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Article #1383Re: Classifying the Axiom of Choice
From: Gregory Nowak
Date: Wed, 02 Mar 1988 23:22
Date: Wed, 02 Mar 1988 23:22
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In article <1186@sjuvax.UUCP> jserembu@sjuvax.UUCP (J. Serembus) writes: > Greg, > How would you classify the following the following proposition: > "Water is H2O."? It certainly seems to be one gotten from experience and thus >a posteriori; yet there also seems to be something necessary about it, hence >analytic. H2O is a chemical compound of three atoms; water is a substance I'm familiar with from everyday experience. If I introduce a spark into a combination of hydrogen and oxygen, a substance will be produced, but I have no way of knowing that it's "water" unless I check. Conversely, none of my experiences of water lead me to conclude that it HAS to be formed of molecules which have two hydrogen atoms and one oxygen atom each. I would consider this statement to be synthetic a posteriori. I suppose I question the assertion that necessary truths are necessarily analytic, and there are some people who have the same doubts about Kripke. (He's in Princeton; maybe I'll go ask him.) I would take as an example of a necessary analytic truth the fact that I am not a nonexistent colorless green dream; as an example of a necessary synthetic truth the fact that the speed of light is 298XXX (I forget the last three digits) meters per second. (We've defined the meter so this is true.)
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Path: arc1-ca.pugleaf.net!utzoo!mnetor!uunet!lll-winken!lll-tis!ames!hao!gatech!udel!princeton!phoenix!greg From: greg@phoenix.Princeton.EDU (Gregory Nowak) Newsgroups: sci.philosophy.tech Subject: Re: Classifying the Axiom of Choice Message-ID: <1924@phoenix.Princeton.EDU> Date: 2 Mar 88 23:22:37 GMT References: <7123@agate.BERKELEY.EDU> <8768@sunybcs.UUCP> <9734@shemp.CS.UCLA.EDU> <1937@mind.UUCP> <1938@mind.UUCP> <1186@sjuvax.UUCP> Reply-To: greg@phoenix.Princeton.EDU (Gregory Nowak) Organization: Princeton University, NJ Lines: 25