SMRTR Science & EngineeringAug 4, 2025Scientific American

What if Infinity Didn’t Exist?

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The infinity debate persists in mathematics and physics. Georg Cantor's set theory established different sizes of infinities, forming the basis of modern mathematics. However, finitists reject infinity, arguing that mathematics should reflect our seemingly finite universe, avoiding paradoxes like Banach-Tarski sphere duplication. Physicist Nicolas Gisin proposes that finite mathematics might better describe our universe and address fundamental questions. This philosophical divide over infinity's existence may open new mathematical frontiers.

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