Q&A: Banach–Tarski
Originally published:
This is an English translation (via GPT-5.4). Read the original Hebrew version.
Banach–Tarski
Question
What’s the story with the above paradox?
I tried a long time ago to understand it and couldn’t, and yet I’m convinced it’s a logical game that misses something basic.
Is my intuition right, or am I the one missing something? And if I understand it correctly, will I see that there really is a paradox?
And if there is, what is the solution?
Answer
It’s not a paradox but rather something strange, so it doesn’t need a solution. But I’m not sufficiently familiar with it, and this isn’t the place to elaborate on it.