/sci/ - Science & Math

>>16207764
I'm back baby, wherever the Lazy Eight rears its logically impossible head I shall be there to slay this foul mathematical hydra

>>16197446
>Is it possible that in universe everything is infinite and finite in the same time?
Nah not unless "-finite" in "infinite" there means something different from "finite", since things can't simultaneously be true and false in the same way and the same sense.
And it's quite easy to prove that nothing can be infinite, check out https://www.youtube.com/shorts/W4_OXMCswKU which shows in less than 60 seconds that allowing for infinities leads to a mathematical contradiction.

And that's just one example of the many contradictions it leads to.

>>16173674
>>16173995
Honestly it's very easy to prove that the universe isn't infinite. Finitism is true and nothing can be actually infinite. Quick, easy, and simple proof here: https://www.youtube.com/shorts/W4_OXMCswKU

"Infinity" is a self-contradictory concept and hence always brings logical contradictions with it

Allowing for infinities gets you a logically contradictory system where you can prove anything simultaneously true and false.

After all, what's 1 equal?
1=(½+½)=(⅓+⅓+⅓)=(¼+¼+¼+¼)=....
And so on.

If we accept actual infinities, then eventually we arrive at:
1=[(1/∞)+(1/∞)+(1/∞)...]

What's two equal?
2=(1+1)=[(½+½)+(½+½)]=[(⅓+⅓+⅓)+(⅓+⅓+⅓)+(⅓+⅓+⅓)]...

Allowing for actually infinites eventually we arrive at
2={[(1/∞)+(1/∞)+(1/∞)...]+[(1/∞)+(1/∞)+(1/∞)...]}

However, if you double infinity or if you half it, it doesn't become bigger or smaller. If you cut an infinity in half the two halves are both the same quantity as the whole was before. If you double an infinity it's the same quantity as it was before.

So {[(1/∞)+(1/∞)+(1/∞)...]+[(1/∞)+(1/∞)+(1/∞)...]}=[(1/∞)+(1/∞)+(1/∞)...]

Therefore 2=[(1/∞)+(1/∞)+(1/∞)...]
But earlier we saw that 1=[(1/∞)+(1/∞)+(1/∞)...]
Getting us the conclusion 2=1.

We can do the same to show anything, like 500=1, -24=1000, 6>∞, and so on.

So actual infinities lead to logical contradictions, telling us that they are logical impossibilities.

So finitism is true.

Consider the set of fractional numbers between 1 and 2.

The members of the set of fractional numbers between 1 and 2 simultaneously add up to 1 (since they're the amount 1 and 2 are separated by) and to ∞ (since they are all positive and greater than zero, and the infinite addition of positive numbers greater than zero equals infinity), a contradiction meaning:
1 = ∞

We can do the same for all numbers (numbers between 1 and 501 for instance to get
500 = ∞

And if we can prove both
1 = ∞
and 500 = ∞
then we can prove 1= 500

QED infinities yield contradictions and finitism is true

Consider (1, 2, 3...)

What's immediately to the left of that last parenthesis?

It can't be ∞ since ∞ isn't part of that set.

It can't be any given finite number, since there would always be a higher number you could give.

You could say "nothing", which brings the question of what's to the left of that - if "nothing" all the way, then the set cannot exist at all since we can keep going left infinitely and will find nothing.

QED Actual infinities are logical impossibilities.

(Which, as we all know, proves God exists btw)