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Realize that all statements made in a logical proof will end up becoming a logically-equivalent statement (or a statement that is always assumed to be true no matter what condition it ends up being at the end).
"There's something wonderful about logical proof," she enthuses.
Faith is defined as "belief that does not rest on logical proof or material evidence" — but science demands nothing less than logical proof.
"How could you, a mathematician devoted to reason and logical proof. . .
Dodgson's last work was an elegant, incomplete logical proof of the impossibility of the doctrine of hell.
The new experimental natural philosophy of the later 17th century was associated with this more modest ambition, one that did not insist on logical proof.
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Finally, our logical proofs demonstrate security when an unbounded number of sessions are executed in parallel.
Evolution, in Dawkins's view, is a concept as bulletproof as a mathematical theorem, even though it can't be proved by rigorous logical proofs.
He employs formal logical proofs to engage other players in debates about beating mentally disabled children to create more space in schools and about raping women.
Called the General Problem Solver, it could find solutions to a wide range of fairly structured problems, such as logical proofs and mathematical word problems.
The second is that all mathematical proofs can be recast as logical proofs or, in other words, that the theorems of mathematics constitute a proper subset of the theorems of logic.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com