Realizing reason: a narrative of truth and knowing
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2014
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| Edition: | 1. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XII, 494 S. graph. Darst. 24 cm |
| ISBN: | 9780198704751 |
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MARC
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Record in the Search Index
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| adam_text | Realizing Reason
A Narrative of Truth and Knowing
Danielle Macbeth
OXFORD
UNIVERSITY PRESS
Contents
Introduction 1
Perception
1 Where We Begin 19
1 1 The Limits of Cartesianism 20
1 2 Biological Evolution and the Concept of Life 27
1 3 The Emergence of Human Culture and Social Significances 35
1 4 The World in View 41
1 5 The Nature of Natural Language 50
1 6 Conclusion 56
2 Ancient Greek Diagrammatic Practice 58
2 1 Some Preliminary Distinctions 60
2 2 Euclid s Constructions 68
2 3 Propaedeutic to the Practice 72
2 4 Generality in Euclid s Demonstrations 78
2 5 Diagrammatic Reasoning in the Elements 87
2 6 Ancient Greek Philosophy of Mathematics 99
2 7 Conclusion 104
3 A New World Order 107
3 1 The Clockwork Universe 110
3 2 Viete s Analytical Art 118
3 3 Mathesis Universalis 127
3 4 The Order of Things 135
3 5 Descartes Metaphysical Turn 141
3 6 Conclusion 148
Understanding
4 Kant s Critical Turn 153
4 1 The Nature of Mathematical Practice 157
4 2 An Advance in Logic 166
4 3 Kant s Transcendental Logic 176
4 4 The Forms of Judgment 182
4 5 Kant s Metaphysics of Judgment 188
4 6 The Limits of Reflection 194
4 7 Conclusion 199
Xii CONTENTS
5 Mathematics Transformed, Again 202
5 1 Intuition Banished 204
5 2 Constructions Banished 212
5 3 The Peculiar Purity of Modern Mathematics 220
5 4 Prospects for the Philosophy of Mathematics 231
5 5 Conclusion 243
6 Mathematics and Language 247
6 1 Quantifiers in Mathematical Logic 250
6 2 The Model-Theoretic Conception of Language 262
6 3 Meaning and Truth 272
6 4 The Role of Writing in Mathematical Reasoning 276
6 5 The Leibnizian Ideal of a Universal Language 285
6 6 Conclusion 292
Reason
7 Reasoning in Frege s Begriffsschrift 297
7 1 The Idea of a Begriffsschrift 300 ,
7 2 The Basics 308
73A Second Pass Through 326
7 4 Seeing How It Really Goes 348
7 5 Conclusion 361
8 Truth and Knowledge in Mathematics 364
8 1 What We Have Seen 367
8 2 The Science of Mathematics 372
8 3 The Nature of Ampliative Deductive Proof 383
8 4 Frege s Logical Advance 400
8 5 The Achievement of Reason 411
8 6 Conclusion 419
9 The View from Here 422
9 1 Einstein s Revolutionary Physics 425
9 2 The Quantum Revolution 433
9 3 Completing the Project of Modernity 445
9 4 Conclusion 451
Afterword 452
Bibliography
Name Index
Subject Index
|
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| dewey-full | 128.33 |
| dewey-hundreds | 100 - Philosophy & psychology |
| dewey-ones | 128 - Humankind |
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| dewey-tens | 120 - Epistemology, causation, humankind |
| discipline | Philosophie |
| edition | 1. ed. |
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| indexdate | 2024-07-10T01:05:46Z |
| institution | BVB |
| isbn | 9780198704751 |
| language | English |
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| physical | XII, 494 S. graph. Darst. 24 cm |
| publishDate | 2014 |
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| spelling | Macbeth, Danielle Verfasser (DE-588)132545306 aut Realizing reason a narrative of truth and knowing Danielle Macbeth 1. ed. Oxford [u.a.] Oxford Univ. Press 2014 XII, 494 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Mathematik Philosophie Reason Truth Philosophy / Mathematics Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematischer Begriff (DE-588)4169105-2 gnd rswk-swf Mathematischer Begriff (DE-588)4169105-2 s Philosophie (DE-588)4045791-6 s b DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027250600&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Macbeth, Danielle Realizing reason a narrative of truth and knowing Mathematik Philosophie Reason Truth Philosophy / Mathematics Philosophie (DE-588)4045791-6 gnd Mathematischer Begriff (DE-588)4169105-2 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4169105-2 |
| title | Realizing reason a narrative of truth and knowing |
| title_auth | Realizing reason a narrative of truth and knowing |
| title_exact_search | Realizing reason a narrative of truth and knowing |
| title_full | Realizing reason a narrative of truth and knowing Danielle Macbeth |
| title_fullStr | Realizing reason a narrative of truth and knowing Danielle Macbeth |
| title_full_unstemmed | Realizing reason a narrative of truth and knowing Danielle Macbeth |
| title_short | Realizing reason |
| title_sort | realizing reason a narrative of truth and knowing |
| title_sub | a narrative of truth and knowing |
| topic | Mathematik Philosophie Reason Truth Philosophy / Mathematics Philosophie (DE-588)4045791-6 gnd Mathematischer Begriff (DE-588)4169105-2 gnd |
| topic_facet | Mathematik Philosophie Reason Truth Philosophy / Mathematics Mathematischer Begriff |
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