So Lentricchia has fulfilled one of his purposes in this essay. He has subverted the patriarchy from within: that is, he has subverted Bloom’s literary history as well as the essentialist feminism associated with it. But he has not fulfilled his affiliated purpose of establishing a dialogue between feminists and feminized males. The “feminization” of literary studies by patriarchal figures like Bloom does not account for the feminization of Stoddard, Gilder, Van Dyke, Woodberry, or Stedman. Their feminization, like that of (...) the Stevens who felt positively lady-like, was not the result of patriarchal oppression. And it will not disappear as the result of the subversion of the patriarchy by a feminized male. Mistaking the work of feminization with the work of the patriarch eradicates the feminine. By identifying the difference between a feminization produced by the patriarchy and a feminine cultural sphere, Lentricchia has made room for the different cultural conversation he wants to develop. But this conversation can take place only after the backdrop of an oppressive patriarch can drop away.This conversation might begin with an account of that cultural sphere in which women are the agency to which Lentricchia alludes. It might begin when we recall that the model for the culture’s “Emmeline Grangerfords” was Harriet Beecher Stowe’s Little Eva. The social change Little Eva helped effect was the emancipation of both slaves and slaveholders. Donald E. Pease is professor of English and American literature at Dartmouth College. His articles on nineteenth-century authors and literature have appeared in a number of journals. He is the coeditor, with Walter Benn Michaels, of American Renaissance Reconsidered, and is the author of Visionary Compacts: American Renaissance Writings in Cultural Contexts, which won the Mark H. Ingraham Prize in 1987. (shrink)

Analysis of online mathematics forums can help reveal how explanation is used by mathematicians; we contend that this use of explanation may help to provide an informal conceptualization of simplicity. We extracted six conjectures from recent philosophical work on the occurrence and characteristics of explanation in mathematics. We then tested these conjectures against a corpus derived from online mathematical discussions. To this end, we employed two techniques, one based on indicator terms, the other on a random sample of comments lacking (...) such indicators. Our findings suggest that explanation is widespread in mathematical practice and that it occurs not only in proofs but also in other mathematical contexts. Our work also provides further evidence for the utility of empirical methods in addressing philosophical problems. (shrink)

Records of online collaborative mathematical activity provide us with a novel, rich, searchable, accessible and sizeable source of data for empirical investigations into mathematical practice. In this paper we discuss how the resources of crowdsourced mathematics can be used to help formulate and answer questions about mathematical practice, and what their limitations might be. We describe quantitative approaches to studying crowdsourced mathematics, reviewing work from cognitive history (comparing individual and collaborative proofs); social psychology (on the prospects for a measure of (...) collective intelligence); human–computer interaction (on the factors that led to the success of one such project); network analysis (on the differences between collaborations on open research problems and known-but-hard problems); and argumentation theory (on modelling the argument structures of online collaborations). We also give an overview of qualitative approaches, reviewing work from empirical philosophy (on explanation in crowdsourced mathematics); sociology of scientific knowledge (on conventions and conversations in online mathematics); and ethnography (on contrasting conceptions of collaboration). We suggest how these diverse methods can be applied to crowdsourced mathematics and when each might be appropriate. (shrink)

The Argument Web is maturing as both a platform built upon a synthesis of many contemporary theories of argumentation in philosophy and also as an ecosystem in which various applications and application components are contributed by different research groups around the world. It already hosts the largest publicly accessible corpora of argumentation and has the largest number of interoperable and cross compatible tools for the analysis, navigation and evaluation of arguments across a broad range of domains, languages and activity types. (...) Such interoperability is key in allowing innovative combinations of tool and data reuse that can further catalyse the development of the field of computational argumentation. The aim of this paper is to summarise the key foundations, the recent advances and the goals of the Argument Web, with a particular focus on demonstrating the relevance to, and roots in, philosophical argumentation theory. (shrink)

We argue that there are mutually beneficial connections to be made between ideas in argumentation theory and the philosophy of mathematics, and that these connections can be suggested via the process of producing computational models of theories in these domains. We discuss Lakatos’s work (Proofs and Refutations, 1976) in which he championed the informal nature of mathematics, and our computational representation of his theory. In particular, we outline our representation of Cauchy’s proof of Euler’s conjecture, in which we use work (...) by Haggith on argumentation structures, and identify connections between these structures and Lakatos’s methods. (shrink)

The last century has seen many disciplines place a greater priority on understanding how people reason in a particular domain, and several illuminating theories of informal logic and argumentation have been developed. Perhaps owing to their diverse backgrounds, there are several connections and overlapping ideas between the theories, which appear to have been overlooked. We focus on Peirce’s development of abductive reasoning [39], Toulmin’s argumentation layout [52], Lakatos’s theory of reasoning in mathematics [23], Pollock’s notions of counterexample [44], and argumentation (...) schemes constructed by Walton et al. [54], and explore some connections between, as well as within, the theories. For instance, we investigate Peirce’s abduction to deal with surprising situations in mathematics, represent Pollock’s examples in terms of Toulmin’s layout, discuss connections between Toulmin’s layout and Walton’s argumentation schemes, and suggest new argumentation schemes to cover the sort of reasoning that Lakatos describes, in which arguments may be accepted as faulty, but revised, rather than being accepted or rejected. We also consider how such theories may apply to reasoning in mathematics: in particular, we aim to build on ideas such as Dove’s [13], which help to show ways in which the work of Lakatos fits into the informal reasoning community. (shrink)

We describe recent developments in research on mathematical practice and cognition and outline the nine contributions in this special issue of topiCS. We divide these contributions into those that address (a) mathematical reasoning: patterns, levels, and evaluation; (b) mathematical concepts: evolution and meaning; and (c) the number concept: representation and processing.

The target article by Cohen Kadosh & Walsh (CK&W) raises questions as to the precise nature of the notion of abstractness that is intended. We note that there are various uses of the term, and also more generally in mathematics, and suggest that abstractness is not an all-or-nothing property as the authors suggest. An alternative possibility raised by the analysis of numerical representation into automatic and intentional codes is suggested.

Cerebral Visual Impairment is an umbrella term which includes abnormalities in visual acuity, or contrast sensitivity or colour; ocular motility; visual field and the conscious and unconscious filtering or processing of visual input. Children with CVI have specific needs and problems relating to their development from infancy to adulthood which can impact on their wellbeing. Recent research indicates the complexities of living with CVI but there remains limited information of the full impact of CVI on families’ everyday lives. The qualitative (...) interviews reported here explored families’ experiences to discover the impact of CVI on all aspects of everyday life. Parents and children were invited to participate in semi-structured interviews, either face to face, by phone or video call between January 2018 and February 2019. Topics covered everyday practicalities of living with CVI, focusing on challenges and what worked well at school and home. Interviews were audio-recorded and subject to thematic analysis to look for patterns across the data. Twenty families took part in interviews, with eight children/young people within those families contributing interviews of their own. Four themes were developed from the interviews: Assessment and understanding implications of CVI, Education, Family life, Psychological wellbeing and quality of life. The interviews provide valuable insights into the impact of living with CVI and highlight the need for more awareness of the condition among professionals in both health and education settings. (shrink)

DNA samples on the England and Wales national database matching those found at scenes of serious violent or sexual crimes were identified. The earlier offence leading the sample to appear on the database was noted. The bulk involved theft, drug or other offending. The result, indicating offender versatility, is consistent with most research on criminal careers. Its importance for operational police lies in identifying the contribution made by DNA samples taken after less serious offences in clearing subsequent serious crime, and (...) the importance of taking such samples from as wide a list of apparently ‘trivial’ crime types as possible. Examining specific relationships between early and later offences revealed a significant link between providing a DNA sample following a drug offence and subsequently committing murder. (shrink)

This essay explores the theory of the plastic object as it was developed by the Peruvian art critic Mirko Lauer in the 1970s and 1980s, in dialogue with other ideas related to the Teoría Social del Arte (Social Theory of Art) developed in Latin America. Focusing on the Peruvian cultural debate, the author reconstructs Lauer’s trajectory and emphasises his critique of ‘Marxist aesthetics’, and explores them as conceptual tools for discussing the horizon of contemporary art today.

Originating as a proponent of U.S. exceptionalism during the Cold War, American Studies has now reinvented itself, vigorously critiquing various kinds of critical hegemony and launching innovative interdisciplinary endeavors. _The Futures of American Studies_ considers the field today and provides important deliberations on what it might yet become. Essays by both prominent and emerging scholars provide theoretically engaging analyses of the postnational impulse of current scholarship, the field's historical relationship to social movements, the status of theory, the state of higher (...) education in the United States, and the impact of ethnic and gender studies on area studies. They also investigate the influence of poststructuralism, postcolonial studies, sexuality studies, and cultural studies on U.S. nationalist—and antinationalist—discourses. No single overriding paradigm dominates the anthology. Instead, the articles enter into a lively and challenging dialogue with one another. A major assessment of the state of the field, _The Futures of American Studies_ is necessary reading for American Studies scholars. _Contributors._ Lindon Barrett, Nancy Bentley, Gillian Brown, Russ Castronovo, Eric Cheyfitz, Michael Denning, Winfried Fluck, Carl Gutierrez-Jones, Dana Heller, Amy Kaplan, Paul Lauter, Günter H. Lenz, George Lipsitz, Lisa Lowe, Walter Benn Michaels, José Estaban Muñoz, Dana D. Nelson, Ricardo L. Ortiz, Janice Radway, John Carlos Rowe, William V. Spanos. (shrink)