HOW BIG IS FOREVER?

Infinity, Scale & Giant Numbers

Why enormous magnification is still finite and why some infinities are larger than others.

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Infinity, Scale & Giant Numbers fractal artwork — Original Fractal Trip procedural render

HOW BIG IS FOREVER?

Infinity is not a giant number

10²⁵⁰⁰⁰⁶ is finite. No finite tower of ordinary numbers becomes infinity. A fractal can be defined at arbitrarily fine scales even though every rendered image is finite.

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Some infinities are larger

Natural numbers are countably infinite. Real numbers are uncountable: Cantor’s diagonal argument proves they cannot be completely listed one-to-one with the integers.