A Transformative Intuitionist Logic for Examining Negation in Identity-Thinking

Australasian Journal of Logic 22 (4):438-474 (2025)
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Abstract

Negation often reinforces problematic habits of othering, but rethinking negation can make good on feminist hopes for logic as a transformative space for inclusion. As Plumwood argues in her 1993 paper, not all uses of negation in the context of social identity are inherently problematic, but the widespread implicit use of classical negation has limited our options with respect to representing difference, ultimately reinforcing dualisms that essentialize social differences in problematic ways. In response to these limitations, I take inspiration from Dembroff’s recent work on the metaphysics of genderqueer identity to build models of social identity using the Heyting-Brouwer logic developed by Rauszer in 1974. Ultimately, I argue that these models demonstrate both how classical negation reinforces problematic habits of othering and how alternative forms of negation can transform our treatment of social identity altogether.

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Rebecca "Becca" Kosten
University of Minnesota

References found in this work

An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Bulletin of Symbolic Logic 14 (4):544-545.
Beyond Binary: Genderqueer as Critical Gender Kind [Chinese].Robin Dembroff - 2020 - Philosophers' Imprint 20 (9):1-23. Translated by Zhuanxu Xu.
The politics of reason: Towards a feminist logic.Val Plumwood - 1993 - Australasian Journal of Philosophy 71 (4):436 – 462.

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