--part1_dc.385bc9c.27dea739_boundary Content-Type: text/plain; charset="US-ASCII" Content-Transfer-Encoding: 7bit In a message dated 3/12/01 1:43:12 PM Eastern Standard Time, [log in to unmask] writes: > However, it does appear either that Pat will have to learn the math > involved or that the professors (or their spokespersons) will have to > learn to express the logic of that math in simple language (back to > them 26 letters and what they can do, etc), as in the complex ideas of > Plato expressed in the simple language of Socrates. The alternative > is....well, more postal slam dancing comes to mind.. > Ken, You know, square numbers and triangular numbers were discovered when the Pythagoreans sat around playing with pebbles that they arranged into square and triangular configurations. I suppose there are areas in mathematics where one has to get away from that kind of primitivism, but I doubt that 4CC is one of them. I learned something from having to explain complex ideas to students with a limited educational background and a limited ability to deal with abstraction--if you can't explain something to somebody else in simple language, then there's room to ask how well you really understand what you're saying yourself. I think all of us also know what a snow job is. When a person makes a big to-do about how I wouldn't understand the answers to the questions I'm asking, or how I shouldn't be asking the questions, etc etc, I begin to wonder what the evasion is about, and what it is I'm not supposed to find out. Anyway, Ken, why are you assuming I wouldn't know anything about the Four Color Theorem? I've written three books on color, and for the last one I wanted to say something a little more intelligent about 4CC than just repeating all that blah blah about "nobody understands how to solve it." I thought I'd at least like to find out what was supposed to make it so unsolvable. So I read Saaty's book, took a lot of notes, and ended up with more material than there really was room for in my book. Also, I wanted to find our more about the computer program, and Steve is the first person I've come across who's actually familiar with it. I should maybe be starting by asking him the simpler questions--like what computer language is it written in, how can I see a copy, and who actually wrote it. pat --part1_dc.385bc9c.27dea739_boundary Content-Type: text/html; charset="US-ASCII" Content-Transfer-Encoding: 7bit <HTML><FONT FACE=arial,helvetica><FONT SIZE=3 FAMILY="SANSSERIF" FACE="Arial Narrow" LANG="0"><B>In a message dated 3/12/01 1:43:12 PM 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">However, it does appear either that Pat will have to learn the math <BR>involved or that the professors (or their spokespersons) will have to <BR>learn to express the logic of that math in simple language (back to <BR>them 26 letters and what they can do, etc), as in the complex ideas of <BR>Plato expressed in the simple language of Socrates. The alternative <BR>is....well, more postal slam dancing comes to mind.. <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>Ken, <BR> <BR>You know, square numbers and triangular numbers were discovered when the <BR>Pythagoreans sat around playing with pebbles that they arranged into square <BR>and triangular configurations. I suppose there are areas in mathematics <BR>where one has to get away from that kind of primitivism, but I doubt that 4CC <BR>is one of them. I learned something from having to explain complex ideas to <BR>students with a limited educational background and a limited ability to deal <BR>with abstraction--if you can't explain something to somebody else in simple <BR>language, then there's room to ask how well you really understand what you're <BR>saying yourself. I think all of us also know what a snow job is. When a <BR>person makes a big to-do about how I wouldn't understand the answers to the <BR>questions I'm asking, or how I shouldn't be asking the questions, etc etc, I <BR>begin to wonder what the evasion is about, and what it is I'm not supposed to <BR>find out. <BR> <BR>Anyway, Ken, why are you assuming I wouldn't know anything about the Four <BR>Color Theorem? I've written three books on color, and for the last one I <BR>wanted to say something a little more intelligent about 4CC than just <BR>repeating all that blah blah about "nobody understands how to solve it." I <BR>thought I'd at least like to find out what was supposed to make it so <BR>unsolvable. So I read Saaty's book, took a lot of notes, and ended up with <BR>more material than there really was room for in my book. Also, I wanted to <BR>find our more about the computer program, and Steve is the first person I've <BR>come across who's actually familiar with it. I should maybe be starting by <BR>asking him the simpler questions--like what computer language is it written <BR>in, how can I see a copy, and who actually wrote it. <BR> <BR>pat</B></FONT></HTML> --part1_dc.385bc9c.27dea739_boundary--