Georg Cantor Quote

Mathematics is perfectly free in its development and is subject only to the obvious consideration, that its concepts must be free from contradictions in themselves, as well as definitely and orderly related by means of definitions to the previously existing and established concepts.


Grundlagen einer allgemeinen Manigfaltigkeitslehre, Section 8, 1883


Mathematics is perfectly free in its development and is subject only to the obvious consideration, that its concepts must be free from contradictions ...

Mathematics is perfectly free in its development and is subject only to the obvious consideration, that its concepts must be free from contradictions ...

Mathematics is perfectly free in its development and is subject only to the obvious consideration, that its concepts must be free from contradictions ...

Mathematics is perfectly free in its development and is subject only to the obvious consideration, that its concepts must be free from contradictions ...