Georg Cantor on Philosophy
Browse 5 quotations attributed to Georg Cantor, catalogued under Philosophy, with dates where available.
This page displays 5 quotations attributed to Georg Cantor and filed under "Philosophy" in QuoteLineage. The selection is ordered by stored importance and quality scores, not citation counts. A topic label describes how an entry is catalogued; it does not establish the theme's importance in the author's work.
Attributed to Georg Cantor, entry #194865: "Set theory by Thomas Jech at the Stanford Encyclopedia of Philosophy"
Attributed to Georg Cantor, entry #20471: "Selections from Cantor's philosophical writing."
5 Quotes by Georg Cantor on Philosophy
"Set theory by Thomas Jech at the Stanford Encyclopedia of Philosophy"
"Selections from Cantor's philosophical writing."
"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, I know for sure that I shall not be the last!"
"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."
"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 even say in principle the same as, my method described above of introducing transfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite."