Diversity Reading List

Abstract:

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.

Abstract:

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.

Abstract:

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.

Abstract: Description: Survey article on logical pluralism. The article is divided into three main parts: i) in the first one the author presents the main arguments for logical pluralism with respect to logical consequence; ii) in the second part, the author considers the relation between logical pluralism and Carnap's linguistic pluralism; iii) in the last section, the author considers further kinds of logical pluralism.

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: This paper deals with the adequacy of the model-theoretic definition of logical consequence. Logical consequence is commonly described as a necessary relation that can be determined by the form of the sentences involved. In this paper, necessity is assumed to be a metaphysical notion, and formality is viewed as a means to avoid dealing with complex metaphysical questions in logical investigations. Logical terms are an essential part of the form of sentences and thus have a crucial role in determining logical consequence. Gila Sher and Stewart Shapiro each propose a formal criterion for logical terms within a model-theoretic framework, based on the idea of invariance under isomorphism. The two criteria are formally equivalent, and thus we have a common ground for evaluating and comparing Sher and Shapiro philosophical justification of their criteria. It is argued that Shapiro's blended approach, by which models represent possible worlds under interpretations of the language, is preferable to Sher’s formal-structural view, according to which models represent formal structures. The advantages and disadvantages of both views’ reliance on isomorphism are discussed.

Abstract:

How does being a woman affect one’s epistemic life? What about being black? Or queer? Standpoint theorists argue that such social positions can give rise to otherwise unavailable epistemic privilege. “Epistemic privilege” is a murky concept, however. Critics of standpoint theory argue that the view is offered without a clear explanation of how standpoints confer their benefits, what those benefits are, or why social positions are particularly apt to produce them. But this need not be so. This article articulates a minimal version of standpoint epistemology that avoids these criticisms and supports the normative goals of its feminist forerunners. With this foundation, we develop a formal model in which to explore standpoint epistemology using neighborhood semantics for modal logic.

Summary: Sundar Sarukkai's Indian Philosophy and Philosophy of Science shows how the two very different approaches from East and West can illuminate each other. It is not an introduction to the philosophy of science, but rather an invitation to look at philosophy of science in a new way, using the approaches of classical Indian logic, in particular Navya Nyāya . Sarukkai's major thesis is that in the West philosophy of science tries to put logic into science, and that in the East Indian logic seeks to put science into logic. The naïve Western approach takes an abstract view of logic and formulates science using abstract logical and mathematical theories. Indian logic looks at the world and remains involved with the world throughout. Because of this, logical arguments have to involve contingent matters of fact or observation .Western readers may find the lack of distinction between induction and deduction disturbing, but the Eastern involvement with the world, not merely abstraction, reflects a different way of looking at what logic is and where its origins lie.

Summary: This book serves as an excellent introduction to Indian philosophy from the standpoint of the Nyãya-Vaisesika worldview. The book is divided into six chapters: (i) Introduction; (ii) Doubt (including sections like "Types of Doubt" and "Limits of Doubt"); (iii) Indian Logic (in which Dignaga, Dharmakïrti, and a "Summary of Themes in Indian Logic Relevant to Philosophy of Science" are discussed); (iv) Logic in Science: The Western Way (dealing, among other things, with induction, deduction, and laws and counterfactuals); (v) Science in Logic: The Indian Way? ; and (vi) Knowledge, Truth and Language (including sections with titles like the Pramäna Theory, Truth in Western and Indian Philosophies and Science, Effability, and Bhartrhai).

Abstract: Marjorie Jeuck Rice, a most unlikely mathematician, died on 2 July 2017 at the age of 94. She was born on 16 February 1923 in St. Petersburg, Florida, and raised on a tiny farm near Roseburg in southern Oregon. There she attended a one-room country school, and there her scientific interests were awakened and nourished by two excellent teachers who recognized her talent. She later wrote, ‘Arithmetic was easy and I liked to discover the reasons behind the methods we used.… I was interested in the colors, patterns, and designs of nature and dreamed of becoming an artist’?

Abstract: Scheman argues against individualism, the thesis that psychological states are intrinsic objects that can exist independently from the context in which the individual lives. Scheman argues that while individualism is taken as de facto theory about the ontology of psychological objects given its alignment with physicalism, individualism is an ideological position rooted in a patriarchal system. According to Scheman, individualism prevents us from wholly considering psychological objects in relation to socially embedded norms. Scheman advocates for an anti-individualist position by examining how individualist approaches arise as a result of an embedment of liberal individualism and patriarchal culture.

Abstract: Neoclassical economists have been telling us for years that if we behave in egoistic, individualistic ways, the invisible hand of the market will guide us to efficient and sustainable futures. Many contemporary Greens also have been assuring us that if we behave in holistic ways, the invisible hand of ecology will guide us to health and sustainable futures. This essay argues that neither individualism nor holism will provide environmental sustainability. There is no invisible hand, either in economics or in ecology. Humans have no guaranteed tenure in the biosphere. Likewise there is no philosophical quick fix for environmental problems, either through the ethical individualism of Feinberg, Frankena, and Regan, or through the ecological holism of Callicott and Leopold. The correct path is more complex and tortuous than either of these ways. The essay argues that the best way to reach a sustainable environmental future probably is through a middle path best described as "hierarchical holism.".

Abstract: The term "Sapphire" is frequently used to describe an age-old image of Black women. The caricature of the dominating, emasculating Black woman is one which historically has saturated both the popular and scholarly literature. The purpose of this paper is debunk the "Sapphire" caricature as it has been projected in American social science. By exposing the racist and sexist underpinnings of this stereotype, it is hoped that more students and scholars might be sensitized and encouraged to contribute to the development of a nonracist and non-sexist social science.

Abstract: The Four-Colour Theorem (4CT) proof, presented to the mathematical community in a pair of papers by Appel and Haken in the late 1970's, provoked a series of philosophical debates. Many conceptual points of these disputes still require some elucidation. After a brief presentation of the main ideas of Appel and Haken’s procedure for the proof and a reconstruction of Thomas Tymoczko’s argument for the novelty of 4CT’s proof, we shall formulate some questions regarding the connections between the points raised by Tymoczko and some Wittgensteinian topics in the philosophy of mathematics such as the importance of the surveyability as a criterion for distinguishing mathematical proofs from empirical experiments. Our aim is to show that the “characteristic Wittgensteinian invention” (Mühlhölzer 2006) – the strong distinction between proofs and experiments – can shed some light in the conceptual confusions surrounding the Four-Colour Theorem.

Abstract:

How many logics do logical pluralists adopt, or are allowed to adopt, or ought to adopt, in arguing for their view? These metatheoretical questions lurk behind much of the discussion on logical pluralism, and have a direct bearing on normative issues concerning the choice of a correct logic and the characterization of valid reasoning. Still, they commonly receive just swift answers – if any. Our
aim is to tackle these questions head on, by clarifying the range of possibilities that logical pluralists have at their disposal when it comes to the metatheory of their position, and by spelling out which routes are advisable. We explore ramifications of all relevant responses to our question: no logic, a single logic, more than one logic. In the end, we express skepticism that any proposed answer is viable. This threatens the coherence of current and future versions of logical pluralism.