is---and given some of the difficulties that confront naturalism, its success remains a matter of lively controversy. (shrink)

In this book Jonathan Adler offers a strengthened version of evidentialism, arguing that the ethics of belief should be rooted in the concept of belief--that...

THE INDICATIVE CONDITIONAL. A PROBABILISTIC CRITERION OF SOUNDNESS FOR DEDUCTIVE INFERENCES Our objective in this section is to establish a prima facie case ...

A transcript of three lectures, given at Princeton University in 1970, which deals with (inter alia) debates concerning proper names in the philosophy of language.

Things and Their Place in Theories Our talk of external things, our very notion of things, is just a conceptual apparatus that helps us to foresee and ...

Fodor and LePore's attack on conceptual role semantics relies on Quine's attack on the traditional analytic/synthetic and a priori/a posteriori distinctions, which in turn consists of four arguments: an attack on truth by convention; an appeal to revisability; a claim of confirmation holism; and a charge of explanatory vacuity. Once the different merits of these arguments are sorted out, their proper target can be seen to be not the Traditional Distinctions, but an implicit assumption about their superficial availability that we (...) have abundant reason to reject. Once we reject it, we can see how issues of the absorbtion of conventions, the revisability of belief, and confirmation holism are compatible with the Traditional Distinctions, and that Quine's discussion only serves to camouflage the question of whether some confirmation relations are constitutive of meaning and knowable a priori. (shrink)

Recent years have seen an explosion of interest in the semantics of knowledge-attributing sentences, not just among epistemologists but among philosophers of language seeking a general understanding of linguistic context sensitivity. Despite all this critical attention, however, we are as far from consensus as ever. If we have learned anything, it is that each of the standard views—invariantism, contextualism, and sensitive invariantism—has its Achilles’ heel: a residuum of facts about our use of knowledge attributions that it can explain only with (...) special pleading. This is not surprising if, as I will argue, there is a grain of truth in each of these views. (shrink)

Paul Boghossian defends a meaning‐based approach to the apriority of the propositions of logic. His model is based on the idea that the logical constants are implicitly defined by some of the axioms and inference rules in which they are involved, thereby offering an alternative to those theories that deny that grasp of meaning can contribute to the explanation of a thinker's entitlement to a particular type of transition or belief.

How do we know what we "know"? How did we –as individuals and as a society – come to accept certain knowledge as fact? In _Human Knowledge,_ Bertrand Russell questions the reliability of our assumptions on knowledge. This brilliant and controversial work investigates the relationship between ‘individual’ and ‘scientific’ knowledge. First published in 1948, this provocative work contributed significantly to an explosive intellectual discourse that continues to this day.

v. 1-2. Principles of philosophy and Elements of logic.--v. 3-4. Exact logic (published papers) and The simplest mathematics.--v. 5-6. Pragmatism and pragmaticism and Scientific metaphysics.--v. 7. Science and philosophy.--v. 8. Reviews, correspondence and bibliography.

In the course of the discussion, Professor Quine pinpoints the difficulties involved in translation, brings to light the anomalies and conflicts implicit in our ...

Can some contingent truths be known a priori?: when this question is raised in modern philosophy — as, following Kripke, it often has been — it generally introduces a discussion of certain examples which seem to turn on indexical or indexical-like words . Sometimes the indexicality is quite obvious, as in 'I am here now', sometimes it appears only on analysis, as in 'If anyone uniquely invented the zip, Julius did', where by stipulation 'Julius' rigidly designates the inventor of the (...) zip , for the rigidity of 'Julius' can be expressed by means of the 'actually' operator, which is at least formally analogous to an indexical . Moreover, this indexicality has been exploited in a well known argument that what is known a priori can be contingent only in a superficial way pp. 161-89; technical details are omitted, since deep and superficial contingency coincide for sentences, such as those considered below, without 'actually' or similar operators). The purpose of this note is to argue that there are deeply contingent a priori truths which in no way turn on indexicals. I do not deny that there are also contingent a priori truths which do turn on indexicals, but we are unlikely to get clear on the contingent a priori in-general if we take it to be essentially tied up with indexicals when in fact it is not. (shrink)