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Notion of calculability:

A function of positive integers is calculable only if recursive.

Calculable function ( in a objective meaning) as used in Church-Turing Thesis http://plato.stanford.edu/entries/church-turing/

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Notion of calculabilityas notion used in Church-Turing Thesis:

A function of positive integers is effectively calculable only if recursive.

Calculable function ( in a objective meaning) as used in Church-Turing Thesis http://plato.stanford.edu/entries/church-turing/

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Notion of calculability as notion used in Church-Turing Thesis:

A function of positive integers is effectively calculable only if recursive.

Calculable function ( in a objective meaning) as used in Church-Turing Thesis http://plato.stanford.edu/entries/church-turing/