Extreme Physical Information
According to a theory developed by B. Roy Frieden, "physical information" can be defined to be the loss of Fisher information that is incurred during the observation of a "physical effect".
Frieden states, if the effect has an intrinsic information level J, and is observed with information level I, then the physical information is defined to be the difference I − J, which Frieden calls the information Lagrangian. Frieden's so-called principle of extreme physical information or EPI states that extremalizing I − J with respect to variation of the system probability amplitudes can be used the correct Lagrangians for most or even all physical theories.
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“I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”
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