Re: Solving a * 0 = 0 Plankenstein Monster "IT'S ALLLLiiiiiivvvvvvvve !!!"


William Elliot wrote:
On Fri, 29 Dec 2006, David C. Ullrich wrote:
On 28 Dec 2006 19:06:19 -0800, huangxienchen@xxxxxxxxx wrote:

If someone says that R * 0 = 0, then R is a solution ?

No. Nobody has said that R is a solution. R is the solution
set. That means that R is the set of all solutions.

0 * R = {0} = R * {0}

a * 0 = 0 solutions exist
0 = 0 solutions do not exist. There is no variable to solve
for.


You could just as easily argue

0 = 0 has no unknowns to solve for.
a * 0 = 0 has solutions of the form {a} or all of R
a * b * 0 = 0 has solutions of the form {a,b} or all of R
etc
etc until you have an infinite number of variable

a_1 * a_2 * a_3 *.........a_n * 0 = 0 , where n -> infinity

You can argue all kinds of things. The bottom line is simple. The
answer, whatever it might be, will be just one of many equally
acceptable other answers and the choice as to which might be best is
completely INDETERMINATE.


You can maintain whatever you want. Lots of people enjoy posting
nonsense on usenet. So what?

Ok, I'll maintain my astonishment at you maintaining your patience.


I'll be astonished if you ever post on topic.

.