How To Use Logical proof In A Sentence
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Researchers have produced human embryos containing DNA from three people, a biotechnological proof-of-principle with profound medical and ethical implications.
3-Parent Embryo | Impact Lab
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The camp provided the Germans tautological proof of the necessity of imprisoning Untermenschen: the disgusting state of the Haftlinge of Auschwitz demonstrated their inferiority and justified their murder.
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Various cases of supernumerary testicles have been reported during operations or in physical examination (without histological proof, however).
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The ontological and cosmological proofs are for those who wish to cleanse themselves of the "muddiness and accidentality" of the world.
William James, part 7: Agnosticism and the will to believe
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Anselm presented a ontological proof, which was re-emphasized by Descartes who, starting from first principles, proved the existence of God in a philosophical way.
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Hence the logical proof schema which enables you to deduce any proposition whatever from a contradiction cannot be applied.
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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 those of logic.