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]