It's not infinity it's a loop! Stop thinking about numbers and think of a fractal. Now imagine that instead of making copies of itself it makes unique new structures from new shapes. That would be real infinity. No matter where you move or zoom to, you find something new which could not have been generated by a using a function on an existing part. Although I suspect there would still be a function at work, but using randomness. But nobody can prove randomness exists, so how can infinity exist?
Your arguments don't make any sense.
Also, the kind of fractal you talk about is called a quasi-self-similar fractal, an example of which is the Mandelbrot set. It has nothing to do with randomness.
Really, you're just making things up. You seem to think you're outwitting whole generations of mathematicians with your arguments![]()
To represent an infinite number the information must be stored somewhere right? But nobody can prove there is an infinite amount of information in the universe, so how can you "store" an infinite number?
It seems to me there must be a finite amount of information and probabilities in the universe and time, and if you expressed it as a number it would eventually be exhausted and have to start stealing information from the beginning and looping it.
It would appear to be infinite, but really it's not. You could say that process in itself is infinite but it's not, because if you counted the iterations there would be no way to store the number! You are simply taking information off the beginning and adding it to the end. Maybe that's all "time" is?
Almost right......
The cardinality of the Naturals (infact any countably infinite set) is aleph 0. If you assume the Continuum hypothesis, which is provably unprovable (in PA) then the cardinality of the reals is aleph 1.
mmm maths
It's still self similar. It's like saying a computer can generate a random number, but really it can't. It can only generate a fake random number from some algorithm.
Well then what on earth do you mean? What are you even trying to say? If you want an infinitely long sequence of symbols that follow no pattern, then how about the digits of pi, e, or any other transcendental number?
What you're saying is so hopelessly vague and ill-defined as to be meaningless.
Pie and e are just numbers. Just like mavity is a number. Thats all they are!
Why people try to figure pie out to the nth number is beyond me! What purpose does it serve?
There's nothing wrong with the "layman" trying to make sense of complicated maths/science, in fact it's a good thing that the general public have a decent qualitative knowledge of difficult concepts. But when the armchair mathematicians come out of the woodwork and claim accepted theory to be incorrect because they can't understand it, well that's a bit crazy.
kwerk: I hope you don't mind me asking but to what level have you studied maths?
Pie and e are just numbers. Just like mavity is a number. Thats all they are!
Why people try to figure pie out to the nth number is beyond me! What purpose does it serve?
Just a couple of uni classes which were of no interest to me at the time. It's not so much maths I'm talking about but infinity in general, like when people say a black hole has infinite mavity for example, or there are infinite universes.
I understand the math CONCEPT and I accept that it's a useful way to represent uncomprehendingly big numbers, but what I'm saying is there's no evidence that it EXISTS in real terms and I can't come up with a way it could possibly exist without simply looping something finite.
And the monkey typewriter thing bugs me too. Because for that to work the monkey would have to bash keys completely randomly, but there is no such thing as true randomness so eventually it would settle in to a pattern no? The closet thing science has found to randomness is things like the decay of radioactive material but nobody can really say if that is truly random or not.