25 ideas
23326 | In the third century Stoicism died out, replaced by Platonism, with Aristotelian ethics [Frede,M] |
23335 | In late antiquity nearly all philosophers were monotheists [Frede,M] |
12223 | It is a fallacy to explain the obscure with the even more obscure [Hale/Wright] |
10282 | Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W] |
12230 | Singular terms refer if they make certain atomic statements true [Hale/Wright] |
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] |
10289 | Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W] |
10288 | Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [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] |
12225 | Neo-Fregeanism might be better with truth-makers, rather than quantifier commitment [Hale/Wright] |
12224 | Are neo-Fregeans 'maximalists' - that everything which can exist does exist? [Hale/Wright] |
12226 | The identity of Pegasus with Pegasus may be true, despite the non-existence [Hale/Wright] |
12229 | Maybe we have abundant properties for semantics, and sparse properties for ontology [Hale/Wright] |
18443 | A successful predicate guarantees the existence of a property - the way of being it expresses [Hale/Wright] |
23333 | The idea of free will achieved universal acceptance because of Christianity [Frede,M] |
23337 | The Stoics needed free will, to allow human choices in a divinely providential cosmos [Frede,M] |
23334 | For Christians man has free will by creation in God's image (as in Genesis) [Frede,M] |
12227 | Abstractionism needs existential commitment and uniform truth-conditions [Hale/Wright] |
12228 | Equivalence abstraction refers to objects otherwise beyond our grasp [Hale/Wright] |
12231 | Reference needs truth as well as sense [Hale/Wright] |
23336 | There is no will for Plato or Aristotle, because actions come directly from perception of what is good [Frede,M] |
23313 | The Gnostic demiurge (creator) is deluded, and doesn't care about us [Frede,M] |