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Autore principale: | Ferreirós, José.
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Titolo: | Labyrinth of thought : a history of set theory and its role in modern mathematics / José Ferreirós. |
Edizione: | 2 ed. rev |
Pubblicazione: | Basel : Birkhäuser, c2007. |
Descrizione fisica: | XXV, 466 p. : ill., ritr. ; 24 cm |
Contiene: | Indice: Introduction. Pt. 1. The emergence of sets within mathematics: 1. Institutional and intellectual contexts in German mathematics (1800-1870) 2. A new fundamental notion: Riemann's manifolds 3. Dedekind and the set-theoretical approach to algebra 4. The real number system 5. Origins of the theory of points-sets. Pt. 2. Entering the labyrinth-toward abstract set theory: 6. The notion of cardinality and the continuum hypothesis 7. Sets and maps as a foundation for mathematics 8. The transfinite ordinals and the Cantor's mature theory. Pt. 3. In search of an axiom system: 9. Diffusion, crisis, and bifurcation (1890 to 1914) 10. Logic and type theory in the interwar period 11. Consolidation of axiomatic set theory. Bibliographical references. Index of illustrations. Name index. Subject index. Epilogue 2007 |
ISBN: | 9783764383497 |
Discipline: | Logica matematica--Studi. |
Sudd. cronologiche: | Secolo XIX. Secolo XX. |
Collocazione: | LS 16819 |
Nota di esemplare: | Mostra nota di esemplare |
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