Bizzare Thoughts

Friday, July 28, 2006

Zero and Infinity!


Well, probably the two most interesting numbers in mathematics are zero and infinity. Though it is usually stated that while zero is defined, infinity is not. It is just an assumed number, beyond which we cannot count. In the true sense, infinity can never exist, because there can be a ceaseless counting which could go on. But how long could we go on counting? The answer would be.. upto infinity! So as we see, we are in a big loop here.. it is something which doesn't exist, but to prove its non-existence itself requires its existence!!

Now lets come to 'zero'. Zero is said to be one of the biggest discoveries in Mathematics, and contrary to infinity, it is supposed to be clearly defined. Well, lets try and define zero. In common language, zero could be probably defined as 'nothingness'. The closer we get to zero, the more we get into 'nothingness'. We do assume the number in mathematics, but its not the end of counting, in fact its the perfect mid point, flanked by +infinity on one side and -infinity on the other. Now, the fact of the number is, do the negative numbers exist as far as the real world is concerned? Yes they do! Suppose you owe someone 100 bucks, and u pay him 200 bucks, u end up owing him -100 bucks, so to say! So in a way considering in a way, the negative numbers are just perceptive reflections of the positive numbers, but we still deal with them with in the day to day life.

Having said this, lets come back to zero.... now if we do assume infinity to be the end of counting, zero is the perfect midpoint. Is there something as a perfect zero? Yes, we might see that on our tests occasionally, but in the absolute sense, the concept of zero is as intriguing as infinity. While we try to minimize things, to approach the perfect zero... we go down to atoms, electrons, quarks, superstrings.. etc etc, in our quest to reach that perfect zero, the perfect nothingness from which everything arose! However, for every miniscule particle, there exists another particle which is even smaller than that. So the smallest particle is the smallest only till another smaller particle is discovered.

So, how far can this cycle go? Probably Infinite times. If we keep on doing this till infinity, we might reach the perfect zero. But since we cannot reach infinity, it implies we cannot reach the perfect zero!

What if we came to know that zero and infinity are terms very close to each other. I mean consider the number system, if it ends at infinity, the immediate next number would have to be zero, in order for it to cycle. Since we can never reach infinity, we can never come back to zero. The day we reach infinity, will mean we have probably come back to zero.

Thus conceptually, infinity and zero both are interdependent entities, and the existence of one depends on the other. We assume both exist, but we can never manage prove that! It is between the 'perfect hollowness' and the 'perfect wholesomeness' that this world exists, and wither the 'perfect hollowness' or the 'perfect wholesomeness' themselves do exist, is beyond our comprehension!

1 Comments:

At 7:22 PM, Blogger Sneha said...

Hey we had a similar discussion in my calculus class when I took it. I like your viewpoints, and I agree with you too! Good blog and great post :-)

 

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