Path: utzoo!mnetor!uunet!lll-winken!lll-lcc!ames!pasteur!agate!ig!uwmcsd1!csd4.milw.wisc.edu!markh From: markh@csd4.milw.wisc.edu (Mark William Hopkins) Newsgroups: sci.philosophy.tech Subject: Re: Classifying the Axiom of Choice Message-ID: <4900@uwmcsd1.UUCP> Date: 25 Feb 88 23:56:55 GMT References: <8802251655.AA06216@duchamps.ads.arpa> Sender: daemon@uwmcsd1.UUCP Reply-To: markh@csd4.milw.wisc.edu (Mark William Hopkins) Organization: University of Wisconsin-Milwaukee Lines: 14 Summary: Classifying empty sets. In article <8802251655.AA06216@duchamps.ads.arpa> rar@DUCHAMPS (Bob Riemenschneider) writes: >=> The a priori statements form merely a recursively enumerable set, ... >=> >=> --Herb Enderton, hbe@math.ucla.edu > >I don't see why this must be the case. Mightn't (some) people come >equipped with knowledge of a more complicated set of truths, or with >knowledge of a non-effective rule of inference? Yes, me. ~~~~~~~~~~~~~~~~~~ What difference does it make what we call the axiom of choice? All sets are finite anyway.