Well if you get as far as doing a maths degree look back to this thread once you've completed your real analysis modules!
Infinity isn't a number, logical or not what you have posted is incorrect.
when did I say it was a number?
Well if you get as far as doing a maths degree look back to this thread once you've completed your real analysis modules!
Infinity isn't a number, logical or not what you have posted is incorrect.
You have to define (at least in a theoretical sense) what you mean by an infinite ribbon (and what you mean by a cut).
I'd say the most "natural" definition would be to model the ribbon as the real line, and a cut at 'x' means splitting into the sets {y:y<x} and {y:y>x}. In which case after n cuts you end up with n-1 finite pieces and 2 infinite ones.
But you could model an infinite ribbon using the "long real line" (using the same definition of cutting at 'x'), in which case it's perfectly possible to divide it into an infinite number of parts of infinite length. (Using what I think is a perfectly reasonable definition of 'length' over the long reals, though your mileage may vary).
Edit: (Actually, I think you might need the "long long real line" to make the last example work. Not sure).
there is 1 major flaw with your theory.
first of all if you cut the ribbon into 2 you are at the beginning of the 2, the beginning can now also be classed at the end. if you take these 2 end pieces you can cut along them and you wont be creating new infinite pieces, you will be creating finite piece.
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see what Im getting at?
my point is as you cant divide infinity you cant really use it in such an example.
when did I say it was a number?
I am doing ∞ sequential iterations of the first cut.
Where in this sequence of iterations does ∞/2=∞ no longer hold true?
You implied as such by trying to divide it by itself.
The rules of division in that form are only applicable to real numbers, of which infinity is not a part.
Surely after an infinity of cuts, which in real terms means you will never reach that point as there will always be one more cut to make.
Yes but something must have been there to enable the big bang or perhaps the fact that there was nothing made it? maybe there can not be nothing?![]()
and also you can't actually divide infinity by two because it has no centre point.
I believe Einstein himself wasn't a particularly exceptional mathematician.
Absolutely not true. A mobius strip is a perfect example of infinity because it has no beginning and no end. If you cut a mobius strip down the middle ( /2) it remains utterly intact. its 'aparant' length will appear to double, but it will still have no beginning and no end. Whether its whole, in half or in 1/2^n it will always have infinate surface area.
Thus infinity/n == infinity.
I have been meaning to make a video for youtube on my own universal theories for a while now. I seem to share the same ideology as the guy in this video; Im not a scientist nor a mathematician. The really cool stuff that interests me is more philosophical in nature. I believe Einstein himself wasn't a particularly exceptional mathematician.
Absolutely not true. A mobius strip is a perfect example of infinity because it has no beginning and no end. ... Whether its whole, in half or in 1/2^n it will always have infinate surface area.
big fat lol
More study required for you!
Einstein was an *amazing* mathematician.
a mobius strip isn't an example of "eternity" anymore than a circle is.
It get's a to a point then repeats, whilst infinity doesn't go over itself in theory.
Thinking about it, this has an easy side step. I agree, a mobius strip of constant size would involve repetition. However, if you travel along the centre of the strip and just before you reach the point you started you cut the strip in half, continuing down the centre of the new strip, no point is ever revisited and your criteria is satisfied![]()
regardless, if you did it enough times it then you would either run out of material (paper?) or repeat yourself.
unless it was an infinately large mobius strip, in which case the whole idea of using the mobius strip as an example becomes redundent.
Yes it breaks down at the molecular level, but then as far as im aware, infinity isnt a quantifiable value. Therefore, a theoretical mobius strip that isnt constricted by the size of the atom is viable.