This is where mathematics breaks down.
And so they came up with Calculus to cover over this enormous hole.
This derives from the assumption that you can always add one to a number.
If you have a collection of all of the atoms, adding one more atom doesn't have any meaning.
If you have 100 blocks, talking about the 101th block has no meaning.
But, math does this all of the time.
And so, when you play around with the rules of infinity you can get many equations where
1 = 0.
Well it depends on what you're describing, if you mean infinite as a math concept, then you don't need to prove it, in the same way you don't need to prove a "1" is actually a "1", you just say it's a "1" and use it in a problem.
If you mean infinite in our physical reality, like space being "infinite," the laws of physics don't allow that.
This is where mathematics breaks down.
And so they came up with Calculus to cover over this enormous hole.
This derives from the assumption that you can always add one to a number.
If you have a collection of all of the atoms, adding one more atom doesn't have any meaning.
If you have 100 blocks, talking about the 101th block has no meaning.
But, math does this all of the time.
And so, when you play around with the rules of infinity you can get many equations where
1 = 0.
I love how my paradox got all mathematical, haha ^.^
Because we say it is, it's infinite by definition.
We can say it is, but we can never prove it. That's the paradox.
Well it depends on what you're describing, if you mean infinite as a math concept, then you don't need to prove it, in the same way you don't need to prove a "1" is actually a "1", you just say it's a "1" and use it in a problem.
If you mean infinite in our physical reality, like space being "infinite," the laws of physics don't allow that.