123 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] |
13466 | We are all post-Kantians, because he set the current agenda for philosophy [Hart,WD] |
13477 | The problems are the monuments of philosophy [Hart,WD] |
13515 | To study abstract problems, some knowledge of set theory is essential [Hart,WD] |
13469 | Tarski showed how we could have a correspondence theory of truth, without using 'facts' [Hart,WD] |
13504 | Truth for sentences is satisfaction of formulae; for sentences, either all sequences satisfy it (true) or none do [Hart,WD] |
13503 | A first-order language has an infinity of T-sentences, which cannot add up to a definition of truth [Hart,WD] |
13500 | Conditional Proof: infer a conditional, if the consequent can be deduced from the antecedent [Hart,WD] |
13502 | ∃y... is read as 'There exists an individual, call it y, such that...', and not 'There exists a y such that...' [Hart,WD] |
13456 | Set theory articulates the concept of order (through relations) [Hart,WD] |
13497 | Nowadays ZFC and NBG are the set theories; types are dead, and NF is only useful for the whole universe [Hart,WD] |
13443 | ∈ relates across layers, while ⊆ relates within layers [Hart,WD] |
13442 | Without the empty set we could not form a∩b without checking that a and b meet [Hart,WD] |
13493 | In the modern view, foundation is the heart of the way to do set theory [Hart,WD] |
13495 | Foundation Axiom: an nonempty set has a member disjoint from it [Hart,WD] |
13461 | We can choose from finite and evident sets, but not from infinite opaque ones [Hart,WD] |
13462 | With the Axiom of Choice every set can be well-ordered [Hart,WD] |
13516 | If we accept that V=L, it seems to settle all the open questions of set theory [Hart,WD] |
13441 | Naïve set theory has trouble with comprehension, the claim that every predicate has an extension [Hart,WD] |
13494 | The iterative conception may not be necessary, and may have fixed points or infinitely descending chains [Hart,WD] |
13457 | A 'partial ordering' is irreflexive and transitive; the sets are ordered, but not the subsets [Hart,WD] |
13458 | A partial ordering becomes 'total' if any two members of its field are comparable [Hart,WD] |
13460 | 'Well-ordering' must have a least member, so it does the natural numbers but not the integers [Hart,WD] |
13490 | Von Neumann defines α<β as α∈β [Hart,WD] |
13481 | Maybe sets should be rethought in terms of the even more basic categories [Hart,WD] |
13506 | The universal quantifier can't really mean 'all', because there is no universal set [Hart,WD] |
13512 | Modern model theory begins with the proof of Los's Conjecture in 1962 [Hart,WD] |
13505 | Model theory studies how set theory can model sets of sentences [Hart,WD] |
13511 | Model theory is mostly confined to first-order theories [Hart,WD] |
13513 | Models are ways the world might be from a first-order point of view [Hart,WD] |
13496 | First-order logic is 'compact': consequences of a set are consequences of a finite subset [Hart,WD] |
13484 | Berry's Paradox: we succeed in referring to a number, with a term which says we can't do that [Hart,WD] |
13482 | The Burali-Forti paradox is a crisis for Cantor's ordinals [Hart,WD] |
13507 | The machinery used to solve the Liar can be rejigged to produce a new Liar [Hart,WD] |
13459 | The less-than relation < well-orders, and partially orders, and totally orders the ordinal numbers [Hart,WD] |
13491 | The axiom of infinity with separation gives a least limit ordinal ω [Hart,WD] |
13463 | There are at least as many infinite cardinals as transfinite ordinals (because they will map) [Hart,WD] |
13492 | Von Neumann's ordinals generalise into the transfinite better, because Zermelo's ω is a singleton [Hart,WD] |
13446 | 19th century arithmetization of analysis isolated the real numbers from geometry [Hart,WD] |
13509 | We can establish truths about infinite numbers by means of induction [Hart,WD] |
13474 | Euclid has a unique parallel, spherical geometry has none, and saddle geometry has several [Hart,WD] |
13471 | Mathematics makes existence claims, but philosophers usually say those are never analytic [Hart,WD] |
13488 | Mass words do not have plurals, or numerical adjectives, or use 'fewer' [Hart,WD] |
13480 | Fregean self-evidence is an intrinsic property of basic truths, rules and definitions [Hart,WD] |
13476 | The failure of key assumptions in geometry, mereology and set theory throw doubt on the a priori [Hart,WD] |
7413 | Without confidence in our beliefs, how should we actually live? [Tuck] |
13475 | The Fregean concept of GREEN is a function assigning true to green things, and false to the rest [Hart,WD] |