Theories of the universe

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).

Whoosh ;)
 
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.

Erm...I was joking, not being serious. Just posted that pic I found to lighten the mood in a "If I divide by zero, the universe folds itself out of existence" kind of way.

1433529629_4c1f775559.jpg
 
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I am doing ∞ sequential iterations of the first cut.

Where in this sequence of iterations does ∞/2=∞ no longer hold true?

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.
 
infinty is not a real number, not a rational number, not an integer, not a complex number, not an imaginary number, and not a transcendental number.

but it could be an example of a "transfinite" number.
 
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? :D

I really ought to come here more often while at work, all these pages to keep up with :eek:

The way I understood this article

Was that eventually the 'universe' if you could still call it that would be a big black empty. Eventually, over the course of time that passes, random atoms will merely 'pop' into existence. Ok fair enough, these may not be anything exciting, until perhaps something 'pops' into existence that causes a 'very big bang' - I don't know, a portable hole inside a bag of infinite holding, an AMD Thunderbird processor sans heatsink whatever it is, it merely goes 'bang!'

Nothing would need to 'outlive' the last universe, as the way I understand it, atoms will just 'materialise' and the right atoms will start the whole thing all over again. Like they say at the very end of the article. That story just seems to make the most sense to me out of all the theories i've heard.
 
and also you can't actually divide infinity by two because it has no centre point.

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.
 
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He obviously didn't check his mirrors before reversing. Seriously careless. If he was a proper tazi driver then there should be insurance for this kind of thing.
 
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.

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.
 
big fat lol :eek:

More study required for you!

How very scientific of you. Just like all great art, at the time it is misunderstood and laughed at. It is only through questioning the status quo that advancement can be made. You are quite welcome to disagree with me, But to laugh at it, shame on you. Pathetic.

Einstein was an *amazing* mathematician.

I cannot remember where i heard it, but i believe, and i accept that it is within the realm of possibility this is not true, that he employed the services of other mathematicians to work on his ideas for him. That is not to say they were not his ideas in the first place. But as i say, i am unsure of the validity or severity of this implication.


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 :) Each pass through the strip could effectively be seen as all possible values between an integer n and an integer n + 1 (edit) although since we are halving that might not be the case.
 
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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.
 
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.
 
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.

but we're not talking about linear infinty.

and even if we were what you say is still no different to saying a line infinate, just your line isn't straight. It doesn't help anything.

and technically it wouldn't break down at a molecular level because a line has no width.
 
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