Diversity Reading List

Abstract:
Drawing on the works of Friedrich Nietzsche, this contribution will examine commemorative practices alongside critical modes of historical engagement. In Untimely Meditations, Friedrich Nietzsche documents three historical methodologies—the monumental, antiquarian and critical—which purposely use history in non-objective ways. In particular, critical history desires to judge and reject historical figures rather than repeat the past or venerate the dead. For instance, in recent protests against racism there have also been calls to decolonize public space through the defacement, destruction, and removal of monuments. There is thus much potential in critical history being used to address ongoing harms.

Abstract: To answer Condorcet, in this chapter I will investigate what it is about the social world that makes the universal, exceptionless generalizations that are heralded as the foundation of knowledge of the physical world so elusive. I am not going to rehearse all the arguments for and against the possibility of laws in the social realm. What I aim to do is not to take either side of the debate, that is, not to say - "YES! Social science does have laws just like physics (or close enough any-way)" or "NO! Social science can never have laws like those of physics; knowledge of the social has a wholly different character." Rather I will suggest replacing the standard conception of laws that structure the debate with a more spacious conceptual framework that not only illuminates what it is about knowledge of the social that is similar to knowledge of the physical, but also explains what is so different in the two scientific endeavors.

Abstract: Biological knowledge does not fit the image of science that philosophers have developed. Many argue that biology has no laws. Here I criticize standard normative accounts of law and defend an alternative, pragmatic approach. I argue that a multidimensional conceptual framework should replace the standard dichotomous law/ accident distinction in order to display important differences in the kinds of causal structure found in nature and the corresponding scientific representations of those structures. To this end I explore the dimensions of stability, strength, and degree of abstraction that characterize the variety of scientific knowledge claims found in biology and other sciences.

Abstract:

The chapter is an overview of Indian logic, with a general introduction followed by specialized sections on four different schools: Nyāya logic, Buddhist logic, Jaina logic, and Navya-Nyāya logic.

Abstract: The Prisoner’s Dilemma game is one of the classic games discussed in game theory,  the  study  of  strategic  decision  making  in  situations  of conflict,  which  stretches  between  mathematics  and  the  social  sciences. Game theory was  primarily developed  during  the  late  1940s  and  into  the  1960s  at  a number of research sites funded by various arms of the U.S. military establishment as part of their Cold War research.

Abstract:
Prominent mathematician William Thurston was praised by other mathematicians for his intellectual generosity. But what does it mean to say Thurston was intellectually generous? And is being intellectually generous beneficial? To answer these questions I turn to virtue epistemology and, in particular, Roberts and Wood's (2007) analysis of intellectual generosity. By appealing to Thurston's own writings and interviewing mathematicians who knew and worked with him, I argue that Roberts and Wood's analysis nicely captures the sense in which he was intellectually generous. I then argue that intellectual generosity is beneficial because it counteracts negative effects of the reward structure of mathematics that can stymie mathematical progress.

Summary: Uses Maxwell's model of the ether as a case study in accounting for the role of fictions in science. Argues that we should understand idealisation and abstraction as being different from fiction. Fictional models for Morrison are those that are deliberately intended to be such that the relationship between their structure and the structure of the concrete systems they model is not (immediately) apparent. This is different from mere idealisation, where certain structural features are omitted to make calculations more tractable.

Abstract: Spin is typically thought to be a fundamental property of the electron and other elementary particles. Although it is defined as an internal angular momentum much of our understanding of it is bound up with the mathematics of group theory. This paper traces the development of the concept of spin paying particular attention to the way that quantum mechanics has influenced its interpretation in both theoretical and experimental contexts. The received view is that electron spin was discovered experimentally by Stern and Gerlach in 1921, 5 years prior to its theoretical formulation by Goudsmit and Uhlenbeck. However, neither Goudsmit nor Uhlenbeck, nor any others involved in the debate about spin cited the Stern-Gerlach experiment as corroborating evidence. In fact, Bohr and Pauli were emphatic that the spin of a single electron could not be measured in classical experiments. In recent years experiments designed to refute the Bohr-Pauli thesis and measure electron spin have been carried out. However, a number of ambiguities surround these results - ambiguities that relate not only to the measurements themselves but to the interpretation of the experiments. After discussing these various issues the author raises some philosophical questions about the ontological and epistemic status of spin.

Summary: Morrison and Morgan argue for a view of models as 'mediating instruments' whose role in scientific theorising goes beyond applying theory. Models are partially independent of both theories and the world. This autonomy allows for a unified account of their role as instruments that allow for exploration of both theories and the world.

Abstract:

We investigate the truth conditions of knowledge ascriptions for the case of mathematical knowledge. The availability of a formalizable mathematical proof appears to be a natural criterion:

(*) X knows that p is true iff X has available a formalizable proof of p.

Yet, formalizability plays no major role in actual mathematical practice. We present results of an empirical study, which suggest that certain readings of (*) are not necessarily employed by mathematicians when ascribing knowledge. Further, we argue that the concept of mathematical knowledge underlying the actual use of “to know” in mathematical practice is compatible with certain philosophical intuitions, but seems to differ from philosophical knowledge conceptions underlying (*).