...mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics. Every other science, even logic, especially in its early stages, is in danger of evaporating into airy nothingness, degenerating, as the Germans say, into an arachnoid film, spun from the stuff that dreams are made of. There is no such danger for pure mathematics for that is precisely what mathematics ought to be.
More Quotes from Charles Sanders Peirce:
The final upshot of thinking is the exercise of volition, and of this thought no longer forms a part; but belief is only a stadium of mental action, an effect upon our nature due to thought, which will influence future thinking.Charles Sanders Peirce
The pragmatist knows that doubt is an art which hs to be acquired with difficulty.
Charles Sanders Peirce
Doubt is an uneasy and dissatisfied state from which we struggle to free ourselves and pass into the state of belief; while the latter is a calm and satisfactory state which we do not wish to avoid, or to change to a belief in anything else.
Charles Sanders Peirce
It is impossible not to envy the man who can dismiss reason, although we know how it must turn out at last.
Charles Sanders Peirce
Among the minor, yet striking characteristics of mathematics, may be mentioned the fleshless and skeletal build of its propositions the peculiar difficulty, complication, and stress of its reasonings the perfect exactitude of its results their broad universality their practical infallibility.
Charles Sanders Peirce
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Based on Topics: Danger & Risk Quotes, Dreams Quotes, Ethics Quotes, Logic Quotes, Mathematics Quotes, Movies Quotes, Science QuotesBased on Keywords: airy, degenerating, evaporating, spun
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