Proof some infinities are bigger than other infinities

A followup to How Many Kinds of Infinity Are There? that contains Cantor’s Diagonal Argument and The Fault in our Stars references.

Also see Numberphile’s video about the proof with James Grime, and Minute Physics‘ short and sweet version.

Nothing ever gets done if you wait for ideal circumstances. In the first infinity video, I had 20 minutes of time in our very professional sound booth before my office mate needed to use the booth and mic. When it comes to great audio, it’s hard to beat couch-cushion-fort-under-a-desk, so that is an example of ideal circumstances.

Screen Shot 2014-06-24 at 11.03.43 AM
Sometimes there’s no time for building professional pillow forts because you have to record in a big echoey room in time to make your flight and then edit audio on a plane with your arms all crunched up like a t-rex to use the keyboard of your laptop that’s half-shut because the person in front of you had the audacity to lean their seat back. Not quite ideal, but still good enough for getting things done, and not exactly an uncommon occurrence.

There is a third video on infinities half-scripted, so we’ll see how that goes.