1.

Record Nr.

UNINA9910814287503321

Autore

Feferman Solomon

Titolo

In the light of logic / / Solomon Feferman

Pubbl/distr/stampa

New York, : Oxford University Press, c1998

ISBN

0-19-773058-2

1-280-44330-8

9786610443307

0-19-535983-6

0-585-35829-X

Edizione

[First edition.]

Descrizione fisica

1 online resource (353 pages)

Collana

Logic and computation in philosophy

Disciplina

510.1

511.3

Soggetti

Logic, Symbolic and mathematical

Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Previously issued in print: 1998.

Nota di bibliografia

Includes bibliographical references (p. 309-330) and index.

Nota di contenuto

Contents; I: FOUNDATIONAL PROBLEMS; 1 Deciding the undecidable: Wrestling with Hilbert's problems; 2 Infinity in mathematics: Is Cantor necessary?; II: FOUNDATIONAL WAYS; 3 The logic of mathematical discovery versus the logical structure of mathematics; 4 Foundational ways; 5 Working foundations; III: GÖDEL; 6 Gödel's life and work; 7 Kurt Gödel: Conviction and caution; 8 Introductory note to Gödel's 1933 lecture; IV: PROOF THEORY; 9 What does logic have to tell us about mathematical proofs?; 10 What rests on what? The proof-theoretic analysis of mathematics

11 Gödel's Dialectica interpretation and its two-way stretchV: COUNTABLY REDUCIBLE MATHEMATICS; 12 Infinity in mathematics: Is Cantor necessary? (Conclusion); 13 Weyl vindicated: Das Kontinuum seventy years later; 14 Why a little bit goes a long way: Logical foundations of scientifically applicable mathematics; Symbols; References; Index; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; V; W; Z

Sommario/riassunto

This volume brings together a revised and annotated selection of Solomon Feferman's most important writings, covering the relation



between logic and mathematics, proof theory, and objectivity and intentionality in mathematics.