Diversity Reading List

Logical nihilism can be understood as the view that there are no laws of logic. This paper presents both a counterexample-based argument in favor of logical nihilism, and a way to resist it by using Lakatos' method of lemma incorporation. The price to pay is the loss of absolute generality.

This chapter asks whether there is any such thing as feminist logic. It defines feminism and logic, and then goes on to present and evaluate four possible views, introducing and critiquing the work of Andrea Nye, Val Plumwood, and Susan Stebbing. It argues that Stebbing’s approach—on which feminism is one among many political applications of logic—is correct, but that feminist logic could do more, by providing a formal framework for the study of social hierarchies, much as it presently provides a formal framework for the study of numbers and similarity rankings among possible worlds.

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.

Some writers object to logical pluralism on the grounds that logic is normative. The rough idea is that the relation of logical consequence has consequences for what we ought to think and how we ought to reason, so that pluralism about the consequence relation would result in an incoherent or unattractive pluralism about those things. In this paper I argue that logic isn’t normative. I distinguish three different ways in which a theory – such as a logical theory – can be entangled with the normative and argue that logic is only entangled in the weakest of these ways, one which requires it to have no normativity of its own. I use this view to show what is wrong with three different arguments for the conclusion that logic is normative.

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: "[T]he sceptical argument that Kripke attributes to Wittgenstein, and even the 'sceptical solution', are of considerable importance regardless of whether they are clearly Wittgenstein's. The naturalistically inclined philosopher, who rejects Brentano's irreducibility and yet holds intentionality to be an objective feature of our thoughts, owes a solution to the Kripke-Wittgenstein paradox." The challenge is a welcome one. Although I will argue that the Kripke-Wittgenstein paradox is not a problem for naturalists only, I will propose a naturalist solution to it. (Should the Kripke-Wittgenstein paradox prove to be soluble from a naturalist standpoint but intractable from other standpoints, that would, I suppose, constitute an argument for naturalism.) Then I will show that the paradox and its solution have an important consequence for the theories of meaning and truth. The Kripke-Wittgenstein arguments which pose the paradox also put in question Dummett's and Putnam's view of language understanding. From this view it follows that truth rules must be "verificationist rules" that assign assertability conditions to sentences, rather than "realist rules" that assign correspondence truth conditions. The proposed solution to the paradox suggests another view of language understanding, according to which a speaker can express, through his language practice, a grasp of correspondence truth rules.