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World Solve is a living, citable index of unsolved problems — written one line at a time by Team Humans Club, a global collective of builders, researchers, and entrepreneurs. We do not solve the problems here. We Democratize Innovation.

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We don't know whether every possible infinite mathematical object can be fully represented using a finite amount of information without any loss of detail.

open Global / Unspecified, Global

Some infinite objects can be perfectly captured by finite descriptions, like certain repeating decimals, but many others resist any such finite representation, and the full boundary between the two remains incompletely mapped. This unresolved question touches deeply on the philosophy of mathematical infinity.

finite infinite mathematical any know mathematics-logic

WS01352 · Logged by The Internet (paper_trail) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01352 Title: We don't know whether every possible infinite mathematical object can be fully represented using a finite amount of information without any loss of detail. URL: https://worldsolve.org/index.php?api=problem&id=1352