Diversity Reading List

Abstract:
In this paper we first explore how Wittgenstein’s philosophy provides a conceptual tools to discuss the possibility of the simultaneous existence of culturally different mathematical practices. We will argue that Wittgenstein’s later work will be a fruitful framework to serve as a philosophical background to investigate ethnomathematics (Wittgenstein 1973). We will give an overview of Wittgenstein’s later work which is referred to by many researchers in the field of ethnomathematics. The central philosophical investigation concerns Wittgenstein’s shift to abandoning the essentialist concept of language and therefore denying the existence of a universal language. Languages—or ‘language games’ as Wittgenstein calls them—are immersed in a form of life, in a cultural or social formation and are embedded in the totality of communal activities. This gives rise to the idea of rationality as an invention or as a construct that emerges in specific local contexts. In the second part of the paper we introduce, analyse and compare the mathematical aspects of two activities known as string figure-making and sand drawing, to illustrate Wittgenstein’s ideas. Based on an ethnomathematical comparative analysis, we will argue that there is evidence of invariant and distinguishing features of a mathematical rationality, as expressed in both string figure-making and sand drawing practices, from one society to another. Finally, we suggest that a philosophical-anthropological approach to mathematical practices may allow us to better understand the interrelations between mathematics and cultures. Philosophical investigations may help the reflection on the possibility of culturally determined ethnomathematics, while an anthropological approach, using ethnographical methods, may afford new materials for the analysis of ethnomathematics and its links to the cultural context. This combined approach will help us to better characterize mathematical practices in both sociological and epistemological terms.

Back matter: Warrior cultures throughout history have developed unique codes that restrict their behavior and set them apart from the rest of society. But what possible reason could a warrior have for accepting such restraints? Why should those whose profession can force them into hellish kill-or-be-killed conditions care about such lofty concepts as honor, courage, nobility, duty, and sacrifice? And why should it matter so much to the warriors themselves that they be something more than mere murderers? The Code of the Warrior tackles these timely issues and takes the reader on a tour of warrior cultures and their values, from the ancient Greeks and Romans to the "barbaric" Vikings and Celts, from legendary chivalric knights to Native American tribesmen, from Chinese warrior monks pursuing enlightenment to Japanese samurai practicing death. Drawing these rich traditions up to the present, the author quests for a code for the warriors of today, as they do battle in asymmetric conflicts against unconventional forces and the scourge of global terrorism.

Abstract: Two assumptions are common in discussions of the paradox of tragedy: (1) that tragic pleasure requires that the work be fictional or, if non-fiction, then non-transparently represented; and (2) that tragic pleasure may be provoked by a wide variety of art forms. In opposition to (1) I argue that certain documentaries could produce tragic pleasure. This is not to say that any sad or painful documentary could do so. In considering which documentaries might be plausible candidates, I further argue, against (2), that the scope of tragic pleasure is limited to works that possess certain thematic and narrative features.

Summary: Fusco's text chronicles the preparation, performance, and public reception of an artwork - "Two Undiscovered Amerindians" - she created in collaboration with Guillermo Gómez-Peña in 1992. The performance was intended as a critique of the contemporary artworld, whose shallow redemptive multiculturalism often sidelined important issues of racial difference and racialized aesthetic perception. It consisted of the two artists spending three days in a golden cage presented, in the manner of live ethnographic spectacles of the not so distant colonial past, as members of an exotic and newly discovered island nation in the Gulf of Mexico. Fusco contends that otherness is always performative and, as such, has held the entire history of performance art - from the Dadaists to the present day - captive. The resulting frequent gestures of appropriation, condescension and erasure discredit the social and intercultural consciousness most performance artists see themselves as representing. Ironically, the strange journey the "Two Undiscovered Amerindians" project has travelled has plentifully confirmed the iniquities the two artists set out to expose.

Publisher's Note: Not limited to merely mathematics, probability has a rich and controversial philosophical aspect. 'A Philosophical Introduction to Probability' showcases lesser-known philosophical notions of probability and explores the debate over their interpretations. Galavotti traces the history of probability and its mathematical properties and then discusses various philosophical positions on probability, from the Pierre Simon de Laplace's 'classical' interpretation of probability to the logical interpretation proposed by John Maynard Keynes. This book is a valuable resource for students in philosophy and mathematics and all readers interested in notions of probability

Abstract:
In his famous essay “Of the Standard of Taste,” Hume seeks to reconcile two conflicting intuitions—the intuition that there is a great variety of taste, on the one hand, and the intuition that there is an artistic standard based on taste that has stood the test of time, on the other—by appealing to the joint verdict of his “true judges” or “ideal critics.” But Hume’s critics have themselves been the objects of criticism as not providing an adequate basis on which to establish a normative aesthetic standard based on taste. In this paper, I defend an interpretation of Hume’s ideal critics as akin to judges in certain common law traditions, and I argue that Hume does satisfactorily resolve conflicting intuitions about the nature of taste.

Publisher's Note: Echoes from the Cave: Philosophical Conversations since Plato is an anthology of classic and contemporary readings in philosophy compiled to introduce students to the main problems discussed by philosophers past and present

Abstract:

The evaluation of labour markets and of particular jobs ought to be sensitive to a plurality of benefits and burdens of work. We use the term 'the goods of work' to refer to those benefits of work that cannot be obtained in exchange for money and that can be enjoyed mostly or exclusively in the context of work. Drawing on empirical research and various philosophical traditions of thinking about work we identify four goods of work: 1) attaining various types of excellence; 2) making a social contribution; 3) experiencing community; and 4) gaining social recognition. Our account of the goods of work can be read as unpacking the ways in which work can be meaningful. The distribution of the goods of work is a concern of justice for two conjoint reasons: First, they are part of the conception of the good of a large number of individuals. Second, in societies without an unconditional income and in which most people are not independently wealthy, paid work is non-optional and workers have few, if any, occasions to realize these goods outside their job. Taking into account the plurality of the goods of work and their importance for justice challenges the theoretical and political status quo, which focuses mostly on justice with regard to the distribution of income. We defend this account against the libertarian challenge that a free labour market gives individuals sufficient options to realise the goods of work important to them, and discuss the challenge from state neutrality. In the conclusion, we hint towards possible implications for today’s labour markets.

Abstract:

There is a broad philosophical consensus that both children’s and prospective parents’ interests are relevant to the justification of a right to parent. Against this view, I argue that it is impermissible to sacrifice children’s interests for the sake of advancing adults’ interest in childrearing. Therefore, the allocation of the moral right to parent should track the child’s, and not the potential parent’s, interest. This revisionary thesis is moderated by two additional qualifications. First, parents lack the moral right to exclude others from associating with the child. Second, children usually come into the world as part of a relationship with their gestational mother; often, this relationship deserves protection.

Abstract: I draw a connection between the question, raised by Hume and Kant, of how aesthetic judgments can claim universal agreement, and the question, raised in recent discussions of nonconceptual content, of how concepts can be acquired on the basis of experience. Developing an idea suggested by Kant's linkage of aesthetic judgment with the capacity for empirical conceptualization, I propose that both questions can be resolved by appealing to the idea of "perceptual normativity". Perceptual experience, on this proposal, involves the awareness of its own appropriateness with respect to the object perceived, where this appropriateness is more primitive than truth or veridicality. This means that a subject can take herself to be perceiving an object as she (and anyone else) ought to perceive it, without first recognizing the object as falling under a corresponding concept. I motivate the proposal through a criticism of Peacocke's account of concept-acquisition, which, I argue, rests on a confusion between the notion of a way something is perceived, and that of a way it is perceived as being. Whereas Peacocke's account of concept-acquisition depends on an illicit slide between these two notions, the notion of perceptual normativity allows a legitimate transition between them: if someone's perceiving something a certain way involves her taking it that she ought to perceive it that way, then she perceives the thing as being a certain way, so that the corresponding concept is available to her in perceptual experience.