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Ideas for 'Stipulation, Meaning and Apriority', 'The Structure of Objects' and 'Russell's Mathematical Logic'

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2 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
     Full Idea: In the superior realist and simple theory of types, the place of the axiom of reducibility is not taken by the axiom of classes, Zermelo's Aussonderungsaxiom.
     From: report of Kurt Gödel (Russell's Mathematical Logic [1944], p.140-1) by Bernard Linsky - Russell's Metaphysical Logic 6.1 n3
     A reaction: This is Zermelo's Axiom of Separation, but that too is not an axiom of standard ZFC.
4. Formal Logic / G. Formal Mereology / 1. Mereology
The 'aggregative' objections says mereology gets existence and location of objects wrong [Koslicki]
     Full Idea: The 'aggregative' objection to classical extensional mereology is that it assigns simply the wrong, set-like conditions of existence and spatio-temporal location to ordinary material objects.
     From: Kathrin Koslicki (The Structure of Objects [2008], 5.1)
     A reaction: [She attributes this to Kit Fine] The point is that there is more to a whole than just some parts, otherwise you could scatter the parts across the globe (or even across time) and claim that the object still existed. It's obvious really.