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    The theory of recursively enumerable sets admits a primar... — Carmelics
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    Supports→Among the unsolvable decision problems of recursively enumerable sets, there is a highest degree of unsolvability.

    The theory of recursively enumerable sets admits a primary problem of determining degrees of unsolvability of their unsolvable decision problems.

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    Among the unsolvable decision problems of recursively enumerable sets, there is ...The structure of reducibility among these problems yields at least one problem t...

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    Related propositions within the same area of thought.
    Among the unsolvable decision problems of recursively enumerable sets,...93%The set of validities of XL is recursively enumerable75%The formal-theory obstacle requires that the axiom enumeration be recu...75%The Continuum Hypothesis is a solved problem in set theory.74%

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    Related to the question of solvability or unsolvability of problems is that of the reducibility or non-reducibility of one problem to another. Thus, if problem \(P_1\) has been reduced to problem \(P_2\), a solution of \(P_2\) immediately yields a solution of \(P_1\), while if \(P_1\) is proved to be unsolvable, \(P_2\) must also be unsolvable. For unsolvable problems the concept of reducibility leads to the concept of degree of unsolvability, two unsolvable problems being of the same degree of

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