Combining Texts

All the ideas for 'Db (lexicon)', 'Introduction to the Philosophy of Mathematics' and 'Why Propositions cannot be concrete'

expand these ideas     |    start again     |     specify just one area for these texts


102 ideas

1. Philosophy / B. History of Ideas / 3. Greek-English Lexicon
Agathon: good [PG]
Aisthesis: perception, sensation, consciousness [PG]
Aitia / aition: cause, explanation [PG]
Akrasia: lack of control, weakness of will [PG]
Aletheia: truth [PG]
Anamnesis: recollection, remembrance [PG]
Ananke: necessity [PG]
Antikeimenon: object [PG]
Apatheia: unemotional [PG]
Apeiron: the unlimited, indefinite [PG]
Aphairesis: taking away, abstraction [PG]
Apodeixis: demonstration [PG]
Aporia: puzzle, question, anomaly [PG]
Arche: first principle, the basic [PG]
Arete: virtue, excellence [PG]
Chronismos: separation [PG]
Diairesis: division [PG]
Dialectic: dialectic, discussion [PG]
Dianoia: intellection [cf. Noesis] [PG]
Diaphora: difference [PG]
Dikaiosune: moral goodness, justice [PG]
Doxa: opinion, belief [PG]
Dunamis: faculty, potentiality, capacity [PG]
Eidos: form, idea [PG]
Elenchos: elenchus, interrogation [PG]
Empeiron: experience [PG]
Energeia: employment, actuality, power? [PG]
Enkrateia: control [PG]
Entelecheia: entelechy, having an end [PG]
Epagoge: induction, explanation [PG]
Episteme: knowledge, understanding [PG]
Epithumia: appetite [PG]
Ergon: function [PG]
Eristic: polemic, disputation [PG]
Eros: love [PG]
Eudaimonia: flourishing, happiness, fulfilment [PG]
Genos: type, genus [PG]
Hexis: state, habit [PG]
Horismos: definition [PG]
Hule: matter [PG]
Hupokeimenon: subject, underlying thing [cf. Tode ti] [PG]
Kalos / kalon: beauty, fineness, nobility [PG]
Kath' hauto: in virtue of itself, essentially [PG]
Kinesis: movement, process [PG]
Kosmos: order, universe [PG]
Logos: reason, account, word [PG]
Meson: the mean [PG]
Metechein: partaking, sharing [PG]
Mimesis: imitation, fine art [PG]
Morphe: form [PG]
Noesis: intellection, rational thought [cf. Dianoia] [PG]
Nomos: convention, law, custom [PG]
Nous: intuition, intellect, understanding [PG]
Orexis: desire [PG]
Ousia: substance, (primary) being, [see 'Prote ousia'] [PG]
Pathos: emotion, affection, property [PG]
Phantasia: imagination [PG]
Philia: friendship [PG]
Philosophia: philosophy, love of wisdom [PG]
Phronesis: prudence, practical reason, common sense [PG]
Physis: nature [PG]
Praxis: action, activity [PG]
Prote ousia: primary being [PG]
Psuche: mind, soul, life [PG]
Sophia: wisdom [PG]
Sophrosune: moderation, self-control [PG]
Stoicheia: elements [PG]
Sullogismos: deduction, syllogism [PG]
Techne: skill, practical knowledge [PG]
Telos: purpose, end [PG]
Theoria: contemplation [PG]
Theos: god [PG]
Ti esti: what-something-is, essence [PG]
Timoria: vengeance, punishment [PG]
To ti en einai: essence, what-it-is-to-be [PG]
To ti estin: essence [PG]
Tode ti: this-such, subject of predication [cf. hupokeimenon] [PG]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Rejecting double negation elimination undermines reductio proofs [Colyvan]
Showing a disproof is impossible is not a proof, so don't eliminate double negation [Colyvan]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Axioms are 'categorical' if all of their models are isomorphic [Colyvan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinal numbers represent order relations [Colyvan]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Intuitionists only accept a few safe infinities [Colyvan]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
Transfinite induction moves from all cases, up to the limit ordinal [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Most mathematical proofs are using set theory, but without saying so [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan]
14. Science / C. Induction / 6. Bayes's Theorem
Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Mathematics can reveal structural similarities in diverse systems [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
Mathematics can show why some surprising events have to occur [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof
Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan]
Reductio proofs do not seem to be very explanatory [Colyvan]
If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan]
Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan]
18. Thought / E. Abstraction / 1. Abstract Thought
The idea of abstract objects is not ontological; it comes from the epistemological idea of abstraction [Plantinga]
Theists may see abstract objects as really divine thoughts [Plantinga]
19. Language / D. Propositions / 3. Concrete Propositions
If propositions are concrete they don't have to exist, and so they can't be necessary truths [Plantinga]
19. Language / D. Propositions / 4. Mental Propositions
Propositions can't just be in brains, because 'there are no human beings' might be true [Plantinga]