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26 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
     Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation.
     From: Ian Rumfitt ("Yes" and "No" [2000], II)
     A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
     Full Idea: If 'and' and 'but' really are alike in sense, in what might that likeness consist? Some philosophers of classical logic will reply that they share a sense by virtue of sharing a truth table.
     From: Ian Rumfitt ("Yes" and "No" [2000])
     A reaction: This is the standard view which Rumfitt sets out to challenge.
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
     Full Idea: A connective will possess the sense that it has by virtue of its competent users' finding certain rules of inference involving it to be primitively obvious.
     From: Ian Rumfitt ("Yes" and "No" [2000], III)
     A reaction: Rumfitt cites Peacocke as endorsing this view, which characterises the logical connectives by their rules of usage rather than by their pure semantic value.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
No perceptible object is truly straight or curved [Protagoras]
     Full Idea: No perceptible object is geometrically straight or curved; after all, a circle does not touch a ruler at a point, as Protagoras used to say, in arguing against the geometers.
     From: Protagoras (fragments/reports [c.441 BCE], B07), quoted by Aristotle - Metaphysics 998a1
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Everything that exists consists in being perceived [Protagoras]
     Full Idea: Everything that exists consists in being perceived.
     From: Protagoras (fragments/reports [c.441 BCE]), quoted by Didymus the Blind - Commentary on the Psalms (frags)
     A reaction: A striking anticipation of Berkeley's "esse est percipi" (to be is to be perceived).
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Protagoras was the first to claim that there are two contradictory arguments about everything [Protagoras, by Diog. Laertius]
     Full Idea: Protagoras was the first to claim that there are two contradictory arguments about everything.
     From: report of Protagoras (fragments/reports [c.441 BCE], A01) by Diogenes Laertius - Lives of Eminent Philosophers 09.51
13. Knowledge Criteria / E. Relativism / 1. Relativism
Man is the measure of all things - of things that are, and of things that are not [Protagoras]
     Full Idea: He began one of his books as follows: 'Man is the measure of all things - of the things that are, that they are, and of the things that are not, that they are not'.
     From: Protagoras (fragments/reports [c.441 BCE], B01), quoted by Diogenes Laertius - Lives of Eminent Philosophers 09.51
There is no more purely metaphysical doctrine than Protagorean relativism [Benardete,JA on Protagoras]
     Full Idea: No purer metaphysical doctrine can possibly be found than the Protagorean thesis that to be (anything at all) is to be relative ( to something or other).
     From: comment on Protagoras (fragments/reports [c.441 BCE]) by José A. Benardete - Metaphysics: the logical approach Ch.3
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
You can only state the problem of the relative warmth of an object by agreeing on the underlying object [Benardete,JA on Protagoras]
     Full Idea: Only if the thing that is cold to me is precisely identical with the thing that is not cold to you can Protagoras launch his argument, but then it is seen to be the thing in itself that exists absolutely speaking.
     From: comment on Protagoras (fragments/reports [c.441 BCE]) by José A. Benardete - Metaphysics: the logical approach Ch.8
If my hot wind is your cold wind, then wind is neither hot nor cold, and so not as cold as itself [Benardete,JA on Protagoras]
     Full Idea: Because the wind is cold to me but not you, Protagoras takes it to in itself neither cold nor not-cold. Accordingly, I very much doubt that he can allow the wind to be exactly as cold as itself.
     From: comment on Protagoras (fragments/reports [c.441 BCE]) by José A. Benardete - Metaphysics: the logical approach Ch.8
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
God is "the measure of all things", more than any man [Plato on Protagoras]
     Full Idea: In our view it is God who is pre-eminently the "measure of all things", much more so than any "man", as they say.
     From: comment on Protagoras (fragments/reports [c.441 BCE]) by Plato - The Laws 716c
Protagoras absurdly thought that the knowing or perceiving man is 'the measure of all things' [Aristotle on Protagoras]
     Full Idea: When Protagoras quipped that man is the measure of all things, he had in mind, of course, the knowing or perceiving man. The grounds are that they have perception/knowledge, and these are said to be the measures of objects. Utter nonsense!
     From: comment on Protagoras (fragments/reports [c.441 BCE]) by Aristotle - Metaphysics 1053b
Relativists think if you poke your eye and see double, there must be two things [Aristotle on Protagoras]
     Full Idea: In fact there is no difference between Protagoreanism and saying this: if you stick your finger under your eyes and make single things seem two, then they are two, just because they seem to be two.
     From: comment on Protagoras (fragments/reports [c.441 BCE]) by Aristotle - Metaphysics 1063a06
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
     Full Idea: The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A.
     From: Ian Rumfitt ("Yes" and "No" [2000], IV)
     A reaction: [compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role).
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Early sophists thought convention improved nature; later they said nature was diminished by it [Protagoras, by Miller,FD]
     Full Idea: Protagoras and Hippias evidently believed that convention was an improvement on nature, whereas later sophists such as Antiphon, Thrasymachus and Callicles seemed to contend that conventional morality was undermined because it was 'against nature'.
     From: report of Protagoras (fragments/reports [c.441 BCE]) by Fred D. Miller jr - Classical Political Thought
     A reaction: This gets to the heart of a much more interesting aspect of the nomos-physis (convention-nature) debate, rather than just a slanging match between relativists and the rest. The debate still goes on, over issues about the free market and intervention.
23. Ethics / B. Contract Ethics / 1. Contractarianism
For Protagoras the only bad behaviour is that which interferes with social harmony [Protagoras, by Roochnik]
     Full Idea: For Protagoras the only constraint on human behaviour is that it not interfere with social harmony, the essential condition for human survival.
     From: report of Protagoras (fragments/reports [c.441 BCE]) by David Roochnik - The Tragedy of Reason p.63
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Protagoras contradicts himself by saying virtue is teachable, but then that it is not knowledge [Plato on Protagoras]
     Full Idea: Protagoras claimed that virtue was teachable, but now tries to show it is not knowledge, which makes it less likely to be teachable.
     From: comment on Protagoras (fragments/reports [c.441 BCE]) by Plato - Protagoras 361b
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
The right-wing conception of freedom is based on the idea of self-ownership [Cohen,GA]
     Full Idea: The right-wing conception of freedom is, I think, founded on the idea that each person is the morally rightful owner of himself, even if existing legal systems do not acknowledge it. Let us call that the 'self-ownership' thesis.
     From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 1)
     A reaction: He cites Nozick as articulating this view. At the end Cohen rejects self-ownership, though he agrees that no one would accept that the state could be the owner of your eyes. Do I own my hair after it is cut?
Plenty of people have self-ownership, but still lack autonomy [Cohen,GA]
     Full Idea: Universal self-ownership fails to ensure autonomy, since it tends to produce proletarians, who lack it.
     From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 3)
     A reaction: The implication is that autonomy is not a property of individuals but a social phenomenon. Self-owning people can still be imprisoned. What about autonomy without self-ownership? A bright slave who is given extensive responsibility?
25. Social Practice / C. Rights / 4. Property rights
It is doubtful whether any private property was originally acquired legitimately [Cohen,GA]
     Full Idea: It is easy to doubt that much actually existing private property was formed in what anyone could think was a legitimating way.
     From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 2)
     A reaction: What if I created an artificial island out of unwanted raw materials? What about the first humans to reach some remote territory?
It is plausible that no one has an initial right to own land and natural resources [Cohen,GA]
     Full Idea: One may plausibly say of external things in their initial state, of raw land and natural resources, that no person has a greater right to them than any other does.
     From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 1)
     A reaction: How about if your group has lived on that plot for fifty generations, and some interlopers arrive and claim part of it. No one thought of 'owning' it till the interlopers arrived. Native Americans and Australians.
Every thing which is now private started out as unowned [Cohen,GA]
     Full Idea: In the prehistory of anything that is now private property there was at least one moment at which something privately unowned was taken into private ownership.
     From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 2)
     A reaction: He is obviously talking about land and natural resources. Presumably a table which I made and own was always private property, although the land where the trees were grown was not. Though in some communities what I make could be automatically communal.
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Protagoras seems to have made the huge move of separating punishment from revenge [Protagoras, by Vlastos]
     Full Idea: The distinction of punishment from revenge must be regarded as one of the most momentous of the conceptual discoveries ever made by humanity in the course of its slow, tortuous, precarious, emergence from barbaric tribalism. Protagoras originated it.
     From: report of Protagoras (fragments/reports [c.441 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.187
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Successful education must go deep into the soul [Protagoras]
     Full Idea: Education does not take root in the soul unless one goes deep.
     From: Protagoras (fragments/reports [c.441 BCE], B11), quoted by Plutarch - On Practice 178.25
25. Social Practice / E. Policies / 5. Education / b. Education principles
He spent public money on education, as it benefits the individual and the state [Protagoras, by Diodorus of Sicily]
     Full Idea: He used legislation to improve the condition of illiterate people, on the grounds that they lack one of life's great goods, and thought literacy should be a matter of public concern and expense.
     From: report of Protagoras (fragments/reports [c.441 BCE]) by Diodorus of Sicily - Universal History 12.13.3.3
28. God / C. Attitudes to God / 5. Atheism
He said he didn't know whether there are gods - but this is the same as atheism [Diogenes of Oen. on Protagoras]
     Full Idea: He said that he did not know whether there were gods - but this is the same as saying that he knew there were no gods.
     From: comment on Protagoras (fragments/reports [c.441 BCE], A23) by Diogenes (Oen) - Wall inscription 11 Chil 2