...except that those concepts are then used to describe a finite world.

first of all what you said isn't logically coherent.
To simplify there is a unique rational between any two rational numbers, including those are that whole.
What you failed to describe is known as densely ordered.
But we don't even need to consider fractions to get infinities within infinities.
If you have a line of infinite chairs and filled them all up, but now you have the exact number of people arrive and you want to make room for them all you need to do is send the n'th person to the 2*nth seat of course since the 2*nth resident has gone to the 2*2*nth seat it's vancant for the n'th person, and thus by induction all the odd seats are open so there is enough space to seat the new guests.
But the reason this works is because any affine transform is bijective.
Btw a german guy figured this out, his name was Cantor.
Seriously, /lit/ don't come to /pol/ just cause you can't hack it on /sci/
This is baby shit you learn in elementary school.

>>534461095
This problem has been debated since at least Aristotle. I think the most popular solution is to distinguish actual from theoretical divisibility

>>534461095
Hypocrite that you are,
for you trust the finite in your
mortal brain to tell you they are finite.
All knowledge is ultimately based
on that which we cannot
prove. Will you fight? Or will
you perish like a dog?

>>534462557
The sign is a subtle joke. The shop is called "Sneed's Feed & Seed", where "feed" and "seed" both end in the sound "-eed", thus rhyming with the name of the owner, Sneed. The sign says that the shop was "Formerly Chuck's", implying that the two words beginning with "F" and "S" would have ended with "-uck", rhyming with "Chuck". So, when Chuck owned the shop, it would have been called "Chuck's Feeduck and Seeduck".

>>534461095
if finite beings are capable of creating infinite systems that would suggest that the infinite is somehow leaking into the finite. like you know, oh say, grace

>>534460773
The thing is you're never going to need to fraction something that much, so the infinities dont exist in the real world.

>>534464173
>Real beings are capable of creating imaginary beings... omg cthulu is leaking into the real world.

>>534460773
>Talks about "Infinity" and what is "Infinite"
>Continues to repeat him self "And that continues forever...."
Completely redundant. Anon, put the bottle down, and take a nap. maybe get some water or coffee.

>>534460773
It's an abstract system which isn't self-contradictory and doesn't produce false results when applied to known physics.
It doesn't correspond directly to the physical world, matter isn't made of infinite amounts of infinitely small particles etc. My intuition is that the universe isn't infinite either.
But you introduce additional problems and constraints if you reject infinity, like wtf is the "smallest number".
Don't worry about it dude, you can't count above 271,000 anyway.

>>534466265
>It's an abstract system which isn't self-contradictory
No, infinity is a logical explosion that stems from a paradoxical self-contradictory origin number that, as a valueless value, is its own opposite (-0=0) which due to the principle of explosion necessarily yields a logical explosion toward an infinitude.

Set theory. 100 years ago, this was called Jewish math and is responsible for paradoxes such as Vitali sets, Banach Tarski... Follow up question: Where did Zermelo's name come from?