Foundationalist, Coherentist. Skeptic etc., have all been united in one respect—all accept epistemic justification cannot result from an unending, and non‐repeating. chain of reasons. Peter Klein has recently challenged this minimal consensus with a defense of what he calls “Intinitism”—the position that justification can result from such a regress. Klein provides surprisingly convincing responses to most of the common objections to Infinitism, but I will argue that he fails to address a venerable metaphysical concern about a certain type of regress. (...) My conclusion will be that until Klein answers these metaphysical worries he will not have restored Infinitism as a viable option in epistemology. (shrink)

I will argue for two main points. First, the regress imbedded in infinitism need not be subject to the Structural Objection; and second, the Structural Objection does not pose a real problem for any regress. I will not be arguing for the correctness of my proposal directly. That is, as will become apparent soon, my proposal rests on two principles of reasoning which together entail infinitism and I will not present my arguments for those principles here. The purpose of this (...) paper is to show that the objections raised by Gillett do not pose a grave problem for infinitism. (shrink)

In this paper, I consider the validity and proper formulation of the only-x-and-y principle, which states, roughly, that whether a later individual, y, is numerically identical to an earlier individual, x, can depend only on facts about x and y and the relationships between them. In the course of my investigation, I distinguish between two classes of physical entities - those that exist in a 'real' sense, and those that exist in a mere Cambridge sense. This distinction is grounded in (...) Peter Geach's distinction between 'real' and mere Cambridge change. I argue in favor of a modified version of the only-x-and-y principle - the qualified only-x-and-y principle - which applies to entities that exist in a 'real' sense, but not to mere Cambridge entities. It is also argued that the plausibility of the qualified only-x-and-y principle has more to do with facts about the nature of causality than with intuitions we have about existence or numerical identity. I finish by considering some traditional objections to the only-x-and-y principle, and conclude that they do not succeed in refuting the qualified only-x-and-y principle. (shrink)

Foundationalist, Coherentist, Skeptic etc., have all been united in one respect--all accept epistemic justification cannot result from an unending, and non-repeating, chain of reasons. Peter Klein has recently challenged this minimal consensus with a defense of what he calls "Infinitism"--the position that justification can result from such a regress. Klein provides surprisingly convincing responses to most of the common objections to Infinitism, but I will argue that he fails to address a venerable metaphysical concern about a certain type of regress. (...) My conclusion will be that until Klein answers these metaphysical worries he will not have restored Infinitism as a viable option in epistemology. (shrink)

Historical Essays. HISTORY OF A FALLACY The logical fallacy that I am going to discuss here is one that it is quite easy to see by common sense in simple ...

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...) audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. (shrink)

First published in 1937. Routledge is an imprint of Taylor & Francis, an informa company.

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...) audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. (shrink)

First published in 1903, _Principles of Mathematics_ was Bertrand Russell’s first major work in print. It was this title which saw him begin his ascent towards eminence. In this groundbreaking and important work, Bertrand Russell argues that mathematics and logic are, in fact, identical and what is commonly called mathematics is simply later deductions from logical premises. Highly influential and engaging, this important work led to Russell’s dominance of analytical logic on western philosophy in the twentieth century.

_Metaphysics: A Contemporary Introduction_ is for students who have already completed an introductory philosophy course and need a fresh look at the central topics in the core subject of metaphysics. It is essential reading for any student of the subject. This Fourth Edition is revised and updated and includes two new chapters on Parts and Wholes, and Metaphysical Indeterminacy or vagueness. This new edition also keeps the user-friendly format, the chapter overviews summarizing the main topics, concrete examples to clarify difficult (...) concepts, annotated further reading at the end of each chapter, endnotes, and a full bibliography. Topics addressed include: the problem of universals the nature of abstract entities the problem of individuation the nature of modality identity through time the nature of time the nature of parts and wholes the problem of metaphysical indeterminacy the Realism/anti-Realism debate. Wherever possible, Michael J. Loux and Thomas M. Crisp relate contemporary views to their classical sources in the history of philosophy. As experienced teachers of philosophy and important contributors to recent debates, Loux and Crisp are uniquely qualified to write this book. (shrink)