...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. β¨ Charles Sanders Peirce (1931). Collected Papers of Charles Sanders Peirce
More Author Quotes
- Bad reasoning as well as good reasoning is possible; and this fact is the foundation of the practical side of logic. β¨ Charles Sanders Peirce, Morris Raphael Cohen, John Dewey (1968). Chance, love, a β¦ βΆ
- A quality is something capable of being completely embodied. A law never can be embodied in its character as a law except by determining a habit. A quality is how something may or might have been. A β¦ βΆ
- The one [the logician] studies the science of drawing conclusions, the other [the mathematician] the science which draws necessary conclusions. β¨ The Philosophy of Peirce: Selected Writings.
- If we are to define science, ... it does not consist so much in knowing, nor even in organized knowledge, as it does in diligent inquiry into truth for truth's sake, without any sort of axe to grind, β¦ βΆ
- True science is distinctively the study of useless things. For the useful things will get studied without the aid of scientific men. To employ these rare minds on such work is like running a steam en β¦ βΆ
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