Proof Theory

Lingua: inglese

Editore: Springer, Springer Sep 2000, 2000

0792365445 / 9780792365440

Serie: Libro 137 di 304 - Synthese Library

Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -hiS volume in the Synthese Library Series is the result of a conference T held at the University of Roskilde, Denmark, October 31st-November 1st, 1997. The aim was to provide a forum within which philosophers, math ematicians, logicians and historians of mathematics could exchange ideas pertaining to the historical and philosophical development of proof theory. Hence the conference was called Proof Theory: History and Philosophical Significance. To quote from the conference abstract: Proof theory was developed as part of Hilberts Programme. According to Hilberts Programme one could provide mathematics with a firm and se cure foundation by formalizing all of mathematics and subsequently prove consistency of these formal systems by finitistic means. Hence proof theory was developed as a formal tool through which this goal should be fulfilled. It is well known that Hilbert's Programme in its original form was unfeasible mainly due to Gtldel's incompleteness theorems. Additionally it proved impossible to formalize all of mathematics and impossible to even prove the consistency of relatively simple formalized fragments of mathematics by finitistic methods. In spite of these problems, Gentzen showed that by extending Hilbert's proof theory it would be possible to prove the consistency of interesting formal systems, perhaps not by finitis tic methods but still by methods of minimal strength. This generalization of Hilbert's original programme has fueled modern proof theory which is a rich part of mathematical logic with many significant implications for the philosophy of mathematics.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 276 pp. Englisch.

Codice articolo 9780792365440

Titolo
Proof Theory
Autore
Vincent F. Hendricks
Editore
Springer, Springer Sep 2000
Anno di pubblicazione
2000
Condizione
Neu
Rilegatura
Buch
Lingua
inglese
ISBN 10
0792365445
ISBN 13
9780792365440
Peso dell'articolo
582 grammi
Dimensioni
241x160x20 mm
Serie
Libro 137 di 304: Synthese Library

buchversandmimpf2000

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