Peculiar Planar Problem
I have a finite 2-dimensional plane. Then, I make googolplex copies of this plane. Finally, I stack all of these planes on top of each other.
True or False
The resulting stack has a volume of 0.
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1 solution
A 2-dimensional plane has 0 thickness. Therefore, if I take an arbitrarily large amount ( a ) of planes with 0 thickness, then the resulting thickness is 0 × a , which will always result 0 as long as a is finite.