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Home > Dictionary of Science Quotations > Scientist Names Index C > Georg Cantor Quotes

Thumbnail of Georg Cantor (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.
Science quotes on:  |  Many (2)  |  One (5)  |  Set (12)

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 Γ‰douard Moritz, Memorabilia Mathematica (1914), 12.
Science quotes on:  |  Mathematics (367)

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.
Science quotes on:  |  Mathematics (367)  |  Number (90)



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.
In George Edward Martin, The Foundations of Geometry and the Non-Euclidean Plane (1982), 33.
Science quotes on:  |  Creation (129)  |  Mathematics (367)  |  Paradise (4)  |  Set Theory (2)


See also:
  • todayinsci icon 3 Mar - short biography, births, deaths and events on date of Cantor's birth.

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