18 ideas
22138 | Science rests on scholastic metaphysics, not on Hume, Kant or Carnap [Boulter] |
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] |
22134 | Thoughts are general, but the world isn't, so how can we think accurately? [Boulter] |
22150 | Logical possibility needs the concepts of the proposition to be adequate [Boulter] |
22139 | Experiments don't just observe; they look to see what interventions change the natural order [Boulter] |
22136 | Science begins with sufficient reason, de-animation, and the importance of nature [Boulter] |
22135 | Our concepts can never fully capture reality, but simplification does not falsify [Boulter] |
22152 | Aristotelians accept the analytic-synthetic distinction [Boulter] |
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] |
22156 | The facts about human health are the measure of the values in our lives [Boulter] |