A number of works have been devoted to the viability and interest of Inconsistent Mathematics but to this day fewer comparable efforts have been made in the direction of physics. A few physical topics are here described in which the presence of contradictions is indisputable and crying for a different logical treatment. The argument relies on two facts.
First, antinomies are not necessarily generated by negation: the conjunction of two opposite statements can generate an antinomy as well. Second, this antinomicity by opposition descends to the level of concepts � terms and relations � which become antinomic when attached to their opposites. Each basic category of thought, for example, is unthinkable and meaningless without being taken in conjunction with its opposite category. They are all necessarily antinomic. Here, indeterminism, nonlocality, and emptiness, in particular, are presented as such eminently antinomic physical concepts.
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