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2018
Here we present our first case study: the introduction of group theory into quantum mechanics in the 1920s and 1930s. It is helpful in this context to distinguish the ‘Weyl’ and ‘Wigner’ programmes, where the former is concerned with using group theory to provide secure foundations for the emerging quantum physics and the latter emphasizes its ...
Steven French, Otávio Bueno
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Here we present our first case study: the introduction of group theory into quantum mechanics in the 1920s and 1930s. It is helpful in this context to distinguish the ‘Weyl’ and ‘Wigner’ programmes, where the former is concerned with using group theory to provide secure foundations for the emerging quantum physics and the latter emphasizes its ...
Steven French, Otávio Bueno
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Applied Mathematics Is Bad Mathematics
1981It isn’t really (applied mathematics, that is, isn’t really bad mathematics), but it’s different.
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Phylogenetics as applied mathematics
Trends in Ecology & Evolution, 2003View Large Image | Download PowerPoint SlideTheoretical developments in phylogenetics are published in a variety of subject journals, including biology, applied mathematics, combinatorics and computer science. If you rely mainly on the biology literature for recent methodological advancements, as most readers of TREE probably do, what have you missed ...
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Applying Inconsistent Mathematics
2009Inconsistent mathematics has a special place in the history of philosophy. The realisation, at the end of the nineteenth century, that a mathematical theory—naive set theory—was inconsistent prompted radical changes to mathematics, pushing research in new directions and even resulted in changes to mathematical methodology.
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Applied Mathematics An Art and a Science
Journal of the Aeronautical Sciences, 1956International ...
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Apriority and applied mathematics [PDF]
Synthese, 1992 I argue that we need not accept Quine's holistic conception of mathematics and empirical science. Specifically, I argue that we should reject Quine's holism for two reasons. One, his argument for this position fails to appreciate that the revision of the mathematics employed in scientific theories is often related to an ‘expansion’ of the possibilities
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On the placement of applied mathematics
Mathematica Applicanda, 2014I was asked by Professor Vladimir Zwonka an opinion in connection with the ongoing discussion in the Committee of Mathematical Sciences of the place of applied mathematics . After sending him to my preliminary remarks , I decided to expand the text a little more and deliver it to Lords honorable professors ...
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Aboriginal Applied Mathematics
The Mathematical Gazette, 1967Last week I felt that one of my sixth form applied mathematics sets was finding its subject too straightforward. Imaginations had been stuffed with smooth spheres, perfectly elastic and moving as in a vacuum. Methods relied almost exclusively on the less complicated aspects of Newton’s work, with even solid rigid bodies seeming to behave like the ...
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Applied Combinatorial Mathematics.
Biometrika, 1966Edwin F. Beckenbach, K. A. Rybnikov
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