Sentence examples for purely truth from inspiring English sources

This is not surprising, from a logical point of view, since extensional logic is purely truth functional, where the truth value of molecular sentences is a function of the truth values of its atomic constituents.

Abelard was the greatest logician since Antiquity: he devised a purely truth-functional propositional logic, recognizing the distinction between force and content we associate with Frege, and worked out a complete theory of entailment as it functions in argument (which we now take as the theory of logical consequence).

Likewise, the distinction allows Abelard to define negation, and other propositional connectives, purely truth-functionally in terms of content, so that negation, for instance, is treated as follows: not-p is false/true if and only if p is true/false.

Neat distinctions between strictly truth-conducive and purely cognitive scientific values are hard to come by (see Douglas 2013 for a classification attempt).

The first question arises because Hume's Principle doesn't seem to be a purely analytic truth of logic; if neither Hume's Principle nor the existential claim that numbers exist is analytically true, by what faculty do we come to know (the truth of) the existential claim?

Even if miraculously"—putting two and three objects together should on some occasion yield six objects, this would be a fascinating feature of those objects, but it would not in the least tend to refute the purely definitional truths of arithmetic.

Thus Bolzano, in line with his interpretation of Aristotle mentioned above, characterizes necessary propositions as those whose negation is incompatible with purely general truths (see Bolzano 1837, §119).

Second, to call into question the MS is not to call into question the body of purely analytical truths, known as theoretical population genetics, with which the MS is commonly confused.