The outer limits of reason: what science, mathematics, and logic cannot tell us
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, Mass. [u.a.]
MIT Press
2013
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 403 S. Ill., graph. Darst. |
| ISBN: | 9780262019354 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804150740733657089 |
|---|---|
| adam_text | Titel: The outer limits of reason
Autor: Yanofsky, Noson S
Jahr: 2013
Table of Contents
Preface ¡x
Acknowledgments xi
1 Introduction 1
2 Language Paradoxes 15
2.1 Liar! Liar! 15
2.2 Self-Referential Paradoxes 19
2.3 Naming Numbers 26
3 Philosophical Conundrums 31
3.1 Ships, People, and Other Objects 31
3.2 Hangin with Zeno and Godei 41
3.3 Bald Men, Heaps, and Vagueness 50
3.4 Knowing about Knowing 57
4 Infinity Puzzles 65
4.1 Sets and Sizes 66
4.2 Infinite Sets 69
4.3 Anything Larger? 76
4.4 Knowable and Unknowable 85
5 Computing Complexities 97
5.1 Some Easy Problems 98
5.2 Some Hard Problems 109
5.3 They re All Connected 121
5.4 Almost Solving Hard Problems 129
5.5 Even Harder Problems 131
6 Computing Impossibilities 135
6.1 Algorithms, Computers, Machines, and Programs 136
6.2 To Halt or Not to Halt? 139
Table of Contents
6.3 They re All Connected 146
6.4 A Hierarchy of the Unknown 152
6.5 Minds, Brains, and Computers 157
7 Scientific Limitations 161
7.1 Chaos and Cosmos 161
7.2 Quantum Mechanics 175
7.3 Relativity Theory 214
8 Metascientific Perplexities 235
8.1 Philosophical Limitations of Science 235
8.2 Science and Mathematics 252
8.3 The Origin of Reason 272
9 Mathematical Obstructions 297
9.1 Classical Limits 298
9.2 Galois Theory 304
9.3 Harder Than Halting 309
9.4 Logic 320
9.5 Axioms and Independence 331
10 Beyond Reason 339
10.1 Summing Up 339
10.2 Defining Reason 345
10.3 Peering Beyond 349
Notes 355
Bibliography 379
Index 393
|
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| isbn | 9780262019354 |
| language | English |
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| spelling | Yanofsky, Noson S. 1967- Verfasser (DE-588)138626839 aut The outer limits of reason what science, mathematics, and logic cannot tell us Noson S. Yanofsky Cambridge, Mass. [u.a.] MIT Press 2013 XIV, 403 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Naturwissenschaft Philosophie Knowledge, Theory of Science Philosophy Mathematics Philosophy Mathematik (DE-588)4037944-9 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Grenzen der Wissenschaft (DE-588)4550897-5 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 s Mathematik (DE-588)4037944-9 s Logik (DE-588)4036202-4 s Grenzen der Wissenschaft (DE-588)4550897-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026246987&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yanofsky, Noson S. 1967- The outer limits of reason what science, mathematics, and logic cannot tell us Mathematik Naturwissenschaft Philosophie Knowledge, Theory of Science Philosophy Mathematics Philosophy Mathematik (DE-588)4037944-9 gnd Logik (DE-588)4036202-4 gnd Naturwissenschaften (DE-588)4041421-8 gnd Grenzen der Wissenschaft (DE-588)4550897-5 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4036202-4 (DE-588)4041421-8 (DE-588)4550897-5 |
| title | The outer limits of reason what science, mathematics, and logic cannot tell us |
| title_auth | The outer limits of reason what science, mathematics, and logic cannot tell us |
| title_exact_search | The outer limits of reason what science, mathematics, and logic cannot tell us |
| title_full | The outer limits of reason what science, mathematics, and logic cannot tell us Noson S. Yanofsky |
| title_fullStr | The outer limits of reason what science, mathematics, and logic cannot tell us Noson S. Yanofsky |
| title_full_unstemmed | The outer limits of reason what science, mathematics, and logic cannot tell us Noson S. Yanofsky |
| title_short | The outer limits of reason |
| title_sort | the outer limits of reason what science mathematics and logic cannot tell us |
| title_sub | what science, mathematics, and logic cannot tell us |
| topic | Mathematik Naturwissenschaft Philosophie Knowledge, Theory of Science Philosophy Mathematics Philosophy Mathematik (DE-588)4037944-9 gnd Logik (DE-588)4036202-4 gnd Naturwissenschaften (DE-588)4041421-8 gnd Grenzen der Wissenschaft (DE-588)4550897-5 gnd |
| topic_facet | Mathematik Naturwissenschaft Philosophie Knowledge, Theory of Science Philosophy Mathematics Philosophy Logik Naturwissenschaften Grenzen der Wissenschaft |
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