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p.1027
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p.31
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17606
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Axioms reveal the underlying assumptions, and reveal relationships between different areas
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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.
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From:
Morris Kline (Mathematical Thought from Ancient to Modern Times [1972], p.1027), quoted by Penelope Maddy - Defending the Axioms 1.3
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A reaction:
I take this to be the 'fruitfulness' which marks out the discovery of the essence of something.
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