Diversity Reading List

Abstract: Women philosophers of the past, because they tended not to engage with each other much, are often perceived as isolated from ongoing philosophical dialogues. This has led - directly and indirectly - to their exclusion from courses in the history of philosophy. This article explores three ways in which we could solve this problem. The first is to create a course in early modern philosophy that focuses solely or mostly on female philosophers, using conceptual and thematic ties such as a concern for education and a focus on ethics and politics. The second is to introduce women authors as dialoguing with the usual canonical suspects: Cavendish with Hobbes, Elisabeth of Bohemia with Descartes, Masham and Astell with Locke, Conway with Leibniz, and so on. The article argues that both methods have significant shortcomings, and it suggests a third, consisting in widening the traditional approach to structuring courses in early modern philosophy.

Abstract:
In this article, I discuss the commemoration of public figures such as Nelson Mandela and Yitzhak Rabin. In many cases, our commemoration of such figures is based on the admiration we feel for them. However, closer inspection reveals that most (if not all) of those we currently honour do not qualify as fitting objects of admiration. Yet, we may still have the strong intuition that we ought to continue commemorating them in this way. I highlight two problems that arise here: the problem that the expressed admiration does not seem appropriate with respect to the object and the problem that continued commemorative practices lead to rationality issues. In response to these issues, I suggest taking a fictionalist position with respect to commemoration. This crucially involves sharply distinguishing between commemorative and other discourses, as well as understanding the objects of our commemorative practices as fictional objects.

Summary: Bishop offers a critique of "relational aesthetics" - an approach to installation art that originated in the 1990's and whose main proponent and interpreter was Nicolas Bourriaud. Bourriaud's chief claim is that the art movement in question promotes intersubjective relationships (between artist and audience members and among audience members alike) and privileges social and political cohesion over other possible aspects of the aesthetic experience. While Bishop finds this ethos applicable to the work of the artists Bourriaud chooses to discuss (Rikrit Tiravanija, Liam Gillick etc.), she finds it difficult to reconcile relational aesthetics with the realities and concerns of the larger artworld. Antagonism is for Bishop just as viable a driving force in the making and appreciation of art as are social cohesion and intersubjective togetherness. Furthermore, as the history of early performance art and its reception shows, what makes art difficult, and thus politically important, is precisely the tensions that the makers and theorists of relational aesthetics attempt to quell.

Abstract: Gottlob Frege's work in logic and the foundations of mathemat- ics centers on claims of logical entailment; most important among these is the claim that arithmetical truths are entailed by purely logical principles. Occupying a less central but nonetheless important role in Frege's work are claims about failures of entailment. Here, the clearest examples are his theses that the truths of geometry are not entailed by the truths of logic or of arithmetic, and that some of them are not entailed by each other. As he, and we, would put it: the truths of Eluclidean geometry are independent of the truths of logic, and some of them are independent of one another.' Frege's talk of independence and related notions sounds familiar to a modern ear: a proposition is independent of a collection of propositions just in case it is not a consequence of that collection, and a proposition or collection of propositions is consistent just in case no contradiction is a consequence of it. But some of Frege's views and procedures are decidedly tinmodern. Despite developing an extremely sophisticated apparattus for demonstrating that one claim is a consequience of others, Frege offers not a single demon- stration that one claim is not a conseqtuence of others. Thus, in par- tictular, he gives no proofs of independence or of consistency. This is no accident. Despite his firm commitment to the independence and consistency claims just mentioned, Frege holds that independence and consistency cannot systematically be demonstrated.2 Frege's view here is particularly striking in light of the fact that his contemporaries had a fruitful and systematic method for proving consistency and independence, a method which was well known to him. One of the clearest applications of this method in Frege's day came in David Hilbert's 1899 Foundations of Geometry,3 in which he es- tablishes via essentially our own modern method the consistency and independence of various axioms and axiom systems for Euclidean geometry. Frege's reaction to Hilbert's work was that it was simply a failure: that its central methods were incapable of demonstrating consistency and independence, and that its usefulness in the founda- tions of mathematics was highly questionable.4 Regarding the general usefulness of the method, it is clear that Frege was wrong; the last one hundred years of work in logic and mathemat- ics gives ample evidence of the fruitfulness of those techniques which grow directly from the Hilbert-style approach. The standard view today is that Frege was also wrong in his claim that Hilbert's methods fail to demonstrate consistency and independence. The view would seem to be that Frege largely missed Hilbert's point, and that a better under- standing of Hilbert's techniques would have revealed to Frege their success. Despite Frege's historic role as the founder of the methods we now use to demonstrate positive consequence-results, he simply failed, on this account, to understand the ways in which Hilbert's methods could be used to demonstrate negative consequence-results. The purpose of this paper is to question this account of the Frege- Hilbert disagreement. By 1899, Frege had a well-developed view of log- ical consequence, consistency, and independence, a view which was central to his foundational work in arithmetic and to the epistemologi- cal significance of that work. Given this understanding of the logical relations, I shall argue, Hilbert's demonstrations do fail. Successful as they were in demonstrating significant metatheoretic results, Hilbert's proofs do not establish the consistency and independence, in Frege's sense, of geometrical axioms. This point is important, I think, both for an understanding of the basis of Frege's epistemological claims about mathematics, and for an understanding of just how different Frege's conception of logic is from the modern model-theoretic conception that has grown out of the Hilbert-style approach to consistency.

Publisher's Note: In Frege's Conception of Logic Patricia A. Blanchette explores the relationship between Gottlob Frege's understanding of conceptual analysis and his understanding of logic. She argues that the fruitfulness of Frege's conception of logic, and the illuminating differences between that conception and those more modern views that have largely supplanted it, are best understood against the backdrop of a clear account of the role of conceptual analysis in logical investigation. The first part of the book locates the role of conceptual analysis in Frege's logicist project. Blanchette argues that despite a number of difficulties, Frege's use of analysis in the service of logicism is a powerful and coherent tool. As a result of coming to grips with his use of that tool, we can see that there is, despite appearances, no conflict between Frege's intention to demonstrate the grounds of ordinary arithmetic and the fact that the numerals of his derived sentences fail to co-refer with ordinary numerals. In the second part of the book, Blanchette explores the resulting conception of logic itself, and some of the straightforward ways in which Frege's conception differs from its now-familiar descendants. In particular, Blanchette argues that consistency, as Frege understands it, differs significantly from the kind of consistency demonstrable via the construction of models. To appreciate this difference is to appreciate the extent to which Frege was right in his debate with Hilbert over consistency- and independence-proofs in geometry. For similar reasons, modern results such as the completeness of formal systems and the categoricity of theories do not have for Frege the same importance they are commonly taken to have by his post-Tarskian descendants. These differences, together with the coherence of Frege's position, provide reason for caution with respect to the appeal to formal systems and their properties in the treatment of fundamental logical properties and relations.

Publisher’s Note:
A native of St. Thomas, West Indies, Edward Wilmot Blyden (1832-1912) lived most of his life on the African continent. He was an accomplished educator, linguist, writer, and world traveler, who strongly defended the unique character of Africa and its people. Christianity, Islam and the Negro Race is an essential collection of his writings on race, culture, and the African personality.

Summary: A comprehensive introduction to ancient (western) logic from the 5th century BCE to the 6th century CE, with an emphasis on topics which may be of interest to contemporary logicians. Topics include pre-Aristotelian logic, Aristotelian logic, Peripatetic logic, Stoic Logic and a note on Epicureans and their views on logic.

Abstract: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental rules which establish the formal validity of non-indemonstrable arguments by analysing them in one or more steps into one or more indemonstrable arguments (cut type rules and antilogism). The function of these rules is to reduce given non-indemonstrable arguments to indemonstrable syllogisms. Moreover, the Stoic method of deduction differs from standard modern ones in that the direction is reversed (similar to tableau methods). The Stoic system may hence be called an argumental reductive system of deduction. In this paper, a reconstruction of this system of logic is presented, and similarities to relevance logic are pointed out.

Abstract:
This is how one Native American presents her interpretation of the indigenous understanding of nature. As we will see in this article, many Native Americans present similar understandings. Their reciprocal relationships with nature permeated every aspect of life from spirituality to making a living and led to a different way of seeing the world, what they might call a more “environmental” way of seeing the world. But is this a true picture? Increasingly there has been debate over the nature of the Native American’s relationship to the land, both past and present. This article will examine this debate and the way in which Native Americans view nature.

Abstract: Lady Mary Shepherd (1777-1847) argued for distinctive accounts of causation, perception, and knowledge of an external world and God. However, her work, engaging with Berkeley and Hume but written after Kant, does not fit the standard periodisation of early modern philosophy presupposed by many philosophy courses, textbooks, and conferences. This paper argues that Shepherd should be added to the canon as a Scottish philosopher. The practical reason for doing so is that it would give Shepherd a disciplinary home, opening up additional possibilities for research and teaching. The philosophical reason is that her views share certain features characteristic of canonical Scottish philosophers.