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2 ideas
17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
Full Idea: I uphold the belief that for clear questions posed by reason, reason can also find clear answers. | |
From: Kurt Gödel (works [1930]), quoted by Peter Koellner - On the Question of Absolute Undecidability 1.5 | |
A reaction: [written in 1961] This contradicts the implication normally taken from his much earlier Incompleteness Theorems. |
6937 | Reason aims to discover the unknown by thinking about the known [Peirce] |
Full Idea: The object of reasoning is to find out, from the consideration of what we already know, something else which we do not know. | |
From: Charles Sanders Peirce (The Fixation of Belief [1877], p. 7) | |
A reaction: I defy anyone to come up with a better definition of reasoning than that. The emphasis is on knowledge rather than truth, which you would expect from a pragmatist. …Actually the definition doesn't cover conditional reasoning terribly well. |