Tuesday, April 19, 2011

Asymmetry of Truth.

I express - as I wish,
my thoughts on that
and that
and that
and this.

Now you ask "Why?"
As you scan with inquisitive eye.
And I begin the elaboration
Of my thoughts' own formulation.

Deeper and deeper we run the maze,
As I throw reason to questions' gaze.
Oh what a wasted melody
Of nature's structured symphony.

Neither stop as we waste
the splendid beauty of this place.
Neither of us care to see
the perfection of verifiability.

Every truth which we may think
rests upon a deeper link
But why don't we ever say.
"This is why the universe works this way" ?

To paraphrase the above; when we question one another and the responder begins taking steps "backwards" to elaborate what s/he means to say, we never stop to appreciate how true statements play off one another and allow some deductions to be true while others are false.

This elegant structure in nature allows for everything else to occur.  If the laws of nature weren't true they wouldn't influence existence, and all the structures of nature - from stars to trees to animals to blackholes, would never be.

This structure would never be if true and false weren't asymmetrical opposites.  By this I mean that the characteristics of a true statement are not the same as the characteristics of a false statement.

First of all, for any distinct piece of data there can only be one truth.  However, there may be an infinite amount falsehoods.  For example; the "true" statement for the weight of a given animal is, say, 50kg.  All other statements for the weight of this fictional animal are false...and there are far more false statements than there are true statements.

If we take the above and apply it to the famous paradox, "This statement is false," we can deduce that no piece of data can carry its own verification.  "This statement is false,"  cannot be said to be either true or false for it would be a contradiction.  However, we only assume that this statement is valid because "This statement is true," is not a contradiction.  As said before, true and false are not symmetrical, and so we cannot assume that "This statement is false," is a valid statement just because "This statement is true," is valid.  Hence, we can see how "This statement is false," is not a valid statement due to the contradiction it implies and so cannot be put forward.  To extend the argument further, no piece of data can claim itself to be false, due to the same argument given above.  Also, a piece of data claiming itself to be true is no better than a piece of data which makes no claim on its own truth-value, for obvious reasons.  Therefore we can go ahead and say no piece of data can carry its own verification and can only be proven true by other pieces of data.

Finally, from the above it can be seen how there can be no stand-alone piece of data as it must be verified by other pieces of data, which in turn must be verified by other pieces of data etc. etc.  Therefore the asymmetry of truth causes an endless stream of data, each one playing off the verification of the other - and this stream of data in turn shapes the laws of nature and allows them to form the universe.

If this asymmetry had to be shifted - say two truths to an infinitude of falsitudes - reality would be very different...perhaps an idea for computer science?

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