Famous quotes containing the words proposition and/or true:
“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)
“Each man, if he attempts to join himself to others, is on all sides cramped and diminished of his proportion; and the stricter the union, the smaller and the more pitiful he is. But leave him alone, to recognize in every hour and place the secret soul, he will go up and down doing the works of a true member, and, to the astonishment of all, the work will be done with concert, though no man spoke.”
—Ralph Waldo Emerson (1803–1882)