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Truth, Proof and Infinity
Peter Fletcher
€ 226.73
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Description for Truth, Proof and Infinity
Hardback. 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. This monograph offers definitions of construction and proof, and describes the algorithmic substructure underlying intuitionistic logic. Series: Synthese Library. Num Pages: 470 pages, biography. BIC Classification: HPL. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 26. Weight in Grams: 835.
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-Löf 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 ... Read more
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-Löf 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 ... Read more
Product Details
Format
Hardback
Publication date
1998
Publisher
Kluwer Academic Publishers United States
Number of pages
470
Condition
New
Series
Synthese Library
Number of Pages
470
Place of Publication
Dordrecht, Netherlands
ISBN
9780792352624
SKU
V9780792352624
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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