display all the ideas for this combination of texts
3 ideas
| 8482 | Mathematicians must be rational but not two-legged, cyclists the opposite. So a mathematical cyclist? [Quine] |
| Full Idea: Mathematicians are necessarily rational, and not necessarily two-legged; cyclists are the opposite. But what of an individual who counts among his eccentricities both mathematics and cycling? | |
| From: Willard Quine (Word and Object [1960], §41) | |
| A reaction: Quine's view is that the necessity (and essence) depends on how this eccentric is described. If he loses a leg, he must give up cycling; if he loses his rationality, he must give up the mathematics. Quine is wrong. |
| 12136 | Cyclist are not actually essentially two-legged [Brody on Quine] |
| Full Idea: Cyclists are not essentially two-legged (a one-legged cyclist exists, but can't cycle any more), and mathematicians are not essentially rational (as they can lose rationality and continue to exist, though unable to do mathematics). | |
| From: comment on Willard Quine (Word and Object [1960], §41.5) by Baruch Brody - Identity and Essence 5.1 | |
| A reaction: Was Quine thinking of the nominal essence of this person - that 'cyclists' necessarily cylce, and 'mathematicians' necessarily do some maths? It is as bad to confuse 'necessary' with 'essential' as to confuse 'use' with 'mention'. |
| 18890 | Putnam smuggles essentialism about liquids into his proof that water must be H2O [Salmon,N on Putnam] |
| Full Idea: In the full exposition of Putnam's mechanism for generating the necessary truth that water is H2O, we find that the mechanism employs a certain nontrivial general principle of essentialism concerning liquid substances as a crucial premise. | |
| From: comment on Hilary Putnam (The Meaning of 'Meaning' [1975]) by Nathan Salmon - Reference and Essence (1st edn) 6.23.1 | |
| A reaction: This charge, that Kripke and Putnam smuggle the essentialism into their semantics, rather than deriving it, is the nub of Salmon's criticism of them. It seems to me that a new world view emerged while those two where revising the semantics. |