Philosophy of Mathematics: Set Theory, Measuring Theories, and Nominalism
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin
De Gruyter
2008
|
| Schriftenreihe: | Logos
13 |
| Schlagworte: | |
| Online-Zugang: | DE-706 Volltext Volltext |
| Beschreibung: | Description based upon print version of record Main description: One main interest of philosophy is to become clear about the assumptions, premisses and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is acheivable or necessary like the articles in the firt part of the publication show. Also the role of formal derivations, the role of the concept of apriority, and the intuitions of mathematical principles and properties need to be discussed. The second part is a contribution on nominalistic and platonistic views in mathematics, like the "indispensability argument" of W. v. O. Quine H. Putnam and the "makes no difference argument" of A. Baker. Not only in retrospect, the third part shows the problems of Mill, Frege's and the unity of mathematics and Descartes's contradictional conception of mathematical essences. Together, these articles give us a hint into the relationship between mathematics and world, that is, one of the central problems in philosophy of mathematics and philosophy of science |
| Beschreibung: | 1 Online-Ressource (184 S.) |
| ISBN: | 9783110323092 9783110323689 9783110323696 |
| DOI: | 10.1515/9783110323689 |
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Datensatz im Suchindex
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| spelling | Philosophy of Mathematics Set Theory, Measuring Theories, and Nominalism Berlin De Gruyter 2008 1 Online-Ressource (184 S.) txt rdacontent c rdamedia cr rdacarrier Logos 13 Description based upon print version of record Main description: One main interest of philosophy is to become clear about the assumptions, premisses and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is acheivable or necessary like the articles in the firt part of the publication show. Also the role of formal derivations, the role of the concept of apriority, and the intuitions of mathematical principles and properties need to be discussed. The second part is a contribution on nominalistic and platonistic views in mathematics, like the "indispensability argument" of W. v. O. Quine H. Putnam and the "makes no difference argument" of A. Baker. Not only in retrospect, the third part shows the problems of Mill, Frege's and the unity of mathematics and Descartes's contradictional conception of mathematical essences. Together, these articles give us a hint into the relationship between mathematics and world, that is, one of the central problems in philosophy of mathematics and philosophy of science Wissenschaftsphilosophie (DE-588)4202787-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Electronic books 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Mathematik (DE-588)4037944-9 s Wissenschaftsphilosophie (DE-588)4202787-1 s 2\p DE-604 Peter, Georg Sonstige oth Preyer, Gerhard 1945- Sonstige (DE-588)108780503 oth https://doi.org/10.1515/9783110323689 Verlag Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110323689&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Philosophy of Mathematics Set Theory, Measuring Theories, and Nominalism Wissenschaftsphilosophie (DE-588)4202787-1 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4202787-1 (DE-588)4037944-9 (DE-588)4143413-4 |
| title | Philosophy of Mathematics Set Theory, Measuring Theories, and Nominalism |
| title_auth | Philosophy of Mathematics Set Theory, Measuring Theories, and Nominalism |
| title_exact_search | Philosophy of Mathematics Set Theory, Measuring Theories, and Nominalism |
| title_full | Philosophy of Mathematics Set Theory, Measuring Theories, and Nominalism |
| title_fullStr | Philosophy of Mathematics Set Theory, Measuring Theories, and Nominalism |
| title_full_unstemmed | Philosophy of Mathematics Set Theory, Measuring Theories, and Nominalism |
| title_short | Philosophy of Mathematics |
| title_sort | philosophy of mathematics set theory measuring theories and nominalism |
| title_sub | Set Theory, Measuring Theories, and Nominalism |
| topic | Wissenschaftsphilosophie (DE-588)4202787-1 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Wissenschaftsphilosophie Mathematik Aufsatzsammlung |
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