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Mathematics, Science, and Postclassical Theory

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TLDR
Mathematics, Science, and Postclassical Theory as discussed by the authors is a collection of essays dealing with the intersections between science and mathematics and the radical reconceptions of knowledge, language, proof, truth, and reality currently emerging from poststructuralist literary theory, constructivist history and sociology of science, and related work in contemporary philosophy.
Abstract
"Mathematics, Science, and Postclassical Theory" is a unique collection of essays dealing with the intersections between science and mathematics and the radical reconceptions of knowledge, language, proof, truth, and reality currently emerging from poststructuralist literary theory, constructivist history and sociology of science, and related work in contemporary philosophy. Featuring a distinguished group of international contributors, this volume engages themes and issues central to current theoretical debates in virtually all disciplines: agency, causality, determinacy, representation, and the social dynamics of knowledge. In a substantive introductory essay, the editors explain the notion of 'postclassical theory' and discuss the significance of ideas such as emergence and undecidability in current work in and on science and mathematics.Other essays include a witty examination of the relations among mathematical thinking, writing, and the technologies of virtual reality; an essay that reconstructs the conceptual practices that led to a crucial mathematical discovery - or construction - in the 19th century; a discussion of the implications of Bohr's complementarity principle for classical ideas of reality; an examination of scientific laboratories as 'hybrid' communities of humans and non-humans; an analysis of metaphors of control, purpose, and necessity in contemporary biology; an exploration of truth and lies, and the play of words and numbers in Shakespeare, Frege, Wittgenstein, and Beckett; and a final chapter on recent engagements, or non-engagements, between rationalist/realist philosophy of science and contemporary science studies. This book is a revised and expanded version of a previously published issue of South Atlantic Quarterly. It will be of interest to readers involved in the fields of literary and cultural theory, and the history, philosophy, and sociology of science. Contributors include: Malcolm Ashmore, Michel Callon, Owen Flanagan, John Law, Susan Oyama, Andrew Pickering, Arkady Plotnitsky, Brian Rotman, Barbara Herrnstein Smith, John Vignaux Smyth, and E. Roy Weintraub.

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Book ChapterDOI

Integrating Technology into Mathematics Education: Theoretical Perspectives

TL;DR: The central question at stake in this chapter is: What theoretical frames are used in technology-related research in the domain of mathematics education and what do these theoretical perspectives offer?
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"Casualties and Disasters": Defoe and the Interpretation of Climatic Instability

TL;DR: The Storm of 1703 as mentioned in this paper is a compilation of reports of damage from across England that Defoe prefaced with a long introductory essay about his own experiences and speculations about the causes of the disaster.
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The Philosophical Dullness of Classical Ecology, and a Levinsian Alternative

TL;DR: For example, this article pointed out that ecology appears theoretically redundant within biology and, consequently, philosophically challenging problems related to biology are commonly supposed to be elsewhere in the molecular sphere.
Book ChapterDOI

Analogy and metaphor as essential tools for the working mathematician

TL;DR: It may perhaps sound strange if not bizarre to suggest that metaphors and analogies could and should play a role in the practice of mathematics, let alone to claim that they are essential in present-day mathematics, but that will be precisely the claim in this paper.
Journal ArticleDOI

''Twofold Vibration'': Samuel Beckett's Laws of Form

Ingo Berensmeyer
- 01 Sep 2004 - 
TL;DR: In this paper, the authors test the capability of a different heuristic vocabulary, derived from systems theory and second-order cybernetics, to reconstruct the formal dynamics of Beckett's writ- ing and reveal the structural principle that determines the generation of form in his work.