Russell, His Paradoxes, and Cantor's Theorem
Part I
Bibliographic Data
| ID | 4079362 |
|---|---|
| Authors | Kevin C Klement (corresponding author) |
| Year | 2010 |
| Volume | 5 |
| Issue | 1 |
| Pages | 16-28 |
| Publication date | 2010-01-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy Compass (JOURNAL) |
| Journal identifiers | ISSN: 1747-9991 • E-ISSN: 1747-9991 |
| Publisher | Wiley (PUBLISHER • GB) |
| DOI | 10.1111/j.1747-9991.2009.00270.x |
| OpenAlex | W2014526422 |
| Language | EN |
| Citations received | 4 |
| References cited | 21 |
In these articles, I describe Cantor's power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell's work. These include Russell's paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions, and equivalence classes of coextensional properties. Part I focuses on Cantor's theorem, its proof, how it can be used to manufacture paradoxes, Frege's diagnosis of the core difficulty, and several broad categories of strategies for offering solutions to these paradoxes
Cantor set · Cantor's diagonal argument · Epistemology · Pure mathematics · Computer Science · Mathematics · Philosophy · Philosophy and History of Science · Philosophy and Theoretical Science · Philosophy, Science, and History
| Unique citing works | 4 |
|---|---|
| Citations per year | 0,31 |
| Citation span | 2013 - 2022 (10) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 4 |