The Reason's Proper Study
Essays Towards a Neo-fregean Philosophy of Mathematics
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Reason's Proper Study by Bob Hale
Book DescriptionBob 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 of this 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.
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Book DetailsISBN: 9780199266326
(233mm x 157mm x 22mm)
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 13-Nov-2003
Country of Publication: United Kingdom
Books By Author Bob Hale
Necessary Beings, Paperback (October 2015)
Bob Hale presents a broadly Fregean approach to metaphysics, according to which ontology and modality are mutually dependent upon one another. He argues that facts about what kinds of things exist depend on facts about what is possible. Modal facts are fundamental, and have their basis in the essences of things-not in meanings or concepts.
Modality, Paperback (January 2013)
The philosophy of modality investigates necessity and possibility, and related notions-are they objective features of mind-independent reality? If so, are they irreducible, or can modal facts be explained in other terms? This collection comprises essays on these and other questions by an excellent team of contributors.
Companion to Philosophy of Language, Paperback (April 1999)
This volume provides a survey of contemporary philosophy of language. As well as providing a synoptic view of the key issues, figures, concepts and debates, each essay makes new and original contributions to ongoing debate.
Reading Putnam, Paperback (December 1995)» View all books by Bob Hale
Provides an assessment and exploration of Putnam's Seminal Work. Written by Philosophers themselves well-known for their work in the field, this collection of essays bears witness to the influence and importance of Putnam's thought. Putnam's reply constitutes an essay, which aims to clarify central themes in his philosophy.
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Author Biography - Bob Hale
Bob Hale is Professor of Metaphysical Philosophy at the University of Glasgow. Crispin Wright is Professor of Logic and Metaphysics, and Wardlaw Professor, at the University of St Andrews.
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