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[Generally], a proposition is a statement, a sentence that makes a claim such as "This water tastes bad." There are four kinds of propositions, labeled A, E, I, and O. An 'A' proposition claims that "All A are P." An 'E' proposition claims that "No A are P." An 'I' proposition claims that "Some A are P." An 'O' proposition claims that "Some A are not P." Propositions are used in everyday language. A simple sentence can be a proposition. A proposition is labeled for the purpose of determining its [validity], its truthfulness, against other statements in logical arguments when compared to other statements in that argument. "This water tastes bad" would be an example of an 'A' proposition, because [the speaker] is including all of 'this' water in his claim.
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