SMRTR Science & EngineeringFeb 23, 2026Quanta Magazine

How Can Infinity Come in Many Sizes?

SMRTR summary

Human intuition struggles to comprehend infinity, particularly the counterintuitive mathematical concept that some infinities are actually larger than others. This challenges our natural understanding of endlessness, as mathematicians have discovered that infinite sets can vary dramatically in size, creating a hierarchy of different infinities that defies common sense expectations about limitless quantities.

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