Combining Texts

Ideas for 'Classical Cosmology (frags)', 'Replies on 'Limits of Abstraction'' and 'On Platonism in Mathematics'

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3 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets

10565	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

10304	Very few things in set theory remain valid in intuitionist mathematics [Bernays]
	Full Idea: Very few things in set theory remain valid in intuitionist mathematics.
	From: Paul Bernays (On Platonism in Mathematics [1934])

4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology

10564	We might combine the axioms of set theory with the axioms of mereology [Fine,K]
	Full Idea: We might combine the standard axioms of set theory with the standard axioms of mereology.
	From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)