Sentence examples for explanation of logic from inspiring English sources

The emphasis is on (the history of) Brouwer's explanation of logic within the framework of intuitionistic mathematics, and on (the history of) its codification in Heyting's Proof Interpretation.

(Note that neither Heyting nor Kolmogorov ever justified Ex Falso by giving the traditional argument (based on the disjunctive syllogism) also stated in Glivenko's paper from 1929 (see section 4.3 above).) More generally, the explanation of logic in Heyting 1934 is for the most part given Kolmogorov style, and not Heyting's own in terms of intentions and their fulfillment.

For amid the explanations of logic gates, the genius of the grammarian Panini and his Sanskrit rule book, and the beautiful poems of Shilabhattarika, lie truths those within the tech industries would do well to heed.

"Intuitionistic logic is therefore a 'calculus of intentions'".[34] However, a complication for the identification of Heyting's and Kolmogorov's explanations of logic is introduced by Kolmogorov's also accepting, in a particular case, solutions that do not consist in a carrying out a concrete construction.

In order to finalize that decision, I wrote down a detailed explanation of my logic.

Clearly, then, further work needed to be done on the explanation of intuitionistic logic.

For this reason, "Proof Interpretation" seems to be a more appropriate name for an explanation of Brouwerian logic than "BHK Interpretation".

Yet none of the papers by Kolmogorov, Heyting, and Glivenko just mentioned made an explicit contribution to the meaning explanation of intuitionistic logic.

The comic's final page contains Tagame's science-fiction explanation of the logic behind the minotaur's reproductive cycle.

For an explanation of the logic of this experimental design, see the Methods.

Part Two offers a detailed explanation of the logic of food as a determinant of gene expression in nutritional epigenetics and epidemiology.