22 ideas
11103 | We aren't stuck with our native conceptual scheme; we can gradually change it [Quine] |
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] |
11092 | A river is a process, with stages; if we consider it as one thing, we are considering a process [Quine] |
11093 | We don't say 'red' is abstract, unlike a river, just because it has discontinuous shape [Quine] |
11101 | General terms don't commit us ontologically, but singular terms with substitution do [Quine] |
11096 | Discourse generally departmentalizes itself to some degree [Quine] |
11099 | Understanding 'is square' is knowing when to apply it, not knowing some object [Quine] |
11094 | 'Red' is a single concrete object in space-time; 'red' and 'drop' are parts of a red drop [Quine] |
11097 | Red is the largest red thing in the universe [Quine] |
17595 | To unite a sequence of ostensions to make one object, a prior concept of identity is needed [Quine] |
11095 | We should just identify any items which are indiscernible within a given discourse [Quine] |
11104 | Concepts are language [Quine] |
11102 | Apply '-ness' or 'class of' to abstract general terms, to get second-level abstract singular terms [Quine] |
7861 | Libet says the processes initiated in the cortex can still be consciously changed [Libet, by Papineau] |
6660 | Libet found conscious choice 0.2 secs before movement, well after unconscious 'readiness potential' [Libet, by Lowe] |