more from Kurt Gödel

Single Idea 17892

[catalogued under 2. Reason / A. Nature of Reason / 1. On Reason]

Full Idea

I uphold the belief that for clear questions posed by reason, reason can also find clear answers.

Gist of Idea

For clear questions posed by reason, reason can also find clear answers

Source

Kurt Gödel (works [1930]), quoted by Peter Koellner - On the Question of Absolute Undecidability 1.5

Book Reference

-: 'Philosophia Mathematica' [-], p.12


A Reaction

[written in 1961] This contradicts the implication normally taken from his much earlier Incompleteness Theorems.

Related Ideas

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

Idea 9812 In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]