Combining Texts

All the ideas for 'Protagoras', 'Specimen inventorum' and 'On the Concept of Number'

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15 ideas

2. Reason / B. Laws of Thought / 4. Contraries
Only one thing can be contrary to something [Plato]
     Full Idea: To everything that admits of a contrary there is one contrary and no more.
     From: Plato (Protagoras [c.380 BCE], 332c)
     A reaction: The sort of thing for which a modern philosopher would demand a proof (and then reject when the proof couldn't be found), where a Greek is happy to assert it as self-evident. I can't think of a counterexample.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
     Full Idea: Hilbert proposed to circuvent the paradoxes by means of the doctrine (already proposed by Poincaré) that in mathematics consistency entails existence.
     From: report of David Hilbert (On the Concept of Number [1900], p.183) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 19 'Exist'
     A reaction: Interesting. Hilbert's idea has struck me as weird, but it makes sense if its main motive is to block the paradoxes. Roughly, the idea is 'it exists if it isn't paradoxical'. A low bar for existence (but then it is only in mathematics!).
8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
If asked whether justice itself is just or unjust, you would have to say that it is just [Plato]
     Full Idea: If someone asked me 'Is justice itself just or unjust?' I should answer that it was just, wouldn't you? I agree.
     From: Plato (Protagoras [c.380 BCE], 330c)
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
The most important things in life are wisdom and knowledge [Plato]
     Full Idea: It would be shameful indeed to say that wisdom and knowledge are anything but the most powerful forces in human activity.
     From: Plato (Protagoras [c.380 BCE], 352d)
     A reaction: He lumps wisdom and knowledge together, and I think we can take 'knowledge' to mean something like understanding, because obviously mere atomistic propositional knowledge can be utterly trivial.
The only real evil is loss of knowledge [Plato]
     Full Idea: The only real kind of faring ill is the loss of knowledge.
     From: Plato (Protagoras [c.380 BCE], 345b)
     A reaction: This must crucially involve the intellectualist view (of Socrates) that virtuos behaviour results from knowledge, and moral wickedness is the result of ignorance. It is hard to see how forgetting a phone number is evil.
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
The cause of a change is not the real influence, but whatever gives a reason for the change [Leibniz]
     Full Idea: That thing from whose state a reason for the changes is most readily provided is adjudged to be the cause. ...Causes are not derived from a real influence, but from the providing of a reason.
     From: Gottfried Leibniz (Specimen inventorum [1689], A6.4.1620), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 5
     A reaction: Leibniz is not denying that there are real influences. He seems to be offering the thesis which I am pursuing, that the need for explanation is the crucial factor in shaping the structure of our metaphysics.
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
Everything resembles everything else up to a point [Plato]
     Full Idea: Everything resembles everything else up to a point.
     From: Plato (Protagoras [c.380 BCE], 331d)
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Courage is knowing what should or shouldn't be feared [Plato]
     Full Idea: Knowledge of what is and is not to be feared is courage.
     From: Plato (Protagoras [c.380 BCE], 360d)
22. Metaethics / B. Value / 2. Values / j. Evil
No one willingly and knowingly embraces evil [Plato]
     Full Idea: No one willingly goes to meet evil, or what he thinks is evil.
     From: Plato (Protagoras [c.380 BCE], 358d)
     A reaction: Presumably people who actively choose satanism can override this deep-seated attitude. But their adherence to evil usually seems to be rather restrained. A danger of tautology with ideas like this.
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
Some things are good even though they are not beneficial to men [Plato]
     Full Idea: 'Do you mean by good those things that are beneficial to men?' 'Not only those. I call some things which are not beneficial good as well'.
     From: Plato (Protagoras [c.380 BCE], 333e)
     A reaction: Examples needed, but this would be bad news for utilitarians. Good health is not seen as beneficial if it is taken for granted. Not being deaf.
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Some pleasures are not good, and some pains are not evil [Plato]
     Full Idea: There are some pleasures which are not good, and some pains which are not evil.
     From: Plato (Protagoras [c.380 BCE], 351d)
     A reaction: Sadism and child birth. Though Bentham (I think) says that there is nothing good about the pain, since the event would obviously be better without it.
People tend only to disapprove of pleasure if it leads to pain, or prevents future pleasure [Plato]
     Full Idea: The only reason the common man disapproves of pleasures is if they lead to pain and deprive us of future pleasures.
     From: Plato (Protagoras [c.380 BCE], 354a)
     A reaction: Plato has a strong sense that some pleasures are just innately depraved and wicked. If those pleasure don't hurt anyone, it is very hard to pinpoint what is wrong with them.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Socrates did not believe that virtue could be taught [Plato]
     Full Idea: Socrates: I do not believe that virtue can be taught.
     From: Plato (Protagoras [c.380 BCE], 320b)
Socrates is contradicting himself in claiming virtue can't be taught, but that it is knowledge [Plato]
     Full Idea: Socrates is contradicting himself by saying virtue is not teachable, and yet trying to demonstrate that every virtue is knowledge.
     From: Plato (Protagoras [c.380 BCE], 361b)
If we punish wrong-doers, it shows that we believe virtue can be taught [Plato]
     Full Idea: Athenians inflict punishment on wrong-doers, which shows that they too think it possible to impart and teach goodness.
     From: Plato (Protagoras [c.380 BCE], 324c)