Traditional Arithmetic

Famous quotes containing the words traditional and/or arithmetic:

“The traditional disputes of philosophers are, for the most part, as unwarranted as they are unfruitful.”
—A.J. (Alfred Jules)

“Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.... It is all the more serious since, with the loss of my rule V, not only the foundations of my arithmetic, but also the sole possible foundations of arithmetic seem to vanish.”
—Gottlob Frege (1848–1925)