If you take any number, and keep halving the value, you will never get to zero. This problem in mathematics is most famously known as the Zeno's
paradox. Here's an analogy: Take a piece of bread, with a length of 1. Slice it in half and you have 0.5. Slice it in half again and you have
0.25. Slice it in half again and you have 0.125, etc, etc. You will find the number continues on infinitely when halved and will never reach zero.
Theoretically, if you keep slicing the piece of bread in half you will never
ever cut the whole thing.
Isn't this a fascinating concept?
This makes me wonder what zero really is. Does it really exist at all? Everything in the physical universe must be made out of at least 1 if
something. Yes / no? This concept draws parallels with infinity. You can take any number and double it to an infinite degree. Also, you can take
any number and half it to an infinite degree. You can never begin with zero; and you can never reach zero. Another example of this can be found in
fractals. Below is a visual demonstration of a fractal known as the Cantor set.
What is the smallest thing in the physical universe? Can it be halved? Can it be halved again? If we know what the smallest thing in the universe
is, and know it can't be halved for definite, that's fine. Problem solved. Or is it? What are the implications for the subject of mathematics which
is (at least what I consider) the purest of all subjects. Math is always correct. Isn't it? If we conclude a particular constitute of a particular
can't be halved in the physical universe, does this imply math, being the pure subject that it is, doesn't accurately correlate with the physical
universe? What if the smallest constitute of the universe
can be halved infinitely? Does this imply infinity is a reality and that
mathematics is always pure in our understanding of the universe?
Moreover, I have wondered about the Big Bang theory in relation to this. If there was a Big Bang, does this imply the universe began with 0, or
nothingness, into everything more than 1? Furthermore, everything in the universe is made out of energy. The first law of thermodynamics says energy
cannot be created or destroyed. It can only transit from state to another. Does this imply energy has always existed, and perhaps 0, or nothingness,
in the physical universe has never existed? Can zero exist? Is everything created from nothing, or at least 1 of something? Can zero exist and not
exist?
In some ways, I am inclined to think infinity is a reality and 0 does not exist. What are your thoughts? Every question must have an answer: Does 0
exist?
edit on 20-1-2012 by IrnBruFiend because: (no reason given)