display all the ideas for this combination of texts
2 ideas
| 12417 | Mathematicians only accept their own proofs when everyone confims them [Hume] |
| Full Idea: There is no Mathematician so expert as to place entire confidence in any truth upon his discovery of it. ..Every time he runs over his proofs his confidence encreases, ..and is rais'd to perfection by the applause of the learned world. | |
| From: David Hume (Treatise of Human Nature [1739], IV.1.4) | |
| A reaction: [compressed] Quoted by Kitcher, and a nice example of the social nature of 'warrants', even in mathematics. It was illustrated well in the 1990s by the story of the proof of Fermat's Last Theorem by Andrew Wiles. |
| 5548 | Hume became a total sceptic, because he believed that reason was a deception [Hume, by Kant] |
| Full Idea: David Hume gave way entirely to scepticism, since he believed himself to have discovered in what is generally held to be reason a deception of our faculty of cognition. | |
| From: report of David Hume (Treatise of Human Nature [1739]) by Immanuel Kant - Critique of Pure Reason B128 | |
| A reaction: Unfair to Hume, who was very opposed to global scepticism (see Ideas 2240 and 2241), and voted only for 'mitigated scepticism' (see Idea 2242). On the other hand, there is no greater opposition in philosophy than Kant and Hume on 'pure reason'. |