Paradoxes and their Resolutions

By Sion, Avi, Dr.

Book Id: WPLBN0100304385
Format Type: PDF eBook:
File Size: 0.1 MB
Reproduction Date: 1/1/2017

Title:	Paradoxes and their Resolutions
Author:	Sion, Avi, Dr.
Volume:
Language:	English
Subject:	Non Fiction, Philosophy, logic, paradoxes, resolutions
Collections:	Authors Community, Philosophy
Historic Publication Date:	2017
Publisher:	Avi Sion - Kindle

Member Page:	Avi Sion
Citation APA MLA Chicago Avi Sion, B. D. (2017). Paradoxes and their Resolutions. Retrieved from http://gutenberg.cc/

Description
Paradoxes and Their Resolutions. This 'thematic compilation' comprises expositions and resolutions of many (though not all) ancient and modern paradoxes, including: the Protagoras-Euathlus paradox, the Liar paradox and the Sorites paradox, Russell’s paradox and its derivatives the Barber paradox and the Master Catalogue paradox, Grelling’s paradox, Hempel's paradox of confirmation, and Goodman’s paradox of prediction. This volume also presents and comments on some of the antinomic discourse found in some Buddhist texts (namely, in Nagarjuna and in the Diamond Sutra).

Summary
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).

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