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Published: 25 June 2008
DOI: 10.1215/9780822389118-006
EISBN: 978-0-8223-8911-8
...Three Technologized Mathematics A dominant theme of this essay is a tracking of the alphabet, its corpo‑ real effects, its metaphysical and psychic legacy, and its mediological fate, that is, the possible end of the ‘age of alphabetic graphism’ in the face of technologies of the virtual...
Published: 19 March 2001
DOI: 10.1215/9780822380443-004
EISBN: 978-0-8223-8044-3
... 3 | Mathematical Skepticism The significance of lemma-incorporation for contemporary criteria of math- ematical truth becomes explicit as chapter 1 of Proofs draws to a close. ‘‘The most important developments in logical theory writes Lakatos, ‘‘were usu...
Published: 19 March 2001
EISBN: 978-0-8223-8044-3
... successfully used to formulate and solve many fundamental problems related to the structure and limits of mathematics. What Lakatos wants to contest is assuming that all meth- odological problems about mathematics are adequately addressed only by continuing the mathematicization of mathematics...
Published: 03 November 2004
EISBN: 978-0-8223-9008-4
... part i Mathematics, physics, and engineering Elementary particles? 1 Mirror symmetry: persons, values, and objects Peter Galison At the millennium, there was much talk about ‘‘the end of physics Many physicists believed that their enterprise was coming to a final...
Published: 07 May 2002
DOI: 10.1215/9780822383802-001
EISBN: 978-0-8223-8380-2
... 1 Burn the Mathematics (Tripos) [Problem:] to analyse the motion of a smooth flat coin rolling inside the rough surface of a hollow ellipsoid balanced on the back of a hemispherical tortoise am- bling at constant speed straight up a hill of uniform gradient on Saturn. —I. Grattan...
Published: 17 March 2017
DOI: 10.1215/9780822373094-009
EISBN: 978-0-8223-7309-4
... This chapter presents a category of “mathematical style,” drawing inspiration from a paper by the mathematician Claude Chevalley published in 1935 in the Revue de Métaphysique et de Morale. Comparisons are made with other notions of styles of scientific thinking, such as that developed by Ian...
Published: 01 January 2009
DOI: 10.1215/9780822390831-025
EISBN: 978-0-8223-9083-1
...Seeing Mathematics with Indian Eyes Claudette Engblom-Bradley (Schaghticoke) Claudette Engblom-Bradley (Schaghticoke Tribal Nation) is an associate professor of secondary education at the College of Education of the University of Alaska, Anchor- age. A member of the Schaghticoke Tribal...
Published: 19 March 2001
DOI: 10.1215/9780822380443-002
EISBN: 978-0-8223-8044-3
... successfully used to formulate and solve many fundamental problems related to the structure and limits of mathematics. What Lakatos wants to contest is assuming that all meth- odological problems about mathematics are adequately addressed only by continuing the mathematicization of mathematics...
Published: 09 May 1990
DOI: 10.1215/9780822382881-004
EISBN: 978-0-8223-8288-1
... = Three = Markedness Theory as Mathematical Principle In this way the calculus itself can be realized as a direct recollection. As we left the central state of the form, proceeding outwards and imagewise towards the peripheral condition of...
Published: 04 March 1997
DOI: 10.1215/9780822382720
EISBN: 978-0-8223-8272-0
Published: 20 July 2011
DOI: 10.1215/9780822394440-003
EISBN: 978-0-8223-9444-0
...3. Enumerating Language ‘‘The Unreasonable Effectiveness of Mathematics’’ u Evidence of the predictive success of forensic investigation is now pivotal to the narrative disclosure of many television drama series and scientific documentaries. We are used to seeing criminal profilers and...
Published: 07 May 2002
DOI: 10.1215/9780822383802
EISBN: 978-0-8223-8380-2
Published: 04 March 1997
DOI: 10.1215/9780822382720-002
EISBN: 978-0-8223-8272-0
...Thinking Dia-Grams: Mathematics, Writing, and Virtual Reality Brian Rotman N the epilogue to his essay on the development ofwriting systems, Roy Harris declares: I It says a great deal about Western culture that the question of the origin ofwriting could be posed...
Published: 20 July 2011
DOI: 10.1215/9780822394440-002
EISBN: 978-0-8223-9444-0
...2. Just Figures? Forensic Clairvoyance, Mathematics, and the Language Question u A written symbol long recognized as operating non-alphabetically— even by those deeply and quite unconsciously committed to alphabeti- cism—is that of number. . . . But, despite this...
Published: 12 October 2015
DOI: 10.1215/9780822375074
EISBN: 978-0-8223-7507-4
Published: 17 March 2017
DOI: 10.1215/9780822373094-015
EISBN: 978-0-8223-7309-4
... This chapter is devoted to the conceptual history of “quadratic equation” in China between the first and the eleventh centuries. It argues that conceptual history must rely on a description of how practitioners worked with various elements in their mathematical activity—here mainly problems...
Published: 01 January 1993
DOI: 10.1215/9780822398455-004
EISBN: 978-0-8223-9845-5
... 4 Strengthening the Arts and Sciences: The Natural Sciences, Mathematics, and Engineering ~ RESIDENT FEW'S REPEATED insistence that Trinity College, the un• Pdergraduate...
Published: 07 May 2002
DOI: 10.1215/9780822383802-008
EISBN: 978-0-8223-8380-2
...—comes from mathematics, the physical sciences, and engineering, and its knowledge of history is lamentably small. The other branch, the second-class-citizen branch from which I come, issues from history and the other social studies; its weakness is on the mathematical side. What I’m hoping will be...
Published: 17 March 2017
EISBN: 978-0-8223-7309-4
... mathematical proof? What does it mean to understand a mathematical work? To shed light on these questions, this chapter compares Évariste Galois’s memoir and some of the various ways that it was read and used in the making of Galois theory. It shows that Galois’s successors did far more than simply fill in the...
Book Chapter

By Diane M. Nelson
Published: 12 October 2015
EISBN: 978-0-8223-7507-4