10 ideas
| 9184 | We can't presume that all interesting concepts can be analysed [Williamson] |
| Full Idea: We have no prior reason to suppose that philosophically significant concepts have interesting analyses into necessary and sufficient conditions. | |
| From: Timothy Williamson (Review of Bob Hale's 'Abstract Objects' [1988]) | |
| A reaction: We might think that they are either analysable or primitive, and that failure of analysis invites us to take a concept as primitive. But maybe God can analyse it and we can't. |
| 19086 | Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth] |
| Full Idea: Peirce and Sellars takes Peirce's conception of meaning, on which pragmatism is founded, to support an adequate account of objective truth; James, Dewey and Rorty say it forecloses all possibility of such an account. | |
| From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.169) | |
| A reaction: Ah. Very helpful. I thought there was a pragmatic theory of truth, then began to think that it was just a denial of truth. I've long suspected that Peirce is wonderful, and James is not very good (on this topic). |
| 11211 | 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. |
| 11210 | 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. |
| 11212 | 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. |
| 19093 | Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth] |
| Full Idea: Ancient mathematical concepts were essentially sensory; they were not mathematical in our sense - that is, wholly constituted by their inferential potential. | |
| From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.187) | |
| A reaction: The latter view is Frege's, though I suppose it had been emerging for a couple of centuries before him. I like the Greek approach, and would love to see that reunited with the supposedly quite different modern view. (Keith Hossack is attempting it). |
| 9183 | Platonism claims that some true assertions have singular terms denoting abstractions, so abstractions exist [Williamson] |
| Full Idea: The Fregean argument for platonism is that some true assertions contain singular terms which denote abstract objects if they denote anything; since the assertions are true, the singular terms denote. | |
| From: Timothy Williamson (Review of Bob Hale's 'Abstract Objects' [1988]) | |
| A reaction: I am perplexed that anyone would rest their view of reality on such an argument. The obvious comparison would be with true remarks about blatantly fictional characters, or blatantly invented concepts such as 'checkmate'. |
| 19091 | Seeing reality mathematically makes it an object of thought, not of experience [Macbeth] |
| Full Idea: As mathematically understood, the world is not an object of experience but instead an object of thought. | |
| From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.183) | |
| A reaction: Since I am keen on citing biology to show that science does not have to be mathematical, this nicely shows that there is something wrong with a science which places a large gap between itself and the world. |
| 19088 | For pragmatists a concept means its consequences [Macbeth] |
| Full Idea: In the pragmatist view, the meaning of a concept is exhausted by its consequences. | |
| From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.173) | |
| A reaction: I'm unclear why the concept of a volcanic eruption only concerns its dire consequences, and is supposed to contain nothing of its causes. Pragmatists seem to be all future, and no past. Very American. |
| 11214 | 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). |