120 ideas
| 11300 | Agathon: good [PG] |
| 11301 | Aisthesis: perception, sensation, consciousness [PG] |
| 11302 | Aitia / aition: cause, explanation [PG] |
| 11303 | Akrasia: lack of control, weakness of will [PG] |
| 11304 | Aletheia: truth [PG] |
| 11305 | Anamnesis: recollection, remembrance [PG] |
| 11306 | Ananke: necessity [PG] |
| 11307 | Antikeimenon: object [PG] |
| 11375 | Apatheia: unemotional [PG] |
| 11308 | Apeiron: the unlimited, indefinite [PG] |
| 11376 | Aphairesis: taking away, abstraction [PG] |
| 11309 | Apodeixis: demonstration [PG] |
| 11310 | Aporia: puzzle, question, anomaly [PG] |
| 11311 | Arche: first principle, the basic [PG] |
| 11312 | Arete: virtue, excellence [PG] |
| 11313 | Chronismos: separation [PG] |
| 11314 | Diairesis: division [PG] |
| 11315 | Dialectic: dialectic, discussion [PG] |
| 11316 | Dianoia: intellection [cf. Noesis] [PG] |
| 11317 | Diaphora: difference [PG] |
| 11318 | Dikaiosune: moral goodness, justice [PG] |
| 11319 | Doxa: opinion, belief [PG] |
| 11320 | Dunamis: faculty, potentiality, capacity [PG] |
| 11321 | Eidos: form, idea [PG] |
| 11322 | Elenchos: elenchus, interrogation [PG] |
| 11323 | Empeiron: experience [PG] |
| 11324 | Energeia: employment, actuality, power? [PG] |
| 11325 | Enkrateia: control [PG] |
| 11326 | Entelecheia: entelechy, having an end [PG] |
| 11327 | Epagoge: induction, explanation [PG] |
| 11328 | Episteme: knowledge, understanding [PG] |
| 11329 | Epithumia: appetite [PG] |
| 11330 | Ergon: function [PG] |
| 11331 | Eristic: polemic, disputation [PG] |
| 11332 | Eros: love [PG] |
| 11333 | Eudaimonia: flourishing, happiness, fulfilment [PG] |
| 11334 | Genos: type, genus [PG] |
| 11335 | Hexis: state, habit [PG] |
| 11336 | Horismos: definition [PG] |
| 11337 | Hule: matter [PG] |
| 11338 | Hupokeimenon: subject, underlying thing [cf. Tode ti] [PG] |
| 11339 | Kalos / kalon: beauty, fineness, nobility [PG] |
| 11340 | Kath' hauto: in virtue of itself, essentially [PG] |
| 11341 | Kinesis: movement, process [PG] |
| 11342 | Kosmos: order, universe [PG] |
| 11343 | Logos: reason, account, word [PG] |
| 11344 | Meson: the mean [PG] |
| 11345 | Metechein: partaking, sharing [PG] |
| 11377 | Mimesis: imitation, fine art [PG] |
| 11346 | Morphe: form [PG] |
| 11347 | Noesis: intellection, rational thought [cf. Dianoia] [PG] |
| 11348 | Nomos: convention, law, custom [PG] |
| 11349 | Nous: intuition, intellect, understanding [PG] |
| 11350 | Orexis: desire [PG] |
| 11351 | Ousia: substance, (primary) being, [see 'Prote ousia'] [PG] |
| 11352 | Pathos: emotion, affection, property [PG] |
| 11353 | Phantasia: imagination [PG] |
| 11354 | Philia: friendship [PG] |
| 11355 | Philosophia: philosophy, love of wisdom [PG] |
| 11356 | Phronesis: prudence, practical reason, common sense [PG] |
| 11357 | Physis: nature [PG] |
| 11358 | Praxis: action, activity [PG] |
| 11359 | Prote ousia: primary being [PG] |
| 11360 | Psuche: mind, soul, life [PG] |
| 11361 | Sophia: wisdom [PG] |
| 11362 | Sophrosune: moderation, self-control [PG] |
| 11363 | Stoicheia: elements [PG] |
| 11364 | Sullogismos: deduction, syllogism [PG] |
| 11365 | Techne: skill, practical knowledge [PG] |
| 11366 | Telos: purpose, end [PG] |
| 11367 | Theoria: contemplation [PG] |
| 11368 | Theos: god [PG] |
| 11369 | Ti esti: what-something-is, essence [PG] |
| 11370 | Timoria: vengeance, punishment [PG] |
| 11371 | To ti en einai: essence, what-it-is-to-be [PG] |
| 11372 | To ti estin: essence [PG] |
| 11373 | Tode ti: this-such, subject of predication [cf. hupokeimenon] [PG] |
| 15901 | Trying to represent curves, we study arbitrary functions, leading to the ordinals, which produces set theory [Cantor, by Lavine] |
| 13444 | Cantor's Theorem: for any set x, its power set P(x) has more members than x [Cantor, by Hart,WD] |
| 18098 | Cantor proved that all sets have more subsets than they have members [Cantor, by Bostock] |
| 15505 | If a set is 'a many thought of as one', beginners should protest against singleton sets [Cantor, by Lewis] |
| 10865 | The continuum is the powerset of the integers, which moves up a level [Cantor, by Clegg] |
| 10701 | Cantor showed that supposed contradictions in infinity were just a lack of clarity [Cantor, by Potter] |
| 13016 | The Axiom of Union dates from 1899, and seems fairly obvious [Cantor, by Maddy] |
| 14199 | Cantor's sets were just collections, but Dedekind's were containers [Cantor, by Oliver/Smiley] |
| 10082 | There are infinite sets that are not enumerable [Cantor, by Smith,P] |
| 13483 | Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD] |
| 8710 | The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend] |
| 15910 | Cantor named the third realm between the finite and the Absolute the 'transfinite' [Cantor, by Lavine] |
| 15905 | Cantor proved the points on a plane are in one-to-one correspondence to the points on a line [Cantor, by Lavine] |
| 9983 | Cantor took the ordinal numbers to be primary [Cantor, by Tait] |
| 17798 | Cantor presented the totality of natural numbers as finite, not infinite [Cantor, by Mayberry] |
| 9971 | Cantor introduced the distinction between cardinals and ordinals [Cantor, by Tait] |
| 9892 | Cantor showed that ordinals are more basic than cardinals [Cantor, by Dummett] |
| 14136 | A cardinal is an abstraction, from the nature of a set's elements, and from their order [Cantor] |
| 15906 | Cantor tried to prove points on a line matched naturals or reals - but nothing in between [Cantor, by Lavine] |
| 11015 | Cantor's diagonal argument proved you can't list all decimal numbers between 0 and 1 [Cantor, by Read] |
| 15903 | A real is associated with an infinite set of infinite Cauchy sequences of rationals [Cantor, by Lavine] |
| 18251 | Irrational numbers are the limits of Cauchy sequences of rational numbers [Cantor, by Lavine] |
| 15902 | Irrationals and the Dedekind Cut implied infinite classes, but they seemed to have logical difficulties [Cantor, by Lavine] |
| 15908 | It was Cantor's diagonal argument which revealed infinities greater than that of the real numbers [Cantor, by Lavine] |
| 13464 | Cantor proposes that there won't be a potential infinity if there is no actual infinity [Cantor, by Hart,WD] |
| 10112 | The naturals won't map onto the reals, so there are different sizes of infinity [Cantor, by George/Velleman] |
| 17889 | CH: An infinite set of reals corresponds 1-1 either to the naturals or to the reals [Cantor, by Koellner] |
| 8733 | The Continuum Hypothesis says there are no sets between the natural numbers and reals [Cantor, by Shapiro] |
| 13447 | Cantor: there is no size between naturals and reals, or between a set and its power set [Cantor, by Hart,WD] |
| 10883 | Cantor's Continuum Hypothesis says there is a gap between the natural and the real numbers [Cantor, by Horsten] |
| 13528 | Continuum Hypothesis: there are no sets between N and P(N) [Cantor, by Wolf,RS] |
| 9555 | Continuum Hypothesis: no cardinal greater than aleph-null but less than cardinality of the continuum [Cantor, by Chihara] |
| 15893 | Cantor's theory concerns collections which can be counted, using the ordinals [Cantor, by Lavine] |
| 18174 | Cantor extended ordinals into the transfinite, and they can thus measure infinite cardinalities [Cantor, by Maddy] |
| 18173 | Cardinality strictly concerns one-one correspondence, to test infinite sameness of size [Cantor, by Maddy] |
| 10232 | Property extensions outstrip objects, so shortage of objects caused the Caesar problem [Cantor, by Shapiro] |
| 18176 | Pure mathematics is pure set theory [Cantor] |
| 8631 | Cantor says that maths originates only by abstraction from objects [Cantor, by Frege] |
| 4688 | We imagine small and large objects scaled to the same size, suggesting a fixed capacity for imagination [Lavers] |
| 8715 | Infinities expand the bounds of the conceivable; we explore concepts to explore conceivability [Cantor, by Friend] |
| 13454 | Cantor says (vaguely) that we abstract numbers from equal sized sets [Hart,WD on Cantor] |
| 10863 | Cantor proved that three dimensions have the same number of points as one dimension [Cantor, by Clegg] |
| 13465 | Only God is absolutely infinite [Cantor, by Hart,WD] |