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...thought can penetrate into every occasion of fact, so that by comprehending its key conditions, the whole complex of its pattern of conditions lies open before it.
...
Pythagoras was the first man who had any grasp of the full sweep of this general principle.
...
He asked, ‘What is the status of mathematical entities, such as numbers for example, in the realm of things?’ The number ‘two,’ for example, is in some sense exempt from the flux of time and the necessity of position in space. Yet it is involved in the real world. The same considerations apply to geometrical notions—to circular shape, for example.
...
unless you can progress from classification to mathematics, your reasoning will not take you very far.


Whitehead. Science in the modern world. 1925. Chapter II.

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