Philosophy of mathematics:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier, NH
2007
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | Handbook of the philosophy of science
4 |
| Schlagworte: | |
| Online-Zugang: | FUBA1 Volltext |
| Beschreibung: | One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (200 pages) |
| ISBN: | 9780444515551 0444515550 |
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| 500 | |a One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics | ||
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| dewey-full | 510.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| dewey-search | 510.1 |
| dewey-sort | 3510.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. ed. |
| format | Electronic eBook |
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| spelling | Philosophy of mathematics ed. by Andrew D. Irvine. [Contributors: Peter Apostoli ...] 1. ed. Amsterdam [u.a.] Elsevier, NH 2007 1 Online-Ressource (200 pages) txt rdacontent c rdamedia cr rdacarrier Handbook of the philosophy of science 4 One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics Includes bibliographical references and index Mathematics / Philosophy fast Mathematik Philosophie Mathematics Philosophy Mathematik (DE-588)4037944-9 gnd rswk-swf Wissenschaftstheorie (DE-588)4117665-0 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Mathematik (DE-588)4037944-9 s Wissenschaftstheorie (DE-588)4117665-0 s 1\p DE-604 Irvine, Andrew D. 1958- Sonstige (DE-588)139013520 oth http://www.sciencedirect.com/science/book/9780444515551 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Philosophy of mathematics Mathematics / Philosophy fast Mathematik Philosophie Mathematics Philosophy Mathematik (DE-588)4037944-9 gnd Wissenschaftstheorie (DE-588)4117665-0 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4117665-0 (DE-588)4143413-4 |
| title | Philosophy of mathematics |
| title_auth | Philosophy of mathematics |
| title_exact_search | Philosophy of mathematics |
| title_full | Philosophy of mathematics ed. by Andrew D. Irvine. [Contributors: Peter Apostoli ...] |
| title_fullStr | Philosophy of mathematics ed. by Andrew D. Irvine. [Contributors: Peter Apostoli ...] |
| title_full_unstemmed | Philosophy of mathematics ed. by Andrew D. Irvine. [Contributors: Peter Apostoli ...] |
| title_short | Philosophy of mathematics |
| title_sort | philosophy of mathematics |
| topic | Mathematics / Philosophy fast Mathematik Philosophie Mathematics Philosophy Mathematik (DE-588)4037944-9 gnd Wissenschaftstheorie (DE-588)4117665-0 gnd |
| topic_facet | Mathematics / Philosophy Mathematik Philosophie Mathematics Philosophy Wissenschaftstheorie Aufsatzsammlung |
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