display all the ideas for this combination of texts
3 ideas
| 21588 | Logic gives the method of research in philosophy [Russell] |
| Full Idea: Logic gives the method of research in philosophy, just as mathematics gives the method in physics. | |
| From: Bertrand Russell (Our Knowledge of the External World [1914], 8) | |
| A reaction: I'm struck by how rarely philosophers actually prove anything. Mostly they just use the language of logic as a tool for disambiguation. Only a tiny handful of philosophers can actually create sustained and novel proofs. |
| 21586 | The logical connectives are not objects, but are formal, and need a context [Russell] |
| Full Idea: Such words as 'or' and 'not' are not names of definite objects, but are words that require a context in order to have a meaning. All of them are formal. | |
| From: Bertrand Russell (Our Knowledge of the External World [1914], 7) | |
| A reaction: [He cites Wittgenstein's 1922 Tractatus in a footnote - presumably in a later edition than 1914] This is the most famous idea which Russell acquired from Wittgenstein. It was yet another step in his scaling down of ontology. |
| 21585 | The tortoise won't win, because infinite instants don't compose an infinitely long time [Russell] |
| Full Idea: The idea that an infinite number of instants make up an infinitely long time is not true, and therefore the conclusion that Achilles will never overtake the tortoise does not follow. | |
| From: Bertrand Russell (Our Knowledge of the External World [1914], 6) | |
| A reaction: Aristotle spotted this, but didn't express it as clearly as Russell. |