“For the things of this world cannot be made known without a knowledge of mathematics.”
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Argument is conclusive, but it does not remove doubt, so that the mind may rest in the sure knowledge of the truth, unless it finds it by the method of experiment.
All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it for laymen and people who are utterly illiterate know how to count and reckon.
Reasoning draws a conclusion, but does not make the conclusion certain, unless the mind discovers it by the path of experience.
The presentations and conceptions of the average man of the world are formed and dominated, not by the full and pure desire for knowledge as an end in itself, but by the struggle to adapt himself favourably to the conditions of life.