20 ideas
| 17082 | Paradox: why do you analyse if you know it, and how do you analyse if you don't? [Ruben] |
| 10282 | Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W] |
| 10283 | A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W] |
| 10284 | There are three different standard presentations of semantics [Hodges,W] |
| 10285 | I |= φ means that the formula φ is true in the interpretation I [Hodges,W] |
| 10288 | Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W] |
| 10289 | Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W] |
| 10287 | If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W] |
| 10286 | A 'set' is a mathematically well-behaved class [Hodges,W] |
| 17087 | The 'symmetry thesis' says explanation and prediction only differ pragmatically [Ruben] |
| 17081 | Usually explanations just involve giving information, with no reference to the act of explanation [Ruben] |
| 17092 | An explanation needs the world to have an appropriate structure [Ruben] |
| 17090 | Most explanations are just sentences, not arguments [Ruben] |
| 17094 | The causal theory of explanation neglects determinations which are not causal [Ruben] |
| 17088 | Reducing one science to another is often said to be the perfect explanation [Ruben] |
| 17089 | Facts explain facts, but only if they are conceptualised or named appropriately [Ruben] |
| 23366 | We see nature's will in the ways all people are the same [Epictetus] |
| 4022 | Epictetus says we should console others for misfortune, but not be moved by pity [Epictetus, by Taylor,C] |
| 23365 | If someone is weeping, you should sympathise and help, but not share his suffering [Epictetus] |
| 23368 | Perhaps we should persuade culprits that their punishment is just? [Epictetus] |