Path: utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!sdd.hp.com!think.com!mintaka!bloom-beacon!dont-send-mail-to-path-lines From: stu@sct60a.sunyct.EDU (Stu Card) Newsgroups: comp.theory.cell-automata Subject: meta-life Message-ID: <20295.on.Thu,.9.May.91.10:02:12.EDT.@sct60a.sunyct.edu> Date: 9 May 91 14:02:12 GMT Sender: daemon@athena.mit.edu (Mr Background) Distribution: inet Organization: The Internet Lines: 15 The responses to I.J. Palmer's question raise the following possibility: is it possible to define a problem, the solution to which requires an INFINITE regress up these meta-life simulation levels? I suspect so. If Life is 'universal', I think that means it is also 'complete' in the sense of Goedel's Theorem, and therefore inconsistent; otherwise it must be 'incomplete' (although perhaps 'nearly complete'?!) to keep it consistent. I am not mathematically heavy enough to know if I am making sense. Anyone out there with a good understanding of Goedel's Theorem who would be willing to enlighten me on how it applies to the universality of a computing scheme in general, and Life in particular? stu@sct60a.sunyct.edu Stu Card