Mathematical proof
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A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established sta
P. Oxy. 29, one of the oldest surviving fragments of Euclid's Elements, a textbook used for millennia to teach proof-writing techniques. The diagram accompanies Book II, Proposition 5.
Proposition
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Propositions are the meanings of declarative sentences, objects of beliefs, and bearers of truth values. They explain how different sentences, such as the English "Snow is white" and the German "Schne
Mathematical proof
…A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems…
According to Bertrand Russell, propositions are structured entities, composed of individuals and concepts.
Gottlob Frege argued that propositions are abstract objects, existing independently of mental and linguistic activities.
William of Ockham understood propositions as psychological representations formulated in a mental language.
John Locke saw mental propositions as the primary truth-bearers and the meanings of verbal propositions.