Combining Texts

Ideas for 'From an Ontological Point of View', 'An Axiomatization of Set Theory' and 'Introduction to Philosophical Papers II'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

2 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

15943	Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
	Full Idea: Von Neumann's Limitation of Size axiom is not self-evident, and he himself admitted that it seemed too strong.
	From: comment on John von Neumann (An Axiomatization of Set Theory [1925]) by Shaughan Lavine - Understanding the Infinite VII.1

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

7035	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.