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    For every proposition there is another proposition that i... — Carmelics
    Home/Philosophy of Language
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    Supports→There are false propositions

    For every proposition there is another proposition that is its propositional negation

    Philosophy of LanguageTruth & Knowledge
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    Philosophy of LanguageTruth & Knowledge

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    The propositional negation of a true proposition is a false propositionThere are false propositionsThere are true propositions

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    Related propositions within the same area of thought.
    The propositional negation of a true proposition is a false propositio...90%One and the same proposition cannot simultaneously be evidence for a h...83%From principle (ii), if a proposition is not known, then it is not tru...82%The principle of contradiction holds that the negation of a false prop...80%

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    The above derivation is an illustrative example of Bolzano’s importation of proof methods from mathematics — such as the methods of indirect proof and of mathematical induction — into philosophy. (For certain reservations concerning these methods cf. WL IV, 269–285.) Nevertheless, this alleged proof for the existence of a true proposition does not reach its goal for a simple reason: The proof is in no way peculiar for truths in the sense of true propositions as Bolzano needs to have it. If succe

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