Descartes : Mathematics and Sacredness of Infinity

Descartes-agonistes: Physico-mathematics, method and corpuscular-mechanism 1618-33.

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Popularizing Mathematics: From Eight to Infinity

It is rare to succeed in getting mathematics into ordinary conversation without meeting all kinds of reservations. In order to raise public awareness of mathematics effectively, it is necessary to modify such attitudes. In this paper, we point to some possible topics for general mathematical conversation. 2000 Mathematics Subject Classification: 00A05, 00A80, 97B20.

Number, Infinity and Truth: Reflections on the Spiritual in Mathematics

The sacredness of human life.

Christian de Duve’s voluntary passing away on 4 May 2013 could be seen as the momentous contribution of an eminent biologist and Nobel laureate to the discussion about ‘last things’. In contrast to his fellow scientists Ludwig Boltzmann and Allan Turing, who had made a deliberate choice to end their life in a state of depression and despair, de Duve “left with a smile and a good-bye”, as his da...

The Descartes Rule of Sweeps and the Descartes Signature

The Descartes Rule of Signs, which establishes a bound on the number of positive roots of a polynomial with real coefficients, is extended to polynomials with complex coefficients. The extension is modified to bound the number of complex roots in a given direction on the complex plane, giving rise to the Descartes Signature of a polynomial. The search for the roots of a polynomial is sometimes ...