Combining Texts

Ideas for 'From an Ontological Point of View', 'Counterpart theory and Quant. Modal Logic' and 'Replies on 'Limits of Abstraction''

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2 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
There is no stage at which we can take all the sets to have been generated [Fine,K]
     Full Idea: There is no stage at which we can take all the sets to have been generated, since the set of all those sets which have been generated at a given stage will itself give us something new.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
God does not create the world, and then add the classes [Heil]
     Full Idea: It is hard to see classes as an 'addition of being'; God does not create the world, and then add the classes.
     From: John Heil (From an Ontological Point of View [2003], 13.4 n6)
     A reaction: This seems right. We may be tempted into believing in the reality of classes when considering maths, but it seems utterly implausible when considering trees or cows.