32 ideas
9470 | Modal logic is not an extensional language [Parsons,C] |
13418 | The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C] |
9469 | Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C] |
9468 | On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C] |
17447 | Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck] |
18201 | General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C] |
13419 | If functions are transfinite objects, finitists can have no conception of them [Parsons,C] |
13417 | If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C] |
472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
1212 | Replacing timbers on Theseus' ship was the classic illustration of the problem of growth and change [Plutarch] |
5958 | The sun is always bright; it doesn't become bright when it emerges [Plutarch] |
5960 | When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch] |
5959 | Some philosophers say the soul is light [Plutarch] |
5952 | Rather than being the whole soul, maybe I am its chief part? [Plutarch] |
5951 | If atoms have no qualities, they cannot possibly produce a mind [Plutarch] |
5963 | Some say emotion is a sort of reason, and others say virtue concerns emotion [Plutarch] |
20796 | Action needs an affinity for a presentation, and an impulse toward the affinity [Plutarch] |
22511 | Some reasonings are stronger than we are [Philolaus] |
1477 | Being manly and brave is the result of convention, not of human nature [Plutarch] |
1478 | Animals don't value pleasure, as they cease sexual intercourse after impregnation [Plutarch] |
5948 | The good life involves social participation, loyalty, temperance and honesty [Plutarch] |
1479 | Animals have not been led into homosexuality, because they value pleasure very little [Plutarch] |
1519 | Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus] |
1518 | Everything must involve numbers, or it couldn't be thought about or known [Philolaus] |
473 | There is no falsehood in harmony and number, only in irrational things [Philolaus] |
469 | Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited [Philolaus] |
5950 | If only atoms exist, how do qualities arise when the atoms come together? [Plutarch] |
476 | Self-created numbers make the universe stable [Philolaus] |
1787 | Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius] |
5974 | People report seeing through rocks, or over the horizon, or impossibly small works [Plutarch] |
5957 | Absurd superstitions make people atheist, not disharmony in nature [Plutarch] |
5955 | No one will ever find a city that lacks religious practices [Plutarch] |