26 ideas
17713 | After 1903, Husserl avoids metaphysical commitments [Mares] |
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] |
17715 | The truth of the axioms doesn't matter for pure mathematics, but it does for applied [Mares] |
10286 | A 'set' is a mathematically well-behaved class [Hodges,W] |
17716 | Mathematics is relations between properties we abstract from experience [Mares] |
17703 | Light in straight lines is contingent a priori; stipulated as straight, because they happen to be so [Mares] |
17714 | Aristotelians dislike the idea of a priori judgements from pure reason [Mares] |
17705 | Empiricists say rationalists mistake imaginative powers for modal insights [Mares] |
6871 | We can't only believe things if we are currently conscious of their justification - there are too many [Goldman] |
6872 | Internalism must cover Forgotten Evidence, which is no longer retrievable from memory [Goldman] |
6874 | Internal justification needs both mental stability and time to compute coherence [Goldman] |
17700 | The most popular view is that coherent beliefs explain one another [Mares] |
6873 | Coherent justification seems to require retrieving all our beliefs simultaneously [Goldman] |
6875 | Reliability involves truth, and truth is external [Goldman] |
17704 | Operationalism defines concepts by our ways of measuring them [Mares] |
17710 | Aristotelian justification uses concepts abstracted from experience [Mares] |
17706 | The essence of a concept is either its definition or its conceptual relations? [Mares] |
17701 | Possible worlds semantics has a nice compositional account of modal statements [Mares] |
17702 | Unstructured propositions are sets of possible worlds; structured ones have components [Mares] |
17708 | Maybe space has points, but processes always need regions with a size [Mares] |