Author: Robert Pope
Date: 17:02:50 02/23/03
Go up one level in this thread
On February 23, 2003 at 13:52:34, Anson T J wrote:
>If the color red was created by combining blue and green, and the color yellow
>was created by combining red and purple, then blue could be created by combining
>yellow and orange.
>
>Can you say if this statement is true or false with reasoning?
If you assume that the statements are talking about real color relationships,
and the colors are just mis-labeled, then it is false:
If the 3 statements were true, substitution would give b+g+p+o makes b. That
means that g+p+o is the "zero" in this system, or a non-color. Since there are
no real colors that we can combine to get no color, the statement cannot be
true. (black and white are not "no color", since blue plus black or white does
not give the same blue.)
Of course, the above assumes that combining colors works the way we expect it
to, as either an additive or subtractive system.
If the "colors" are just terms in some other system, we cannot say if it is true
or false, since we have no information about "orange".
Suppose that r,p,o,g,y are numbers in modulo 8 arithmetic, and "combining" is
addition.
Then if b=3, g=1, r=4, p=2, y=6, o=5, the statement is true.
b+g->r is 3+1->4 true
r+p->y is 4+2->6 true
y+o->b is 6+5->11mod8=3=b true.
But if it is mod 10 arithmetic, or o=7, then y+o does not make b. We have no
way of knowing what the underlying universe is ("colors", "mod8", or "mod10"),
so we cannot say if the statement is true or false.
This page took 0.01 seconds to execute
Last modified: Thu, 15 Apr 21 08:11:13 -0700
Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.