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.

Abstract: This chapter reviews the book A Mind of One's Own: Feminist Essays on Reason and Objectivity (1993), by Louise B. Antony and Charlotte Witt. The appeal to reason and objectivity amounts to a request that the observer refuses to be intimidated by habit, and look for cogent arguments based on evidence that has been carefully sifted for bias. In our own society the arguments of feminists make such appeals to reason and objectivity all the time, and in a manner that closely resembles Platonic arguments. And yet today reason and objectivity are on the defensive in some feminist circles. We are frequently told that reason and objectivity are norms created by "patriarchy," and that to appeal to them is to succumb to the blandishments of the oppressor. We are told that systems of reasoning are systems of domination, and that to adopt the traditional one is thus to be co-opted. A Mind of One's Own is a collection of essays by women who are prominent in philosophy today and who wish to confront recent feminist criticisms of philosophy. Most of the contributors are under fifty and widely respected; most grew up with strong political ties to feminism.

Abstract: The strongest and, until recently, least-explored approach to feminist logic holds that some formal logics have structural features that perpetuate sexism and oppression, whereas other logics are helpful for resisting and opposing these social phenomena. Our choice of logics may not be purely formal on this view: for example, some logics are preferrable to others on the grounds of feminist commitments. This strong account of feminist logic was first articulated by Val Plumwood. We will critically engage salient features of her view, especially her critique of classical logic and the centering and dominating functions she believes classical negation has. We will see that her understanding of classical negation captures neither the development of Intersectional Feminism, nor the position the concept of centering holds in transformative justice. However, Plumwood's critique of classical negation does lead us to a deeper insight regarding which logics to apply in social justice contexts. Robin Dembroff's analysis of genderqueer as a critical gender kind helps us delineate a non-classical context in which a four-valued logic, such as FDE, can structurally account for the critical feature of this gender kind in a way classical logic cannot. We will also observe how four-valued logics precisely capture the destabilization of, and resistance to, the exclusive and exhaustive gender binary categories Dembroff describes.

Abstract: I propose a model on which epistemic frameworks are understood in terms of not only beliefs, but also sets of evidential support relations. We are generally responsive to multiple frameworks, some more compatible than others.The model allows for prioritizing certain frameworks by drawing on van Benthem and Pacuit's work on logics for evidence-based belief. This prioritization allows us to capture the idea that some epistemic frameworks are "held come what may" with nuance and complexity.

Abstract:

Hass examines chapters devoted to Aristotle in a recent, prominent, and controversial feminist critique of logic, Andrea Nye's Words of Power: A Feminist Reading of the History of Logic. Hass shows that Nye's criticisms of logic in general and of Aristotle in particular are misplaced. What is crucial in Nye's attack are alleged problems caused by overzealous "abstraction." But Hass argues that abstraction is not problematic; instead, it is crucial (and empowering) for feminist political theory. Although she rejects Nye's form of feminist logic critique, Hass finds more that is worthwhile in the criticisms of logic advanced by Luce lrigaray and Val Plumwood. These thinkers call for feminist alternatives to what has come to be standard deductive logic - and interestingly enough, their call is echoed in other contemporary criticisms from within the field of logic itself, for example, from intuitionist or entailment logics. The logical schemes envisaged by lrigaray and Plumwood would encompass more situated and fluid ways of using formal systems to describe and analyse reality and diverse experiences. Hass argues that, in Aristotle's case, we can glimpse something of such an alternative by looking to his account of negation, which is richer and more complex than that allowed by most contemporary formal systems.

Abstract:

This paper uses logic - a formal language with models and a consequence relation - to think about the social and political topics of subordination and subordinative speech. I take subordination to be a matter of three things: i) ranking one person or a group of people below others, ii) depriving the lower-ranked of rights, and iii) permitting others to discriminate against them. Subordinative speech is speech - utterances in contexts - which subordinates. Section 1 introduces the topic of subordination using examples from the 1979 novel Kindred by Octavia Butler. Section 2 uses these examples to clarify and illustrate the definitions of subordination and subordinative speech. Sections 3 and 4 then develop a way of modeling subordination using a system of social spheres, an adaptation of (Lewis, 1973)'s approach to modeling the relation of comparative similarity on worlds for counterfactuals. Section 4 looks at three possible applications for this work: giving truth-conditions for social quantifiers, identifying fallacies involving such expressions, and explaining the pragmatics of subordinative speech. The last section anticipates objections and raises further questions.

Abstract: Rationality and reason are topics so fraught for feminists that any useful reflection on them requires some prior exploration of the difficulties they have caused. One of those difficulties for feminists and, I suspect, for others in the margins of modernity, is the rhetoric of reason - the ways reason is bandied about as a qualification differentially bestowed on different types of person. Rhetorically, it functions in different ways depending on whether it is being denied or affirmed. In this paper, I want to explore these rhetorics of reason as they are considered in the work of two feminist philosophers. I shall draw on their work for some suggestions about how to think about rationality, and begin to use those suggestions to develop a constructive account that withstands the rhetorical temptations.

Abstract: Hass examines chapters devoted to Aristotle in a recent, prominent, and controversial feminist critique of logic, Andrea Nye's Words of Power: A Feminist Reading of the History of Logic. Hass shows that Nye's criticisms of logic in general and of Aristotle in particular are misplaced. What is crucial in Nye's attack are alleged problems caused by overzealous "abstraction." But Hass argues that abstraction is not problematic; instead, it is crucial (and empowering) for feminist political theory. Although she rejects Nye's form of feminist logic critique, Hass finds more that is worthwhile in the criticisms of logic advanced by Luce lrigaray and Val Plumwood. These thinkers call for feminist alternatives to what has come to be standard deductive logic - and interestingly enough, their call is echoed in other contemporary criticisms from within the field of logic itself, for example, from intuitionist or entailment logics. The logical schemes envisaged by lrigaray and Plumwood would encompass more situated and fluid ways of using formal systems to describe and analyse reality and diverse experiences. Hass argues that, in Aristotle's case, we can glimpse something of such an alternative by looking to his account of negation, which is richer and more complex than that allowed by most contemporary formal systems.

Abstract:

If the focus of interest is democratization, including women’s freedom, a basic income is preferable to stakeholding. Prevailing theoretical approaches and conceptions of individual freedom, free-riding seen as a problem of men’s employment, and neglect of feminist insights obscure the democratic potential of a basic income. An argument in terms of individual freedom as self-government, a basic income as a democratic right, and the importance of the opportunity not to be employed shows how a basic income can help break both the link between income and employment and the mutual reinforcement of the institutions of marriage, employment, and citizenship.

Abstract:

How can we justify partiality to those near to us, such as our own families, friends, neighbours and colleagues, when we could act in much more morally valuable ways by helping others who are merely distant from us? In 1972 Peter Singer used two now-famous examples, Pond and Overseas, to challenge our complacent partiality. The charge of neglect of an obvious moral duty to meet distant grave needs is refined and developed by Peter Unger(1996).

Although Singer is a consequentialist, he intends the problem of distance to challenge all moral thinkers irrespective of their theoretical commitments. Singer's challenge has somehow to be met, and this is what discussions of the problem of distance in contemporary analytic philosophy attempt to do. To solve the problem, we have to reject
or modify impartialism or partialism.