/sci/ - Science & Math

Solving an infinite amount of paradoxes:

Let's say we have a series: 1, 2, 4, 8, 16 - you get it, q = 2. and the sum is infinite, because it's an infinite series.
Now let's multiply the whole thing by 1, the result will remain the same, right?
1*(1+2+4+8+16+...) = 2+4+8+16+...=infinite.
and 1=2-1, right? So let's try that out:
(2-1)*(1+2+4+8+16+...) = 2+4+8+16+... -1-2-4-16-... = infinite
so every positive number cancels with the negetive number and the oppisite. Well, besides one negetive number, -1.
Wait, so -1=infinite? How's that possible?
Simple, there is no such number as infinite. You can't say that X=infinite. Same goes to Y, Z, any series and anything.

Infinite is an idea, not a number. If you understand this, you won't have any problem solving any infinite "paradoxes".

Random fact: The symbol of infinite (see pic) is called "Lemniscate".

infinity(1)=infinity
infinity(2)=infinity
infinity(1)=infinity=infinity(2)
infinity(1)=infinity(2)
infinity(1)/infinity=infinity(2)/infinity
1=2