Originally posted by Opspeculate
Consider...
"Here's an analogy: Take a piece of bread, with a length of "0"
Solution...
You can't half it both ways... there is not a paradox with half of anything when the answer must be conceptually impossible. You can't divide by 0. That is a flaw in desired results to an abstract observation not a paradox...
Was fun to think about for a few minutes though.
;-P
Originally posted by IrnBruFiend
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)
Originally posted by RestingInPieces
OP, take a friggin' calculus course, why don't ya?!?
It's pathetic how many people on this site argue that zero doesn't exist or that 0.999... doesn't equal 1.
And no, I'm not going to explain to you in a post WHY you are wrong - It takes a whole sequence of mathematics course to understand WHY you are wrong, and you are OBVIOUSLY not smart enough to pick up that information in a single post (i.e slice a number in half multiple times).
Originally posted by cloaked4u
Zero was made up by a banker. Thats why they like the zero's. More zero's, more money. Even if it is .00000001.
Originally posted by IrnBruFiend
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)
It must have scrambled his brains, I hear he supports Romney now.
Originally posted by wavemaker
Chuck Norris was able to count up to infinity. Twice!