fixing frege princeton monographs in philosophy

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Fixing Frege

Author : John P. Burgess
ISBN : 9780691187068
Genre : Philosophy
File Size : 38. 96 MB
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Philosophical Logic

Author : John P. Burgess
ISBN : 0691137897
Genre : Philosophy
File Size : 47. 3 MB
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Philosophical Logic is a clear and concise critical survey of nonclassical logics of philosophical interest written by one of the world's leading authorities on the subject. After giving an overview of classical logic, John Burgess introduces five central branches of nonclassical logic (temporal, modal, conditional, relevantistic, and intuitionistic), focusing on the sometimes problematic relationship between formal apparatus and intuitive motivation. Requiring minimal background and arranged to make the more technical material optional, the book offers a choice between an overview and in-depth study, and it balances the philosophical and technical aspects of the subject. The book emphasizes the relationship between models and the traditional goal of logic, the evaluation of arguments, and critically examines apparatus and assumptions that often are taken for granted. Philosophical Logic provides an unusually thorough treatment of conditional logic, unifying probabilistic and model-theoretic approaches. It underscores the variety of approaches that have been taken to relevantistic and related logics, and it stresses the problem of connecting formal systems to the motivating ideas behind intuitionistic mathematics. Each chapter ends with a brief guide to further reading. Philosophical Logic addresses students new to logic, philosophers working in other areas, and specialists in logic, providing both a sophisticated introduction and a new synthesis.

G Del S Disjunction

Author : Leon Horsten
ISBN : 9780191077692
Genre : Mathematics
File Size : 78. 48 MB
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The logician Kurt Gödel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is not equivalent to a Turing machine (i.e., a computer), or there are absolutely undecidable mathematical problems. In the second half of the twentieth century, attempts have been made to arrive at a stronger conclusion. In particular, arguments have been produced by the philosopher J.R. Lucas and by the physicist and mathematician Roger Penrose that intend to show that the mathematical mind is more powerful than any computer. These arguments, and counterarguments to them, have not convinced the logical and philosophical community. The reason for this is an insufficiency if rigour in the debate. The contributions in this volume move the debate forward by formulating rigorous frameworks and formally spelling out and evaluating arguments that bear on Gödel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field.

Philosophical Myths Of The Fall

Author : Stephen Mulhall
ISBN : 9781400826650
Genre : Philosophy
File Size : 63. 46 MB
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Did post-Enlightenment philosophers reject the idea of original sin and hence the view that life is a quest for redemption from it? In Philosophical Myths of the Fall, Stephen Mulhall identifies and evaluates a surprising ethical-religious dimension in the work of three highly influential philosophers--Nietzsche, Heidegger, and Wittgenstein. He asks: Is the Christian idea of humanity as structurally flawed something that these three thinkers aim simply to criticize? Or do they, rather, end up by reproducing secular variants of the same mythology? Mulhall argues that each, in different ways, develops a conception of human beings as in need of redemption: in their work, we appear to be not so much capable of or prone to error and fantasy, but instead structurally perverse, living in untruth. In this respect, their work is more closely aligned to the Christian perspective than to the mainstream of the Enlightenment. However, all three thinkers explicitly reject any religious understanding of human perversity; indeed, they regard the very understanding of human beings as originally sinful as central to that from which we must be redeemed. And yet each also reproduces central elements of that understanding in his own thinking; each recounts his own myth of our Fall, and holds out his own image of redemption. The book concludes by asking whether this indebtedness to religion brings these philosophers' thinking closer to, or instead forces it further away from, the truth of the human condition.

Mathematical Reviews

Author :
ISBN : UOM:39015067193329
Genre : Mathematics
File Size : 68. 85 MB
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Philosophy Of Mathematics

Author : Vincent F. Hendricks
ISBN : 8799101351
Genre : Mathematics
File Size : 36. 30 MB
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Philosophy of Mathematics: 5 Questions is a collection of short interviews based on 5 questions presented to some of the most influential and prominent scholars in this field. We hear their views aim, scope, use, the future direction and how their work fits in these respects.

Naming And Necessity

Author : Saul A. Kripke
ISBN : 0674598466
Genre : Philosophy
File Size : 86. 66 MB
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If there is such a thing as essential reading in metaphysics or in philosophy of language, this is it. Ever since the publication of its original version, Naming and Necessity has had great and increasing influence. It redirected philosophical attention to neglected questions of natural and metaphysical necessity and to the connections between these and theories of reference, in particular of naming, and of identity. From a critique of the dominant tendency to assimilate names to descriptions and more generally to treat their reference as a function of their Fregean sense, surprisingly deep and widespread consequences may be drawn. The largely discredited distinction between accidental and essential properties, both of individual things (including people) and of kinds of things, is revived. So is a consequent view of science as what seeks out the essences of natural kinds. Traditional objections to such views are dealt with by sharpening distinctions between epistemic and metaphysical necessity; in particular by the startling admission of necessary a posteriori truths. From these, in particular from identity statements using rigid designators whether of things or of kinds, further remarkable consequences are drawn for the natures of things, of people, and of kinds; strong objections follow, for example to identity versions of materialism as a theory of the mind. This seminal work, to which today's thriving essentialist metaphysics largely owes its impetus, is here published with a substantial new Preface by the author.

The Philosophical Review

Author : Jacob Gould Schurman
ISBN : STANFORD:36105121703750
Genre : Philosophy
File Size : 67. 29 MB
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Taking Wittgenstein At His Word

Author : Robert J. Fogelin
ISBN : 1400831571
Genre : Philosophy
File Size : 58. 47 MB
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Taking Wittgenstein at His Word is an experiment in reading organized around a central question: What kind of interpretation of Wittgenstein's later philosophy emerges if we adhere strictly to his claims that he is not in the business of presenting and defending philosophical theses and that his only aim is to expose persistent conceptual misunderstandings that lead to deep philosophical perplexities? Robert Fogelin draws out the therapeutic aspects of Wittgenstein's later work by closely examining his account of rule-following and how he applies the idea in the philosophy of mathematics. The first of the book's two parts focuses on rule-following, Wittgenstein's "paradox of interpretation," and his naturalistic response to this paradox, all of which are persistent and crucial features of his later philosophy. Fogelin offers a corrective to the frequent misunderstanding that the paradox of interpretation is a paradox about meaning, and he emphasizes the importance of Wittgenstein's often undervalued appeals to natural responses. The second half of the book examines how Wittgenstein applies his reflections on rule-following to the status of mathematical propositions, proofs, and objects, leading to remarkable, demystifying results. Taking Wittgenstein at His Word shows that what Wittgenstein claims to be doing and what he actually does are much closer than is often recognized. In doing so, the book underscores fundamental--but frequently underappreciated--insights about Wittgenstein's later philosophy.

Model Theory And The Philosophy Of Mathematical Practice

Author : John T. Baldwin
ISBN : 9781108103015
Genre : Science
File Size : 65. 18 MB
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Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics.

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