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.
What If We Change Our Axioms? A Feminist Inquiry into the Foundations of Mathematics
From the Introduction: “Modern mathematics is based on the axiomatic method. We choose axioms and a deductive system—rules for deducing theorems from the axioms. This methodology is designed to guarantee that we can proceed from “obviously” true premises to true conclusions, via inferences which are “obviously” truth-preserving. […] New and interesting questions arise if we give up as myth the claim that our theorizing can ever be separated out from the complex dynamic of interwoven social/political/historical/cultural forces that shape our experiences and views. Considering mathematics as a set of stories produced according to strict rules one can read these stories for what they tell us about the very real human desires, ambitions, and values of the authors (who understands) and listen to the authors as spokespersons for their cultures (where and when). This paper is the self-respective and self-conscious attempt of a mathematician to retell a story of mathematics that attends to the relationships between who we are and what we know.”
Logical Realism and the Metaphysics of Logic
‘Logical Realism’ is taken to mean many different things. I argue that if reality has a privileged structure, then a view I call metaphysical logical realism is true. The view says that, first, there is ‘ One True Logic ’ ; second, that the One True Logic is made true by the mind ‐ and ‐ language ‐ independent world; and third, that the mind ‐ and ‐ language ‐ independent world makes it the case that the One True Logic is better than any other logic at capturing the structure of reality. Along the way, I discuss a few alternatives, and clarify two distinct kinds of metaphysical logical realism.
Dialogical Logic
This entry presents the framework of « dialogical logic » in the initial Lorenzen and Lorenz tradition. The rules for the game and for building strategies are provided with step by step examples, helping the reader understand how the dialogue tables reflect a dynamic process of interaction between the players. Various logics are presented within this pluralistic framework: intuitionist logic, classical logic, and modal logics, with references to various other logics. In a second part of the entry, objections against the framework are considered, together with answers provided by the « Immanent Reasoning » variant, which stays within the Lorenzen and Lorenz tradition, and by the « Built-In Opponent » variant first developed by Catarina Dutilh Novaes, which develops a different dialogical tradition.
From Anti-Exceptionalism to Feminist Logic
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.”
The Woman of Reason: On the Re-appropriation of Rationality and the Enjoyment of Philosophy
This paper starts out from two feminist criticisms of classical logic, namely Andrea Nye’s general rejection of logic and Val Plumwood’s criticism of the standard notion of negation in classical logic. I then look at some of Gottlob Frege’s reflections on negation in one of his later Logical Investigations. It will appear clear that Frege’s notion of negation is not easily pegged in the general category of ‘Otherness’ that Plumwood uses to characterize negation in classical logic. In the second half of the paper, I discuss the claim that the adversarial method of argumentation in philosophy is hostile to feminist goals and perhaps responsible for the low numbers of women engaged in academic philosophy. Against this hypothesis, I claim that a more naturalistic perspective on logic can avoid essentialism and provide a feminist friendly and pluralist view of logic, human reasoning, and philosophical argumentation.
Logic from a Quinean Perspective: An Empirical Enterprise
From the Introduction: “Lynn Hankinson Nelson and Jack Nelson extend the work begun in the former’s book Who Knows: From Quine to a Feminist Empiricism, by showing that a Quinean understanding of logic as an empirical field implies that logic remains open to revision in light of fundamental shifts in knowledge. Nelson and Nelson point to the revisions in scientific understandings made possible by the incorporation of women and women’s lives as emblematic of the possible ways that feminist thought can provide a deep reworking of the structures of knowledge and thus potentially of logic. Although they are cautious of any conclusions that logic must change, their work offers a theoretical ground from which the effects of feminist theorizing on logic can be usefully explored.”
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.”