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    Mathematical Principles

    Mathematical principles

    principle of computational equivalence | principle of mathematical induction

    Statements

    The principle of computational equivalence states that systems found in the natural world can perform computations up to a maximal (

    The principle of mathematical induction states that the truth of an infinite sequence of propositions P_i for i = 1, ..., ∞ is established if (1) P_1 is true and (2) P_k implies P_(k + 1) for all k.

    Alternate description

    Almost all processes that are not obviously simple can be viewed as computations of equivalent sophistication.

    History

    | principle of computational equivalence | principle of mathematical induction formulation date | 2002 (23 years ago) | formulators | Stephen Wolfram | status | open | proved

    Common classes

    mathematical principles

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