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Against Williamson's Arguments about Bivalence

CHEN Bo;Department of Philosophy,Peking University;  
In the study of vagueness and sorites paradoxes,Williamson constructs three arguments(DBAs for short)to show that the denial of bivalence reduces to "absurdity",viz.logical contradiction.This paper will argue for two claims about DBAs:(1)In a well-designed and well-justifiable non-bivalent logic,the denial of bivalence will not generate contradiction;(2)In Williamson;s arguments,DBAs have some steps of inference that are valid only in classic logic,but not in some non-bivalent logics,and they make use of Tarskian Schemes"T"without quotation marks which presuppose the principle of bivalence.Finally,justify and defend the basic ideas underlying its arguments against DBAs.
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