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Algorithms in Pure Mathematics
2001In this article, we will discuss algorithmic group theory from the point of view of pure mathematics. We will investigate some of the problems and show why many problems are accessible just for a few years. In algebra there are many problems, which are easy to state, sometimes even easy to prove, and where one might be surprised that there is no ...
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The Conception of Pure Mathematics as an Instrument in the Professionalization of Mathematics [PDF]
, 1981 J.D. Bernal characterized the growth of science during the first half of the 19th century by the following paradox: “At the time when science should have been most obviously connected with the development of the machine age, arose the idea of pure science”.
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Formal Conceptual Blending in the (Co-)Invention of (Pure) Mathematics
Concept Invention, 2018D. Gómez-Ramírez, A. Smaill
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Applied Versus Pure Mathematics
2019This chapter is about the conflictual relations among pure and applied mathematical disciplines in the century from circa 1850 to 1950. It shows the historical variations associated with the ways in which boundaries were drawn in this period, and how, often under the influence of the political orientations of China in a global context, the focus upon ...
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Perspectives in the Philosophy of Pure Mathematics
1973Publisher Summary This chapter discusses perspectives in the philosophy of pure mathematics. As in all research philosophical analysis, of concepts and of aims, is needed in mathematics; particularly for the discovery of proper questions and conjectures, and for civilized formulations.
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