133 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] |
| 9535 | 'Contradictory' propositions always differ in truth-value [Lemmon] |
| 9511 | We write the conditional 'if P (antecedent) then Q (consequent)' as P→Q [Lemmon] |
| 9510 | That proposition that either P or Q is their 'disjunction', written P∨Q [Lemmon] |
| 9509 | That proposition that both P and Q is their 'conjunction', written P∧Q [Lemmon] |
| 9508 | The sign |- may be read as 'therefore' [Lemmon] |
| 9512 | We write the 'negation' of P (not-P) as ¬ [Lemmon] |
| 9513 | We write 'P if and only if Q' as P↔Q; it is also P iff Q, or (P→Q)∧(Q→P) [Lemmon] |
| 9514 | If A and B are 'interderivable' from one another we may write A -||- B [Lemmon] |
| 9516 | A 'well-formed formula' follows the rules for variables, ¬, →, ∧, ∨, and ↔ [Lemmon] |
| 9517 | The 'scope' of a connective is the connective, the linked formulae, and the brackets [Lemmon] |
| 9519 | A 'substitution-instance' is a wff formed by consistent replacing variables with wffs [Lemmon] |
| 9529 | A wff is 'inconsistent' if all assignments to variables result in the value F [Lemmon] |
| 9531 | 'Contrary' propositions are never both true, so that ¬(A∧B) is a tautology [Lemmon] |
| 9534 | Two propositions are 'equivalent' if they mirror one another's truth-value [Lemmon] |
| 9530 | A wff is 'contingent' if produces at least one T and at least one F [Lemmon] |
| 9532 | 'Subcontrary' propositions are never both false, so that A∨B is a tautology [Lemmon] |
| 9533 | A 'implies' B if B is true whenever A is true (so that A→B is tautologous) [Lemmon] |
| 9528 | A wff is a 'tautology' if all assignments to variables result in the value T [Lemmon] |
| 9518 | A 'theorem' is the conclusion of a provable sequent with zero assumptions [Lemmon] |
| 9398 | ∧I: Given A and B, we may derive A∧B [Lemmon] |
| 9397 | CP: Given a proof of B from A as assumption, we may derive A→B [Lemmon] |
| 9394 | MPP: Given A and A→B, we may derive B [Lemmon] |
| 9401 | ∨E: Derive C from A∨B, if C can be derived both from A and from B [Lemmon] |
| 9396 | DN: Given A, we may derive ¬¬A [Lemmon] |
| 9393 | A: we may assume any proposition at any stage [Lemmon] |
| 9399 | ∧E: Given A∧B, we may derive either A or B separately [Lemmon] |
| 9402 | RAA: If assuming A will prove B∧¬B, then derive ¬A [Lemmon] |
| 9395 | MTT: Given ¬B and A→B, we derive ¬A [Lemmon] |
| 9400 | ∨I: Given either A or B separately, we may derive A∨B [Lemmon] |
| 9521 | 'Modus tollendo ponens' (MTP) says ¬P, P ∨ Q |- Q [Lemmon] |
| 9522 | 'Modus ponendo tollens' (MPT) says P, ¬(P ∧ Q) |- ¬Q [Lemmon] |
| 9525 | We can change conditionals into negated conjunctions with P→Q -||- ¬(P ∧ ¬Q) [Lemmon] |
| 9524 | We can change conditionals into disjunctions with P→Q -||- ¬P ∨ Q [Lemmon] |
| 9523 | De Morgan's Laws make negated conjunctions/disjunctions into non-negated disjunctions/conjunctions [Lemmon] |
| 9527 | The Distributive Laws can rearrange a pair of conjunctions or disjunctions [Lemmon] |
| 9526 | We can change conjunctions into negated conditionals with P→Q -||- ¬(P → ¬Q) [Lemmon] |
| 9537 | Truth-tables are good for showing invalidity [Lemmon] |
| 9538 | A truth-table test is entirely mechanical, but this won't work for more complex logic [Lemmon] |
| 9536 | If any of the nine rules of propositional logic are applied to tautologies, the result is a tautology [Lemmon] |
| 9539 | Propositional logic is complete, since all of its tautologous sequents are derivable [Lemmon] |
| 13909 | Write '(∀x)(...)' to mean 'take any x: then...', and '(∃x)(...)' to mean 'there is an x such that....' [Lemmon] |
| 13902 | 'Gm' says m has property G, and 'Pmn' says m has relation P to n [Lemmon] |
| 13911 | The 'symbols' are bracket, connective, term, variable, predicate letter, reverse-E [Lemmon] |
| 13910 | Our notation uses 'predicate-letters' (for 'properties'), 'variables', 'proper names', 'connectives' and 'quantifiers' [Lemmon] |
| 13904 | Universal Elimination (UE) lets us infer that an object has F, from all things having F [Lemmon] |
| 13906 | With finite named objects, we can generalise with &-Intro, but otherwise we need ∀-Intro [Lemmon] |
| 13908 | UE all-to-one; UI one-to-all; EI arbitrary-to-one; EE proof-to-one [Lemmon] |
| 13901 | Predicate logic uses propositional connectives and variables, plus new introduction and elimination rules [Lemmon] |
| 13903 | Universal elimination if you start with the universal, introduction if you want to end with it [Lemmon] |
| 13905 | If there is a finite domain and all objects have names, complex conjunctions can replace universal quantifiers [Lemmon] |
| 13900 | 'Some Frenchmen are generous' is rendered by (∃x)(Fx→Gx), and not with the conditional → [Lemmon] |
| 9520 | The paradoxes of material implication are P |- Q → P, and ¬P |- P → Q [Lemmon] |
| 8108 | Aesthetics presupposes a distinctive sort of experience, and a unified essence for art [Gardner] |
| 8112 | Art works originate in the artist's mind, and appreciation is re-creating this mental object [Gardner] |
| 8111 | Aesthetic objectivists must explain pleasure being essential, but not in the object [Gardner] |
| 8109 | Aesthetic judgements necessarily require first-hand experience, unlike moral judgements [Gardner] |