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All the ideas for 'Mahaprajnaparamitashastra', 'Modal Logic within Counterfactual Logic' and 'Phaedrus'

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31 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Can we understand an individual soul without knowing the soul in general? [Plato]
     Full Idea: Do you think it possible to form an adequate conception of the nature of an individual soul without considering the nature of soul in general?
     From: Plato (Phaedrus [c.366 BCE], 270c)
     A reaction: Do animals understand anything (as opposed to simply being aware of things)?
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
The highest ability in man is the ability to discuss unity and plurality in the nature of things [Plato]
     Full Idea: When I believe that I have found in anyone the ability to discuss unity and plurality as they exist in the nature of things, I follow his footsteps as if he was a god.
     From: Plato (Phaedrus [c.366 BCE], 266b)
     A reaction: This sounds like the problem of identity, which is at the heart of modern metaphysics.
1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
A speaker should be able to divide a subject, right down to the limits of divisibility [Plato]
     Full Idea: A speaker must be able to define a subject generically, and then to divide it into its various specific kinds until he reaches the limits of divisibility.
     From: Plato (Phaedrus [c.366 BCE], 277b)
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
In S5 matters of possibility and necessity are non-contingent [Williamson]
     Full Idea: In system S5 matters of possibility and necessity are always non-contingent.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 3)
     A reaction: This will be because if something is possible in one world (because it can be seen to be true in some possible world) it will be possible for all worlds (since they can all see that world in S5).
7. Existence / D. Theories of Reality / 2. Realism
Reasoning needs to cut nature accurately at the joints [Plato]
     Full Idea: In our reasoning we need a clear view of the ability to divide a genus into species, observing the natural joints, not mangling any of the parts, like an unskilful butcher.
     From: Plato (Phaedrus [c.366 BCE], 265d)
     A reaction: In modern times this Platonic idea has become the standard metaphor for realism. I endorse it. I think nature has joints, and we should hunt for them. There are natural sets. The joints may exist in abstract concepts, as well as in objects.
7. Existence / E. Categories / 2. Categorisation
I revere anyone who can discern a single thing that encompasses many things [Plato]
     Full Idea: If I believe that someone is capable of discerning a single thing that is also by nature capable of encompassing many, I follow 'straight behind, in his footsteps, as if he were a god'.
     From: Plato (Phaedrus [c.366 BCE], 266b)
     A reaction: [Plato quote Odyssey 2.406] This is the sort of simple but profound general observation which only the early philosophers bothered to make, and no one comments on now. Encompassing many under one is the very essence of thinking.
8. Modes of Existence / D. Universals / 2. Need for Universals
It takes a person to understand, by using universals, and by using reason to create a unity out of sense-impressions [Plato]
     Full Idea: It takes a man to understand by the use of universals, and to collect out of the multiplicity of sense-impressions a unity arrived at by a process of reason.
     From: Plato (Phaedrus [c.366 BCE], 249b)
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
We would have an overpowering love of knowledge if we had a pure idea of it - as with the other Forms [Plato]
     Full Idea: What overpowering love knowledge would inspire if it could bring a clear image of itself before our sight, and the same may be said of the other forms.
     From: Plato (Phaedrus [c.366 BCE], 250d)
     A reaction: the motivation in Plato's theory
10. Modality / A. Necessity / 1. Types of Modality
Necessity is counterfactually implied by its negation; possibility does not counterfactually imply its negation [Williamson]
     Full Idea: Modal thinking is logically equivalent to a type of counterfactual thinking. ...The necessary is that which is counterfactually implied by its own negation; the possible is that which does not counterfactually imply its own negation.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
     A reaction: I really like this, because it builds modality on ordinary imaginative thinking. He says you just need to grasp counterfactuals, and also negation and absurdity, and you can then understand necessity and possibility. We can all do that.
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
Strict conditionals imply counterfactual conditionals: □(A⊃B)⊃(A□→B) [Williamson]
     Full Idea: The strict conditional implies the counterfactual conditional: □(A⊃B) ⊃ (A□→B) - suppose that A would not have held without B holding too; then if A had held, B would also have held.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
     A reaction: [He then adds a reading of his formula in terms of possible worlds] This sounds rather close to modus ponens. If A implies B, and A is actually the case, what have you got? B!
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactual conditionals transmit possibility: (A□→B)⊃(◊A⊃◊B) [Williamson]
     Full Idea: The counterfactual conditional transmits possibility: (A□→B) ⊃ (◊A⊃◊B). Suppose that if A had held, B would also have held; the if it is possible for A to hold, it is also possible for B to hold.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Rather than define counterfactuals using necessity, maybe necessity is a special case of counterfactuals [Williamson, by Hale/Hoffmann,A]
     Full Idea: Instead of regarding counterfactuals as conditionals restricted to a range of possible worlds, we can define the necessity operator by means of counterfactuals. Metaphysical necessity is a special case of ordinary counterfactual thinking.
     From: report of Timothy Williamson (Modal Logic within Counterfactual Logic [2010]) by Bob Hale/ Aviv Hoffmann - Introduction to 'Modality' 2
     A reaction: [compressed] I very much like Williamson's approach, of basing these things on the ordinary way that ordinary people think. To me it is a welcome inclusion of psychology into metaphysics, which has been out in the cold since Frege.
12. Knowledge Sources / C. Rationalism / 1. Rationalism
True knowledge is of the reality behind sense experience [Plato]
     Full Idea: True knowledge is concerned with the abode of true reality, without colour or shape, intangible but utterly real, apprehensible only to the intellect.
     From: Plato (Phaedrus [c.366 BCE], 247c)
14. Science / A. Basis of Science / 5. Anomalies
If the apparent facts strongly conflict with probability, it is in everyone's interests to suppress the facts [Plato]
     Full Idea: There are some occasions when both prosecution and defence should positively suppress the facts in favour of probability, if the facts are improbable.
     From: Plato (Phaedrus [c.366 BCE], 272e)
15. Nature of Minds / A. Nature of Mind / 2. Psuche
The soul is self-motion [Plato]
     Full Idea: Self-motion is of the very nature of the soul.
     From: Plato (Phaedrus [c.366 BCE], 245e)
     A reaction: This culminates a length discussion of the soul. He gives an implausible argument that the soul is immortal, because it could never cease its self-motion. Why are we so unimpressed by motion, when the Greeks were amazed by it?
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Imagination is important, in evaluating possibility and necessity, via counterfactuals [Williamson]
     Full Idea: Imagination can be made to look cognitively worthless. Once we recall its fallible but vital role in evaluating counterfactual conditionals, we should be more open to the idea that it plays such a role in evaluating claims of possibility and necessity.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 6)
     A reaction: I take this to be a really important idea, because it establishes the importance of imagination within the formal framework of modern analytic philosopher (rather than in the whimsy of poets and dreamers).
18. Thought / A. Modes of Thought / 3. Emotions / g. Controlling emotions
Plato saw emotions and appetites as wild horses, in need of taming [Plato, by Goldie]
     Full Idea: Plato had a conception of the emotions and our bodily appetites as being like wild horses, to be harnassed and controlled by reason.
     From: report of Plato (Phaedrus [c.366 BCE]) by Peter Goldie - The Emotions 4 'Education'
     A reaction: This seems to make Plato the patriarch of puritanism. See Symposium, as well as Phaedrus. But bringing up children can often seem like taming wild beasts.
19. Language / F. Communication / 1. Rhetoric
Only a good philosopher can be a good speaker [Plato]
     Full Idea: Unless a man becomes an adequate philosopher he will never be an adequate speaker on any subject.
     From: Plato (Phaedrus [c.366 BCE], 261a)
     A reaction: Depends. Hitler showed little sign of clear philosophical thinking, but the addition of lights and uniforms seemed to sweep reasonably intelligent people along with him.
'Phaedrus' pioneers the notion of philosophical rhetoric [Lawson-Tancred on Plato]
     Full Idea: The purpose of the 'Phaedrus' is to pioneer the notion of philosophical rhetoric.
     From: comment on Plato (Phaedrus [c.366 BCE], Ch.10) by Hugh Lawson-Tancred - Plato's Republic and Greek Enlightenment
     A reaction: This is a wonderfully challenging view of what Plato was up to. One might connect it with Rorty's claim that philosophy should move away from epistemology and analysis, towards hermeneutics, which sounds to me like rhetoric. 'Phaedrus' is beautiful.
An excellent speech seems to imply a knowledge of the truth in the mind of the speaker [Plato]
     Full Idea: If a speech is to be classed as excellent, does that not presuppose knowledge of the truth about the subject of the speech in the mind of the speaker.
     From: Plato (Phaedrus [c.366 BCE], 259e)
     A reaction: I like the thought that Plato's main interest was rhetoric, but with the view that the only good rhetoric is truth-speaking. It would be hard to admire a speech if you disagreed with it.
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Beauty is the clearest and most lovely of the Forms [Plato]
     Full Idea: Only beauty has the privilege of being the most clearly discerned and the most lovely of the forms.
     From: Plato (Phaedrus [c.366 BCE], 250e)
     A reaction: the motivation in Plato's theory
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The two ruling human principles are the natural desire for pleasure, and an acquired love of virtue [Plato]
     Full Idea: In each one of us there are two ruling and impelling principles: a desire for pleasure, which is innate, and an acquired conviction which causes us to aim at excellence.
     From: Plato (Phaedrus [c.366 BCE], 237d)
     A reaction: This division is too neat and simple. An obsession with pleasure I would take to be acquired. If you set out to do something, I think there is an innate desire to do it well.
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Most pleasure is release from pain, and is therefore not worthwhile [Plato]
     Full Idea: Life is not worth living for pleasures whose enjoyment entirely depends on previous sensation of pain, like almost all physical pleasures.
     From: Plato (Phaedrus [c.366 BCE], 258e)
     A reaction: Eating exotic food which is hard to obtain? (Pay someone to obtain it). Rock climbing. Training for sport.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Reason impels us towards excellence, which teaches us self-control [Plato]
     Full Idea: The conviction which impels us towards excellence is rational, and the power by which it masters us we call self-control.
     From: Plato (Phaedrus [c.366 BCE], 237e)
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
Bad people are never really friends with one another [Plato]
     Full Idea: It is not ordained that bad men should be friends with one another.
     From: Plato (Phaedrus [c.366 BCE], 255b)
27. Natural Reality / E. Cosmology / 3. The Beginning
If the prime origin is destroyed, it will not come into being again out of anything [Plato]
     Full Idea: If the prime origin is destroyed, it will not come into being again out of anything.
     From: Plato (Phaedrus [c.366 BCE], 245d)
     A reaction: This is the essence of Aquinas's Third Way of proving God's existence.
28. God / A. Divine Nature / 3. Divine Perfections
The mind of God is fully satisfied and happy with a vision of reality and truth [Plato]
     Full Idea: The mind of a god, sustained by pure intelligence and knowledge, is satisfied with the vision of reality, and nourished and made happy by the vision of truth.
     From: Plato (Phaedrus [c.366 BCE], 247d)
28. God / C. Attitudes to God / 4. God Reflects Humanity
We cannot conceive of God, so we have to think of Him as an immortal version of ourselves [Plato]
     Full Idea: Because we have never seen or formed an adequate idea of a god, we picture him to ourselves as a being of the same kind as ourselves but immortal.
     From: Plato (Phaedrus [c.366 BCE], 246d)
28. God / C. Attitudes to God / 5. Atheism
There isn't a single reason for positing the existence of immortal beings [Plato]
     Full Idea: There is not a single sound reason for positing the existence of such a being who is immortal
     From: Plato (Phaedrus [c.366 BCE], 246d)
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Soul is always in motion, so it must be self-moving and immortal [Plato]
     Full Idea: All soul is immortal, for what is always in motion is immortal. Only that which moves itself never ceases to be in motion.
     From: Plato (Phaedrus [c.366 BCE], 245c)