Diversity Reading List

Abstract: In this paper I examine some research on how to diminish or eliminate stereotype threat in mathematics. Some of the successful strategies include: informing our students about stereotype threat, challenging the idea that logical intelligence is an 'innate' ability, making students In threatened groups feel welcomed, and introducing counter-stereotypical role models. The purpose of this paper is to take these strategies that have proven successful and come up with specific ways to incorporate them into introductory logic classes. For example, the possible benefit of presenting logic to our undergraduate students by concentrating on aspects of logic that do not result in a clash of schemas.

Summary: Surveys the opposition between views of mathematics which take mathematics to represent a independent mathematical reality and views which take mathematical axioms to define or circumscribe their subject matter; and defends the latter view against influential objections.

Publisher's Note: Mary Leng offers a defense of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects. Perhaps the most pressing challenge to mathematical fictionalism is the indispensability argument for the truth of our mathematical theories (and therefore for the existence of the mathematical objects posited by those theories). According to this argument, if we have reason to believe anything, we have reason to believe that the claims of our best empirical theories are (at least approximately) true. But since claims whose truth would require the existence of mathematical objects are indispensable in formulating our best empirical theories, it follows that we have good reason to believe in the mathematical objects posited by those mathematical theories used in empirical science, and therefore to believe that the mathematical theories utilized in empirical science are true. Previous responses to the indispensability argument have focussed on arguing that mathematical assumptions can be dispensed with in formulating our empirical theories. Leng, by contrast, offers an account of the role of mathematics in empirical science according to which the successful use of mathematics in formulating our empirical theories need not rely on the truth of the mathematics utilized.

Abstract: This paper argues that it is scientific realists who should be most concerned about the issue of Platonism and anti-Platonism in mathematics. If one is merely interested in accounting for the practice of pure mathematics, it is unlikely that a story about the ontology of mathematical theories will be essential to such an account. The question of mathematical ontology comes to the fore, however, once one considers our scientific theories. Given that those theories include amongst their laws assertions that imply the existence of mathematical objects, scientific realism, when construed as a claim about the truth or approximate truth of our scientific theories, implies mathematical Platonism. However, a standard argument for scientific realism, the 'no miracles' argument, falls short of establishing mathematical Platonism. As a result, this argument cannot establish scientific realism as it is usually defined, but only some weaker position. Scientific 'realists' should therefore either redefine their position as a claim about the existence of unobservable physical objects, or alternatively look for an argument for their position that does establish mathematical Platonism.

Summary: Defends an account of mathematical knowledge in which mathematical knowledge is a kind of modal knowledge. Leng argues that nominalists should take mathematical knowledge to consist in knowledge of the consistency of mathematical axiomatic systems, and knowledge of what necessarily follows from those axioms. She defends this view against objections that modal knowledge requires knowledge of abstract objects, and argues that we should understand possibility and necessity in a primative way.

Publisher's note: For at least two millennia before the advent of the Spaniards in 1519, there was a flourishing civilization in central Mexico. During that long span of time a cultural evolution took place which saw a high development of the arts and literature, the formulation of complex religious doctrines, systems of education, and diverse political and social organization.The rich documentation concerning these people, commonly called Aztecs, includes, in addition to a few codices written before the Conquest, thousands of folios in the Nahuatl or Aztec language written by natives after the Conquest. Adapting the Latin alphabet, which they had been taught by the missionary friars, to their native tongue, they recorded poems, chronicles, and traditions.

The fundamental concepts of ancient Mexico presented and examined in this book have been taken from more than ninety original Aztec documents. They concern the origin of the universe and of life, conjectures on the mystery of God, the possibility of comprehending things beyond the realm of experience, life after death, and the meaning of education, history, and art. The philosophy of the Nahuatl wise men, which probably stemmed from the ancient doctrines and traditions of the Teotihuacans and Toltecs, quite often reveals profound intuition and in some instances is remarkably “modern.”

This English edition is not a direct translation of the original Spanish, but an adaptation and rewriting of the text for the English-speaking reader.

Publisher's note: For at least two millennia before the advent of the Spaniards in 1519, there was a flourishing civilization in central Mexico. During that long span of time a cultural evolution took place which saw a high development of the arts and literature, the formulation of complex religious doctrines, systems of education, and diverse political and social organization. The rich documentation concerning these people, commonly called Aztecs, includes, in addition to a few codices written before the Conquest, thousands of folios in the Nahuatl or Aztec language written by natives after the Conquest. Adapting the Latin alphabet, which they had been taught by the missionary friars, to their native tongue, they recorded poems, chronicles, and traditions.

The fundamental concepts of ancient Mexico presented and examined in this book have been taken from more than ninety original Aztec documents. They concern the origin of the universe and of life, conjectures on the mystery of God, the possibility of comprehending things beyond the realm of experience, life after death, and the meaning of education, history, and art. The philosophy of the Nahuatl wise men, which probably stemmed from the ancient doctrines and traditions of the Teotihuacans and Toltecs, quite often reveals profound intuition and in some instances is remarkably “modern.”

This English edition is not a direct translation of the original Spanish, but an adaptation and rewriting of the text for the English-speaking reader.

Abstract: I propose a framework that explicates and distinguishes the epistemic roles of data and models within empirical inquiry through consideration of their use in scientific practice. After arguing that Suppes' characterization of data models falls short in this respect, I discuss a case of data processing within exploratory research in plant phenotyping and use it to highlight the difference between practices aimed to make data usable as evidence and practices aimed to use data to represent a specific phenomenon. I then argue that whether a set of objects functions as data or models does not depend on intrinsic differences in their physical properties, level of abstraction or the degree of human intervention involved in generating them, but rather on their distinctive roles towards identifying and characterizing the targets of investigation. The paper thus proposes a characterization of data models that builds on Suppes' attention to data practices, without however needing to posit a fixed hierarchy of data and models or a highly exclusionary definition of data models as statistical constructs.

Abstract: Many have asked how and why feminist theory makes a distinctive contribution to bioethics. In this essay, I outline two ways in which feminist reflection can enrich bioethical studies. First, feminist theory may expose certain themes of androcentric reasoning that can affect, in sometimes crude but often subtle ways, the substantive analysis of topics in bioethics; second, it can unearth the gendered nature of certain basic philosophical concepts that form the working tools of ethical theory.

Abstract: I discuss two types of evidential problems with the most widely touted experiments in evolutionary psychology, those performed by Leda Cosmides and interpreted by Cosmides and John Tooby. First, and despite Cosmides and Tooby's claims to the contrary, these experiments don't fulfil the standards of evidence of evolutionary biology. Second Cosmides and Tooby claim to have performed a crucial experiment, and to have eliminated rival approaches. Though they claim that their results are consistent with their theory but contradictory to the leading non-evolutionary alternative, Pragmatic Reasoning Schemas theory, I argue that this claim is unsupported. In addition, some of Cosmides and Tooby's interpretations arise from misguided and simplistic understandings of evolutionary biology. While I endorse the incorporation of evolutionary approaches into psychology, I reject the claims of Cosmides and Tooby that a modular approach is the only one supported by evolutionary biology. Lewontin's critical examinations of the applications of adaptationist thinking provide a background of evidentiary standards against which to view the currently fashionable claims of evolutionary psychology

Abstract: Why women evolved to have orgasms - when most of their primate relatives don't - is a persistent mystery among evolutionary biologists. In pursuing this mystery, Elisabeth Lloyd arrives at another: How could anything as inadequate as the evolutionary explanations of the female orgasm have passed muster as science? A judicious and revealing look at all twenty evolutionary accounts of the trait of human female orgasm, Lloyd's book is at the same time a case study of how certain biases steer science astray. Over the past fifteen years, the effect of sexist or male-centered approaches to science has been hotly debated. Drawing especially on data from nonhuman primates and human sexology over eighty years, Lloyd shows what damage such bias does in the study of female orgasm. She also exposes a second pernicious form of bias that permeates the literature on female orgasms: a bias toward adaptationism. Here Lloyd's critique comes alive, demonstrating how most of the evolutionary accounts either are in conflict with, or lack, certain types of evidence necessary to make their cases - how they simply assume that female orgasm must exist because it helped females in the past reproduce. As she weighs the evidence, Lloyd takes on nearly everyone who has written on the subject: evolutionists, animal behaviorists, and feminists alike. Her clearly and cogently written book is at once a convincing case study of bias in science and a sweeping summary and analysis of what is known about the evolution of the intriguing trait of female orgasm.

Publisher's Note: Traditionally a scientific theory is viewed as based on universal laws of nature that serve as axioms for logical deduction. In analyzing the logical structure of evolutionary biology, Elisabeth Lloyd argues that the semantic account is more appropriate and powerful. This book will be of interest to biologists and philosophers alike.

Abstract: This paper explores a number of recent proposals regarding "feminist science" and rejects a content-based approach in favor of a process-based approach to characterizing feminist science. Philosophy of science can yield models of scientific reasoning that illuminate the interaction between cultural values and ideology and scientific inquiry. While we can use these models to expose masculine and other forms of bias, we can also use them to defend the introduction of assumptions grounded in feminist political values.

Abstract: Underdetermination arguments support the conclusion that no amount of empirical data can uniquely determine theory choice. The full content of a theory outreaches those elements of it (the observational elements) that can be shown to be true (or in agreement with actual observations).2 A number of strategies have been developed to minimize the threat such arguments pose to our aspirations to scientific knowledge. I want to focus on one such strategy: the invocation of additional criteria drawn from a pool of cognitive or theoretical values, such as simplicity or gen- erality, to bolster judgements about the worth of models, theories, and hypotheses. What is the status of such criteria? Larry Laudan, in Science and Values, argued that cognitive values could not be treated as self-validating, beyond justification, but are embedded in a three-way reticulational system containing theories, methods, and aims or values, which are involved in mutually supportive relation- ships (Laudan, 1984). My interest in this paper is not the purportedly self- validating nature of cognitive values, but their cognitive nature. Although Laudan rejects the idea that what he calls cognitive values are exempt from rational critic- ism and disagreement, he does seem to think that the reticulational system he identifies is independent of non-cognitive considerations. It is this cognitive/ non-cognitive distinction that I wish to query in this paper. Let me begin by summarizing those of my own views about inquiry in which this worry about the distinction arises.

Publisher's Note: Conventional wisdom has it that the sciences, properly pursued, constitute a pure, value-free method of obtaining knowledge about the natural world. In light of the social and normative dimensions of many scientific debates, Helen Longino finds that general accounts of scientific methodology cannot support this common belief. Focusing on the notion of evidence, the author argues that a methodology powerful enough to account for theories of any scope and depth is incapable of ruling out the influence of social and cultural values in the very structuring of knowledge. The objectivity of scientific inquiry can nevertheless be maintained, she proposes, by understanding scientific inquiry as a social rather than an individual process. Seeking to open a dialogue between methodologists and social critics of the sciences, Longino develops this concept of "contextual empiricism" in an analysis of research programs that have drawn criticism from feminists. Examining theories of human evolution and of prenatal hormonal determination of "gender-role" behavior, of sex differences in cognition, and of sexual orientation, the author shows how assumptions laden with social values affect the description, presentation, and interpretation of data. In particular, Longino argues that research on the hormonal basis of "sex-differentiated behavior" involves assumptions not only about gender relations but also about human action and agency. She concludes with a discussion of the relation between science, values, and ideology, based on the work of Habermas, Foucault, Keller, and Haraway.