more from this thinker | more from this text
Full Idea
Hard-headed realism tends to embrace the full Comprehension Principle, that every well-defined concept determines a set.
Gist of Idea
Realisms like the full Comprehension Principle, that all good concepts determine sets
Source
Stephen Read (Thinking About Logic [1995], Ch.8)
Book Ref
Read,Stephen: 'Thinking About Logic' [OUP 1995], p.214
A Reaction
This sort of thing gets you into trouble with Russell's paradox (though that is presumably meant to be excluded somehow by 'well-defined'). There are lots of diluted Comprehension Principles.
9834 | A class is, for Frege, the extension of a concept [Frege, by Dummett] |
3328 | Frege proposed a realist concept of a set, as the extension of a predicate or concept or function [Frege, by Benardete,JA] |
21563 | The 'no classes' theory says the propositions just refer to the members [Russell] |
14461 | Propositions about classes can be reduced to propositions about their defining functions [Russell] |
11020 | Realisms like the full Comprehension Principle, that all good concepts determine sets [Read] |
15919 | The 'logical' notion of class has some kind of definition or rule to characterise the class [Lavine] |