The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory:
Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the affairs of the mathematics institute at the University of Göttingen. In 1933 he settled at the Inst...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
1970
|
| Ausgabe: | Eighth printing |
| Schriftenreihe: | Annals of Mathematics Studies
3 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the affairs of the mathematics institute at the University of Göttingen. In 1933 he settled at the Institute for Advanced Study in Princeton, where he joined the group of world-famous mathematicians who made up its original faculty. His 1940 book, better known by its short title, The Consistency of the Continuum Hypothesis, is a classic of modern mathematics. The continuum hypothesis, introduced by mathematician George Cantor in 1877, states that there is no set of numbers between the integers and real numbers. It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems, famously delivered as a manifesto to the field of mathematics at the International Congress of Mathematicians in Paris in 1900. In The Consistency of the Continuum Hypothesis Gödel set forth his proof for this problem. In 1999, Time magazine ranked him higher than fellow scientists Edwin Hubble, Enrico Fermi, John Maynard Keynes, James Watson, Francis Crick, and Jonas Salk. He is most renowned for his proof in 1931 of the 'incompleteness theorem,' in which he demonstrated that there are problems that cannot be solved by any set of rules or procedures. His proof wrought fruitful havoc in mathematics, logic, and beyond |
| Beschreibung: | Description based on online resource |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400881635 |
| DOI: | 10.1515/9781400881635 |
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| spelling | Gödel, Kurt 1906-1978 Verfasser (DE-588)11869569X aut The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory Kurt Gödel The consistency of the continuum hypothesis Eighth printing Princeton, NJ Princeton University Press 1970 © 1968 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies 3 Description based on online resource Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the affairs of the mathematics institute at the University of Göttingen. In 1933 he settled at the Institute for Advanced Study in Princeton, where he joined the group of world-famous mathematicians who made up its original faculty. His 1940 book, better known by its short title, The Consistency of the Continuum Hypothesis, is a classic of modern mathematics. The continuum hypothesis, introduced by mathematician George Cantor in 1877, states that there is no set of numbers between the integers and real numbers. It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems, famously delivered as a manifesto to the field of mathematics at the International Congress of Mathematicians in Paris in 1900. In The Consistency of the Continuum Hypothesis Gödel set forth his proof for this problem. In 1999, Time magazine ranked him higher than fellow scientists Edwin Hubble, Enrico Fermi, John Maynard Keynes, James Watson, Francis Crick, and Jonas Salk. He is most renowned for his proof in 1931 of the 'incompleteness theorem,' in which he demonstrated that there are problems that cannot be solved by any set of rules or procedures. His proof wrought fruitful havoc in mathematics, logic, and beyond In English Mathematik Philosophie Logic, Symbolic and mathematical Mathematics Philosophy Kontinuumshypothese (DE-588)4481570-0 gnd rswk-swf Auswahlaxiom (DE-588)4143673-8 gnd rswk-swf Auswahlaxiom (DE-588)4143673-8 s Kontinuumshypothese (DE-588)4481570-0 s DE-604 Erscheint auch als Druck-Ausgabe 0-691-07927-7 Annals of Mathematics Studies 3 (DE-604)BV040389493 3 https://doi.org/10.1515/9781400881635?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Gödel, Kurt 1906-1978 The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory Annals of Mathematics Studies Mathematik Philosophie Logic, Symbolic and mathematical Mathematics Philosophy Kontinuumshypothese (DE-588)4481570-0 gnd Auswahlaxiom (DE-588)4143673-8 gnd |
| subject_GND | (DE-588)4481570-0 (DE-588)4143673-8 |
| title | The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory |
| title_alt | The consistency of the continuum hypothesis |
| title_auth | The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory |
| title_exact_search | The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory |
| title_full | The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory Kurt Gödel |
| title_fullStr | The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory Kurt Gödel |
| title_full_unstemmed | The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory Kurt Gödel |
| title_short | The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory |
| title_sort | the consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory |
| topic | Mathematik Philosophie Logic, Symbolic and mathematical Mathematics Philosophy Kontinuumshypothese (DE-588)4481570-0 gnd Auswahlaxiom (DE-588)4143673-8 gnd |
| topic_facet | Mathematik Philosophie Logic, Symbolic and mathematical Mathematics Philosophy Kontinuumshypothese Auswahlaxiom |
| url | https://doi.org/10.1515/9781400881635?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
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