Famous quotes containing the word probable:
“I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”
—Gottlob Frege (1848–1925)
“It is the mark of an educated man to look for precision in each class of things just so far as the nature of the subject admits; it is evidently equally foolish to accept probable reasoning from a mathematician and to demand from a rhetorician demonstrative proofs.”
—Aristotle (384–323 B.C.)
“I have very lately read the Prince of Abyssinia [Samuel Johnson’s Rasselas]MI am almost equally charmed and shocked at it—the style, the sentiments are inimitable—but the subject is dreadful—and, handled as it is by Dr. Johnson, might make any young, perhaps old, person tremble—O heavens! how dreadful, how terrible it is to be told by a man of his genius and knowledge, in so affectingly probable a manner, that true, real happiness is ever unattainable in this world!”
—Frances Burney (1752–1840)