It looks like you're using an Ad Blocker.
Please white-list or disable AboveTopSecret.com in your ad-blocking tool.
Thank you.
Some features of ATS will be disabled while you continue to use an ad-blocker.
Therefore in this series, with infinite terms, 0 = 1
Originally posted by albie
?
Clearly infinity does not exist. It's impossible. Scientists won't tell you that because it would negate everything they know.
Reality is impossible. Surely I don't have to tell you that? Things don't pop into existence from nothing. And things don't exist infinitely, otherwise all existence and experience would have no actual space to exist in the impossible infinite time line. If we had always existed, we would all be gods by now. Although we wouldn't, if you see what I mean, because you could always set back the time of being born, say, another billion years, etc.
It's elementary.
[edit on 11-2-2006 by albie]
Originally posted by siddharthsma
I personally find it hard to believe the concept of Infinity, and that there is anything in the Universe we can describe as totally infinite. I believe Infinity is the cause of many problems in science, or perhaps infinity is really something else not what we describe it as.
Where Infinity goes wrong :
Let us say that the following series has an infinite number of terms:
S = 1 - 1 + 1 - 1 +1 - 1 ..... and so on forever
Now there are different ways we can group these :
S = (1-1) + (1-1) + (1-1) + .... and so on
therefore S = 0 + 0 + 0 + 0 .....
so S = 0
but there is another way we can group these numbers in the series:
S = 1 + (-1 +1) + (-1 +1) + (-1 + 1) + ........... and so on
In this case S = 1 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + ......... and so on
therefore S = 1
Therefore in this series, with infinite terms, 0 = 1
I got this example from a book, and I thought it was a good example of when Infinity can cause unecessary problems in Math.
But we also know infinity causes problems in Physics, e.g when we say space time can have infinite curvature. This runs us into a singularity.
What do you think, is infinity really necessary, or is it a concept that should be discarded ?