Geodesic
Giacinto Sigismondo Gerdil e il problema dell'infinito
Matematica, cultura e società, Série 1, Tome 5 (2020) no. 1, pp. 33-58

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Infinity has always been an essential problem in philosophy and in mathematics. In this paper we consider it from a very particular point of view since we describe how the cardinal Giacinto Sigismondo Gerdil, a representative of Catholic Enlightenment, since he was well acquainted with scientific and philosophical problems, used a large slice of mathematical theory for a faith apologetic purpose. Indeed in his Mémoire de l'Infini Absoluconsideré dans la Grandeur he tries to prove the impossibility of the actual infinity in the mathematical constructions in order to demonstrate the impossibility of an infinite series of changes that the hypotheses the universe was not created and the time is eternal should imply. He finds that all the mathematical problems involving infinity can be solved by the use of the concept of limit proposed by d'Alembert. 
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Biacino, Loredana; Viola, Gabriella. Giacinto Sigismondo Gerdil e il problema dell'infinito. Matematica, cultura e società, Série 1, Tome 5 (2020) no. 1, pp. 33-58. http://geodesic.mathdoc.fr/item/RUMI_2020_1_5_1_a3/