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  1. Exploratory experimentation in experimental mathematics: A glimpse at the PSLQ algorithm.Henrik Kragh Sørensen - 2010 - In Benedikt Löwe & Thomas Müller (eds.), PhiMSAMP: philosophy of mathematics: sociological aspsects and mathematical practice. London: College Publications. pp. 341--360.
    In the present paper, I go beyond these examples by bringing into play an example that I nd more experimental in nature, namely that of the use of the so-called PSLQ algorithm in researching integer relations between numerical constants. It is the purpose of this paper to combine a historical presentation with a preliminary exploration of some philosophical aspects of the notion of experiment in experimental mathematics. This dual goal will be sought by analysing these aspects as they are presented (...)
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  • Zionist Internationalism through Number Theory: Edmund Landau at the Opening of the Hebrew University in 1925.Leo Corry & Norbert Schappacher - 2010 - Science in Context 23 (4):427-471.
    ArgumentThis article gives the background to a public lecture delivered in Hebrew by Edmund Landau at the opening ceremony of the Hebrew University in Jerusalem in 1925. On the surface, the lecture appears to be a slightly awkward attempt by a distinguished German-Jewish mathematician to popularize a few number-theoretical tidbits. However, quite unexpectedly, what emerges here is Landau's personal blend of Zionism, German nationalism, and the proud ethos of pure, rigorous mathematics – against the backdrop of the situation of Germany (...)
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  • When Logic Meets Engineering: Introduction to Logical Issues in the History and Philosophy of Computer Science.Liesbeth De Mol & Giuseppe Primiero - 2015 - History and Philosophy of Logic 36 (3):195-204.
    The birth, growth, stabilization and subsequent understanding of a new field of practical and theoretical enquiry is always a conceptual process including several typologies of events, phenomena an...
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  • Reading Gauss in the Computer Age: On the U.S. Reception of Gauss’s Number Theoretical Work (1938–1989).Maarten Bullynck - 2009 - Archive for History of Exact Sciences 63 (5):553-580.
    C.F Gauss’s computational work in number theory attracted renewed interest in the twentieth century due to, on the one hand, the edition of Gauss’s Werke, and, on the other hand, the birth of the digital electronic computer. The involvement of the U.S. American mathematicians Derrick Henry Lehmer and Daniel Shanks with Gauss’s work is analysed, especially their continuation of work on topics as arccotangents, factors of n2 + a2, composition of binary quadratic forms. In general, this strand in Gauss’s reception (...)
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