102 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] |
22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
10183 | An infinite set maps into its own proper subset [Dedekind, by Reck/Price] |
22288 | We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter] |
10706 | Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter] |
9823 | Numbers are free creations of the human mind, to understand differences [Dedekind] |
10090 | Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman] |
17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
14131 | Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell] |
14437 | Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell] |
18094 | Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock] |
9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
9826 | A system S is said to be infinite when it is similar to a proper part of itself [Dedekind] |
13508 | Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD] |
18096 | Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock] |
18841 | Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind] |
14130 | Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell] |
8924 | Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride] |
9153 | Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K] |
9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
9189 | Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett] |
9827 | We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind] |
9979 | Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |