45 ideas
5896 | Speak the truth, for this alone deifies man [Pythagoras, by Porphyry] |
3051 | Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius] |
4036 | What matters is not how many entities we postulate, but how many kinds of entities [Armstrong, by Mellor/Oliver] |
7485 | For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson] |
15754 | Without properties we would be unable to express the laws of nature [Armstrong] |
15435 | If you think universals are immanent, you must believe them to be sparse, and not every related predicate [Lewis] |
15451 | I assume there could be natural properties that are not instantiated in our world [Lewis] |
4034 | Whether we apply 'cold' or 'hot' to an object is quite separate from its change of temperature [Armstrong] |
8535 | To the claim that every predicate has a property, start by eliminating failure of application of predicate [Armstrong] |
8537 | Tropes fall into classes, because exact similarity is symmetrical and transitive [Armstrong] |
15433 | Tropes are particular properties, which cannot recur, but can be exact duplicates [Lewis] |
8538 | Trope theory needs extra commitments, to symmetry and non-transitivity, unless resemblance is exact [Armstrong] |
15436 | Universals are meant to give an account of resemblance [Lewis] |
8539 | Universals are required to give a satisfactory account of the laws of nature [Armstrong] |
8529 | Deniers of properties and relations rely on either predicates or on classes [Armstrong] |
8532 | Resemblances must be in certain 'respects', and they seem awfully like properties [Armstrong] |
8530 | Change of temperature in objects is quite independent of the predicates 'hot' and 'cold' [Armstrong] |
8536 | We want to know what constituents of objects are grounds for the application of predicates [Armstrong] |
8531 | In most sets there is no property common to all the members [Armstrong] |
15438 | We can add a primitive natural/unnatural distinction to class nominalism [Lewis] |
15448 | The 'magical' view of structural universals says they are atoms, even though they have parts [Lewis] |
15449 | If 'methane' is an atomic structural universal, it has nothing to connect it to its carbon universals [Lewis] |
15439 | The 'pictorial' view of structural universals says they are wholes made of universals as parts [Lewis] |
15441 | The structural universal 'methane' needs the universal 'hydrogen' four times over [Lewis] |
15445 | Butane and Isobutane have the same atoms, but different structures [Lewis] |
15434 | Structural universals have a necessary connection to the universals forming its parts [Lewis] |
15437 | We can't get rid of structural universals if there are no simple universals [Lewis] |
15446 | Composition is not just making new things from old; there are too many counterexamples [Lewis] |
15440 | A whole is distinct from its parts, but is not a further addition in ontology [Lewis] |
15444 | Different things (a toy house and toy car) can be made of the same parts at different times [Lewis] |
15753 | Essences might support Resemblance Nominalism, but they are too coarse and ill-defined [Armstrong] |
15450 | Maybe abstraction is just mereological subtraction [Lewis] |
15443 | Mathematicians abstract by equivalence classes, but that doesn't turn a many into one [Lewis] |
8533 | Predicates need ontological correlates to ensure that they apply [Armstrong] |
4035 | There must be some explanation of why certain predicates are applicable to certain objects [Armstrong] |
3053 | Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius] |
5244 | For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle] |
553 | Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle] |
554 | Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle] |
375 | When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato] |
638 | Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle] |
644 | For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle] |
8541 | Regularities theories are poor on causal connections, counterfactuals and probability [Armstrong] |
8540 | The introduction of sparse properties avoids the regularity theory's problem with 'grue' [Armstrong] |
7467 | The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson] |