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All the ideas for 'Parmenides', 'Db (lexicon)' and 'Philosophy of Mathematics'

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117 ideas

1. Philosophy / B. History of Ideas / 3. Greek-English Lexicon
Agathon: good [PG]
     Full Idea: Agathon: good, the highest good
     From: PG (Db (lexicon) [c.1001 BCE], 01)
Aisthesis: perception, sensation, consciousness [PG]
     Full Idea: Aisthesis: perception, sensation, consciousness
     From: PG (Db (lexicon) [c.1001 BCE], 02)
Aitia / aition: cause, explanation [PG]
     Full Idea: Aitia / aition: cause, explanation
     From: PG (Db (lexicon) [c.1001 BCE], 03)
     A reaction: The consensus is that 'explanation' is the better translation, and hence that the famous Four Causes (in 'Physics') must really be understood as the Four Modes of Explanation. They then make far more sense.
Akrasia: lack of control, weakness of will [PG]
     Full Idea: Akrasia: lack of control, weakness of will
     From: PG (Db (lexicon) [c.1001 BCE], 04)
     A reaction: The whole Greek debate (and modern debate, I would say) makes much more sense if we stick to 'lack of control' as the translation, and forget about weakness of will - and certainly give up 'incontinence' as a translation.
Aletheia: truth [PG]
     Full Idea: Aletheia: truth
     From: PG (Db (lexicon) [c.1001 BCE], 05)
Anamnesis: recollection, remembrance [PG]
     Full Idea: Anamnesis: recollection, remembrance
     From: PG (Db (lexicon) [c.1001 BCE], 06)
     A reaction: This is used for Plato's doctrine that we recollect past lives.
Ananke: necessity [PG]
     Full Idea: Ananke: necessity
     From: PG (Db (lexicon) [c.1001 BCE], 07)
Antikeimenon: object [PG]
     Full Idea: Antikeimenon: object
     From: PG (Db (lexicon) [c.1001 BCE], 08)
Apatheia: unemotional [PG]
     Full Idea: Apatheia: lack of involvement, unemotional
     From: PG (Db (lexicon) [c.1001 BCE], 09)
Apeiron: the unlimited, indefinite [PG]
     Full Idea: Apeiron: the unlimited, indefinite
     From: PG (Db (lexicon) [c.1001 BCE], 10)
     A reaction: Key term in the philosophy of Anaximander, the one unknowable underlying element.
Aphairesis: taking away, abstraction [PG]
     Full Idea: Aphairesis: taking away, abstraction
     From: PG (Db (lexicon) [c.1001 BCE], 11)
Apodeixis: demonstration [PG]
     Full Idea: Apodeixis: demonstration, proof
     From: PG (Db (lexicon) [c.1001 BCE], 12)
Aporia: puzzle, question, anomaly [PG]
     Full Idea: Aporia: puzzle, question, anomaly
     From: PG (Db (lexicon) [c.1001 BCE], 13)
Arche: first principle, the basic [PG]
     Full Idea: Arché: first principle, the basic
     From: PG (Db (lexicon) [c.1001 BCE], 14)
     A reaction: Interchangeable with 'aitia' by Aristotle. The first principle and the cause are almost identical.
Arete: virtue, excellence [PG]
     Full Idea: Areté: virtue, excellence
     From: PG (Db (lexicon) [c.1001 BCE], 15)
     A reaction: The word hovers between moral excellence and being good at what you do. Annas defends the older translation as 'virtue', rather than the modern 'excellence'.
Chronismos: separation [PG]
     Full Idea: Chronismos: separation
     From: PG (Db (lexicon) [c.1001 BCE], 16)
Diairesis: division [PG]
     Full Idea: Diairesis: division, distinction
     From: PG (Db (lexicon) [c.1001 BCE], 17)
Dialectic: dialectic, discussion [PG]
     Full Idea: Dialectic: dialectic, discussion
     From: PG (Db (lexicon) [c.1001 BCE], 18)
Dianoia: intellection [cf. Noesis] [PG]
     Full Idea: Dianoia: intellection, understanding [cf. Noesis]
     From: PG (Db (lexicon) [c.1001 BCE], 21)
Diaphora: difference [PG]
     Full Idea: Diaphora: difference
     From: PG (Db (lexicon) [c.1001 BCE], 22)
Dikaiosune: moral goodness, justice [PG]
     Full Idea: Dikaiosune: moral goodness, justice
     From: PG (Db (lexicon) [c.1001 BCE], 23)
     A reaction: Usually translated as 'justice' in 'Republic', but it is a general term of moral approbation, not like the modern political and legal notion of 'justice'. 'Justice' actually seems to be bad translation.
Doxa: opinion, belief [PG]
     Full Idea: Doxa: opinion, belief, judgement
     From: PG (Db (lexicon) [c.1001 BCE], 24)
Dunamis: faculty, potentiality, capacity [PG]
     Full Idea: Dunamis: faculty, potentiality, capacity
     From: PG (Db (lexicon) [c.1001 BCE], 25)
Eidos: form, idea [PG]
     Full Idea: Eidos: form, idea
     From: PG (Db (lexicon) [c.1001 BCE], 26)
     A reaction: In Plato it is the word best translated as 'Form' (Theory of...); in Aritotle's 'Categories' it designates the species, and in 'Metaphysics' it ends up naming the structural form of the species (and hence the essence) [Wedin p.120]
Elenchos: elenchus, interrogation [PG]
     Full Idea: Elenchos: elenchus, interrogation
     From: PG (Db (lexicon) [c.1001 BCE], 27)
Empeiron: experience [PG]
     Full Idea: Empeiron: experience
     From: PG (Db (lexicon) [c.1001 BCE], 28)
Energeia: employment, actuality, power? [PG]
     Full Idea: Energeia: employment, actuality, power?
     From: PG (Db (lexicon) [c.1001 BCE], 31)
Enkrateia: control [PG]
     Full Idea: Enkrateia: control
     From: PG (Db (lexicon) [c.1001 BCE], 32)
     A reaction: See 'akrasia', of which this is the opposite. The enkratic person is controlled.
Entelecheia: entelechy, having an end [PG]
     Full Idea: Entelecheia: entelechy, having an end
     From: PG (Db (lexicon) [c.1001 BCE], 33)
Epagoge: induction, explanation [PG]
     Full Idea: Epagoge: induction, explanation, leading on
     From: PG (Db (lexicon) [c.1001 BCE], 34)
Episteme: knowledge, understanding [PG]
     Full Idea: Episteme: knowledge, understanding
     From: PG (Db (lexicon) [c.1001 BCE], 35)
     A reaction: Note that 'episteme' can form a plural in Greek, but we can't say 'knowledges', so we have to say 'branches of knowledge', or 'sciences'.
Epithumia: appetite [PG]
     Full Idea: Epithumia: appetite
     From: PG (Db (lexicon) [c.1001 BCE], 36)
Ergon: function [PG]
     Full Idea: Ergon: function, work
     From: PG (Db (lexicon) [c.1001 BCE], 37)
Eristic: polemic, disputation [PG]
     Full Idea: Eristic: polemic, disputation
     From: PG (Db (lexicon) [c.1001 BCE], 38)
     A reaction: This is confrontational argument, rather than the subtle co-operative dialogue of dialectic. British law courts and the House of Commons are founded on eristic, rather than on dialectic. Could there be a dialectical elected assembly?
Eros: love [PG]
     Full Idea: Eros: love, desire
     From: PG (Db (lexicon) [c.1001 BCE], 41)
Eudaimonia: flourishing, happiness, fulfilment [PG]
     Full Idea: Eudaimonia: flourishing, happiness, fulfilment
     From: PG (Db (lexicon) [c.1001 BCE], 42)
     A reaction: Some people defend 'happiness' as the translation, but that seems to me wildly misleading, since eudaimonia is something like life going well, and certainly isn't a psychological state - and definitely not pleasure.
Genos: type, genus [PG]
     Full Idea: Genos: type, genus, kind
     From: PG (Db (lexicon) [c.1001 BCE], 43)
Hexis: state, habit [PG]
     Full Idea: Hexis: state, habit
     From: PG (Db (lexicon) [c.1001 BCE], 44)
Horismos: definition [PG]
     Full Idea: Horismos: definition
     From: PG (Db (lexicon) [c.1001 BCE], 45)
Hule: matter [PG]
     Full Idea: Hule: matter
     From: PG (Db (lexicon) [c.1001 BCE], 46)
     A reaction: The first half of the 'hylomorphism' of Aristotle. See 'morphe'!
Hupokeimenon: subject, underlying thing [cf. Tode ti] [PG]
     Full Idea: Hupokeimenon: subject, underlying thing, substratum [cf. Tode ti]
     From: PG (Db (lexicon) [c.1001 BCE], 47)
     A reaction: Literally 'that which lies under'. Latin version is 'substratum'. In Aristotle it is the problem, of explaining what lies under. It is not the theory that there is some entity called a 'substratum'.
Kalos / kalon: beauty, fineness, nobility [PG]
     Full Idea: Kalos / kalon: beauty, fineness, nobility
     From: PG (Db (lexicon) [c.1001 BCE], 48)
     A reaction: A revealing Greek word, which is not only our rather pure notion of 'beauty', but also seems to mean something like wow!, and (very suggestive, this) applies as much to actions as to objects.
Kath' hauto: in virtue of itself, essentially [PG]
     Full Idea: Kath' hauto: in virtue of itself, essentially
     From: PG (Db (lexicon) [c.1001 BCE], 51)
Kinesis: movement, process [PG]
     Full Idea: Kinesis: movement, process, change
     From: PG (Db (lexicon) [c.1001 BCE], 52)
Kosmos: order, universe [PG]
     Full Idea: Kosmos: order, universe
     From: PG (Db (lexicon) [c.1001 BCE], 53)
Logos: reason, account, word [PG]
     Full Idea: Logos: reason, account, word
     From: PG (Db (lexicon) [c.1001 BCE], 54)
Meson: the mean [PG]
     Full Idea: Meson: the mean
     From: PG (Db (lexicon) [c.1001 BCE], 55)
     A reaction: This is not the 'average', and hence not some theoretical mid-point. I would call it the 'appropriate compromise', remembering that an extreme may be appropriate in certain circumstances.
Metechein: partaking, sharing [PG]
     Full Idea: Metechein: partaking, sharing
     From: PG (Db (lexicon) [c.1001 BCE], 56)
     A reaction: The key word in Plato for the difficult question of the relationships between the Forms and the particulars. The latter 'partake' of the former. Hm. Compare modern 'instantiation', which strikes me as being equally problematic.
Mimesis: imitation, fine art [PG]
     Full Idea: Mimesis: imitation, fine art
     From: PG (Db (lexicon) [c.1001 BCE], 57)
Morphe: form [PG]
     Full Idea: Morphe: form
     From: PG (Db (lexicon) [c.1001 BCE], 58)
Noesis: intellection, rational thought [cf. Dianoia] [PG]
     Full Idea: Noesis: intellection, rational thought [cf. Dianoia]
     From: PG (Db (lexicon) [c.1001 BCE], 59)
Nomos: convention, law, custom [PG]
     Full Idea: Nomos: convention, law, custom
     From: PG (Db (lexicon) [c.1001 BCE], 61)
Nous: intuition, intellect, understanding [PG]
     Full Idea: Nous: intuition, intellect
     From: PG (Db (lexicon) [c.1001 BCE], 62)
     A reaction: There is a condensed discussion of 'nous' in Aristotle's Posterior Analytics B.19
Orexis: desire [PG]
     Full Idea: Orexis: desire
     From: PG (Db (lexicon) [c.1001 BCE], 63)
Ousia: substance, (primary) being, [see 'Prote ousia'] [PG]
     Full Idea: Ousia: substance, (primary) being [see 'Prote ousia']
     From: PG (Db (lexicon) [c.1001 BCE], 64)
     A reaction: It is based on the verb 'to be'. Latin therefore translated it as 'essentia' (esse: to be), and we have ended up translating it as 'essence', but this is wrong! 'Being' is the best translation, and 'substance' is OK. It is the problem, not the answer.
Pathos: emotion, affection, property [PG]
     Full Idea: Pathos: emotion, affection, property
     From: PG (Db (lexicon) [c.1001 BCE], 65)
Phantasia: imagination [PG]
     Full Idea: Phantasia: imagination
     From: PG (Db (lexicon) [c.1001 BCE], 66)
Philia: friendship [PG]
     Full Idea: Philia: friendship
     From: PG (Db (lexicon) [c.1001 BCE], 67)
Philosophia: philosophy, love of wisdom [PG]
     Full Idea: Philosophia: philosophy, love of wisdom
     From: PG (Db (lexicon) [c.1001 BCE], 68)
     A reaction: The point of the word is its claim only to love wisdom, and not actually to be wise.
Phronesis: prudence, practical reason, common sense [PG]
     Full Idea: Phronesis: prudence, practical reason, common sense
     From: PG (Db (lexicon) [c.1001 BCE], 71)
     A reaction: None of the experts use my own translation, which is 'common sense', but that seems to me to perfectly fit all of Aristotle's discussions of the word in 'Ethics'. 'Prudence' seems a daft translation in modern English.
Physis: nature [PG]
     Full Idea: Physis: nature
     From: PG (Db (lexicon) [c.1001 BCE], 72)
Praxis: action, activity [PG]
     Full Idea: Praxis: action, activity
     From: PG (Db (lexicon) [c.1001 BCE], 73)
Prote ousia: primary being [PG]
     Full Idea: Prote ousia: primary being
     From: PG (Db (lexicon) [c.1001 BCE], 74)
     A reaction: The main topic of investigation in Aristotle's 'Metaphysics'. 'Ousia' is the central problem of the text, NOT the answer to the problem.
Psuche: mind, soul, life [PG]
     Full Idea: Psuche: mind, soul, life
     From: PG (Db (lexicon) [c.1001 BCE], 75)
     A reaction: The interesting thing about this is that we have tended to translate it as 'soul', but Aristotle says plants have it, and not merely conscious beings. It is something like the 'form' of a living thing, but then 'form' is a misleading translation too.
Sophia: wisdom [PG]
     Full Idea: Sophia: wisdom
     From: PG (Db (lexicon) [c.1001 BCE], 76)
Sophrosune: moderation, self-control [PG]
     Full Idea: Sophrosune: moderation, self-control
     From: PG (Db (lexicon) [c.1001 BCE], 77)
Stoicheia: elements [PG]
     Full Idea: Stoicheia: elements
     From: PG (Db (lexicon) [c.1001 BCE], 78)
Sullogismos: deduction, syllogism [PG]
     Full Idea: Sullogismos: deduction, syllogism
     From: PG (Db (lexicon) [c.1001 BCE], 81)
Techne: skill, practical knowledge [PG]
     Full Idea: Techne: skill, practical knowledge
     From: PG (Db (lexicon) [c.1001 BCE], 82)
Telos: purpose, end [PG]
     Full Idea: Telos: purpose, end
     From: PG (Db (lexicon) [c.1001 BCE], 83)
Theoria: contemplation [PG]
     Full Idea: Theoria: contemplation
     From: PG (Db (lexicon) [c.1001 BCE], 84)
Theos: god [PG]
     Full Idea: Theos: god
     From: PG (Db (lexicon) [c.1001 BCE], 85)
Ti esti: what-something-is, essence [PG]
     Full Idea: Ti esti: the what-something-is, essence, whatness
     From: PG (Db (lexicon) [c.1001 BCE], 86)
Timoria: vengeance, punishment [PG]
     Full Idea: Timoria: vengeance, punishment
     From: PG (Db (lexicon) [c.1001 BCE], 87)
To ti en einai: essence, what-it-is-to-be [PG]
     Full Idea: To ti en einai: essence, what-it-is-to-be
     From: PG (Db (lexicon) [c.1001 BCE], 88)
     A reaction: This is Aristotle's main term for what we would now call the 'essence'. It is still not a theory of essence, merely an identification of the target. 'Form' is the nearest we get to his actual theory.
To ti estin: essence [PG]
     Full Idea: To ti estin: essence
     From: PG (Db (lexicon) [c.1001 BCE], 91)
Tode ti: this-such, subject of predication [cf. hupokeimenon] [PG]
     Full Idea: Tode ti: this-something, subject of predication, thisness [cf. hupokeimenon]
     From: PG (Db (lexicon) [c.1001 BCE], 92)
2. Reason / A. Nature of Reason / 1. On Reason
When questions are doubtful we should concentrate not on objects but on ideas of the intellect [Plato]
     Full Idea: Doubtful questions should not be discussed in terms of visible objects or in relation to them, but only with reference to ideas conceived by the intellect.
     From: Plato (Parmenides [c.364 BCE], 135e)
2. Reason / B. Laws of Thought / 5. Opposites
Opposites are as unlike as possible [Plato]
     Full Idea: Opposites are as unlike as possible.
     From: Plato (Parmenides [c.364 BCE], 159a)
2. Reason / C. Styles of Reason / 1. Dialectic
Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic [Hegel on Plato]
     Full Idea: Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic.
     From: comment on Plato (Parmenides [c.364 BCE]) by Georg W.F.Hegel - Phenomenology of Spirit Pref 71
     A reaction: It is a long way from the analytic tradition of philosophy to be singling out a classic text for its 'artistic' achievement. Eventually we may even look back on, say, Kripke's 'Naming and Necessity' and see it in that light.
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
     Full Idea: Definitions are called 'predicative', and are considered sound, if they only refer to entities which exist independently from the defined collection.
     From: Leon Horsten (Philosophy of Mathematics [2007], §2.4)
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
     Full Idea: If a theory has, up to isomorphism, exactly one model, then it is said to be 'categorical'.
     From: Leon Horsten (Philosophy of Mathematics [2007], §5.2)
5. Theory of Logic / L. Paradox / 3. Antinomies
Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
     Full Idea: Plato (in 'Parmenides') shows that the theory that 'Eide' are substances, and Kant that space and time are substances, and Bradley that relations are substances, all lead to aninomies.
     From: report of Plato (Parmenides [c.364 BCE]) by Gilbert Ryle - Are there propositions? 'Objections'
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
     Full Idea: Plato's 'Parmenides' is perhaps the best collection of antinomies ever made.
     From: comment on Plato (Parmenides [c.364 BCE]) by Bertrand Russell - The Principles of Mathematics §337
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
     Full Idea: Mathematicians are uncomfortable with computerised proofs because a 'good' proof should do more than convince us that a certain statement is true. It should also explain why the statement in question holds.
     From: Leon Horsten (Philosophy of Mathematics [2007], §5.3)
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
     Full Idea: The notion of an ordinal number is a set-theoretic, and hence non-arithmetical, concept.
     From: Leon Horsten (Philosophy of Mathematics [2007], §2.3)
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
     Full Idea: If one is, there must also necessarily be number - Necessarily - But if there is number, there would be many, and an unlimited multitude of beings. ..So if all partakes of being, each part of number would also partake of it.
     From: Plato (Parmenides [c.364 BCE], 144a)
     A reaction: This seems to commit to numbers having being, then to too many numbers, and hence to too much being - but without backing down and wondering whether numbers had being after all. Aristotle disagreed.
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
The one was and is and will be and was becoming and is becoming and will become [Plato]
     Full Idea: The one was and is and will be and was becoming and is becoming and will become.
     From: Plato (Parmenides [c.364 BCE], 155d)
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Plato's Parmenides has a three-part theory, of Primal One, a One-Many, and a One-and-Many [Plato, by Plotinus]
     Full Idea: The Platonic Parmenides is more exact [than Parmenides himself]; the distinction is made between the Primal One, a strictly pure Unity, and a secondary One which is a One-Many, and a third which is a One-and-Many.
     From: report of Plato (Parmenides [c.364 BCE]) by Plotinus - The Enneads 5.1.08
     A reaction: Plotinus approves of this three-part theory. Parmenides has the problem that the highest Being contains no movement. By placing the One outside Being you can give it powers which an existent thing cannot have. Cf the concept of God.
7. Existence / D. Theories of Reality / 3. Reality
Absolute ideas, such as the Good and the Beautiful, cannot be known by us [Plato]
     Full Idea: The absolute good and the beautiful and all which we conceive to be absolute ideas are unknown to us.
     From: Plato (Parmenides [c.364 BCE], 134c)
8. Modes of Existence / D. Universals / 2. Need for Universals
You must always mean the same thing when you utter the same name [Plato]
     Full Idea: You must always mean the same thing when you utter the same name.
     From: Plato (Parmenides [c.364 BCE], 147d)
If you deny that each thing always stays the same, you destroy the possibility of discussion [Plato]
     Full Idea: If a person denies that the idea of each thing is always the same, he will utterly destroy the power of carrying on discussion.
     From: Plato (Parmenides [c.364 BCE], 135c)
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt [Plato]
     Full Idea: Are there abstract ideas for such things as hair, mud and dirt, which are particularly vile and worthless? That would be quite absurd.
     From: Plato (Parmenides [c.364 BCE], 130d)
The concept of a master includes the concept of a slave [Plato]
     Full Idea: Mastership in the abstract is mastership of slavery in the abstract.
     From: Plato (Parmenides [c.364 BCE], 133e)
If admirable things have Forms, maybe everything else does as well [Plato]
     Full Idea: It is troubling that if admirable things have abstract ideas, then perhaps everything else must have ideas as well.
     From: Plato (Parmenides [c.364 BCE], 130d)
If absolute ideas existed in us, they would cease to be absolute [Plato]
     Full Idea: None of the absolute ideas exists in us, because then it would no longer be absolute.
     From: Plato (Parmenides [c.364 BCE], 133c)
Greatness and smallness must exist, to be opposed to one another, and come into being in things [Plato]
     Full Idea: These two ideas, greatness and smallness, exist, do they not? For if they did not exist, they could not be opposites of one another, and could not come into being in things.
     From: Plato (Parmenides [c.364 BCE], 149e)
Plato moves from Forms to a theory of genera and principles in his later work [Plato, by Frede,M]
     Full Idea: It seems to me that Plato in the later dialogues, beginning with the second half of 'Parmenides', wants to substitute a theory of genera and theory of principles that constitute these genera for the earlier theory of forms.
     From: report of Plato (Parmenides [c.364 BCE]) by Michael Frede - Title, Unity, Authenticity of the 'Categories' V
     A reaction: My theory is that the later Plato came under the influence of the brilliant young Aristotle, and this idea is a symptom of it. The theory of 'principles' sounds like hylomorphism to me.
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Participation is not by means of similarity, so we are looking for some other method of participation [Plato]
     Full Idea: Participation is not by means of likeness, so we must seek some other method of participation.
     From: Plato (Parmenides [c.364 BCE], 133a)
The whole idea of each Form must be found in each thing which participates in it [Plato]
     Full Idea: The whole idea of each form (of beauty, justice etc) must be found in each thing which participates in it.
     From: Plato (Parmenides [c.364 BCE], 131a)
If things partake of ideas, this implies either that everything thinks, or that everything actually is thought [Plato]
     Full Idea: If all things partake of ideas, must either everything be made of thoughts and everything thinks, or everything is thought, and so can't think?
     From: Plato (Parmenides [c.364 BCE], 132c)
Each idea is in all its participants at once, just as daytime is a unity but in many separate places at once [Plato]
     Full Idea: Just as day is in many places at once, but not separated from itself, so each idea might be in all its participants at once.
     From: Plato (Parmenides [c.364 BCE], 131b)
If things are made alike by participating in something, that thing will be the absolute idea [Plato]
     Full Idea: That by participation in which like things are made like, will be the absolute idea, will it not?
     From: Plato (Parmenides [c.364 BCE], 132e)
8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
Nothing can be like an absolute idea, because a third idea intervenes to make them alike (leading to a regress) [Plato]
     Full Idea: It is impossible for anything to be like an absolute idea, because a third idea will appear to make them alike, and if that is like anything, it will lead to another idea, and so on.
     From: Plato (Parmenides [c.364 BCE], 133a)
If absolute greatness and great things are seen as the same, another thing appears which makes them seem great [Plato]
     Full Idea: If you regard the absolute great and the many great things in the same way, will not another appear beyond, by which all these must appear to be great?
     From: Plato (Parmenides [c.364 BCE], 132a)
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Parts must belong to a created thing with a distinct form [Plato]
     Full Idea: The part would not be the part of many things or all, but of some one character ['ideas'] and of some one thing, which we call a 'whole', since it has come to be one complete [perfected] thing composed [created] of all.
     From: Plato (Parmenides [c.364 BCE], 157d)
     A reaction: A serious shot by Plato at what identity is. Harte quotes it (125) and shows that 'character' is Gk 'idea', and 'composed' will translate as 'created'. 'Form' links this Platonic passage to Aristotle's hylomorphism.
9. Objects / C. Structure of Objects / 5. Composition of an Object
In Parmenides, if composition is identity, a whole is nothing more than its parts [Plato, by Harte,V]
     Full Idea: At the heart of the 'Parmenides' puzzles about composition is the thesis that composition is identity. Considered thus, a whole adds nothing to an ontology that already includes its parts
     From: report of Plato (Parmenides [c.364 BCE]) by Verity Harte - Plato on Parts and Wholes 2.5
     A reaction: There has to be more to a unified identity that mere proximity of the parts. When do parts come together, and when do they actually 'compose' something?
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Plato says only a one has parts, and a many does not [Plato, by Harte,V]
     Full Idea: In 'Parmenides' it is argued that a part cannot be part of a many, but must be part of something one.
     From: report of Plato (Parmenides [c.364 BCE], 157c) by Verity Harte - Plato on Parts and Wholes 3.2
     A reaction: This looks like the right way to go with the term 'part'. We presuppose a unity before we even talk of its parts, so we can't get into contradictions and paradoxes about their relationships.
Anything which has parts must be one thing, and parts are of a one, not of a many [Plato]
     Full Idea: The whole of which the parts are parts must be one thing composed of many; for each of the parts must be part, not of a many, but of a whole.
     From: Plato (Parmenides [c.364 BCE], 157c)
     A reaction: This is a key move of metaphysics, and we should hang on to it. The other way madness lies.
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
It seems that the One must be composed of parts, which contradicts its being one [Plato]
     Full Idea: The One must be composed of parts, both being a whole and having parts. So on both grounds the One would thus be many and not one. But it must be not many, but one. So if the One will be one, it will neither be a whole, nor have parts.
     From: Plato (Parmenides [c.364 BCE], 137c09), quoted by Kathrin Koslicki - The Structure of Objects 5.2
     A reaction: This is the starting point for Plato's metaphysical discussion of objects. It seems to begin a line of thought which is completed by Aristotle, surmising that only an essential structure can bestow identity on a bunch of parts.
9. Objects / F. Identity among Objects / 6. Identity between Objects
Two things relate either as same or different, or part of a whole, or the whole of the part [Plato]
     Full Idea: Everything is surely related to everything as follows: either it is the same or different; or, if it is not the same or different, it would be related as part to whole or as whole to part.
     From: Plato (Parmenides [c.364 BCE], 146b)
     A reaction: This strikes me as a really helpful first step in trying to analyse the nature of identity. Two things are either two or (actually) one, or related mereologically.
25. Social Practice / E. Policies / 5. Education / c. Teaching
Only a great person can understand the essence of things, and an even greater person can teach it [Plato]
     Full Idea: Only a man of very great natural gifts will be able to understand that everything has a class and absolute essence, and an even more wonderful man can teach this.
     From: Plato (Parmenides [c.364 BCE], 135a)
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
The unlimited has no shape and is endless [Plato]
     Full Idea: The unlimited partakes neither of the round nor of the straight, because it has no ends nor edges.
     From: Plato (Parmenides [c.364 BCE], 137e)
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
Some things do not partake of the One [Plato]
     Full Idea: The others cannot partake of the one in any way; they can neither partake of it nor of the whole.
     From: Plato (Parmenides [c.364 BCE], 159d)
     A reaction: Compare Idea 231
The only movement possible for the One is in space or in alteration [Plato]
     Full Idea: If the One moves it either moves spatially or it is altered, since these are the only motions.
     From: Plato (Parmenides [c.364 BCE], 138b)
Everything partakes of the One in some way [Plato]
     Full Idea: The others are not altogether deprived of the one, for they partake of it in some way.
     From: Plato (Parmenides [c.364 BCE], 157c)
     A reaction: Compare Idea 233.
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
We couldn't discuss the non-existence of the One without knowledge of it [Plato]
     Full Idea: There must be knowledge of the one, or else not even the meaning of the words 'if the one does not exist' would be known.
     From: Plato (Parmenides [c.364 BCE], 160d)