iiinova — where your digital self keeps evolving

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Andrew S. 🇪🇺 🇺🇦 🇨🇦 🌈 🏳️‍⚧️ @parallax2112.bsky.social · 06/08/2026

Which is why I got thrown out of Hilbert's Hotel. @martynplummer.bsky.social. www.britannica.com/science/Hilb...

Infinite Hotel Paradox | Mathematics, Finite Set, Infinite Set, & Infinity | Britannica

The Infinite Hotel Paradox is a thought experiment that shows how infinity can be full and yet still have space for more—a simple introduction to a famous mathematical idea.

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Martyn Plummer @martynplummer.bsky.social · 06/08/2026

Confusingly, some infinities are bigger than others. There are more real numbers than natural numbers even though both are infinite sets. We don’t know if there is a third kind of infinity somewhere between those two. It’s neither provable nor disprovable from the axioms of set theory.

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Andrew S. 🇪🇺 🇺🇦 🇨🇦 🌈 🏳️‍⚧️ @parallax2112.bsky.social · 06/08/2026

Brain melts down... Then, we get into the whole issue of whether maths is 'real', or just a human construct.

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