Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!mnetor!uunet!seismo!mimsy!oddjob!gargoyle!ihnp4!inuxc!iuvax!bsu-cs!dhesi From: dhesi@bsu-cs.UUCP (Rahul Dhesi) Newsgroups: sci.math,sci.math.symbolic,sci.philosophy.tech Subject: Re: Russell's set of sets which... paradox Message-ID: <918@bsu-cs.UUCP> Date: Mon, 3-Aug-87 18:28:00 EDT Article-I.D.: bsu-cs.918 Posted: Mon Aug 3 18:28:00 1987 Date-Received: Tue, 4-Aug-87 06:42:13 EDT References: <1404@cullvax.UUCP> <902@bsu-cs.UUCP> <4901@j.cc.purdue.edu> Reply-To: dhesi@bsu-cs.UUCP (Rahul Dhesi) Organization: CS Dept, Ball St U, Muncie, Indiana Lines: 20 Xref: mnetor sci.math:1736 sci.math.symbolic:116 sci.philosophy.tech:344 In article <4901@j.cc.purdue.edu> ags@j.cc.purdue.edu.UUCP (Dave Seaman) writes: [continuing a discussion of a paradox:] >The stone paradox can be formulated as follows: Assume x is an omnipotent >being. Let P(x) be the statement, "x can make a stone so big that x can't >lift it." Is P(x) true, or is it false? A little thought shows that it is >neither. > >What do we conclude from the contradiction? There must be something wrong >with the original assumption that there exists an omnipotent being. >Therefore no such being can exist. Let me throw this at you: Omnipotent Being n. A being with the power to invalidate any or all possible sets of axioms. Now try again. -- Rahul Dhesi UUCP: {ihnp4,seismo}!{iuvax,pur-ee}!bsu-cs!dhesi