Famous quotes containing the words paid and/or discovery:
“Nothing begins, and nothing ends,
That is not paid with moan,
For we are born in other’s pain,
And perish in our own.”
—Francis Thompson (1859–1907)
“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)