more from this thinker | more from this text
Full Idea
Russell was the inventor of the naïve set theory so often attributed to Cantor.
Gist of Idea
Russell invented the naïve set theory usually attributed to Cantor
Source
report of Bertrand Russell (The Principles of Mathematics [1903]) by Shaughan Lavine - Understanding the Infinite I
Book Ref
Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.3
15894 | Russell invented the naïve set theory usually attributed to Cantor [Russell, by Lavine] |
21695 | The set scheme discredited by paradoxes is actually the most natural one [Quine] |
10485 | Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos] |
13441 | Naïve set theory has trouble with comprehension, the claim that every predicate has an extension [Hart,WD] |
9933 | The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen] |
9615 | Nowadays conditions are only defined on existing sets [Brown,JR] |
9613 | Naïve set theory assumed that there is a set for every condition [Brown,JR] |
23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
23623 | Predicativism says only predicated sets exist [Hossack] |