Re: Is {{}} a valid construct?
From: Neo <neo55592_at_hotmail.com>
Date: 6 Feb 2007 16:39:45 -0800
Message-ID: <1170808785.234118.53260_at_s48g2000cws.googlegroups.com>
Date: 6 Feb 2007 16:39:45 -0800
Message-ID: <1170808785.234118.53260_at_s48g2000cws.googlegroups.com>
No, you will have to refocus your mind. Every set consists of elements which are infact sets. It is recursive. If you are telling me set theory does not include this recursion, set theory is incomplete.
The following two examples are equivalent because:
apple = {red, stem, etc}
orange = {navel, pulp, etc}
U = {{}, apple, orange} NOT apple => {{}, orange} NOT orange => {{}, apple} NOT {} => {apple, orange} -or- {{}, apple, orange} U = {{}, {red, stem}, {navel, pulp}} NOT {red, stem} => {{}, {navel, pulp}} NOT {navel, pulp} => {{}, {red, stem}} NOT {} => {{red, stem}, {navel, pulp}} -or- {{}, {red, stem}, {navel, pulp}}Received on Wed Feb 07 2007 - 01:39:45 CET