15 ideas
| 19426 | 'Nominal' definitions just list distinguishing characteristics [Leibniz] |
| 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] |
| 17945 | Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas] |
| 17946 | Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas] |
| 19424 | Knowledge needs clarity, distinctness, and adequacy, and it should be intuitive [Leibniz] |
| 17944 | 'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas] |
| 19427 | True ideas represent what is possible; false ideas represent contradictions [Leibniz] |
| 19425 | In the schools the Four Causes are just lumped together in a very obscure way [Leibniz] |