Title variants
Much Ado about Infinitely Little?
Languages of publication
Abstracts
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).
Discipline
Year
Volume
Issue
Pages
575-586
Physical description
Document type
ARTICLE
Contributors
author
- Filosofický časopis, redakce, Filosofický ústav AV ČR, v.v.i., Jilská 1, 110 00 Praha 1, Czech Republic
References
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.8300724f-180c-4c57-80ee-2ec29a33f3ed