Combining Texts

Ideas for 'Metaphysics', 'A Structural Account of Mathematics' and 'The Philosophy of Philosophy'

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10 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL

562	Axioms are the underlying principles of everything, and who but the philosopher can assess their truth? [Aristotle]

573	The axioms of mathematics are part of philosophy [Aristotle]

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

9572	Realists about sets say there exists a null set in the real world, with no members [Chihara]

9550	We only know relational facts about the empty set, but nothing intrinsic [Chihara]

9562	In simple type theory there is a hierarchy of null sets [Chihara]

9573	The null set is a structural position which has no other position in membership relation [Chihara]

4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets

9551	What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing

9549	The set theorist cannot tell us what 'membership' is [Chihara]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

9571	ZFU refers to the physical world, when it talks of 'urelements' [Chihara]

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

9563	A pack of wolves doesn't cease when one member dies [Chihara]