Single Idea 9812

[catalogued under 6. Mathematics / A. Nature of Mathematics / 1. Mathematics]

Full Idea

Only in mathematics can one unequivocally maintain that if thought can formulate a problem, it can and will solve it, regardless of how long it takes.

Gist of Idea

In mathematics, if a problem can be formulated, it will eventually be solved

Source

Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.17)

Book Reference

Badiou,Alain: 'Theoretical Writings' [Continuum 2006], p.17


A Reaction

I hope this includes proving the Continuum Hypothesis, and Goldbach's Conjecture. It doesn't seem quite true, but it shows why philosophers of a rationalist persuasion are drawn to mathematics.

Related Ideas

Idea 12461 We believe all mathematical problems are solvable [Hilbert]

Idea 17892 For clear questions posed by reason, reason can also find clear answers [Gödel]