Phenomenology, logic, and the philosophy of mathematics:
Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and tra...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBG01 Volltext |
| Zusammenfassung: | Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and Roger Penrose. Part III deals with elementary, constructive areas of mathematics. These are areas of mathematics that are closer to their origins in simple cognitive activities and in everyday experience. This part of the book contains essays on intuitionism, Hermann Weyl, the notion of constructive proof, Poincaré and Frege |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 357 pages) |
| ISBN: | 9780511498589 |
| DOI: | 10.1017/CBO9780511498589 |
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| 505 | 8 | 0 | |t Introduction : themes and issues |g Pt. I. |t Reason, science, and mathematics |g 1 |t Science as a triumph of the human spirit and science in crisis : Husserl and the fortunes of reason |g 2 |t Mathematics and transcendental phenomenology |g 3 |t Free variation and the intuition of geometric essences : some reflections on phenomenology and modern geometry |g Pt. II. |t Kurt Godel, phenomenology, and the philosophy of mathematics |g 4 |t Kurt Godel and phenomenology |g 5 |t Godel's philosophical remarks on logic and mathematics |g 6 |t Godel's path from the incompleteness theorems (1931) to phenomenology (1961) |g 7 |t Godel and the intuition of concepts |g 8 |t Godel and Quine on meaning and mathematics |g 9 |t Maddy on realism in mathematics |g 10 |t Penrose on minds and machines |g Pt. III. |t Constructivism, fulfillable intentions, and origins |g 11 |t Intuitionism, meaning theory, and cognition |g 12 |t philosophical background of Weyl's mathematical constructivism |g 13 |t Proofs and fulfillable mathematical intentions |g 14 |t Logicism, impredicativity, formalism : some remarks on Poincare and Husserl |g 15 |t philosophy of arithmetic : Frege and Husserl |
| 520 | |a Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and Roger Penrose. Part III deals with elementary, constructive areas of mathematics. These are areas of mathematics that are closer to their origins in simple cognitive activities and in everyday experience. This part of the book contains essays on intuitionism, Hermann Weyl, the notion of constructive proof, Poincaré and Frege | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Tieszen, Richard L. |
| author_facet | Tieszen, Richard L. |
| author_role | aut |
| author_sort | Tieszen, Richard L. |
| author_variant | r l t rl rlt |
| building | Verbundindex |
| bvnumber | BV043927436 |
| classification_rvk | CC 2600 SK 130 |
| collection | ZDB-20-CBO |
| contents | Introduction : themes and issues Reason, science, and mathematics Science as a triumph of the human spirit and science in crisis : Husserl and the fortunes of reason Mathematics and transcendental phenomenology Free variation and the intuition of geometric essences : some reflections on phenomenology and modern geometry Kurt Godel, phenomenology, and the philosophy of mathematics Kurt Godel and phenomenology Godel's philosophical remarks on logic and mathematics Godel's path from the incompleteness theorems (1931) to phenomenology (1961) Godel and the intuition of concepts Godel and Quine on meaning and mathematics Maddy on realism in mathematics Penrose on minds and machines Constructivism, fulfillable intentions, and origins Intuitionism, meaning theory, and cognition philosophical background of Weyl's mathematical constructivism Proofs and fulfillable mathematical intentions Logicism, impredicativity, formalism : some remarks on Poincare and Husserl philosophy of arithmetic : Frege and Husserl |
| ctrlnum | (ZDB-20-CBO)CR9780511498589 (OCoLC)850520915 (DE-599)BVBBV043927436 |
| 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/CBO9780511498589 |
| format | Electronic eBook |
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| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Tieszen, Richard L. Verfasser aut Phenomenology, logic, and the philosophy of mathematics Richard Tieszen Phenomenology, Logic, & the Philosophy of Mathematics Cambridge Cambridge University Press 2005 1 online resource (x, 357 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Introduction : themes and issues Pt. I. Reason, science, and mathematics 1 Science as a triumph of the human spirit and science in crisis : Husserl and the fortunes of reason 2 Mathematics and transcendental phenomenology 3 Free variation and the intuition of geometric essences : some reflections on phenomenology and modern geometry Pt. II. Kurt Godel, phenomenology, and the philosophy of mathematics 4 Kurt Godel and phenomenology 5 Godel's philosophical remarks on logic and mathematics 6 Godel's path from the incompleteness theorems (1931) to phenomenology (1961) 7 Godel and the intuition of concepts 8 Godel and Quine on meaning and mathematics 9 Maddy on realism in mathematics 10 Penrose on minds and machines Pt. III. Constructivism, fulfillable intentions, and origins 11 Intuitionism, meaning theory, and cognition 12 philosophical background of Weyl's mathematical constructivism 13 Proofs and fulfillable mathematical intentions 14 Logicism, impredicativity, formalism : some remarks on Poincare and Husserl 15 philosophy of arithmetic : Frege and Husserl Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and Roger Penrose. Part III deals with elementary, constructive areas of mathematics. These are areas of mathematics that are closer to their origins in simple cognitive activities and in everyday experience. This part of the book contains essays on intuitionism, Hermann Weyl, the notion of constructive proof, Poincaré and Frege Gödel, Kurt 1906-1978 (DE-588)11869569X gnd rswk-swf Mathematik Philosophie Mathematics / Philosophy Phenomenology Logic, Symbolic and mathematical Constructive mathematics Intuitionistic mathematics Phänomenologie (DE-588)4045660-2 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s Phänomenologie (DE-588)4045660-2 s Mathematische Logik (DE-588)4037951-6 s 2\p DE-604 Gödel, Kurt 1906-1978 (DE-588)11869569X p 3\p DE-604 Erscheint auch als Druckausgabe 978-0-521-11998-6 Erscheint auch als Druckausgabe 978-0-521-83782-8 https://doi.org/10.1017/CBO9780511498589 Verlag URL des Erstveröffentlichers 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tieszen, Richard L. Phenomenology, logic, and the philosophy of mathematics Introduction : themes and issues Reason, science, and mathematics Science as a triumph of the human spirit and science in crisis : Husserl and the fortunes of reason Mathematics and transcendental phenomenology Free variation and the intuition of geometric essences : some reflections on phenomenology and modern geometry Kurt Godel, phenomenology, and the philosophy of mathematics Kurt Godel and phenomenology Godel's philosophical remarks on logic and mathematics Godel's path from the incompleteness theorems (1931) to phenomenology (1961) Godel and the intuition of concepts Godel and Quine on meaning and mathematics Maddy on realism in mathematics Penrose on minds and machines Constructivism, fulfillable intentions, and origins Intuitionism, meaning theory, and cognition philosophical background of Weyl's mathematical constructivism Proofs and fulfillable mathematical intentions Logicism, impredicativity, formalism : some remarks on Poincare and Husserl philosophy of arithmetic : Frege and Husserl Gödel, Kurt 1906-1978 (DE-588)11869569X gnd Mathematik Philosophie Mathematics / Philosophy Phenomenology Logic, Symbolic and mathematical Constructive mathematics Intuitionistic mathematics Phänomenologie (DE-588)4045660-2 gnd Mathematische Logik (DE-588)4037951-6 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)11869569X (DE-588)4045660-2 (DE-588)4037951-6 (DE-588)4045791-6 (DE-588)4037944-9 (DE-588)4143413-4 |
| title | Phenomenology, logic, and the philosophy of mathematics |
| title_alt | Phenomenology, Logic, & the Philosophy of Mathematics Introduction : themes and issues Reason, science, and mathematics Science as a triumph of the human spirit and science in crisis : Husserl and the fortunes of reason Mathematics and transcendental phenomenology Free variation and the intuition of geometric essences : some reflections on phenomenology and modern geometry Kurt Godel, phenomenology, and the philosophy of mathematics Kurt Godel and phenomenology Godel's philosophical remarks on logic and mathematics Godel's path from the incompleteness theorems (1931) to phenomenology (1961) Godel and the intuition of concepts Godel and Quine on meaning and mathematics Maddy on realism in mathematics Penrose on minds and machines Constructivism, fulfillable intentions, and origins Intuitionism, meaning theory, and cognition philosophical background of Weyl's mathematical constructivism Proofs and fulfillable mathematical intentions Logicism, impredicativity, formalism : some remarks on Poincare and Husserl philosophy of arithmetic : Frege and Husserl |
| title_auth | Phenomenology, logic, and the philosophy of mathematics |
| title_exact_search | Phenomenology, logic, and the philosophy of mathematics |
| title_full | Phenomenology, logic, and the philosophy of mathematics Richard Tieszen |
| title_fullStr | Phenomenology, logic, and the philosophy of mathematics Richard Tieszen |
| title_full_unstemmed | Phenomenology, logic, and the philosophy of mathematics Richard Tieszen |
| title_short | Phenomenology, logic, and the philosophy of mathematics |
| title_sort | phenomenology logic and the philosophy of mathematics |
| topic | Gödel, Kurt 1906-1978 (DE-588)11869569X gnd Mathematik Philosophie Mathematics / Philosophy Phenomenology Logic, Symbolic and mathematical Constructive mathematics Intuitionistic mathematics Phänomenologie (DE-588)4045660-2 gnd Mathematische Logik (DE-588)4037951-6 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Gödel, Kurt 1906-1978 Mathematik Philosophie Mathematics / Philosophy Phenomenology Logic, Symbolic and mathematical Constructive mathematics Intuitionistic mathematics Phänomenologie Mathematische Logik Aufsatzsammlung |
| url | https://doi.org/10.1017/CBO9780511498589 |
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