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Is There A Logic of the Ineffable? Or, How Is it Possible to Talk About the Unsayable?

Palmquist, Stephen R. · 2017
PhilArchive · Papers · 2017
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philosophy
This chapter defends a single, fixed, definite answer to the question: Is there a logic that governs the unsayable? The proposed answer is: “Yes, and no. Or yes-but-not-yes. And/or yes-no.” Each component of this answer is examined and used to generate three laws of what I call “synthetic logic”, which correspond directly to the laws of classical (Aristotelian) logic: the law of contradiction (“A=-A”), the law of non-identity (“A≠A”), and the law of the included middle (“-(Av-A)”). We can talk about the unsayable only by assuming that propositions constructed in accordance with these three alternative logical laws can be meaningful.
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