Mnoho povyku pro nekonečně málo?

• Authors: Alena Vencovská

Title variants

EN

Much Ado about Infinitely Little?

• Languages of publication: CS

Abstracts

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).

Keywords

EN

infinitely small quantities; infinitesimal quantity; non-standard analysis; Vopěnka’s two worlds

Discipline

• PHILOSOPHY: PHILOSOPHY

• Publisher: Institute of Philosophy, Academy of Sciences of the Czech Republic
• Journal: Filosofický časopis (Philosophical Journal)
• Year: 2016
• Volume: 64
• Issue: 4
• Pages: 575-586
• Document type: ARTICLE

Contributors

author

Alena Vencovská

• Filosofický časopis, redakce, Filosofický ústav AV ČR, v.v.i., Jilská 1, 110 00 Praha 1, Czech Republic