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Truth, proof, and infinity a theory of constructions and contructive reasoning by Fletcher, Peter

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Published .
Written in English

Subjects:

  • Mathematics,
  • Philosophy,
  • Arithmetic,
  • Mathematical analysis

Book details:

About the Edition

Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof of it. However, the meaning of the terms `construction" and `proof" has never been adequately explained (although Kriesel, Goodman and Martin-Lf have attempted axiomatisations). This monograph develops precise (though not wholly formal) definitions of construction and proof, and describes the algorithmic substructure underlying intuitionistic logic. Interpretations of Heyting arithmetic and constructive analysis are given. The philosophical basis of constructivism is explored thoroughly in Part I. The author seeks to answer objections from platonists and to reconcile his position with the central insights of Hilbert"s formalism and logic. Audience: Philosophers of mathematics and logicians, both academic and graduate students, particularly those interested in Brouwer and Hilbert; theoretical computer scientists interested in the foundations of functional programming languages and program correctness calculi.

Edition Notes

StatementPeter Fletcher, Department of Mathematics, Keele University, United Kingdom
SeriesSynthese library -- volume 276, Synthese library -- v. 276.
Classifications
LC ClassificationsQA8.4 .F53 1998eb
The Physical Object
Pagination1 online resource (ix, 469 pages).
Number of Pages469
ID Numbers
Open LibraryOL27092998M
ISBN 109401736162, 9048151058
ISBN 109789401736169, 9789048151059
OCLC/WorldCa864556774

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Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof of it. However, the meaning of the terms `construction' and `proof' has never been adequately explained (althoughBrand: Springer Netherlands. About this book Introduction Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof . Download Free eBook:Truth, Proof and Infinity; A Theory of Constructive Reasoning (Synthese Library Book ) - Free epub, mobi, pdf ebooks download, ebook torrents download. Truth, proof and infinity: A theory of constructions and constructive reasoning | Fletcher P. ;Davidson, Donald; Hintikka, Jaakko | download | B–OK. Download books.

  Roads to Infinity book. Read 3 reviews from the world's largest community for readers. Winner of a CHOICE Outstanding Academic Title Award for !T /5. Book Roads to Infinity The Mathematics of Truth and Proof pdf Book Roads to Infinity The Mathematics of Truth and Proof pdf Pages By John C. Stillwell Publisher: A K Peters, Year: ISBN: , Search in Description: This popular account of set theory and mathematical logic introduces the reader to modern ideas about. The idea of Ramanujan being preoccupied with publishing comes from the following passage in the book (The Man who Knew Infinity): > In his first letter to Hardy, he had sought help in publishing his results. And now, during and , letters. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the.

Fascinating book investigating paranormal activity in North Yorkshire. Unbelievable events well researched and documented. Is Bempton the UK's UFO hot spot? There are more tales to tell from this area and I am really looking forward to the sequel to Truth-Proof. Great read. - Amazon reviewer. He discusses the Infinity of God in Question vii of Book I of the Summa [an aggregate], of which some more or less important truth can be enunciated, provided only that each of the presentations A, B, C so set theory joins conceptual confusion with methods of proof. Truth-Proof book. Read 2 reviews from the world's largest community for readers. UK Author and researcher Paul Sinclair lives in the seaside town of Brid /5(2). Get this from a library! Roads to infinity: the mathematics of truth and proof. [John Stillwell] -- Offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream.