more from this thinker     |     more from this text

Single Idea 15919

[filed under theme 4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets ]

Full Idea

The Peano-Russell notion of class is the 'logical' notion, where each collection is associated with some kind of definition or rule that characterises the members of the collection.

Gist of Idea

The 'logical' notion of class has some kind of definition or rule to characterise the class

Source

Shaughan Lavine (Understanding the Infinite [1994], IV.1)

Book Ref

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.63

The 6 ideas with the same theme [sets whose membership is defined by a concept]:

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]