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The assumption that degrees of belief satisfy the probability laws implies omniscience about deductive logic, because the probability laws require that all deductive logical truths have probability one, all deductive inconsistencies have probability zero, and the probability of any conjunction of sentences be no greater than any of its deductive consequences.
Similar(59)
The property of being both square and not square (or any other conjunction of contradictory properties) determines the empty set, and so on.
Such a conjunction of factors did not take place at any other point in the twentieth century.
After all, a conjunction of tautologies is itself a tautology and the negation of any tautology is a contradiction.
A board of inquiry established a conjunction of unfortunate coincidences.
He's a great writer, but it's a conjunction of luck, talent, and the moment.
THEATER is a group effort, a conjunction of an idea, a writer and actors, she said.
They are a conjunction of cosmic fantasies, tough realities and dramatic exaggerations.
She says her work arises from a conjunction of humor, language, and emotional difficulty.
Similarly, some neurons of the medial entorhinal cortex exhibit a conjunction of HD and grid signals29,32.
Everything is a picture, even if it is only a conjunction of stripes, lozenges or rectangles.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com