one-sense-foundation-security-blanket-meticulously-rules-paradoxes

. . . in one sense a foundation is a security blanket: If you meticulously follow the rules laid down, no paradoxes or contradictions will arise. In reality there is now no guarantee of this sort of security . . .

Saunders Mac Lane
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Saunders Mac Lane's Popular Quotes

The standard "foundation" for mathematics starts with sets and their elements. It is possible to start differently, by axiomatising not elements of s…

- Saunders Mac Lane

... the notions category and functor were not formulated or put in print until the idea of a natural transformation was also at hand.

- Saunders Mac Lane

. . . in one sense a foundation is a security blanket: If you meticulously follow the rules laid down, no paradoxes or contradictions will arise. In …

- Saunders Mac Lane

. . . the membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for …

- Saunders Mac Lane
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