| Document Type
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BL
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| Record Number
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990166
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| Doc. No
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b744536
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| Title & Author
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The Arché papers on the mathematics of abstraction /\ edited by Roy T. Cook.
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| Publication Statement
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Dordrecht :: Springer,, ©2007.
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| Series Statement
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The Western Ontario series in philosophy of science ;; v. 71
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| Page. NO
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1 online resource (xxxvii, 454 pages)
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| ISBN
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1402042647
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: 1402042655
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: 9781402042645
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: 9781402042652
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Is Hume's principle analytic? / G. Boolos -- Is Hume's principle analytic? / C. Wright -- Frege, neo-logicism and applied mathematics / P. Clark -- Finitude and Hume's principle / R.G. Heck, Jr. -- On finite Hume / F. MacBride -- Could nothing matter? / F. MacBride -- On the philosophical interest of Frege arithmetic / W. Demopoulos -- "Neo-logicist" logic is not epistemically innocent / S. Shapiro & A. Weir -- Aristotelian logic, axioms, and abstraction / R.T. Cook -- Frege's unofficial arithmetic / A. Rayo -- Reals by abstraction / R. Hale -- The state of the economy : neo-logicism and inflation / R.T. Cook -- Frege meets Dedekind : a neo-logicist treament of real analysis / S. Shapiro -- Neo-Fregean foundations for real analysis : some reflections on Frege's constraint / C. Wright -- New V, ZF and abstraction / S. Shapiro & A. Weir -- Well- and non-well-founded extensions / I. Jané & G. Uzquiano -- Abstraction & set theory / Bob Hale -- Prolegomenon to any future neo-logicist set theory : abstraction and indefinite extensibility / S. Shapiro -- Neo-Fregeanism : an embarassment of riches / A. Weir -- Iteration one more time / R.T. Cook.
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| Abstract
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Collects together important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines. This book focuses on extending the Neo-Fregean treatment to mathematics, and provides a test of the scope and limits of the neo-logicist project.
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| Subject
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Abstraction.
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| Subject
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Logic, Symbolic and mathematical.
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Mathematics-- Philosophy.
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| Subject
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Abstraction.
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Logic, Symbolic and mathematical.
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MATHEMATICS-- History Philosophy.
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Mathematics-- Philosophy.
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| Subject
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Sciences humaines.
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| Subject
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Sciences sociales.
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| Dewey Classification
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510.1
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| LC Classification
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QA8.4.A73 2007eb
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| Added Entry
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Cook, Roy T.,1972-
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