Combining Texts

All the ideas for 'Parmenides', 'Timaeus' and 'New Foundations for Mathematical Logic'

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63 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
For relaxation one can consider the world of change, instead of eternal things [Plato]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Philosophy is the supreme gift of the gods to mortals [Plato]
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]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
Nothing can come to be without a cause [Plato]
2. Reason / B. Laws of Thought / 5. Opposites
Opposites are as unlike as possible [Plato]
2. Reason / C. Styles of Reason / 1. Dialectic
Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic [Hegel on Plato]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett]
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]
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
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]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
Before the existence of the world there must have been being, space and becoming [Plato]
The apprehensions of reason remain unchanging, but reasonless sensation shows mere becoming [Plato]
The one was and is and will be and was becoming and is becoming and will become [Plato]
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]
7. Existence / D. Theories of Reality / 3. Reality
Absolute ideas, such as the Good and the Beautiful, cannot be known by us [Plato]
8. Modes of Existence / D. Universals / 2. Need for Universals
If you deny that each thing always stays the same, you destroy the possibility of discussion [Plato]
You must always mean the same thing when you utter the same name [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Greatness and smallness must exist, to be opposed to one another, and come into being in things [Plato]
It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt [Plato]
The concept of a master includes the concept of a slave [Plato]
If admirable things have Forms, maybe everything else does as well [Plato]
If absolute ideas existed in us, they would cease to be absolute [Plato]
Plato moves from Forms to a theory of genera and principles in his later work [Plato, by Frede,M]
Plato's Forms were seen as part of physics, rather than of metaphysics [Plato, by Annas]
Something will always be well-made if the maker keeps in mind the eternal underlying pattern [Plato]
In addition to the underlying unchanging model and a changing copy of it, there must also be a foundation of all change [Plato]
For knowledge and true opinion to be different there must be Forms; otherwise we are just stuck with sensations [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
The universe is basically an intelligible and unchanging model, and a visible and changing copy of it [Plato]
The whole idea of each Form must be found in each thing which participates in it [Plato]
If things are made alike by participating in something, that thing will be the absolute idea [Plato]
Each idea is in all its participants at once, just as daytime is a unity but in many separate places at once [Plato]
If things partake of ideas, this implies either that everything thinks, or that everything actually is thought [Plato]
Participation is not by means of similarity, so we are looking for some other method of participation [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
If absolute greatness and great things are seen as the same, another thing appears which makes them seem great [Plato]
Nothing can be like an absolute idea, because a third idea intervenes to make them alike (leading to a regress) [Plato]
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]
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]
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]
Anything which has parts must be one thing, and parts are of a one, not of a many [Plato]
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]
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]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Only bird-brained people think astronomy is entirely a matter of evidence [Plato]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
Plato says the soul is ordered by number [Plato, by Plutarch]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
No one wants to be bad, but bad men result from physical and educational failures, which they do not want or choose [Plato]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music has harmony like the soul, and serves to reorder disharmony within us [Plato]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
One should exercise both the mind and the body, to avoid imbalance [Plato]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Everything that takes place naturally is pleasant [Plato]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Intelligence is the result of rational teaching; true opinion can result from irrational persuasion [Plato]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Bad governments prevent discussion, and discourage the study of virtue [Plato]
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]
26. Natural Theory / A. Speculations on Nature / 1. Nature
The creator of the cosmos had no envy, and so wanted things to be as like himself as possible [Plato]
The cosmos must be unique, because it resembles the creator, who is unique [Plato]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
The unlimited has no shape and is endless [Plato]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
Everything partakes of the One in some way [Plato]
The only movement possible for the One is in space or in alteration [Plato]
Some things do not partake of the One [Plato]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
We must consider the four basic shapes as too small to see, only becoming visible in large numbers [Plato]
26. Natural Theory / C. Causation / 1. Causation
There are two types of cause, the necessary and the divine [Plato]
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
Heavenly movements gave us the idea of time, and caused us to inquire about the heavens [Plato]
27. Natural Reality / D. Time / 3. Parts of Time / a. Beginning of time
Time came into existence with the heavens, so that there will be a time when they can be dissolved [Plato]
27. Natural Reality / E. Cosmology / 1. Cosmology
Clearly the world is good, so its maker must have been concerned with the eternal, not with change [Plato]
27. Natural Reality / E. Cosmology / 3. The Beginning
If the cosmos is an object of perception then it must be continually changing [Plato]
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]