AI Summary

William Chan of TU Wien proposes a new way to compare infinite sizes by dropping the assumption that all infinities must lie on a single linear hierarchy. Instead, he arranges them on a two‑dimensional grid. In this system the usual paradoxes that arise when trying to order every pair of infinities vanish. The result is a simple, two‑dimensional map that shows how different infinite quantities relate to one another. This approach offers a fresh perspective on a long‑standing mathematical problem.

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