Georg Cantor on Mind
Browse 3 quotations attributed to Georg Cantor, catalogued under mind, with dates where available.
This page displays 3 quotations attributed to Georg Cantor and filed under "mind" 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 #148076: "A set is a Many that allows itself to be thought of as a One."
Attributed to Georg Cantor, entry #138961: "The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its se…"
3 Quotes by Georg Cantor on Mind
"A set is a Many that allows itself to be thought of as a One."
"The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds."
"The totality of all alephs cannot be conceived as a determinate, well-defined, and also a finished set. This is the punctum saliens, and I venture to say that this completely certain theorem, provable rigorously from the definition of the totality of all alephs, is the most important and noblest theorem of set theory. One must only understand the expression "finished" correctly. I say of a set that it can be thought of as finished if it is possible without contradiction to think of all its elements as existing together, and to think of the set itself as a compounded thing for itself; or if it is possible to imagine the set as actually existing with the totality of its elements."