Ideas of Morris Kline, by Theme

[American, b.1913, Studied at New York University, and taught there.]

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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Axioms reveal the underlying assumptions, and reveal relationships between different areas
     Full Idea: The axiomatic method ....revealed precisely what assumptions underlie each branch [of mathematics] and made possible the comparison and clarification of the relationships of various branches.
     From: Morris Kline (Mathematical Thought from Ancient to Modern Times [1972], p.1027), quoted by Penelope Maddy - Defending the Axioms 1.3
     A reaction: I take this to be the 'fruitfulness' which marks out the discovery of the essence of something.