(source)
|
Georg Cantor
(3 Mar 1845 - 6 Jan 1918)
German mathematician.
|
Science Quotes by Georg Cantor (3 quotes)
A set is a Many that allows itself to be thought of as a One.
— Georg Cantor
Quoted in Carol Schumacher, Chapter Zero: Fundamental Notions of Abstract Mathematics (1996), 23.
The essence of mathematics lies precisely in its freedom.
— Georg Cantor
Gesammelte Abhandlungen (1932), 182, trans. Ivor Grattan-Guinness. Also, givened as: 'The essence of mathematics lies in its freedom,' in Mathematische Annalen, 21, 564. In Robert Édouard Moritz, Memorabilia Mathematica (1914), 12.
The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.
— Georg Cantor
Gesammelte Abhandlungen (1932),395, trans. Ivor Grattan-Guinness.
Quotes by others about Georg Cantor (1)
No one shall expel us from the paradise which Cantor has created for us.
Expressing the importance of Cantor's set theory in the development of mathematics.
Expressing the importance of Cantor's set theory in the development of mathematics.
In George Edward Martin, The Foundations of Geometry and the Non-Euclidean Plane (1982), 33.
See also:
-
3 Mar - short biography, births, deaths and events on date of Cantor's birth.
At the heart of science is an essential balance between two seemingly contradictory attitudes--an openness to new ideas, no matter how bizarre or counterintuitive they may be, and the most ruthless skeptical scrutiny of all ideas, old and new. This is how deep truths are winnowed from deep nonsense. -- Carl Sagan
