Aristotle and mathematics: aporetic method in cosmology and metaphysics
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Leiden u.a.
Brill
1995
|
| Series: | Philosophia antiqua
67 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXXVI, 558 S. |
| ISBN: | 9004101594 |
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Record in the Search Index
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| adam_text | ARISTOTLE AND MATHEMATICS APORETIC METHOD IN COSMOLOGY AND METAPHYSICS
BY JOHNJ. CLEARY EJ. BRILL LEIDEN * NEW YORK * KOLN 1995 TABLE OF
CONTENTS VORWORT XV PREFACE BY HANS-GEORG GADAMER XI ACKNOWLEDGEMENTS
XIX ABBREVIATIONS XXII INTRODUCTION XXV CHAPTER ONE: THE ACADEMIC
BACKGROUND 1 I. MATHEMATICS AND DIALECTIC 2 1.1. DISCOVERING THEORETICAL
OBJECTS 2 1.2. GEOMETRY AND ASTRONOMY AS PROPAIDEUTIC 12 1.3. DIALECTIC
AS THE MISTRESS-SCIENCE 18 II. PLATO S MATHEMATICAL COSMOLOGY 23 ILL THE
DEMAND FOR TELEOLOGICAL EXPLANATION 23 11.2. THE WORKS OF REASON 27
11.3. THE ROLE OF THE DEMIURGE 29 11.4. THE MATHEMATICAL ORDERING OF THE
WORLD-BODY .... 31 11.5. PHYSICAL REASONS FOR THE UNITY OF THE COSMOS 33
11.6. THE NUMERICAL STRUCTURE OF THE WORLD-SOUL 34 11.7. TIME, THE
MOVING IMAGE OF ETERNITY 40 III. REASON AND NECESSITY 42 111.1. THINGS
GENERATED BY NECESSITY 46 111.2. THE RECEPTACLE 48 111.3. GENERATION IN
THE RECEPTACLE 54 IV. SAVING THE PHENOMENA 64 CONCLUSION 67 CHAPTER TWO:
ARISTOTLE S CRITICISM OF PLATO S MATHEMATICAL COSMOLOGY 71 I.
ARISTOTLE S RESPONSE TO THE TIMAEUS DIALOGUE 71 1.1. THE PROGRAM OF DE
CAELO 72 1.2. GEOMETRICAL DETERMINATION OF THE UNIVERSE 73 1.3. THE
INFINITE DIVISIBILITY OF THE CONTINUUM 74 II. THE QUESTION ABOUT
INFINITY 78 II.L. THE CASE FOR THE INFINITE 80 III. THE ETERNALITY OF
THE UNIVERSE 86 VLLL CONTENTS IV. GENERATION AND CORRUPTION IN THE
SUBLUNARY WORLD ... 90 V. THE PROBLEM OF WEIGHT 95 VI. THE PROBLEM OF
MOVEMENT AND REST 101 VII. THE SUBLUNARY ELEMENTS: THEIR NATURE AND
GENERATION 106 VIII. THE MODE OF GENERATION OF THE ELEMENTS 109 IX. THE
LOCOMOTION OF THE ELEMENTS 122 X. PHYSICS AND MATHEMATICS 1.34
CONCLUSION 140 CHAPTER THREE: PROBLEMS ABOUT MATHEMATICAL OBJECTS 143 I.
THE CATEGORY OF QUANTITY 143 II. THE MATHEMATICAL ONTOLOGY OF
ARISTOTLE S TOPICS 148 III. THE BREAK WITH PLATONISM 159 III. 1.
ARGUMENTS FOR PLATONIC FORMS 162 IV. THE PARADIGM FOR DEMONSTRATIVE
KNOWLEDGE 172 V. A SCIENCE OF BEING SIMPLICITER 189 CONCLUSION 198
CHAPTER FOUR: ARISTOTLE S DIALECTICAL METHOD ... . . 199 I. METHODOLOGY
200 1.1. THE NEED TO REVIEW THE DIFFICULTIES 201 1.2. THE PRIMACY OF THE
DIALECTICAL REVIEW 203 II. SOME METAPHYSICAL APORIAE 205 III. WORKING
THROUGH THE DIFFICULTIES 213 IV. THE DIFFICULTIES ABOUT MATHEMATICAL
OBJECTS 225 V. THE DIFFICULTIES ABOUT FORMS AND INTERMEDIATES 242 VI.
APORETIC CONCLUSIONS 264 CHAPTER FIVE: THE ONTOLOGICAL STATUS OF
MATHEMATICAL OBJECTS 268 I. THE PROGRAM OF METAPHYSICS XIII 268 II. THE
REFUTATION OF OPPONENTS 278 ILL MATHEMATICAL OBJECTS IN SENSIBLE
SUBSTANCES 281 11.2. MATHEMATICAL OBJECTS AS SEPARATED SUBSTANCES 284
11.3. AN ABSURD CLUTTER OF SCIENTIFIC OBJECTS 284 III. DIFFICULTIES
BECOME OBJECTIONS 288 III. 1. ARGUMENT FROM GENERAL THEORY OF PROPORTION
289 III.2. OBJECTIONS FROM COMMON SENSE 293 CONTENTS IX IV. UNTYING THE
KNOTS 307 IV.L. ARISTOTLE S THEORY OF SUBTRACTION 312 IV.2. ARGUMENTS
FROM TRUTH 318 IV.3. ARGUMENTS FROM ACCURACY 324 IV.4. QUESTIONS ABOUT
FALSE ASSUMPTIONS 327 V. MATHEMATICS AND THE GOOD 339 CONCLUSION 343
CHAPTER SIX: THE PERFECTION OF THE COSMOS 345 I. FORM NUMBERS 346 II.
THE DIFFICULTIES ABOUT FORM NUMBERS 357 III. THE ONE AS A PRINCIPLE OF
NUMBER 365 IV. PRINCIPLES FOR THE SUPERSENSIBLE REALM 377 IV.L.
SUPERSENSIBLE SUBSTANCE 389 V. ASTRONOMY AND METAPHYSICS 407 VI. THE
BEST ORDER 415 CONCLUSION 421 CHAPTER SEVEN: ARISTOTLE S PHILOSOPHY OF
MATHEMATICS 424 I. EPISTEMOLOGICAL PROBLEMS 424 II. THE LOGICAL PROBLEM
438 III. THE PSYCHOLOGICAL PROBLEM 456 III. 1. THE PERCEPTUAL CAPACITIES
OF THE SOUL 456 111.2. INTERPRETIVE CAPACITIES OF THE SOUL 463 111.3.
THE NOETIC ACTIVITY OF THE SOUL 473 CONCLUSION 490 GENERAL CONCLUSION
495 BIBLIOGRAPHY 505 INDEX LOCORUM 529 GENERAL INDEX 546
|
| any_adam_object | 1 |
| author | Cleary, John J. 1949-2009 |
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| author_facet | Cleary, John J. 1949-2009 |
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| author_sort | Cleary, John J. 1949-2009 |
| author_variant | j j c jj jjc |
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| ctrlnum | (OCoLC)231642136 (DE-599)BVBBV010183566 |
| discipline | Philosophie Philologie / Byzantinistik / Neulatein Theologie / Religionswissenschaften |
| format | Book |
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| isbn | 9004101594 |
| language | English |
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| spelling | Cleary, John J. 1949-2009 Verfasser (DE-588)1034492721 aut Aristotle and mathematics aporetic method in cosmology and metaphysics by John J. Cleary Leiden u.a. Brill 1995 XXXVI, 558 S. txt rdacontent n rdamedia nc rdacarrier Philosophia antiqua 67 Aristoteles v384-v322 (DE-588)118650130 gnd rswk-swf Aporetik (DE-588)4249131-9 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Aristoteles v384-v322 (DE-588)118650130 p Mathematik (DE-588)4037944-9 s Aporetik (DE-588)4249131-9 s DE-604 Philosophia antiqua 67 (DE-604)BV000005034 67 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006765260&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cleary, John J. 1949-2009 Aristotle and mathematics aporetic method in cosmology and metaphysics Philosophia antiqua Aristoteles v384-v322 (DE-588)118650130 gnd Aporetik (DE-588)4249131-9 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)118650130 (DE-588)4249131-9 (DE-588)4037944-9 |
| title | Aristotle and mathematics aporetic method in cosmology and metaphysics |
| title_auth | Aristotle and mathematics aporetic method in cosmology and metaphysics |
| title_exact_search | Aristotle and mathematics aporetic method in cosmology and metaphysics |
| title_full | Aristotle and mathematics aporetic method in cosmology and metaphysics by John J. Cleary |
| title_fullStr | Aristotle and mathematics aporetic method in cosmology and metaphysics by John J. Cleary |
| title_full_unstemmed | Aristotle and mathematics aporetic method in cosmology and metaphysics by John J. Cleary |
| title_short | Aristotle and mathematics |
| title_sort | aristotle and mathematics aporetic method in cosmology and metaphysics |
| title_sub | aporetic method in cosmology and metaphysics |
| topic | Aristoteles v384-v322 (DE-588)118650130 gnd Aporetik (DE-588)4249131-9 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Aristoteles v384-v322 Aporetik Mathematik |
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