Monday, April 10, 2006

Of or related to problems and solutions

I am trying to get rid off some drafts that I had saved in the past and push them as posts, on general principle. This was drafted originally on 13th February, 2006 at around 6:48 p.m, and modified now to look palatable.
Further update: Contents last modified on 11
th April at around 1:25 p.m. to suit the author's mood and taste.

Feb 13th, 2006

Problems, in general, can’t have solutions. If there was one, there wouldn’t have been a problem at first place. {So, problems are nothing but facts; facts that are a little annoying, but facts nevertheless.}

Somebody might come up with examples to refute this claim, like this:
Q: how much is 17 times 18?
A: Hmmm, the conventional wisdom has it as 306.
Well, this kind of example is a special case and rejected outright because of the sheer number of living beings that know the answer.

I know there is an alternate version which goes like this:
Problems are meant to have solutions. If there weren’t any, nobody would have tried to pose it as a problem. {So, problems generally have solutions, and they would have been accepted as facts, otherwise.}

Again, some frustrated reader, might come up with examples to refute this claim, like this:
Q: how do I get a girlfriend?
A: Now, I can’t have an answer for this, when you yourself don’t. Can I?
Well, may be, this is a special case as well and need not be considered in this discussion. {So, we will assume
that there is an impending solution in this case, much to the reader’s delight; and that, it will take some finite time to find the solution.}

Now, I pose a problem - to find out which of the above theories are right.
The discerning reader would have realised that theory #1 is deftly done and hardly makes any claim about problems having solutions. Where as, according to theory #2, there will always have to be a solution, now that I have specified a problem.

My dear reader, here the supporters of theory #2 are caught off guard unless they offer a convincing solution to this problem. Else, the winners by default,
the supporters of theory #1, will go on to make more claims.
1. Contradiction is the only tautology.
2. Incompleteness is the most complete.
3. Cynicism is beautiful.

Now, this write-up was just restating what every kid knows once it steps into this world and sighs. The
indecidability, on whether there is a solution or not, for a problem, is just a constraint. And, the solution, or the lack of it, is just an “implementation detail”.

Final note:
There are no problems. There are only facts. On second thoughts, there are no facts either.

1 comment:

  1. On third thoughts,everything is nothing.It all comes down to 'Zero'.Uh! And I tell THAT to Zero?!