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Question #91790 posted on 11/15/2018 8:36 p.m.

Dear 100 Hour Board,

How much cheese have you eaten in your life? Answers to be as scientifically accurate as possible, please.

-I'm serious. This is a serious question. Seriously.


Dear Totally Serious,

First, let's consider time as a continuous medium, and measure cheese in terms of time it's taken me to ingest it. But let's also reorder the times in which I've been ingesting cheese in the following manner: divide the total time I've existed (which, if you believe in the Church of Jesus Christ of Latter Day Saint's theology, is the same amount of time as the universe) into thirds recursively, collecting the third points and saying those are the only points at which I have eaten cheese. 

Note I have just created a bijection with the Cantor set. Thus, I have been eating cheese for an uncountably infinite number of points, yet the total collection of time over which I've been eating cheese is of measure zero. 

So there you go: infinite cheese, but the amount of cheese is zero.