Combining Philosophers

Ideas for John Austin, Peter Smith and E.J. Lowe

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3 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
A set is a 'number of things', not a 'collection', because nothing actually collects the members [Lowe]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
I don't believe in the empty set, because (lacking members) it lacks identity-conditions [Lowe]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
There cannot be a set theory which is complete [Smith,P]