Top 4 Saunders Mac Lane Quotes
#1. Good general theory does not search for the maximum generality, but for the right generality.
Saunders Mac Lane
#2. The standard "foundation" for mathematics starts with sets and their elements. It is possible to start differently, by axiomatising not elements of sets but functions between sets. This can be done by using the language of categories and universal constructions.
Saunders Mac Lane
#3. 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
#4. 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
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