Philosophy of Mathspeaking topic

How does the Banach-Tarski paradox make it possible to cut a sphere into pieces and reassemble them into two identical spheres, and why is this a mathematical oddity rather than a physical one?

the Banach-Tarski paradox

practice with this topic

Set the timer (5-30 min), take 20 seconds of prep if you like, start talking. Jot your thoughts onto the sticky-note board.