This is a multi-part message in MIME format. ------=_NextPart_000_0032_01C0AB50.BB09F820 Content-Type: text/plain; charset="US-ASCII" Content-Transfer-Encoding: 7bit With which you only illustrate that a theoretical proof is only better when a practical proof is impossible. A. -----Oorspronkelijk bericht----- Van: [log in to unmask] [mailto:[log in to unmask]]Namens [log in to unmask] Verzonden: maandag 12 maart 2001 23:39 Aan: [log in to unmask] Onderwerp: Re: OFF TOPIC - Map coloring In a message dated 3/12/01 2:47:08 PM Eastern Standard Time, [log in to unmask] writes: . Usually once the practical proof has been achieved, this is stronger proof than theoretical proof, because to be one-hundred percent certain of a theoretical proof you just have to be sure that the theory will correctly predict any given situation that lies within its domain, and the least doubtful way of doing so is to test it with every possible situation within its domain. It seems to me a mathematician would disagree with your definition of proof, and I'm inclined to agree with the mathematical assumption that the theoretical proof is stronger, which is precisely why we learned to do all those geometrical proofs in high school. With a geometrical proof in hand that certain relationships can be found in a right angle triangle, one no longer needs to check every right angle triangle in the universe to see if it works every time. pat ------=_NextPart_000_0032_01C0AB50.BB09F820 Content-Type: text/html; charset="US-ASCII" Content-Transfer-Encoding: quoted-printable <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <HTML><HEAD> <META content=3D"text/html; charset=3Dus-ascii" = http-equiv=3DContent-Type> <META content=3D"MSHTML 5.00.2920.0" name=3DGENERATOR></HEAD> <BODY> <DIV><FONT color=3D#0000ff face=3DArial size=3D2><SPAN = class=3D361415622-12032001>With=20 which you only illustrate that a theoretical proof is only better when a = practical proof is impossible.</SPAN></FONT></DIV> <DIV><FONT color=3D#0000ff face=3DArial size=3D2><SPAN=20 class=3D361415622-12032001></SPAN></FONT> </DIV> <DIV><FONT color=3D#0000ff face=3DArial size=3D2><SPAN=20 class=3D361415622-12032001>A.</SPAN></FONT></DIV> <BLOCKQUOTE=20 style=3D"BORDER-LEFT: #0000ff 2px solid; MARGIN-LEFT: 5px; PADDING-LEFT: = 5px"> <DIV align=3Dleft class=3DOutlookMessageHeader dir=3Dltr><FONT = face=3DTahoma=20 size=3D2>-----Oorspronkelijk bericht-----<BR><B>Van:</B>=20 [log in to unmask] = [mailto:[log in to unmask]]<B>Namens=20 </B>[log in to unmask]<BR><B>Verzonden:</B> maandag 12 maart 2001=20 23:39<BR><B>Aan:</B> [log in to unmask]<BR><B>Onderwerp:</B> Re: = OFF TOPIC=20 - Map coloring<BR><BR></DIV></FONT><FONT face=3Darial,helvetica><FONT=20 face=3D"Arial Narrow" lang=3D0 size=3D3 FAMILY=3D"SANSSERIF"><B>In a = message dated=20 3/12/01 2:47:08 PM Eastern Standard Time, <BR>[log in to unmask] = writes:=20 <BR><BR></FONT><FONT color=3D#000000 face=3DArial lang=3D0 size=3D2=20 FAMILY=3D"SANSSERIF"></B><BR></FONT><FONT color=3D#0000ff face=3DArial = lang=3D0 size=3D2=20 FAMILY=3D"SANSSERIF"> <BLOCKQUOTE=20 style=3D"BORDER-LEFT: #0000ff 2px solid; MARGIN-LEFT: 5px; = MARGIN-RIGHT: 0px; PADDING-LEFT: 5px"=20 TYPE=3D"CITE">. Usually once the practical proof has been achieved, = this is=20 stronger proof <BR>than theoretical proof, because to be one-hundred = percent=20 certain of a <BR>theoretical proof you just have to be sure that the = theory=20 will correctly <BR>predict any given situation that lies within its = domain,=20 and the least <BR>doubtful way of doing so is to test it with every = possible=20 situation within <BR>its domain. </FONT><FONT color=3D#000000 = face=3DArial=20 lang=3D0 size=3D2 = FAMILY=3D"SANSSERIF"><BR></BLOCKQUOTE><BR></FONT><FONT=20 color=3D#000000 face=3D"Arial Narrow" lang=3D0 size=3D3 = FAMILY=3D"SANSSERIF"><B><BR>It=20 seems to me a mathematician would disagree with your definition of = proof,=20 <BR>and I'm inclined to agree with the mathematical assumption that = the=20 <BR>theoretical proof is stronger, which is precisely why we learned = to do all=20 <BR>those geometrical proofs in high school. With a geometrical proof = in hand=20 <BR>that certain relationships can be found in a right angle triangle, = one no=20 <BR>longer needs to check every right angle triangle in the universe = to see if=20 it <BR>works every time. <BR><BR>pat=20 <BR></BLOCKQUOTE></B></FONT></FONT></BODY></HTML> ------=_NextPart_000_0032_01C0AB50.BB09F820--