concept
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concept:information-increase-in-computationinformation increase in computation
The puzzle that computation appears to gain information despite logical closure; resolved by relative to subsystems/observers.
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Papers (1)
paper
- Information, Processes and Gamesmentions
Related by similarity (8)
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- Fundamental puzzle motivating the paper: how can computation produce new information when output is logically implied by input and thermodynamics suggests information cannot increase?
- Author's proposed resolution to the information increase paradox: computation gains utility through extraction and filtering, not creation of logically new content.
- Extension of information dynamics: direction of information increase (e.g., forward multiplication vs. reverse factorization) depends on observer's goals.
- The author argues that while total system information is conserved (thermodynamic), computation gains information for the observer by making implicit information explicit and discarding irrelevant data.
- The direction of information increase is relative to the observer or user of the computationclaim0.812Example: 3×5→15 is a natural computation, but 15→3×5 (prime factorization) is also useful, showing that the 'gain' depends on the choice of normal form.
- Reduction in uncertainty about hidden states or parameters, driving exploration.