Georg Cantor

"In order for there to be a variable quantity in some mathematical study, the domain of its variability must strictly speaking be known beforehand through a definition. However, this domain cannot itse…"

"Had Mittag-Leffler had his way, I should have to wait until the year 1984, which to me seemed too great a demand!"

"Selections from Cantor's philosophical writing."

"Infinity, in its first form presents itself as a variable finite ; in the other form it appears as a thoroughly determinate infinite."

"This view , which I consider to be the sole correct one, is held by only a few. While possibly I am the very first in history to take this position so explicitly, with all of its logical consequences,…"

"The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Ab…"

"I entertain no doubts as to the truths of the transfinites, which I recognized with God’s help and which, in their diversity, I have studied for more than twenty years; every year, and almost every da…"

"The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly dissimilar to, and I might e…"