4 ms·
I like the way I was taught better: Imagine you are 2 feet from the wall, and with every step you move forward 50% of the remaining distance. How many steps do
by skate22 8y ago
I like the way I was taught better:
Imagine you are 2 feet from the wall, and with every step you move forward 50% of the remaining distance. How many steps does it take to the wall.
And the answer of course is that you never get to the wall, no matter how many steps you take
- throwawaymath 8y agoThat ceases to be a paradox once you distinguish between boundedness versus completeness for a set of infinite steps. There are infinitely many steps on the interval [0,1]. But if you add 1 "step" at any point of the interval greater than 0, you've still "passed" it.