the reason s proper study essays towards a neo fregean philosophy of mathematics

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The Reason S Proper Study

Author : Bob Hale
ISBN : 0199266328
Genre : Philosophy
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Bob Hale and Crispin Wright draw together here the key writings in which they have worked out their distinctive neo-Fregean approach to the philosophy of mathematics. The two main components in Frege's mathematical philosophy were his platonism and his logicism - the claims, respectively, that mathematics is a body of knowledge about independently existing objects, and that this knowledge may be acquired on the basis of general logical laws and suitable definitions. The central thesis ofthis collection is that Frege was - his own eventual recantation notwithstanding - substantially right in both claims. Where neo-Fregeanism principally differs from Frege is in taking a more optimistic view of the kind of contextual explanation (proceeding via what are now commonly called abstraction principles) of the fundamental concepts of arithmetic and analysis which Frege considered and rejected. On this basis, neo-Fregeanism promises defensible and attractive answers to some of the most important ontological and epistemological questions in the philosophy of mathematics. In addition to fourteen previously published papers, the volume features a new paper on the Julius Caesar problem; a substantial new introduction mapping out the programme and the contributions made to it by the various papers; a postscript explaining which issues most require further attention; and bibliographies both of references and of further useful sources. The Reason's Proper Study will be recognized as the most powerful presentation yet of the neo-Fregean programme; it will prove indispensable reading not just to philosophers of mathematics but to all who are interested in the fundamental metaphysical and epistemological issues on which the programme impinges.

Introducing Philosophy Of Mathematics

Author : Michele Friend
ISBN : 9781317493792
Genre : Philosophy
File Size : 77. 64 MB
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What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.

The Routledge Companion To Metaphysics

Author : Robin Le Poidevin
ISBN : 9781134155866
Genre : Philosophy
File Size : 60. 41 MB
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The Routledge Companion to Metaphysics is an outstanding, comprehensive and accessible guide to the major themes, thinkers, and issues in metaphysics. The Companion features over fifty specially commissioned chapters from international scholars which are organized into three clear parts: History of Metaphysics Ontology Metaphysics and Science. Each section features an introduction which places the range of essays in context, while an extensive glossary allows easy reference to key terms and definitions. The Routledge Companion to Metaphysics is essential reading for students of philosophy and anyone interested in surveying the central topics and problems in metaphysics from causation to vagueness and from Plato and Aristotle to the present-day.

The Routledge Companion To Philosophy Of Science

Author : Martin Curd
ISBN : 9781135011093
Genre : Philosophy
File Size : 23. 6 MB
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The Routledge Companion to Philosophy of Science is an indispensable reference source and guide to the major themes, debates, problems and topics in philosophy of science. It contains sixty-two specially commissioned entries by a leading team of international contributors. Organized into four parts it covers:historical and philosophical context debates concepts the individual sciences. The Routledge Companion to Philosophy of Science addresses all of the essential topics.

The Harvard Review Of Philosophy

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ISBN : STANFORD:36105122322774
Genre : Philosophy
File Size : 71. 35 MB
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The Philosophy Of Michael Dummett

Author : Randall E. Auxier
ISBN : 0812696220
Genre : Philosophy
File Size : 67. 32 MB
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For over 50 years, Sir Michael Dummett has been a major philosophical voice in a wide range of fields, including epistemology, ontology, and the philosophy of language. This comprehensive volume treats all of these subjects and more in detail. It contains Dummett’s intellectual autobiography, 27 previously unpublished critical and descriptive essays by famous scholars, a reply to each essay by Dummett, and a complete bibliography of his published works.

Russell S Unknown Logicism

Author : S. Gandon
ISBN : 9781137024657
Genre : Mathematics
File Size : 74. 91 MB
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In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics , meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.

Contemporary Perspectives On Logicism And The Foundation Of Mathematics

Author : Pierre Joray
ISBN : CORNELL:31924109493134
Genre : Mathematics
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International Journal Of Philosophical Studies

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ISBN : UCAL:B4938999
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Principia

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ISBN : UOM:39015046402643
Genre : Knowledge, Theory of
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