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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.
Gist of Idea
Axioms reveal the underlying assumptions, and reveal relationships between different areas
Source
Morris Kline (Mathematical Thought from Ancient to Modern Times [1972], p.1027), quoted by Penelope Maddy - Defending the Axioms 1.3
Book Ref
Maddy,Penelope: 'Defending the Axioms' [OUP 2013], p.31
A Reaction
I take this to be the 'fruitfulness' which marks out the discovery of the essence of something.