EagerForTruth wrote:Strange....I don't particularly believe in a supreme being, nor am I a rationalist. Maybe some have used either of those things to that end and now you assume I am too?
Yes, I did assume that. Perhaps I was jumping to a conclusion. Pseudo-science has always been my hobby-horse. My apologies.
And actually to go back to what Ginko said too, if you're still following the thread, I understand limits in math, and how it helps with calculations. Notice in the bit you showed me, it shows how to calculate a mathematical idea involving infinity by using limits, but also rather concludes that it's better not to use it. And even in the ones where it is used, it still just remains a concept of something continuing forever.
A famous physicists once said:
"Infinities in physics demonstrates the fact that we just don't know"
I just wish I could remember his name.
"how wonderful that we have met with a paradox, now we have some hope of making progress."
Niels Bohr on discovering an infinity.
"God does not play dice with the universe."
"Einstein, stop telling God what to do!"
"We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough to have a chance of being correct. My own feeling is that it is not crazy enough."
"An expert is a man who has made all the mistakes which can be made, in a narrow field."
"No,no you are not thinking; you are just being logical!"
"When it comes to atoms, language can be used only as in poetry. The poet, too, is not nearly so concerned with describing facts as with creating images."
As to why infinity is useful as a limit take the equation
Does it converge or not?
1/2, 2/3, 3/4 is a set of fractions defined hence by x/x+1 but not exhaustively, does that set at the limit of infinity equal any real number?
That's why infinity is useful.
At the limit of infinity what does that equation equal if it converges what hence is the value of any x/x+1 in maths, if it does not converge is it in and of itself infinite or not? Express x/x+1 in decimal form, does the decimal form converge if not why not? Which set is greater x/x+1 or x/x+1, if they are equal explain how?
If not explain why x/x+1 ><= than x/x+1 and why?
Which is the larger cardinality of sets the decimals or the fractions, explain why..?
Hence prove why:
Why is hence pi transcendental and irrational and how does that impact on fractions of x/x+1?
is the set of transcendental or irrational numbers larger than the set of real numbers or natural numbers, if it is why and how would you prove it?
See asymptotic functions and assymptote analysis for further proofs.