(November 25, 2012 at 7:07 pm)Daniel Wrote:Just to add a little something!(November 25, 2012 at 2:04 am)journeyinghowie Wrote: --For reference, an infinite regress is something very hard to wrap your mind around. Its infinity. What is infinity? Infinity is a constant "something". Is infinity impossible? No. Actually, through reason, we know that it is only possible, because since there is no such thing as nothing, there always most be a constant something which is again: Infinity.--You are also totally wrong on this. "Infinity is a constant" and "Infinity is Something" (ie Real). In a number system, any number even a transcendental number, can be added to or subtracted from to form a new number. We say there are an infinite set of numbers, but all that means is that there's no limit on the number of numbers. If infinity is a number, as you claim, then you can add to or subtract from it to form a new number. Thus as you plainly see infinity as "something" does not exist. Infinity is nothing - it can't be measured, it's immeasurable.
In math, there is an operator which is the 'lim', or limit. The limit of f(x) when x goes to some value. Typically, at school you get some exercises where these things go awry (x-> inf; x->0), e.g.:
lim (x->0) 1/x = infinity
lim (x->inf) 1/x = 0
lim (x->0) sin(x) = 0
lim (x-> inf) sin(x) = UNDEFINED!, because the sine function is always going up and down, up and down, up and down, up and down, for ever and ever, "to infinity and beyond"... at most, you can say the result is anything between -1 and 1.
