Kant and mathematics today: between epistemology and exact sciences
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Lewiston [u.a.]
Mellen
1997
|
| Series: | Problems in contemporary philosophy
39 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | III, 380 S. |
| ISBN: | 0773485112 |
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MARC
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Record in the Search Index
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KANT AND MATHEMATICS TODAY BETWEEN EPISTEMOLOGY AND EXACT SCIENCES J.
FANG PROBLEMS IN CONTEMPRARY PHILOSOPHY VOLUME 39 . THE EDWIN MELLEN
PRESS LEWISTON'QUEENSTON'LAMPETER TABLE OF CONTENTS PREFACE I PROLOGUE 1
I. INTRODUCTION : RETROSPECT AND PROSPECT 5 1. AN INVARIABLY "ADEQUATE"
EPISTEMOLOGY? (5) 2. A FORERUNNER: NICOLAUS CUSANUS (9) 3. PARALLAXES,
NOT PARADOXES (12) 4. THE FOUR SPHERES OF TRUTHS (15) 5. KANT AND
MATHEMATICS TODAY (20) 6. SUMMING UP (26) II. KANT THE "TOUGH - MINDED":
AN EPISTEMOLOGICAL FRAME OF REFERENCE . 37 1. THE "PERSONALITY" FACTOR
(37) 2. THE TWO SIDES OF THE SAME COIN (39) 3. KANT'S OWN "METHOD" (45)
4. THE ORGANIC WHOLE (47) 5. PHILOSOPHIA QUA METHODUS (52) 6. THE PERILS
OF "PRESENTISM" (57) III. PARALLAXES, NOT PARADOXES: A PARALLEL BETWEEN
EPISTEMOLOGY AND MATHEMATICS 63 1. THE INCOMMENSURABLE (63) 2. THE
ILLUSORY INFINITE (69) 3. THE GOOD OLD "L'ESPRIT GEOMETRIQUE" (74) 4.
MATHEMATICS TODAY AND YESTERDAY (80) 5. PARALLAXES OF VARIOUS KINDS (86)
6. THE ABYSS BETWEEN QUANTITY AND QUALITY (90) 7. ONE PHILOSOPHICAL
MISTAKE (95) 8. SOME PROBLEMS IN CONCRETE (97) IV. KANT AND MODERN
MATHEMATICS 107 A. PHILOSOPHY AND THE MATHEMATICIANS (107) 1.
INTRODUCTION (107) 2. KANT VERSUS WEYL (108) 3. A MOCKERY OF
PHILOSOPHICAL PURSUIT (112) B. THE NATURE OF MATHEMATICS (115) 4. A
BRIEF CASE HISTORY (115) 5. THE WONDER OF MATHEMATICS (118) 6.
MATHEMATICS A LA KANT (120) C. FRAGMENTS FROM AN EXEGETIC STUDY (123) 7.
LOCAL VS. GLOBAL (123) 8. ANALYSIS VS. SYNTHESIS (125) 9. THE CRITICAL
METHOD (130) 10. TERMINUS TECHNICUS (135) V. THE KANTIAN MYTH 139 1. THE
"DEFORMATIONS PROFESSIONNELLES" (139) 2. THE "TRANSCENDENTAL METHOD"
(141) 3. THE "INTUITION IN GENERAL" (149) 4. THE"ANTINOMIENPROBLEM"(157)
5. THE PERILS OF PRESENTISM (169) VI. A "MARTIN-IZED" KANT 175 1. AN
UNFILIAL PUPIL (175) 2. ANACHRONISTIC MISINTERPRETATIONS (177) 3. A
"MARTINIZED" KANT (184) 4. THE FIRST "MARTINIZATION" (186) VII.
AXIOMATIC EXPLORATIONS AND EXPOSITIONS 209 1. INTRODUCTION (209) 2.
EXPOSITION (210) 3. EXPLORATION (212) 4. THE EXPERIMENTAL METHOD (216)
5. THREE TYPES OF AXIOMATICS (218) 6. AXIOMATIC DIDACTICS (219) APPENDIX
: AXIOMATIC THINKING BY DAVID HILBERT 223 VIII. KANT IN GOTTINGEN 235 1.
THE PROBLEM (237) 2. A NON-EUCLIDEAN GEOMETRY BEFORE EUCLID (239) 3. A
"ZEITGEIST" AND NON-EUCLIDEAN GEOMETRIES (244) 4. FROM KANT TO GAUSS
(251) 5. THE SERENDIPITY VS. THE SOCIAL FORCE (255) IX. KANT AS
"MATHEMATIKER": A HISTORICAL INQUIRY 261 1. THE PROBLEM (263) 2. A
HISTORICAL APPROACH (264) 3. THE BEGINNING OF A MYTH (267) 4.
KANT-INTERPRETATION (272) 5. SOME DEADLY TRAPS IN RETROSPECT (275) 6. A
PUNCTUATED EQUILIBRIUM (281) 7. MISSING THE BOAT (285) 8. THE MYSTERY OF
EPONYMY (292) 9. A "COUNTRY BUMPKIN" (300) 10. HISTORICAL TWISTS (305)
ADDENDA (1993) (311) X. "DEUS EX MACHINA" REDIVIVUS : THE "SYNTHETIC A
PRIORI" IN THE COMPUTER AGE 315 1. THE PROBLEM (317) 2. THE DOMAIN OF
DISCOURSE (320) 3. DEUS EX MACHINA (325) 4. HUMAN, ALL TOO HUMAN! (328)
ADDENDUM : STEPHEN R. PALMQUIST. THE SYNTHETICITY OF TIME : COMMENTS ON
FANG'S CRITIQUE OF DIVINE COMPUTERS 335 REJOINDER BY FANG: "UNUM POST
ALIUD" 338 EPILOGUE 349 SELECTIVE BIBLIOGRAPHY 357 INDEX 371 |
| any_adam_object | 1 |
| author | Fang, J. Cheung, Kwong-Leung |
| author_facet | Fang, J. Cheung, Kwong-Leung |
| author_role | aut aut |
| author_sort | Fang, J. |
| author_variant | j f jf k l c klc |
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| 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 |
| format | Book |
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| indexdate | 2025-01-31T15:03:38Z |
| institution | BVB |
| isbn | 0773485112 |
| language | English |
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| physical | III, 380 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Mellen |
| record_format | marc |
| series | Problems in contemporary philosophy |
| series2 | Problems in contemporary philosophy |
| spelling | Fang, J. Verfasser aut Kant and mathematics today between epistemology and exact sciences J. Fang Lewiston [u.a.] Mellen 1997 III, 380 S. txt rdacontent n rdamedia nc rdacarrier Problems in contemporary philosophy 39 Kant, Immanuel 1724-1804 (DE-588)118559796 gnd rswk-swf Erkenntnistheorie (DE-588)4070914-0 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Kant, Immanuel 1724-1804 (DE-588)118559796 p Mathematik (DE-588)4037944-9 s DE-604 Erkenntnistheorie (DE-588)4070914-0 s DE-188 Cheung, Kwong-Leung Verfasser aut Problems in contemporary philosophy 39 (DE-604)BV000018912 39 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007925333&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fang, J. Cheung, Kwong-Leung Kant and mathematics today between epistemology and exact sciences Problems in contemporary philosophy Kant, Immanuel 1724-1804 (DE-588)118559796 gnd Erkenntnistheorie (DE-588)4070914-0 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)118559796 (DE-588)4070914-0 (DE-588)4037944-9 |
| title | Kant and mathematics today between epistemology and exact sciences |
| title_auth | Kant and mathematics today between epistemology and exact sciences |
| title_exact_search | Kant and mathematics today between epistemology and exact sciences |
| title_full | Kant and mathematics today between epistemology and exact sciences J. Fang |
| title_fullStr | Kant and mathematics today between epistemology and exact sciences J. Fang |
| title_full_unstemmed | Kant and mathematics today between epistemology and exact sciences J. Fang |
| title_short | Kant and mathematics today |
| title_sort | kant and mathematics today between epistemology and exact sciences |
| title_sub | between epistemology and exact sciences |
| topic | Kant, Immanuel 1724-1804 (DE-588)118559796 gnd Erkenntnistheorie (DE-588)4070914-0 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Kant, Immanuel 1724-1804 Erkenntnistheorie Mathematik |
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