[Logic by Carveth Read]@TWC D-Link book
Logic

CHAPTER V
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Propositions not thus qualified are called Pure.
Modal propositions have had a long and eventful history, but they have not been found tractable by the resources of ordinary Logic, and are now generally neglected by the authors of text-books.

No doubt such propositions are the commonest in ordinary discourse, and in some rough way we combine them and draw inferences from them.

It is understood that a combination of assertory or of apodeictic premises may warrant an assertory or an apodeictic conclusion; but that if we combine either of these with a problematic premise our conclusion becomes problematic; whilst the combination of two problematic premises gives a conclusion less certain than either.

But if we ask 'How much less certain ?' there is no answer.

That the modality of a conclusion follows the less certain of the premises combined, is inadequate for scientific guidance; so that, as Deductive Logic can get no farther than this, it has abandoned the discussion of Modals.


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