You, a grown adult knows that a hamster or any normal living being cannot be sampled an infinitely amount of times like perfect mathematical spheres, you explain.
“I imagine, you would be able to sample Dini sure, and maybe make a replica of Dini, but wouldn’t that make Dini half the size? Eventually you’d have to stop at the atomic level, probably cellular level with the printer. I did not discuss this with you when we moved in, but I have a strict No splitting the atom rule in this apartment,” you state.
“Honey, I know we never explicitly discussed it, but we both know Dini could stand to lose some weight. He’s got some atoms to spare.”
She had you there, Dini was a big hamster, he could probably be halved a few times before he starts to have heart problems. So that didn’t work, what do you do now?
Dini cannot be Paradoxically decomposed when he is already normally decomposing
The Axiom of choice is a bad assumption?
The Banach Tarski paradox only works on spheres, the transforms don’t work on hamster shapes