Georg Cantor on Freedom
Browse 2 quotations attributed to Georg Cantor, catalogued under freedom, with dates where available.
This page displays 2 quotations attributed to Georg Cantor and filed under "freedom" 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 #40485: "The essence of mathematics lies entirely in its freedom."
Attributed to Georg Cantor, entry #94707: "Mathematics is in its development entirely free and is only bound in the self-evident respect that its concepts must both be consistent with each other, and also stand in exact re…"
2 Quotes by Georg Cantor on Freedom
"The essence of mathematics lies entirely in its freedom."
"Mathematics is in its development entirely free and is only bound in the self-evident respect that its concepts must both be consistent with each other, and also stand in exact relationships, ordered by definitions, to those concepts which have previously been introduced and are already at hand and established. In particular, in the introduction of new numbers, it is only obligated to give definitions of them which will bestow such a determinacy and, in certain circumstances, such a relationship to the other numbers that they can in any given instance be precisely distinguished. As soon as a number satisfies all these conditions, it can and must be regarded in mathematics as existent and real."