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Topic: Hex Win Proof?
Replies: 41   Last Post: Mar 24, 2004 6:39 PM

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 Robin Chapman Posts: 3,289 Registered: 12/6/04
Re: Hex Win Proof?
Posted: Mar 23, 2004 4:34 AM

Torben ÃÂ¯ÃÂ¿ÃÂ½idius Mogensen wrote:

>
> Indeed, if we want to prove it to a mathematician who does not already
> accept the intermediate value theorem (of which the intersection
> property is a simple consequence).

Is it?

Now I presume this "intersection property" can be paraphrased as
"a path with endpoints at two opposite vertices of a square with
all other points in the interior of the square must meet a path
with endpoints at the other two vertices of the square with
all other points in the interior of there square".

That's a simple consequence of the intermediate value theorem, is it?

I must be stupid, since the only way I can see to prove that is
using the Jordan Curve Theorem. :-(

--
Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html
"Lacan, Jacques, 79, 91-92; mistakes his penis for a square root, 88-9"
Francis Wheen, _How Mumbo-Jumbo Conquered the World_

Date Subject Author
3/18/04 Bill Taylor
3/18/04 Tim Brauch
3/19/04 Brian Chandler
3/19/04 Jonathan Welton
3/19/04 Tim Brauch
3/19/04 Richard Henry
3/20/04 Chan-Ho Suh
3/21/04 Arthur J. O'Dwyer
3/19/04 Bob Harris
3/19/04 Tim Smith
3/19/04 Dvd Avins
3/20/04 Nate Smith
3/20/04 Chan-Ho Suh
3/20/04 G. A. Edgar
3/19/04 Richard Henry
3/19/04 Steven Meyers
3/20/04 Nate Smith
3/20/04 Larry Hammick
3/20/04 Tim Smith
3/21/04 Steven Meyers
3/22/04 Torben Mogensen
3/22/04 Chan-Ho Suh
3/22/04 Torben Mogensen
3/22/04 Chan-Ho Suh
3/23/04 Torben Mogensen
3/23/04 Robin Chapman
3/23/04 Chan-Ho Suh
3/24/04 Robin Chapman
3/24/04 Tim Smith
3/24/04 Robin Chapman
3/24/04 Tim Smith
3/24/04 Jon Haugsand
3/22/04 Andrzej Kolowski
3/23/04 Alexander Malkis
3/23/04 Chan-Ho Suh
3/23/04 Dr. Eric Wingler
3/24/04 Danny Purvis
3/24/04 Danny Purvis