Philosophy of mathematics :: set theory, measuring theories, and nominalism /
One main interest of philosophy is to become clear about the assumptions, premises and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is achievable or necessary like the articles in the first part of the publication sh...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Frankfurt ; New Brunswick :
Ontos,
2008.
|
| Schriftenreihe: | Logos (Frankfurt am Main, Germany) ;
Bd. 13. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | One main interest of philosophy is to become clear about the assumptions, premises and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is achievable or necessary like the articles in the first 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. |
| Beschreibung: | 1 online resource (184 pages). |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9783110323689 3110323680 |
Internformat
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| 245 | 0 | 0 | |a Philosophy of mathematics : |b set theory, measuring theories, and nominalism / |c Gerhard Preyer, Georg Peter (eds.). |
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| 505 | 0 | |a Preface / Gerhard Preyer, Georg Peter -- Representationalism and set-theoretic paradox / Douglas Patterson -- Who's afraid of inconsistent mathematics? / Mark Colyvan -- Logical and semantic puritiy [i.e. purity] / Andrew Arana -- On using measuring numbers according to measuring theories / Wilhelm K. Essler -- The compulsion to believe: logical inference and normativity / Jody Azzouni -- Nominalism and mathematical intuition / Otávio Bueno -- Jobless objects: mathematical posits in crisis / Yvonne Raley -- Is indispensability still a problem for fictionalism? / Susan Vineberg -- Mill, Frege and the unity of mathematics / Madeline Muntersbjorn -- Descartes on mathematical essences / Raffaella de Rosa and Otávio Bueno. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a One main interest of philosophy is to become clear about the assumptions, premises and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is achievable or necessary like the articles in the first 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. | ||
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| 700 | 1 | |a Preyer, Gerhard. | |
| 700 | 1 | |a Peter, Georg. | |
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| contents | Preface / Gerhard Preyer, Georg Peter -- Representationalism and set-theoretic paradox / Douglas Patterson -- Who's afraid of inconsistent mathematics? / Mark Colyvan -- Logical and semantic puritiy [i.e. purity] / Andrew Arana -- On using measuring numbers according to measuring theories / Wilhelm K. Essler -- The compulsion to believe: logical inference and normativity / Jody Azzouni -- Nominalism and mathematical intuition / Otávio Bueno -- Jobless objects: mathematical posits in crisis / Yvonne Raley -- Is indispensability still a problem for fictionalism? / Susan Vineberg -- Mill, Frege and the unity of mathematics / Madeline Muntersbjorn -- Descartes on mathematical essences / Raffaella de Rosa and Otávio Bueno. |
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| dewey-ones | 510 - Mathematics |
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| discipline | Mathematik |
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| genre | Aufsatzsammlung. |
| genre_facet | Aufsatzsammlung. |
| id | ZDB-4-EBA-ocn853623249 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:27Z |
| institution | BVB |
| isbn | 9783110323689 3110323680 |
| language | English |
| oclc_num | 853623249 |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (184 pages). |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Ontos, |
| record_format | marc |
| series | Logos (Frankfurt am Main, Germany) ; |
| series2 | Logos ; |
| spelling | Philosophy of mathematics : set theory, measuring theories, and nominalism / Gerhard Preyer, Georg Peter (eds.). Frankfurt ; New Brunswick : Ontos, 2008. 1 online resource (184 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier Logos ; Bd. 13 Includes bibliographical references. Preface / Gerhard Preyer, Georg Peter -- Representationalism and set-theoretic paradox / Douglas Patterson -- Who's afraid of inconsistent mathematics? / Mark Colyvan -- Logical and semantic puritiy [i.e. purity] / Andrew Arana -- On using measuring numbers according to measuring theories / Wilhelm K. Essler -- The compulsion to believe: logical inference and normativity / Jody Azzouni -- Nominalism and mathematical intuition / Otávio Bueno -- Jobless objects: mathematical posits in crisis / Yvonne Raley -- Is indispensability still a problem for fictionalism? / Susan Vineberg -- Mill, Frege and the unity of mathematics / Madeline Muntersbjorn -- Descartes on mathematical essences / Raffaella de Rosa and Otávio Bueno. Print version record. One main interest of philosophy is to become clear about the assumptions, premises and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is achievable or necessary like the articles in the first 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. Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Set theory Philosophy. Measure theory Philosophy. Nominalism. http://id.loc.gov/authorities/subjects/sh85092210 Mathématiques Philosophie. Théorie des ensembles Philosophie. Théorie de la mesure Philosophie. Nominalisme. nominalism. aat MATHEMATICS History & Philosophy. bisacsh Mathematics Philosophy fast Nominalism fast Aufsatzsammlung. Preyer, Gerhard. Peter, Georg. Print version: Philosophy of mathematics. Frankfurt ; New Brunswick : Ontos, 2008 9783868380095 (OCoLC)264694024 Logos (Frankfurt am Main, Germany) ; Bd. 13. http://id.loc.gov/authorities/names/no2003126068 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=603631 Volltext |
| spellingShingle | Philosophy of mathematics : set theory, measuring theories, and nominalism / Logos (Frankfurt am Main, Germany) ; Preface / Gerhard Preyer, Georg Peter -- Representationalism and set-theoretic paradox / Douglas Patterson -- Who's afraid of inconsistent mathematics? / Mark Colyvan -- Logical and semantic puritiy [i.e. purity] / Andrew Arana -- On using measuring numbers according to measuring theories / Wilhelm K. Essler -- The compulsion to believe: logical inference and normativity / Jody Azzouni -- Nominalism and mathematical intuition / Otávio Bueno -- Jobless objects: mathematical posits in crisis / Yvonne Raley -- Is indispensability still a problem for fictionalism? / Susan Vineberg -- Mill, Frege and the unity of mathematics / Madeline Muntersbjorn -- Descartes on mathematical essences / Raffaella de Rosa and Otávio Bueno. Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Set theory Philosophy. Measure theory Philosophy. Nominalism. http://id.loc.gov/authorities/subjects/sh85092210 Mathématiques Philosophie. Théorie des ensembles Philosophie. Théorie de la mesure Philosophie. Nominalisme. nominalism. aat MATHEMATICS History & Philosophy. bisacsh Mathematics Philosophy fast Nominalism fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082153 http://id.loc.gov/authorities/subjects/sh85092210 |
| 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 / Gerhard Preyer, Georg Peter (eds.). |
| title_fullStr | Philosophy of mathematics : set theory, measuring theories, and nominalism / Gerhard Preyer, Georg Peter (eds.). |
| title_full_unstemmed | Philosophy of mathematics : set theory, measuring theories, and nominalism / Gerhard Preyer, Georg Peter (eds.). |
| 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 | Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Set theory Philosophy. Measure theory Philosophy. Nominalism. http://id.loc.gov/authorities/subjects/sh85092210 Mathématiques Philosophie. Théorie des ensembles Philosophie. Théorie de la mesure Philosophie. Nominalisme. nominalism. aat MATHEMATICS History & Philosophy. bisacsh Mathematics Philosophy fast Nominalism fast |
| topic_facet | Mathematics Philosophy. Set theory Philosophy. Measure theory Philosophy. Nominalism. Mathématiques Philosophie. Théorie des ensembles Philosophie. Théorie de la mesure Philosophie. Nominalisme. nominalism. MATHEMATICS History & Philosophy. Mathematics Philosophy Nominalism Aufsatzsammlung. |
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