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Full Idea
Mathematics teaches us that there is no reason whatsoever to confne thinking within the ambit of finitude.
Gist of Idea
Mathematics shows that thinking is not confined to the finite
Source
Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.19)
Book Ref
Badiou,Alain: 'Theoretical Writings' [Continuum 2006], p.19
A Reaction
This would perhaps make Cantor the greatest thinker who ever lived. It is an exhilarating idea, but we should ward the reader against romping of into unrestrained philosophical thought about infinities. You may be jumping without your Cantorian parachute.
| 9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
| 9809 | Mathematics inscribes being as such [Badiou] |
| 9811 | It is of the essence of being to appear [Badiou] |
| 9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
| 9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
| 9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |