You ask for a Banach Tarski Explanation

Sarah begins explaining how using some math trick she could sample different parts of her dead hamster Dini and create another identical living Dini. Without going into all the proofs she was working through; Sarah brings up an animation of a chocolate bar being sliced in a certain way and rearranged to create the same chocolate bar with a new segment creating infinite chocolate.

“It’s an old trick of a paradoxical decomposition. I learned about it from class and I think I can do it. When you think about it, Dini is a lot like a sphere we can sample from. If we rearrange the sampling of Dini and re-attach each Dini element on the other side of this 3D printer, we’ll have a new Dini in no time with the same feelings, the same emotions, the same everything!” Sarah explained further.

What do you do?

I think I get the concept, but I think I may need a further look at the math, there’s got to be a vSauce video on this or something.

I don’t think that’ll work on anything other than a sphere that can be sampled an infinite number of times. That’s stupid, don’t do that!

That sounds really tough and not quite the right application of that paradox, could you explain how you plan on doing that?

Help Sarah.

Published by B McGraw

B McGraw has lived a long and successful professional life as a software developer and researcher. After completing his BS in spaghetti coding at the department of the dark arts at Cranberry Lemon in 2005 he wasted no time in getting a masters in debugging by print statement in 2008 and obtaining his PhD with research in screwing up repos on Github in 2014. That's when he could finally get paid. In 2018 B McGraw finally made the big step of defaulting on his student loans and began advancing his career by adding his name on other people's research papers after finding one grammatical mistake in the Peer Review process.

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