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.
Medieval Christian and Islamic Mysticism and the Problem of a “Mystical Ethics”
Abstract: In this chapter, we examine a few potential problems when inquiring into the ethics of medieval Christian and Islamic mystical traditions: First, there are terminological and methodological worries about defining mysticism and doing comparative philosophy in general. Second, assuming that the Divine represents the highest Good in such traditions, and given the apophaticism on the part of many mystics in both religions, there is a question of whether or not such traditions can provide a coherent theory of value. Finally, the antinomian tendencies and emphasis on passivity of some mystics might lead one to wonder whether their prescriptive exhortations can constitute a coherent theory of right action. We tackle each of these concerns in turn and discuss how they might be addressed, in an attempt to show how medieval mysticism, as a fundamentally practical enterprise, deserves more attention from practical and moral philosophy than it has thus far received.
Stoic Syllogistic
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.
Continental Feminism Reader
Publisher’s Note: Ann J. Cahill and Jennifer Hansen collect the most groundbreaking recent work in Continental feminist theory, introducing and explaining pieces that are often mystifying to those outside the field and outside academia. With these essays, Continental Feminism Reader begins the process of reanimating feminist politics through the critical tools of its contributors.
Hegel’s Moral Philosophy
Abstract: Hegel’s criticism of morality, or Moralität, has had a decisive influence in the reception of his thought. By general acknowledgment, while his writings support a broadly neo-Aristotelian ethics of self-actualization, his views on moral philosophy are exhausted by his criticisms of Kant, whom he treats as paradigmatic exponent of the standpoint of morality. The aim of this chapter is to correct this received view and show that Hegel offers a positive conception of moral willing. The main argument is presented in two parts: (a) an interpretation of the ‘Morality’ section of the Philosophy of Right that shows Hegel defending a guise of the good version of willing; and (b) an examination of problems raised by this view of willing, some of which are anticipated by Hegel in in his treatment of the ‘Idea of the Good’ in the Logic, and of the interpretative options available to deal with these problems.
Hegel’s Philosophy of Art
Abstract: Despite Hegel’s effusive praise for art as one of the ways humans express truth, art by his description is both essentially limited and at perpetual risk of ending. This hybrid assessment is apparent first in Hegel’s account of art’s development, which shows art culminating in classical sculpture’s perfect unity, but then, unable to depict Christianity’s interiority, evolving into religion, surrendering to division, or dissipating into prose. It is also evident in his ranking of artistic genres from architecture to poetry according to their ability to help humans produce themselves both individually and collectively: the more adequately art depicts human self-understanding, the more it risks ceasing to be art. Nevertheless, art’s myriad endings do not exhaust its potential. Art that makes humans alive to the unity and interdependence at the heart of reality continues to express the Idea and so achieves Hegel’s ambitions for its role in human life.
The Art and Philosophy of George Eliot
Abstract: Much remains to be said about Eliot as a philosopher. I argue that her novels should be understood as attempts to practice philosophy in an alternative key. Her decision to write novels rather than conventional philosophy reflects her desire to actively engage the imaginative and affective, as well as the cognitive, powers of her readers. On her view the imagination grounds our disposition to feel sympathy for our fellow human beings. It is this disposition and its potential for refinement as moral knowledge that she sought to realize in her novels. An appreciation of her philosophical commitments is necessary in order to understand her efforts to construct an immanent ground for moral life. The parts played by the imagination, reason and emotion in the attainment of moral knowledge were of prime concern to both Spinoza and Feuerbach. Each philosopher offered an account of the relations between these capacities and argued for their reformation. This reformative task is one that Eliot attempted in her novels. The radical holism of Spinoza and Feuerbach resonates throughout her work. She had a deep suspicion of dualistic philosophies that separate reason and imagination. Like Spinoza and Feuerbach, she understood these ruptures within our capacities, indeed within our very being, to derive in large part from religion, especially Christianity. The reform of our habitual ways of understanding the world must therefore begin with critical reflection on religion.
Women in Philosophy: What Needs to Change?
Publisher’s Note: Despite its place in the humanities, the career prospects and numbers of women in philosophy much more closely resemble those found in the sciences and engineering. This book collects a series of critical essays by female philosophers pursuing the question of why philosophy continues to be inhospitable to women and what can be done to change it. By examining the social and institutional conditions of contemporary academic philosophy in the Anglophone world as well as its methods, culture, and characteristic commitments, the volume provides a case study in interpretation of one academic discipline in which women’s progress seems to have stalled since initial gains made in the 1980s. Some contributors make use of concepts developed in other contexts to explain women’s under-representation, including the effects of unconscious biases, stereotype threat, and micro-inequities. Other chapters draw on the resources of feminist philosophy to challenge everyday understandings of time, communication, authority and merit, as these shape effective but often unrecognized forms of discrimination and exclusion. Often it is assumed that women need to change to fit existing institutions. This book instead offers concrete reflections on the way in which philosophy needs to change, in order to accommodate and benefit from the important contribution women’s full participation makes to the discipline.
Extensionalism and Scientific Theory in Quine’s Philosophy
Abstract: In this article, I analyze Quine’s conception of science, which is a radical defence of extensionalism on the grounds that first?order logic is the most adequate logic for science. I examine some criticisms addressed to it, which show the role of modalities and probabilities in science and argue that Quine’s treatment of probability minimizes the intensional character of scientific language and methods by considering that probability is extensionalizable. But this extensionalizing leads to untenable results in some cases and is not consistent with the fact that Quine himself admits confirmation which includes probability. Quine’s extensionalism does not account for this fact and then seems unrealistic, even if science ought to be extensional in so far as it is descriptive and mathematically expressible.
Testimonial Smothering and Pornography
Abstract: This paper defends the claim that there are two previously underexplored ways in which pornography silences women. These ways that pornography silences are (1) the smothering of refusal and (2) the smothering of sexual assault reports, and they can be explained in part through Kristie Dotson’s account of “testimonial smothering.” Unlike the work of other writers in the pornography as silencing literature, my discussion of silenced refusal of sex deals with the cases where women have said yes to sex but would have said no if they had felt that they could have. I show that this, and cases where women do not report sexual assault, count as testimonial smothering through identifying rape myths as a species of “pernicious ignorance.” I make the connection to pornography in presenting evidence that pornography contributes to acceptance of rape myths. This takes us to my general conclusion: Dotson’s account of testimonial smothering gives us a way in which pornography contributes to the silencing of women, by silencing their refusal of sex and their reports of sexual assault.