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The Judgement-Stroke As A Truth-Operator: A New Interpretation Of The Logical Form Of Sentences In Frege's Scientific Language
Authors:D. Greimann
Affiliation:(1) Institut Fuer Philosophie, Ludwig-Maximilians-Universitaet, Geschwister-Scholl-Platz 1, 80539 Muenchen, Germany
Abstract:The syntax of Frege's scientific language iscommonly taken to be characterized by two oddities:the representation of the intended illocutionary roleof sentences by a special sign, the judgement-stroke,and the treatment of sentences as a species ofsingular terms. In this paper, an alternative view isdefended. The main theses are: (i) the syntax ofFrege's scientific language aims at an explication ofthe logical form of judgements; (ii) thejudgement-stroke is, therefore, a truth-operator, nota pragmatic operator; (iii) in Frege's first system,`vdash Delta' expresses that the circumstanceDelta is a fact, and in his second system that thetruth-value -Delta is the True; (iv) in bothsystems, the judgement-stroke is construed as a signsui generis, not as a genuine predicate; (v) itscounterpart in natural language is the syntactic ``formof assertoric sentences', not the (redundant)truth-predicate; (vi) neither in Frege's first nor inhis second system sentences are treated as singular terms.
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