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Last edited by Avi Sion
November 27, 2017 | History

Paradoxes and Their Resolutions 1 edition

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Paradoxes and their Resolutions is Avi Sion’s latest ‘thematic compilation’. It collects in one volume the essays that he has written in the past (over a period of some 27 years) on this subject. It comprises expositions and resolutions of many (though not all) ancient and modern paradoxes, including: the Protagoras-Euathlus paradox (Athens, 5th Cent. BCE), the Liar paradox and the Sorites paradox (both attributed to Eubulides of Miletus, 4th Cent. BCE), Russell’s paradox (UK, 1901) and its derivatives the Barber paradox and the Master Catalogue paradox (also by Russell), Grelling’s paradox (Germany, 1908), Hempel's paradox of confirmation (USA, 1940s), and Goodman’s paradox of prediction (USA, 1955). This volume also presents and comments on some of the antinomic discourse found in some Buddhist texts (namely, in Nagarjuna, India, 2nd Cent. CE; and in the Diamond Sutra, date unknown, but probably in an early century CE).

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Paradoxes and Their Resolutions
A Thematic Compilation

Published 2017 by Avi Sion in Geneva, Switzerland .

Table of Contents

1. The vanity of the tetralemma
1. Phenomena are positive
2. There are no negative phenomena
3. A misinterpreted experiment
4. Defining negation
2. Clarifying contradiction
1. Dialectic
2. Contradiction
3. Consistency is natural
3. Clarifying negation
1. Negation in adduction
2. Positive and negative phenomena
3. Negation is secondary
4. Negation is an intention
4. Clarifying paradox
1. Internal inconsistency
2. The Stolen Concept Fallacy
3. Systematization
4. Properties
5. The Liar paradox (early)
1. Double paradox
2. The Liar paradox
3. More on the Liar paradox
4. The utility of paradoxes
6. The Liar paradox (redux)
1. First approach
2. Second approach
3. Third approach
4. Fourth approach
5. Fifth approach
6. Sixth approach
7. The Russell paradox (early)
1. Self-membership
2. The Russell paradox
3. Impermutability
4. The Barber paradox
5. The Master Catalogue paradox
6. Grelling’s paradox
8. The Russell paradox (redux)
1. Elements of class logic
2. An apparent double paradox
3. A bit of the history
4. A bit of self-criticism
9. More on the Russell paradox
1. My resolution of the Russell paradox
2. Why Russell’s resolutions are inadequate
3. Why Rescher’s resolution is inadequate
4. Other incarnations of the Russell paradox
5. About the Barber paradox
10. Hempel's paradox of confirmation
1. Traditional analysis
2. Novel analysis
3. The problem and its solution
11. Goodman’s paradox of prediction
1. The alleged problem
2. The logical solution
3. The concept of ‘grue’
4. How far up the scale
12. The Sorites paradox
1. What’s a heap?
2. The use of vague terms
3. Reasoning with vague terms
4. Making up fake paradoxes
13. Protagoras vs. Euathlus
1. An ancient paradox
2. First resolution
3. Second resolution
4. Inadequate resolutions
14. Buddhist antinomic discourse
1. The tetralemma
2. Neither real nor unreal
15. More Buddhist antinomic discourse
1. The ‘I have no thesis’ thesis
2. Calling what is not a spade a spade
Contents (in brief)
1. The vanity of the tetralemma
2. Clarifying contradiction
3. Clarifying negation
4. Clarifying paradox
5. The Liar paradox (early)
6. The Liar paradox (redux)
7. The Russell paradox (early)
8. The Russell paradox (redux)
9. More on the Russell paradox
10. Hempel's paradox of confirmation
11. Goodman’s paradox of prediction
12. The Sorites paradox
13. Protagoras vs. Euathlus
14. Buddhist antinomic discourse
15. More Buddhist antinomic discourse

The Physical Object

Format
Paperback, e-book
Number of pages
270
Dimensions
9 x 6 x inches

ID Numbers

Open Library
OL26402017M

History

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November 27, 2017 Edited by Avi Sion added info
November 27, 2017 Edited by Avi Sion Added new cover
November 27, 2017 Edited by Avi Sion added info
November 27, 2017 Created by Avi Sion Added new book.