73 ideas
| 18450 | Philosophy has its own mode of death, by separating soul from body [Porphyry] |
| 16241 | The metaphysics of nature should focus on physics [Maudlin] |
| 16257 | Kant survives in seeing metaphysics as analysing our conceptual system, which is a priori [Maudlin] |
| 16276 | Wide metaphysical possibility may reduce metaphysics to analysis of fantasies [Maudlin] |
| 16244 | If the universe is profligate, the Razor leads us astray [Maudlin] |
| 16255 | The Razor rightly prefers one cause of multiple events to coincidences of causes [Maudlin] |
| 10859 | A set is 'well-ordered' if every subset has a first element [Clegg] |
| 10857 | Set theory made a closer study of infinity possible [Clegg] |
| 10864 | Any set can always generate a larger set - its powerset, of subsets [Clegg] |
| 10872 | Extensionality: Two sets are equal if and only if they have the same elements [Clegg] |
| 10875 | Pairing: For any two sets there exists a set to which they both belong [Clegg] |
| 10876 | Unions: There is a set of all the elements which belong to at least one set in a collection [Clegg] |
| 10878 | Infinity: There exists a set of the empty set and the successor of each element [Clegg] |
| 10877 | Powers: All the subsets of a given set form their own new powerset [Clegg] |
| 10879 | Choice: For every set a mechanism will choose one member of any non-empty subset [Clegg] |
| 10871 | Axiom of Existence: there exists at least one set [Clegg] |
| 10874 | Specification: a condition applied to a set will always produce a new set [Clegg] |
| 10880 | Mathematics can be 'pure' (unapplied), 'real' (physically grounded); or 'applied' (just applicable) [Clegg] |
| 10861 | Beyond infinity cardinals and ordinals can come apart [Clegg] |
| 10860 | An ordinal number is defined by the set that comes before it [Clegg] |
| 10854 | Transcendental numbers can't be fitted to finite equations [Clegg] |
| 10858 | By adding an axis of imaginary numbers, we get the useful 'number plane' instead of number line [Clegg] |
| 10853 | Either lack of zero made early mathematics geometrical, or the geometrical approach made zero meaningless [Clegg] |
| 10866 | Cantor's account of infinities has the shaky foundation of irrational numbers [Clegg] |
| 10869 | The Continuum Hypothesis is independent of the axioms of set theory [Clegg] |
| 10862 | The 'continuum hypothesis' says aleph-one is the cardinality of the reals [Clegg] |
| 16243 | The Humean view is wrong; laws and direction of time are primitive, and atoms are decided by physics [Maudlin] |
| 16271 | Lewis says it supervenes on the Mosaic, but actually thinks the Mosaic is all there is [Maudlin] |
| 16273 | If the Humean Mosaic is ontological bedrock, there can be no explanation of its structure [Maudlin] |
| 16275 | The 'spinning disc' is just impossible, because there cannot be 'homogeneous matter' [Maudlin] |
| 16258 | To get an ontology from ontological commitment, just add that some theory is actually true [Maudlin] |
| 16259 | Naïve translation from natural to formal language can hide or multiply the ontology [Maudlin] |
| 16253 | A property is fundamental if two objects can differ in only that respect [Maudlin] |
| 16263 | Fundamental physics seems to suggest there are no such things as properties [Maudlin] |
| 18451 | The presence of the incorporeal is only known by certain kinds of disposition [Porphyry] |
| 15034 | Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry] |
| 16260 | Existence of universals may just be decided by acceptance, or not, of second-order logic [Maudlin] |
| 18459 | Diversity arises from the power of unity [Porphyry] |
| 16277 | Logically impossible is metaphysically impossible, but logically possible is not metaphysically possible [Maudlin] |
| 16249 | A counterfactual antecedent commands the redescription of a selected moment [Maudlin] |
| 18452 | Memory is not conserved images, but reproduction of previous thought [Porphyry] |
| 16254 | Induction leaps into the unknown, but usually lands safely [Maudlin] |
| 16245 | Laws should help explain the things they govern, or that manifest them [Maudlin] |
| 18453 | Intelligence is aware of itself, so the intelligence is both the thinker and the thought [Porphyry] |
| 18462 | The soul is everywhere and nowhere in the body, and must be its cause [Porphyry] |
| 18463 | Successful introspection reveals the substrate along with the object of thought [Porphyry] |
| 18458 | The soul is bound to matter by the force of its own disposition [Porphyry] |
| 18464 | Justice is each person fulfilling his function [Porphyry] |
| 18448 | We should avoid the pleasures of love, or at least, should not enact our dreams [Porphyry] |
| 18444 | Civil virtues make us behave benevolently, and thereby unite citizens [Porphyry] |
| 18445 | Civil virtues control the passions, and make us conform to our nature [Porphyry] |
| 18446 | Purificatory virtues detach the soul completely from the passions [Porphyry] |
| 18447 | There are practical, purificatory, contemplative, and exemplary virtues [Porphyry] |
| 18456 | Unified real existence is neither great nor small, though greatness and smallness participate in it [Porphyry] |
| 16248 | Evaluating counterfactuals involves context and interests [Maudlin] |
| 16250 | We don't pick a similar world from many - we construct one possibility from the description [Maudlin] |
| 16268 | The counterfactual is ruined if some other cause steps in when the antecedent fails [Maudlin] |
| 16267 | If we know the cause of an event, we seem to assent to the counterfactual [Maudlin] |
| 16269 | If the effect hadn't occurred the cause wouldn't have happened, so counterfactuals are two-way [Maudlin] |
| 16247 | Laws are primitive, so two indiscernible worlds could have the same laws [Maudlin] |
| 16272 | Fundamental laws say how nature will, or might, evolve from some initial state [Maudlin] |
| 16242 | Laws of nature are ontological bedrock, and beyond analysis [Maudlin] |
| 16251 | 'Humans with prime house numbers are mortal' is not a law, because not a natural kind [Maudlin] |
| 16270 | If laws are just regularities, then there have to be laws [Maudlin] |
| 16264 | I believe the passing of time is a fundamental fact about the world [Maudlin] |
| 18454 | Time is the circular movement of the soul [Porphyry] |
| 18455 | Some think time is seen at rest, as well as in movement [Porphyry] |
| 16265 | If time passes, presumably it passes at one second per second [Maudlin] |
| 16266 | There is one ordered B series, but an infinitude of A series, depending on when the present is [Maudlin] |
| 18460 | God is nowhere, and hence everywhere [Porphyry] |
| 18461 | Everything existing proceeds from divinity, and is within divinity [Porphyry] |
| 18449 | Nature binds or detaches body to soul, but soul itself joins and detaches soul from body [Porphyry] |
| 18457 | Individual souls are all connected, though distinct, and without dividing universal Soul [Porphyry] |