Anti-exceptionalists about formal logic think that logic is continuous with the sciences. Many philosophers of science think that there is feminist science. Putting these two things together: can anti-exceptionalism make space for feminist logic? The answer depends on the details of the ways logic is like science and the ways science can be feminist. This paper wades into these details, examines five different approaches, and ultimately argues that anti-exceptionalism makes space for feminist logic in several different ways.
Feminism and the Logic of Alterity
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.
Language Matters: Nondiscrete Nonbinary Dualisms
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.”
Saying What It Is: Predicate Logic and Natural Kinds
From the Introduction: “Andrea Nye is also concerned with the role of logic in science, linking the adequacy of logic with its applicability in a domain of scientific knowledge. Nye argues that the dominant predicate logic cannot adequately represent the issues surrounding attempts to divide organisms into species. Feminist critiques of the extensional theory of meaning lay the ground for alternative theories of categorization. Without renewed models of categorization, Nye submits, science is in danger of becoming a self-enclosed “logical” system, rather than an instrumental model of reality.”
Fluid Thinking: Irigaray’s Critique of Formal Logic
From the Introduction: “Marjorie Hass addresses the limitations of logical concepts, including negation, by illuminating the ongoing critique of these terms in the work of Luce Irigaray. In Hass’s view, Irigaray’s work calls the neutrality of logic into question, suggesting that the standard formalism is capable of expressing only distorted and partial interpretations of negation, identity, and generality. More specifically, in Irigaray’s work, standard symbolic logic is shown to be unable to represent the form of difference proper to sexual difference, the form of identity proper to feminine identity, and the form of generality proper to a feminine generic. Hass interprets and evaluates Irigaray’s critique of logic, arguing that many of Irigaray’s readers have misunderstood its nature and force.”
Words of Power and the Logic of Sense
From the Introduction: “Dorothea Olkowski’s chapter offers an analysis of the need to develop a logic of sense. Drawing on the work of Gilles Deleuze, Olkowski defends formal logic against feminist theorists who have urged that we organize thinking around the principles of embodiment. She warns us against the complete merging of bodily functions and sense-making activities. In Olkowski’s view, feminists need to acknowledge the usefulness of logical analyses at the same time that they must insist on formal systems that reflect and are tempered by human and humane values.”
The Need for Roots: Prelude to a Declaration of Duties Towards Mankind
In The Need for Roots, her most famous book, Weil reflects on the importance of religious and political social structures in the life of the individual. She wrote that one of the basic obligations we have as human beings is to not let another suffer from hunger. Equally as important, however, is our duty towards our community: we may have declared various human rights, but we have overlooked the obligations and this has left us self-righteous and rootless. Published posthumously, The Need for Roots was a direct result of Weil’s collaboration with Charles De Gaulle, where Weil set out to address the past and to propose a road map for the future of France after World War II. She painstakingly analyzes the spiritual and ethical milieu that led to France’s defeat by the German army, and then addresses these issues with the prospect of eventual French victory.
Essay on the Notion of Reading (1946)
In this essay, Weil undertakes a meditation on the idea of “reading”, which she thinks can shed new light on a diverse range of conceptual and experiential “mysteries”, especially with respect to our existential responses to the world. A central concern is how we ascribe meaning and respond to phenomena. She argues that, for the most part, our reading of the world and the things in it are immediate, not subject to “interpretation”, at least as this is regularly conceived. Further, Weil says, our readings of the world are invariably tied to particular kinds of valuation, of ethical assessment and orientation, which appear to us as both obvious and immediate. This immediacy of reading, however, does not entail that our readings cannot be changed or challenged—only that such a change or challenge requires a particular kind of labor.
Words of Power: A Feminist Reading of the History of Logic
Is logic masculine? Is women’s lack of interest in the “hard core” philosophical disciplines of formal logic and semantics symptomatic of an inadequacy linked to sex? Is the failure of women to excel in pure mathematics and mathematical science a function of their inability to think rationally? Andrea Nye undermines the assumptions that inform these questions, assumptions such as: logic is unitary, logic is independenet of concrete human relations, and logic transcends historical circumstances as well as gender. In a series of studies of the logics of historical figures–Parmenides, Plato, Aristotle, Zeno, Abelard, Ockham, and Frege–she traces the changing interrelationships between logical innovation and oppressive speech strategies, showing that logic is not transcendent truth but abstract forms of language spoken by men, whether Greek ruling citizens, or scientists.