But it does not fit into Heyting's original interpretation of logic in terms of intentions directed at constructions and the fulfillment of such intentions either.
In such cases the Latin is often artificial enough so that one must rely quite determinedly on the explicit rules for its interpretation within logic, ignoring linguistic intuition, to follow what is intended.
The bulk of the argument is addressed toward the views of philosophical opponents within in his own larger Buddhist camp that he feels have made errors in interpretation and logic.
And he even adds the remark "that, with this dialogue interpretation, Łukasiewicz logic is exactly appropriate for the formulation of the 'fuzzy set theory' first described by L.A. Zadeh (1965); indeed, it is not too much to claim that \(\rL_{\infty}\) is related to fuzzy set theory exactly as classical logic is related to ordinary set theory".
Realizability interpretations of logics are given by saying what it means for computational objects of some kind to realize, logical formulae.
Such pronouncements have been taken to imply the free-thinking bloggers brought the attacks on themselves, a disturbing interpretation whose twisted logic is challenged in a highly critical preliminary report by the UN's special rapporteur on freedom of religion or belief, Heiner Bielefeldt, who visited Bangladesh earlier this month.
They are neuro-fuzzy identifiers that offer a dual interpretation, as fuzzy logic systems or neural networks.
Another difficult problem came from various special fields and concerned the reistic interpretation of mathematics, logic, semantics, psychology sociology and the humanities.
It forms a semantic interpretation of the logic elements, while ensuring the integrity (holistic and entanglement) of the coverage of the phenomenon under investigation.
In the late thirties, at least from 1938 on, he developed as a response to Gentzen's proof his own special interpretation of intuitionistic logic and arithmetic, what came to be known as the Dialectica interpretation.
