Metaphysical myths, mathematical practice: the ontology and epistemology of the exact sciences
Most philosophers of mathematics try to show either that the sort of knowledge mathematicians have is similar to the sort of knowledge specialists in the empirical sciences have or that the kind of knowledge mathematicians have, although apparently about objects such as numbers, sets, and so on, isn...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
1994
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| Online-Zugang: | BSB01 FHN01 UBG01 Volltext |
| Zusammenfassung: | Most philosophers of mathematics try to show either that the sort of knowledge mathematicians have is similar to the sort of knowledge specialists in the empirical sciences have or that the kind of knowledge mathematicians have, although apparently about objects such as numbers, sets, and so on, isn't really about those sorts of things as well. Jody Azzouni argues that mathematical knowledge really is a special kind of knowledge with its own special means of gathering evidence. He analyses the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a picture of mathematics both sensitive to mathematical practice, and to the ontological and epistemological issues that concern philosophers |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (ix, 249 pages) |
| ISBN: | 9780511551291 |
| DOI: | 10.1017/CBO9780511551291 |
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| 505 | 8 | |a pt. I. Mathematical Practice and Its Puzzles. 1. Metaphysical Inertness. 2. Metaphysical Inertness and Reference. 3. The Virtues of (Second-Order) Theft. 4. Intuitions about Reference and Axiom Systems. 5. Comparing Mathematical Terms and Empirical Terms I. 6. Comparing Mathematical Terms and Empirical Terms II. 7. The Epistemic Role Puzzle. 8. Benacerraf's Puzzle. 9. Comparing Puzzles. 10. Quine's Approach I. 11. Quine's Approach II -- pt. II. The Stuff of Mathematics: Posits and Algorithms. 2. An Initial Picture. 3. Application and Truth. 4. Systems, Application, and Truth. 5. Quine's Objections to Truth by Convention. 6. Grades of Ontological Commitment. 7. Multiply Interpreting Systems. 8. Intuitions about Reference Revisited -- pt. III. The Geography of the a Priori. 2. Algorithms Again. 3. Some Observations on Metamathematics. 4. Incorrigible Co-empiricalness. 5. Why There Are No Incorrigible Co-empirical Truths. 6. Normative Considerations, the Success of Applied Mathematics, Concluding Thoughts | |
| 520 | |a Most philosophers of mathematics try to show either that the sort of knowledge mathematicians have is similar to the sort of knowledge specialists in the empirical sciences have or that the kind of knowledge mathematicians have, although apparently about objects such as numbers, sets, and so on, isn't really about those sorts of things as well. Jody Azzouni argues that mathematical knowledge really is a special kind of knowledge with its own special means of gathering evidence. He analyses the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a picture of mathematics both sensitive to mathematical practice, and to the ontological and epistemological issues that concern philosophers | ||
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Datensatz im Suchindex
| _version_ | 1804176849107943424 |
|---|---|
| any_adam_object | |
| author | Azzouni, Jody |
| author_facet | Azzouni, Jody |
| author_role | aut |
| author_sort | Azzouni, Jody |
| author_variant | j a ja |
| building | Verbundindex |
| bvnumber | BV043924171 |
| classification_rvk | CC 2600 SG 700 |
| collection | ZDB-20-CBO |
| contents | pt. I. Mathematical Practice and Its Puzzles. 1. Metaphysical Inertness. 2. Metaphysical Inertness and Reference. 3. The Virtues of (Second-Order) Theft. 4. Intuitions about Reference and Axiom Systems. 5. Comparing Mathematical Terms and Empirical Terms I. 6. Comparing Mathematical Terms and Empirical Terms II. 7. The Epistemic Role Puzzle. 8. Benacerraf's Puzzle. 9. Comparing Puzzles. 10. Quine's Approach I. 11. Quine's Approach II -- pt. II. The Stuff of Mathematics: Posits and Algorithms. 2. An Initial Picture. 3. Application and Truth. 4. Systems, Application, and Truth. 5. Quine's Objections to Truth by Convention. 6. Grades of Ontological Commitment. 7. Multiply Interpreting Systems. 8. Intuitions about Reference Revisited -- pt. III. The Geography of the a Priori. 2. Algorithms Again. 3. Some Observations on Metamathematics. 4. Incorrigible Co-empiricalness. 5. Why There Are No Incorrigible Co-empirical Truths. 6. Normative Considerations, the Success of Applied Mathematics, Concluding Thoughts |
| ctrlnum | (ZDB-20-CBO)CR9780511551291 (OCoLC)849880025 (DE-599)BVBBV043924171 |
| dewey-full | 510/.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.1 |
| dewey-search | 510/.1 |
| dewey-sort | 3510 11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| doi_str_mv | 10.1017/CBO9780511551291 |
| format | Electronic eBook |
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| id | DE-604.BV043924171 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:38:43Z |
| institution | BVB |
| isbn | 9780511551291 |
| language | English |
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| spelling | Azzouni, Jody Verfasser aut Metaphysical myths, mathematical practice the ontology and epistemology of the exact sciences Jody Azzouni Cambridge Cambridge University Press 1994 1 online resource (ix, 249 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) pt. I. Mathematical Practice and Its Puzzles. 1. Metaphysical Inertness. 2. Metaphysical Inertness and Reference. 3. The Virtues of (Second-Order) Theft. 4. Intuitions about Reference and Axiom Systems. 5. Comparing Mathematical Terms and Empirical Terms I. 6. Comparing Mathematical Terms and Empirical Terms II. 7. The Epistemic Role Puzzle. 8. Benacerraf's Puzzle. 9. Comparing Puzzles. 10. Quine's Approach I. 11. Quine's Approach II -- pt. II. The Stuff of Mathematics: Posits and Algorithms. 2. An Initial Picture. 3. Application and Truth. 4. Systems, Application, and Truth. 5. Quine's Objections to Truth by Convention. 6. Grades of Ontological Commitment. 7. Multiply Interpreting Systems. 8. Intuitions about Reference Revisited -- pt. III. The Geography of the a Priori. 2. Algorithms Again. 3. Some Observations on Metamathematics. 4. Incorrigible Co-empiricalness. 5. Why There Are No Incorrigible Co-empirical Truths. 6. Normative Considerations, the Success of Applied Mathematics, Concluding Thoughts Most philosophers of mathematics try to show either that the sort of knowledge mathematicians have is similar to the sort of knowledge specialists in the empirical sciences have or that the kind of knowledge mathematicians have, although apparently about objects such as numbers, sets, and so on, isn't really about those sorts of things as well. Jody Azzouni argues that mathematical knowledge really is a special kind of knowledge with its own special means of gathering evidence. He analyses the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a picture of mathematics both sensitive to mathematical practice, and to the ontological and epistemological issues that concern philosophers Mathematik Philosophie Mathematics / Philosophy Mathematik (DE-588)4037944-9 gnd rswk-swf Erkenntnistheorie (DE-588)4070914-0 gnd rswk-swf Ontologie (DE-588)4075660-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s Erkenntnistheorie (DE-588)4070914-0 s Ontologie (DE-588)4075660-9 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-06219-0 Erscheint auch als Druckausgabe 978-0-521-44223-7 https://doi.org/10.1017/CBO9780511551291 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Azzouni, Jody Metaphysical myths, mathematical practice the ontology and epistemology of the exact sciences pt. I. Mathematical Practice and Its Puzzles. 1. Metaphysical Inertness. 2. Metaphysical Inertness and Reference. 3. The Virtues of (Second-Order) Theft. 4. Intuitions about Reference and Axiom Systems. 5. Comparing Mathematical Terms and Empirical Terms I. 6. Comparing Mathematical Terms and Empirical Terms II. 7. The Epistemic Role Puzzle. 8. Benacerraf's Puzzle. 9. Comparing Puzzles. 10. Quine's Approach I. 11. Quine's Approach II -- pt. II. The Stuff of Mathematics: Posits and Algorithms. 2. An Initial Picture. 3. Application and Truth. 4. Systems, Application, and Truth. 5. Quine's Objections to Truth by Convention. 6. Grades of Ontological Commitment. 7. Multiply Interpreting Systems. 8. Intuitions about Reference Revisited -- pt. III. The Geography of the a Priori. 2. Algorithms Again. 3. Some Observations on Metamathematics. 4. Incorrigible Co-empiricalness. 5. Why There Are No Incorrigible Co-empirical Truths. 6. Normative Considerations, the Success of Applied Mathematics, Concluding Thoughts Mathematik Philosophie Mathematics / Philosophy Mathematik (DE-588)4037944-9 gnd Erkenntnistheorie (DE-588)4070914-0 gnd Ontologie (DE-588)4075660-9 gnd Philosophie (DE-588)4045791-6 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4070914-0 (DE-588)4075660-9 (DE-588)4045791-6 |
| title | Metaphysical myths, mathematical practice the ontology and epistemology of the exact sciences |
| title_auth | Metaphysical myths, mathematical practice the ontology and epistemology of the exact sciences |
| title_exact_search | Metaphysical myths, mathematical practice the ontology and epistemology of the exact sciences |
| title_full | Metaphysical myths, mathematical practice the ontology and epistemology of the exact sciences Jody Azzouni |
| title_fullStr | Metaphysical myths, mathematical practice the ontology and epistemology of the exact sciences Jody Azzouni |
| title_full_unstemmed | Metaphysical myths, mathematical practice the ontology and epistemology of the exact sciences Jody Azzouni |
| title_short | Metaphysical myths, mathematical practice |
| title_sort | metaphysical myths mathematical practice the ontology and epistemology of the exact sciences |
| title_sub | the ontology and epistemology of the exact sciences |
| topic | Mathematik Philosophie Mathematics / Philosophy Mathematik (DE-588)4037944-9 gnd Erkenntnistheorie (DE-588)4070914-0 gnd Ontologie (DE-588)4075660-9 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Mathematik Philosophie Mathematics / Philosophy Erkenntnistheorie Ontologie |
| url | https://doi.org/10.1017/CBO9780511551291 |
| work_keys_str_mv | AT azzounijody metaphysicalmythsmathematicalpracticetheontologyandepistemologyoftheexactsciences |