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Mangraviti, Franci. The Liberation Argument for Inconsistent Mathematics
2023, The Australasian Journal of Logic, 20 (2): 278-317

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Added by: Franci Mangraviti and Viviane Fairbank
Abstract:
Val Plumwood charged classical logic not only with the invalidity of some of its laws, but also with the support of systemic oppression through naturalization of the logical structure of dualisms. In this paper I show that the latter charge - unlike the former - can be carried over to classical mathematics, and I propose a new conception of inconsistent mathematics - queer incomaths - as a liberatory activity meant to undermine said naturalization.
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Nida-Rümelin, Martine. The experience property framework: a misleading paradigm
2018, Synthese 195 (8):3361-3387.

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Added by: Clotilde Torregrossa, Contributed by: Nora Heinzelmann
Abstract: According to the experience property framework qualia are properties of experiences the subject undergoing the experience is aware of. A phenomenological argument against this framework is developed and a few mistakes invited by the framework are described. An alternative to the framework, the framework of experiential properties is presented and defended as preferable. It is argued that the choice between these two frameworks makes a substantial difference for theoretical purposes.
Comment: This is a stub entry. Please add your comments below to help us expand it
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Plumwood, Val. The Politics of Reason: Towards a Feminist Logic
1993, Australasian Journal of Philosophy, 71(4): 436-462
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Added by: Franci Mangraviti
Abstract:

The author argues that there is a strong connection between the dualisms that have strengthened and naturalized systematic oppression across history (man/woman, reason/emotion, etc.), and "classical" logic. It is suggested that feminism's response should not be to abandon logic altogether, but rather to focus on the development of alternative, less oppressive forms of rationality, of which relevant logics provide an example.

Comment (from this Blueprint): This is a seminal text of feminist logic, and thus a natural pick for any course wanting to discuss the topic. It could however also be assigned in a course on relevant logics interested in discussing particular applications, especially if such a course has previously spent time on the arguments in Plumwood's "False laws of logic" (or more generally, in Sylvan&co's "Relevant logics and their rivals"). Eckert and Donahue's "Towards a Feminist Logic" is a useful reading companion.
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Plumwood, Val. Feminism and the Logic of Alterity
2002, In Falmagne, R.J. and Hass, M. eds. Representing Reason: Feminist Theory and Formal Logic. Rowman & Littlefield
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Added by: Franci Mangraviti

Introduction: Plumwood’s second essay uses logical distinctions to map the difficult terrain of feminist theories of difference. By carefully distinguishing among forms of difference, Plumwood refutes attempts by some feminist theorists to identify dichotomous thinking with oppressive thinking.

Comment (from this Blueprint): Helpful in clarifying the views presented in Plumwood's "The politics of reason: towards a feminist logic". It is also a possible pick for any course interested in looking specifically at negation from feminist perspectives, in which case it is best paired with some of the feminist critiques of negation she challenges (e.g. Nancy Jay's "Gender and dichotomy", or Frye's "The necessity of differences").
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Waters, Anne. Language Matters: Nondiscrete Nonbinary Dualisms
2003, In Waters A., ed. American Indian Thought, pp.97-115.
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Added by: Franci Mangraviti

From the Introduction: "Anne Waters shows how nondiscrete nonbinary ontologies of being operate as background framework to some of America’s Indigenous languages. This background logic explains
why and how gender, for example, can be understood as a non-essentialized concept in
some Indigenous languages of the Americas. [...] The Indigenous understanding that all things interpenetrate and are relationally interdependent embraces a manifold of complexity, resembling a world of multifariously associated connections and intimate fusions Such a nondiscretely aggregate ontology ought not to be expected to easily give way to a metaphysics of a sharply defined discretely organized binary ontology. From an Indigenous ontology, some multigendered identities may be more kaleidoscopic and protean concepts than Euro-American culture has yet to imagine."

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