The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Ausgabe: | 2 |
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The theory of large cardinals is currently a broad mainstream of modern set theory, the main area of investigation for the analysis of the relative consistency of mathematical propositions and possible new axioms for mathematics. The first of a projected multi-volume series, this book provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contempory research. A "genetic" approach is taken, presenting the subject in the context of its historical development. With hindsight the consequential avenues are pursued and the most elegant or accessible expositions given. With open questions and speculations provided throughout the reader should not only come to appreciate the scope and coherence of the overall enterpreise but also become prepared to pursue research in several specific areas by studying the relevant sections |
| Beschreibung: | 1 Online-Ressource (XXII, 538 p) |
| ISBN: | 9783540888673 9783540888666 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-540-88867-3 |
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Datensatz im Suchindex
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| author | Kanamori, Akihiro |
| author_facet | Kanamori, Akihiro |
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| author_variant | a k ak |
| building | Verbundindex |
| bvnumber | BV042422413 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879623553 (DE-599)BVBBV042422413 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-540-88867-3 |
| edition | 2 |
| era | Geschichte gnd Geschichte Anfänge-1970 gnd |
| era_facet | Geschichte Geschichte Anfänge-1970 |
| format | Electronic eBook |
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| id | DE-604.BV042422413 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-21T01:14:43Z |
| institution | BVB |
| isbn | 9783540888673 9783540888666 |
| issn | 1439-7382 |
| language | English |
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| spelling | Kanamori, Akihiro Verfasser aut The Higher Infinite Large Cardinals in Set Theory from Their Beginnings by Akihiro Kanamori 2 Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (XXII, 538 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 The theory of large cardinals is currently a broad mainstream of modern set theory, the main area of investigation for the analysis of the relative consistency of mathematical propositions and possible new axioms for mathematics. The first of a projected multi-volume series, this book provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contempory research. A "genetic" approach is taken, presenting the subject in the context of its historical development. With hindsight the consequential avenues are pursued and the most elegant or accessible expositions given. With open questions and speculations provided throughout the reader should not only come to appreciate the scope and coherence of the overall enterpreise but also become prepared to pursue research in several specific areas by studying the relevant sections Mathematics Logic, Symbolic and mathematical Topology Mathematical Logic and Foundations Mathematik Kardinalzahl (DE-588)4163318-0 gnd rswk-swf Kardinalzahl (DE-588)4163318-0 s 1\p DE-604 https://doi.org/10.1007/978-3-540-88867-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kanamori, Akihiro The Higher Infinite Large Cardinals in Set Theory from Their Beginnings Mathematics Logic, Symbolic and mathematical Topology Mathematical Logic and Foundations Mathematik Kardinalzahl (DE-588)4163318-0 gnd |
| subject_GND | (DE-588)4163318-0 |
| title | The Higher Infinite Large Cardinals in Set Theory from Their Beginnings |
| title_auth | The Higher Infinite Large Cardinals in Set Theory from Their Beginnings |
| title_exact_search | The Higher Infinite Large Cardinals in Set Theory from Their Beginnings |
| title_full | The Higher Infinite Large Cardinals in Set Theory from Their Beginnings by Akihiro Kanamori |
| title_fullStr | The Higher Infinite Large Cardinals in Set Theory from Their Beginnings by Akihiro Kanamori |
| title_full_unstemmed | The Higher Infinite Large Cardinals in Set Theory from Their Beginnings by Akihiro Kanamori |
| title_short | The Higher Infinite |
| title_sort | the higher infinite large cardinals in set theory from their beginnings |
| title_sub | Large Cardinals in Set Theory from Their Beginnings |
| topic | Mathematics Logic, Symbolic and mathematical Topology Mathematical Logic and Foundations Mathematik Kardinalzahl (DE-588)4163318-0 gnd |
| topic_facet | Mathematics Logic, Symbolic and mathematical Topology Mathematical Logic and Foundations Mathematik Kardinalzahl |
| url | https://doi.org/10.1007/978-3-540-88867-3 |
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