Path: utzoo!utgpu!water!watmath!clyde!att!pacbell!lll-tis!helios.ee.lbl.gov!pasteur!ucbvax!bloom-beacon!LOYVAX.BITNET!PGOETZ From: PGOETZ@LOYVAX.BITNET Newsgroups: comp.ai.digest Subject: Goedel's Theorem Message-ID: <19880724055741.6.NICK@HOWARD-JOHNSONS.LCS.MIT.EDU> Date: 24 Jul 88 05:57:00 GMT Sender: daemon@bloom-beacon.MIT.EDU Organization: The Internet Lines: 14 Approved: ailist@ai.ai.mit.edu Date: Wed, 20 Jul 88 12:02 EDT From: PGOETZ%LOYVAX.BITNET@mitvma.mit.edu Subject: Goedel's Theorem To: ailist@ai.ai.mit.edu X-Original-To: ailist@ai.ai.mit.edu, PGOETZ Shame on you, professor! Goedel's Theorem showed that you WILL have an unbounded number of axioms following the method you propose. That is why most mathematicians consider it an important theorem - it states you can never have an axiomatic system "as complex as" arithmetic without having true statements which are unprovable. Phil Goetz PGOETZ@LOYVAX.bitnet