4 ideas
| 10247 | We have no adequate logic at the moment, so mathematicians must create one [Veblen] |
| Full Idea: Formal logic has to be taken over by mathematicians. The fact is that there does not exist an adequate logic at the present time, and unless the mathematicians create one, no one else is likely to do so. | |
| From: Oswald Veblen (Presidential Address of Am. Math. Soc [1924], 141), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: This remark was made well after Frege, but before the advent of Gödel and Tarski. That implies that he was really thinking of meta-logic. |
| 8406 | Not all explanations are causal, but if a thing can be explained at all, it can be explained causally [Sanford] |
| Full Idea: Although not all explanations are causal, anything which can be explained in any way can be explained causally. | |
| From: David H. Sanford (Causation [1995], p.79) | |
| A reaction: A nice bold claim with which I am in sympathy, but he would have a struggle proving it. Does this imply that causal explanations are basic, or in some way superior? Note that functional explanations would thus have underlying causal explanations. |
| 20436 | Art leads to mental health, and mental clarity [Beardsley,M, by Carroll,N] |
| Full Idea: Beardsley says aesthetic experience relieves tensions and quiet destructive emotions. It also aids us in sorting out the jumble in the flow of consciousness, by virtue of its tendencies toward heightened clarity and coherence. | |
| From: report of Monroe Beardsley (Aesthetics: problems in the philosophy of criticism [1958]) by Noël Carroll - Monroe Beardsley p.162-3 | |
| A reaction: I find this claim highly implausible. I like art, but I feel neither healthier nor clearer after experiencing it. |
| 8407 | A totality of conditions necessary for an occurrence is usually held to be jointly sufficient for it [Sanford] |
| Full Idea: A totality of conditions necessary for an occurrence is jointly sufficient for it. This is a widely held but controversial view, and it is not a logical truth. | |
| From: David H. Sanford (Causation [1995], p.82) | |
| A reaction: This wouldn't work for an impossible occurrence. What are the necessary conditions to produce a large planet made of uranium? One of them would have to be a naturally impossible necessity. |