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However, in one paragraph, Feynman is talking with some topology students about a riddle:

*The topology students: "You've got an orange, OK? Now you cut the orange into a finite number of pieces, put it back together, and it's as big as the sun. True or false?"*

"No holes?"

"No holes!"

"Impossible! There ain't no such a thing."

"Ha! We got him! Everybody gather around! It's So-and-so's theorem of immeasurable measure!"

Just when they think they've got me, I remind them, "But you said an orange! You can't cut the orange peel any thinner than the atoms."...

"No holes?"

"No holes!"

"Impossible! There ain't no such a thing."

"Ha! We got him! Everybody gather around! It's So-and-so's theorem of immeasurable measure!"

Just when they think they've got me, I remind them, "But you said an orange! You can't cut the orange peel any thinner than the atoms."...

I understood Feynman argument, but I didn't get the idea of the theorem of immeasurable measure. How can you get an orange as big as the sun?