10484 | The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos] |
13494 | The iterative conception may not be necessary, and may have fixed points or infinitely descending chains [Hart,WD] |
17801 | The set hierarchy doesn't rely on the dubious notion of 'generating' them [Mayberry] |
10565 | There is no stage at which we can take all the sets to have been generated [Fine,K] |
13019 | The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy] |
13640 | Russell's paradox shows that there are classes which are not iterative sets [Shapiro] |
13654 | It is central to the iterative conception that membership is well-founded, with no infinite descending chains [Shapiro] |
13666 | Iterative sets are not Boolean; the complement of an iterative set is not an iterative sets [Shapiro] |
9617 | The 'iterative' view says sets start with the empty set and build up [Brown,JR] |
10405 | In the iterative conception of sets, they form a natural hierarchy [Swoyer] |
10708 | Nowadays we derive our conception of collections from the dependence between them [Potter] |
15900 | The iterative conception of set wasn't suggested until 1947 [Lavine] |
15931 | The iterative conception needs the Axiom of Infinity, to show how far we can iterate [Lavine] |
15932 | The iterative conception doesn't unify the axioms, and has had little impact on mathematical proofs [Lavine] |