Combining Philosophers
Ideas for H.Putnam/P.Oppenheim, Frank P. Ramsey and Michal Walicki
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5 ideas
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
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The empty set is useful for defining sets by properties, when the members are not yet known [Walicki]
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The empty set avoids having to take special precautions in case members vanish [Walicki]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
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Infinity: there is an infinity of distinguishable individuals [Ramsey]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
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Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
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4. Formal Logic / F. Set Theory ST / 6. Ordering in Sets
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Ordinals play the central role in set theory, providing the model of well-ordering [Walicki]
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