Georg Cantor Quotes
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 Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type.
Cantor, Georg. "Mitteilungen zur Lehre vom Transfiniten." Zeitschrift für Philosophie und philosophische Kritik, vol. 91, 1887. Printed in Georg Cantor Gesammelte Abhandlungen mathematischen und philosophischen Inhalts, edited by Ernst Zermelo, Julius Springer, 1932, p. 378.
Georg Ferdinand Ludwig Philipp Cantor was a German mathematician. He created set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. In fact, Cantor's method of proof of this theorem implies the existence of an infinity of infinities. He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact he was well aware of.