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The Oxford Handbook of Philosophy of Mathematics and Logic (Oxford Handbooks in Philosophy)
 
 
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The Oxford Handbook of Philosophy of Mathematics and Logic (Oxford Handbooks in Philosophy) [Hardcover]

Stewart Shapiro (Editor)
4.5 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

0195148770 978-0195148770 February 10, 2005
Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas.

This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical.

The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.

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Editorial Reviews

Review


"The Oxford Handbook of the Philosophy of Mathematics and Logic is a very accessible, wide ranging work that serves not only to indicate the 'state of the art' in the given area, but, remarkably, also serves as a very fine introduction to the field. I recommend it highly, both to workers in the given field and, equally, to the 'general philosopher,' regardless of one's main area." --Notre Dame Philosophical Reviews


"The Oxford Handbook of the Philosophy of Mathematics and Logic is most certainly here to stay for a very long time. The quality of each of the contributions is reflected in the authors' stimulating writing. The handbook can add substantially to the emerging thoughts and studies on the subject."--Current Engineering Practice


About the Author


Stewart Shapiro is O'Donnell Professor of Philosophy at The Ohio State University and Professorial Fellow at the Arch� Centre, University of St. Andrews.

Product Details

  • Hardcover: 856 pages
  • Publisher: Oxford University Press, USA (February 10, 2005)
  • Language: English
  • ISBN-10: 0195148770
  • ISBN-13: 978-0195148770
  • Product Dimensions: 9.7 x 7.3 x 2.7 inches
  • Shipping Weight: 3.4 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,168,599 in Books (See Top 100 in Books)

 

Customer Reviews

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18 of 23 people found the following review helpful:
5.0 out of 5 stars The most concise work on the philosophy of mathematics, July 7, 2006
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This review is from: The Oxford Handbook of Philosophy of Mathematics and Logic (Oxford Handbooks in Philosophy) (Hardcover)
Anyone looking for a synopsis on collected essays on this subject need look no further. This is not only because of the relative scarcity of books on this subject. I would say this book will become (if it is not already) the bible of the philosophy of maths, like the book of Hardy is on number theory.
The chapters start in a readable manner also for laymen like me. For these introductions in prose (I mean without logic formulas and math language)alone the book is worth the buy.
I have to admit though that to fully comprehend the details, more advanced maths knowledge is necessary. But everything is there, all the key-figures that played and play a role in the discussion on this subject, and a discussion on what they have done and how their contribution adds to this relatively new field.
Highly recommended, among the works of Shapiro himself.
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5 of 13 people found the following review helpful:
4.0 out of 5 stars Good overview, August 29, 2007
The book is a very good and comprehensive overview of the current field. It contains a lot of separate essays that present a good picture of the area under investigation.

I recommend this book to everybody who is interested in this field.
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Inside This Book (learn more)
First Sentence:
FROM the beginning, Western philosophy has had a fascination with mathematics. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
ante rem structure, constructibility theory, nonlogical terminology, cardinal number attribute, logicist theses, logically unrestricted, rem structuralism, composing rectangles, rem structuralist, modal ingredient, revolutionary nominalist, standard logical truth, hermeneutic nominalist, natural number structure, contentual reasoning, finitist arithmetic, predicative ordinals, revolutionary nominalism, disjunctive weakening, constructibility quantifiers, axiomatizing set theory, nominalistic reconstruction, eliminative structuralism, propositional paradox, rem structures
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Oxford University Press, Harvard University Press, Cambridge University Press, Clarendon Press, Journal of Philosophy, Journal of Symbolic Logic, Basic Law, Philosophia Mathematica, Notre Dame Journal of Formal Logic, Axiom of Solvability, Stewart Shapiro, Julius Caesar, Proceedings of the Aristotelian Society, Vienna Circle, Princeton University Press, Ludwig Wittgenstein, Philosophical Review, Cornell University Press, Michael Dummett, Basil Blackwell, Bertrand Russell, Critique of Pure Reason, Dedekindian Way, Hartry Field
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