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).

###### Subjects

### Links (outside Open Library)

##
**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 |

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. |