Combining Philosophers

Ideas for Weisberg/Needham/Hendry, Michael Potter and Erik J. Olsson

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6 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

10702

Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set

10713

Usually the only reason given for accepting the empty set is convenience [Potter]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

13044

Infinity: There is at least one limit level [Potter]

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

10708

Nowadays we derive our conception of collections from the dependence between them [Potter]

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

13546

The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]

4. Formal Logic / G. Formal Mereology / 1. Mereology

10707

Mereology elides the distinction between the cards in a pack and the suits [Potter]