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Vencovská A.
Filosofický časopis (Philosophical Journal)
|
2016
|
vol. 64
|
issue 4
575-586
EN
After the development of differential and integral calculus in the eighteenth century, based on infinitely small quantities, mathematics turned away from them and gradually and systematically replaced their use with limit methods (epsilon-delta). This article traces how this process was reflected in the teaching of higher mathematics and to what extent infinitely small quantities returned to the foundations of differential and integral calculus when Abraham Robinson published his book on non-standard analysis. The author goes on to consider the future role of infinitely small quantities, non-standard analysis and Vopěnka’s book Nová infinitní matematika (New Infinitary Mathematics, Praha, Karolinum 2014–2015).
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