Diversity Reading List

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.

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.

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.

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.