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(Necessitation-T) embodies the doctrine that it is both necessary and sufficient for being a truth-maker that a thing necessitates the truth it makes true.
Call this the grounding account of truthmaking.[30] According to truthmaker necessitarianism, the existence of the truthmaker necessitates the truth of the sentence: any possible world in which the truthmaker exists is a world in which the sentence is true.
But that fateful kiss does fall within the generic reference of the judgement that John is kissing Mary and necessitates the truth of that judgement; so the kiss is a truth-maker for it.
But (1) just is the claim that it is necessary, and (2) just the claim that it is sufficient for being a truth-maker that a thing necessitates the truth it makes true.
Now consider the essential predication, 'God is omniscient.' Given that a truthmaker of a truth t is an entity whose existence broadly logically necessitates the truth of t, God himself is plausibly viewed as the truthmaker of 'God is omniscient' and like essential predications.
This gives us some insight into the otherwise puzzling assumption made by Hochberg and Armstrong that truth-makers are entities the existence of which necessitates the truth of the statements they make true; if they didn't they would fail to be the consummate explainers truth-makers are supposed to be.
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Armstrong concludes that a truth-maker for a truth must necessitate the truth in question.
And in response to (iv), one may deny that the physical truths metaphysically necessitate the mental truths (Chalmers 1996), or one may hold that the mental truths can be derived from the physical ones by a priori reasoning (Jackson 1998).
It is not plausible that there is a special form of necessity that attaches to all and only the propositions necessitated by the truths in the book.
These first, self-evident principles are related to the conclusions of science as axioms are related to theorems: the axioms both necessitate and explain the truths that constitute a science.
In each syllogism, the premises not only logically necessitate the conclusion (i.e., the truth of the premises makes it logically impossible for the conclusion to be false) but causally explain it as well.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com