Secrets of the paradox: solving the Liar and other logical problems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Kibworth Beauchamp, Leicesters.
Matador
2013
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 207 S. graph. Darst. |
| ISBN: | 9781783060269 |
Internformat
MARC
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| 100 | 1 | |a Winterburn, Micheal D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Secrets of the paradox |b solving the Liar and other logical problems |c Micheal D. Winterburn |
| 264 | 1 | |a Kibworth Beauchamp, Leicesters. |b Matador |c 2013 | |
| 300 | |a XIX, 207 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-026247663 | ||
Datensatz im Suchindex
| _version_ | 1804150741715124224 |
|---|---|
| adam_text | SECRETS
OFTHE
PARADOX
SOLVINGTHELIAR
ANDOTHERLOGICALPROBLEMS
MICHEALDWINTERBURN
CONTENTS
FIGURES AND TABLES
PREFACE
1 THE LIAR
Some Very Important Characters
The True/False Trichotomy
Introducing the Liar Paradox
Vicious Circles and Belisha Beacons
Two Very Important Laws of Logic
Previous Attempts to Solve the Liar Paradox 11
Human Origins 12
Authority of a Proposition 12
Neutrality 13
Questions and Propositions 14
Logical Admissibility 16
Context 24
Some Rules for an Admissible Proposition 25
Verification Statements 25
Verification Procedure 28
Solving the Liar Paradox 29
Malsequence 29
The Life-Cycle of a Proposition 31
The Liar as a Question 37
The Liar as an Equation 38
The Liar s Non-Identical Twin 40
The Moment of Proof 41
Doubleness 46
The Godel Sentence 47
vii
xi
xiii
SECRETSOFTHEPARADOX
Following the Correct Verification Procedure 49
Two Statements in Parallel 51
Proof, Truth and the Godel Sentence 52
Another Form of the Godel Sentence 57
The True/False Trichotomy Again 60
The Godel Sentence and the Verification Boundaiy 62
The Seesaw 64
Tralse 69
The Big If 73
The Strengthened Liar 75
Back to the Olympics 77
2 THE BARBER OF SEVILLE 79
Back to the Trichotomy 80
The Big If Again! 84
Self-Reference and the Fulcrum 84 )
A Meeting with the Barber 87
Three Groups, Not Two 89
A Second Meeting with the Barber 90
Causes of the Paradox 93
Neutrality and Malsequence 95
The Forbidden Third 97
Secretaries and Unions 100
3 RUSSELL S PARADOX 102
The Principle of Class (or Set) Existence 104
The Null Set 105
Members versus Components 108
Creating a Set 109
via
Contents
I
Set Self-Membership and Malsequence 111
Actions Not Things 113
Solving Russell s Paradox 114
Back to the Barber 116
Russell s Paradox and the Forbidden Third 117
4 THE CROCODILE S DILEMMA 120
Speculative Future Versus Actual Future 121
Back to the Nasty Crocodile 124
Action and Intention 125
Keeping a Promise 128
The Crocodile and Malsequence 129
5 THE UNEXPECTED EXAMINATION 131
Five Chocolate Bars and a Hazelnut 133
The Last Day Scenario 136
Action and Intention 140
6 THE UNEXPECTED EGG 143
A Random Egg 145
Is and May Be 146
7 ACHILLES AND THE TORTOISE 148
Twins and a gateau 148
Achilles and the Tortoise 150
ix
SECRETSOFTHEPARADOX
Halving a Line 152
Problems with Graduations and Marks 153
Hidden in the Nebulous 156
Back to the Racetrack 158
Zeno s other Paradoxes 161
8 PREMONITIONS 163
Three Possible Types of Premonition 166
A Universal Consciousness 174
The Woman in the Tree 177
An Unusual Case 178
9 TIME TRAVEL 182
A Madeira Cake 184
A Kaleid oscope 186
Motion, Space and Consciousness 188
Where is the Cake? 189
The Paradox of the Twins 193
Final Thoughts 194
FURTHER RESEARCH 196
GLOSSARY 197
FURTHER READING 201
INDEX 203
|
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| ctrlnum | (OCoLC)862802008 (DE-599)BVBBV041274112 |
| discipline | Philosophie |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T00:43:45Z |
| institution | BVB |
| isbn | 9781783060269 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026247663 |
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| owner_facet | DE-29 |
| physical | XIX, 207 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Matador |
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| spelling | Winterburn, Micheal D. Verfasser aut Secrets of the paradox solving the Liar and other logical problems Micheal D. Winterburn Kibworth Beauchamp, Leicesters. Matador 2013 XIX, 207 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Paradox Logik (DE-588)4036202-4 gnd rswk-swf Paradoxon (DE-588)4044593-8 gnd rswk-swf Paradoxon (DE-588)4044593-8 s Logik (DE-588)4036202-4 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026247663&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Winterburn, Micheal D. Secrets of the paradox solving the Liar and other logical problems Paradox Logik (DE-588)4036202-4 gnd Paradoxon (DE-588)4044593-8 gnd |
| subject_GND | (DE-588)4036202-4 (DE-588)4044593-8 |
| title | Secrets of the paradox solving the Liar and other logical problems |
| title_auth | Secrets of the paradox solving the Liar and other logical problems |
| title_exact_search | Secrets of the paradox solving the Liar and other logical problems |
| title_full | Secrets of the paradox solving the Liar and other logical problems Micheal D. Winterburn |
| title_fullStr | Secrets of the paradox solving the Liar and other logical problems Micheal D. Winterburn |
| title_full_unstemmed | Secrets of the paradox solving the Liar and other logical problems Micheal D. Winterburn |
| title_short | Secrets of the paradox |
| title_sort | secrets of the paradox solving the liar and other logical problems |
| title_sub | solving the Liar and other logical problems |
| topic | Paradox Logik (DE-588)4036202-4 gnd Paradoxon (DE-588)4044593-8 gnd |
| topic_facet | Paradox Logik Paradoxon |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026247663&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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