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.
Twelve Feminists and Philosophy
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.
De-centering and Genderqueering Val Plumwood’s Feminist Logic
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.
Feminist Readings of Aristotelian Logic
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.
Social Spheres: Logic, Ranking, and Subordination
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.
Feminist Readings of Aristotelian Logic
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.
Democratizing Citizenship: Some Advantages of a Basic Income
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.
The Role of Solitude in the Politics of Sociability
This chapter explores a so-far neglected way of avoiding the bads of loneliness: by learning to value solitude, where that is understood as a state of ‘keeping oneself company’, as J. David Velleman puts it. Unlike loneliness, solitude need not involve any deprivation, whether subjective or objective. This chapter considers the various goods to which solitude is constitutive or instrumental, with a focus on the promise that proper valuing of solitude holds for combating loneliness. The overall argument is this: If loneliness significantly detracts from individual wellbeing, and if the ability to value solitude protects against loneliness, then such an ability is obviously valuable to human flourishing. If, further, loneliness raises concerns of justice, then supporting people’s ability to value solitude is a way to implement a desideratum of justice. Individuals can cultivate their ability to value solitude, an ability that others can promote or hinder.
Freedom of Association: It’s Not What You Think
This article shows that associative freedom is not what we tend to thinkit is. Contrary to standard liberal thinking, it is neither a general moral permissionto choose the society most acceptable to us nor a content-insensitive claim-rightakin to the other personal freedoms with which it is usually lumped such asfreedom of expression and freedom of religion. It is at most (i) a highly restrictedmoral permission to associate subject to constraints of consent, necessity andburdensomeness; (ii) a conditional moral permission not to associate provided ourassociative contributions are not required; and (iii) a highly constrained, contentsensitive moral claim-right that protects only those wrongful associations thathonour other legitimate concerns such as consent, need, harm and respect. Thisarticle also shows that associative freedom is not as valuable as we tend to think itis. It is secondary to positive associative claim-rights that protect our fundamentalsocial needs and are pre-conditions for any associative control worth the name.
Will a Basic Income Do Justice to Women?
This article addresses the question whether a basic income will be a just social policy for women. The implementation of a basic income will have different effects for different groups of women, some of them clearly positive, some of them negative. The real issues that concern feminist critics of a basic income are the gender-related constraints on choices and the current gender division of labour, which are arguably both playing at the disadvantage of women. It is argued that those issues are not adequately addressed by a basic income proposal alone, and therefore basic income has to be part of a larger packet of social policy measures if it wants to maximise real freedom for all.