Xref: utzoo talk.religion.misc:7892 comp.ai:2318 Path: utzoo!attcan!uunet!seismo!sundc!pitstop!sun!amdcad!ames!lll-tis!helios.ee.lbl.gov!nosc!humu!uhccux!lee From: lee@uhccux.uhcc.hawaii.edu (Greg Lee) Newsgroups: talk.religion.misc,comp.ai Subject: Re: The Ignorant assumption Message-ID: <2445@uhccux.uhcc.hawaii.edu> Date: 30 Sep 88 14:00:44 GMT References: <13791@mimsy.UUCP> Organization: University of Hawaii Lines: 23 From article <13791@mimsy.UUCP>, by nau@mimsy.UUCP (Dana S. Nau): " In article <7202@aw.sei.cmu.edu> firth@bd.sei.cmu.edu (Robert Firth) writes: " ... " < of as a mapping " < " < {0,1} => 0|1 " ... " As far as I can see, what you have defined is not a function. A function is There are a couple (>=2) of things I don't understand about this discussion: Why does it matter whether Turing machines compute functions? If one wants to compute non-functional relations, why not just define the machines accordingly? If there's a terminological problem, then call the machines something else. What does it matter to Church's thesis whether what is computed is a function? Sometimes the thesis is phrased using the word function, but is that essential to the thesis? And anyhow, why can't `0|1' be considered a single value? Greg, lee@uhccux.uhcc.hawaii.edu