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I evigheten

I matematiken kan en oändlighet innefatta oräkneliga oändligheter. Oändlighetens matematik har ändrat utgången av ett världskrig och lett fram till datorns födelse.

The Infinite Hotel Paradox – Jeff Dekofsky

The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it’s completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert’s paradox. Lesson by Jeff Dekofsky, animation by The Moving Company Animation Studio.

The Banach–Tarski Paradox

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The Opposite of Infinity – Numberphile

Continuing to talk Infinitesimals, this time with Dr James Grime.

Hilbert’s Curve: Is infinite math useful?

Space-filling curves, and the connection between infinite and finite math.