Sentence examples for whose negation from inspiring English sources
Shankara's metaphysics is based on a criterion of reality, which may be briefly formulated as follows: the real is that whose negation is not possible.
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).
The complete axiomatization of PDL is a recursive definition of the set of valid PDL formulas, or in other words, of the set of formulas whose negation is not satisfiable.
So let analytic propositions be those framework propositions whose negations are self-contradictory.
How was one now to explicate the idea that there can be non-analytic framework propositions (whose negations are not self-contradictory)?
But a dialetheist manifests her dialetheism in accepting, together with the LNC, sentences that are inconsistent with it, that is, true sentences whose negations are true: dialetheias.
Assuming that the notion of a logical truth is understood, then the logical necessities are simply the logical truths, so that the logical possibilities are those things whose negations are not logical truths.
By the strong inexpressibility of contradictory negation there is no single IFL sentence, not translatable into FO, whose contradictory negation has a truth-condition of that form.
Potential pressure points here include statements whose expression involves negation (see 1950a: 128 129, 129 fn.1), quantification (see 1962b: 144), or conditionals, and statements of necessary truths.
The text slides back and forth between verbal and nominal uses of zhi, all the while embedding them in complex strings of quantifiers and negations whose scope is often vague.
The Stranger solves the problem of not-being by recognizing two things: (1) the negation operates on the predicate, not the subject; (2) the negation need not specify the opposite of the item whose name is negated but only something different from it.
