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The square root of two cannot be represented exactly in a finite decimal representation, but there are other ways to represent it exactly in finite space. We bo
by daveFNbuck 8y ago
The square root of two cannot be represented exactly in a finite decimal representation, but there are other ways to represent it exactly in finite space. We both know precisely which number we're talking about, despite using computers to represent it.
- SilasX 8y agoBut "exactly representing it" just cashes out as "being able to answer questions to arbitrary precision about its value", and yep, TMs can do that do that, in finite space.