Path: utzoo!utgpu!news-server.csri.toronto.edu!rpi!zaphod.mps.ohio-state.edu!sdd.hp.com!spool.mu.edu!munnari.oz.au!comp.vuw.ac.nz!am.dsir.govt.nz!marcamd!mercury!fivegl!carl From: carl@fivegl.co.nz (Carl Reynolds) Newsgroups: comp.ai.philosophy Subject: Disaster! I lie through my teeth... (was Re: continuous vs discrete) Message-ID: <1991Apr14.215907.15884@fivegl.co.nz> Date: 14 Apr 91 21:59:07 GMT Article-I.D.: fivegl.1991Apr14.215907.15884 Reply-To: carl@fivegl.co.nz (Carl Reynolds) Organization: 5GL International Ltd, Auckland, New Zealand Lines: 18 In an earlier article I wrote >And, of course, any decreasing (as happens in our world) sequence of X(n) ^^^ >will eventually converge to a value. >This is the theory of limits, where an infinite sequence converges to a finite >sum. ... Don't believe this because it isn't true. SOME decreasing sequences converge to finite sums. Others don't, as someone kindly reminded me through e-mail. It depends on the rate of decrease - I'm sure you all know this. I must have been drunk. Apologies for being such a . Carl Reynolds 5GL International Ltd, Auckland, New Zealand carl@fivegl.co.nz