This thread is permanently archived
math? more like, what?
| between any two different points in space (or time), there is always another point. Without this assumption there are only a finite number of distances between two points, hence there is no infinite sequence of movements, and the paradox is resolved.
| Yay
| Infinites and small brains don't go well together
| Math isn't real
| Wait until you find out that 0.99999999... that goes on infinitely is equal to 1
| >>692410
1 being "after" (greater than ?) 0 doesn't mean the number of real numbers between 0 and 1 is finite.
No real numbers sit "next to" each other...
| Google ℵ0. It'll blow your mind.
| a = b
Multiply both sides by a to get a2 = ab
Subtract b2 from both sides to get a2 - b2 = ab - b2
Factor the left side to get (a + b)(a - b) and factor out b from the right side to get b(a - b).
(a + b)(a - b) = b(a - b)
Since (a - b) appears on both sides, we can cancel it to get: a + b = b
Since a = b we can substitute b in for a to get b + b = b
Combining the two terms on the left gives us 2b = b
Since b appears on both sides, we can divide through by b to get 2 = 1
This thread is permanently archived
| there are infinite numbers between 0 and 1, and yet we know that after 0 is 1, which makes the numbers between those two numbers not infinite, because we know at some point, it'll end at 1.
what can we make out of this?