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In a message dated 3/12/01 11:09:05 AM Eastern Standard Time,
[log in to unmask] writes:
> To examine each of the possible number of cases, even though the number
> of
> cases is finite, would take human beings a gazillion years to do. The
> computer was able to "examine" each and every case in 1200 hours. When the
> program had finished running, there were no other cases to consider, and
> each
> of the maps under consideration had been drawn with only four colors. Thus,
> the four-color map theorem had been proved.
>
>
How do we know the computer had examined "every" case, when we know any
computer is limited in the highest number it can deal with?
pat
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<HTML><FONT FACE=arial,helvetica><FONT SIZE=3 FAMILY="SANSSERIF" FACE="Arial Narrow" LANG="0"><B>In a message dated 3/12/01 11:09:05 AM Eastern Standard Time,
<BR>[log in to unmask] writes:
<BR>
<BR></FONT><FONT COLOR="#000000" SIZE=2 FAMILY="SANSSERIF" FACE="Arial" LANG="0"></B>
<BR><BLOCKQUOTE TYPE=CITE style="BORDER-LEFT: #0000ff 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px; PADDING-LEFT: 5px"> To examine each of the possible number of cases, even though the number
<BR>of
<BR>cases is finite, would take human beings a gazillion years to do. The
<BR>computer was able to "examine" each and every case in 1200 hours. When the
<BR>program had finished running, there were no other cases to consider, and
<BR>each
<BR>of the maps under consideration had been drawn with only four colors. Thus,
<BR>the four-color map theorem had been proved.
<BR>
<BR></FONT><FONT COLOR="#000000" SIZE=3 FAMILY="SANSSERIF" FACE="Arial" LANG="0"></BLOCKQUOTE>
<BR></FONT><FONT COLOR="#000000" SIZE=3 FAMILY="SANSSERIF" FACE="Arial Narrow" LANG="0"><B>
<BR>How do we know the computer had examined "every" case, when we know any
<BR>computer is limited in the highest number it can deal with?
<BR>
<BR>pat</B></FONT></HTML>
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