Luca Incurvati, Conceptions of Set and the Foundations of Mathematics. Cambridge University Press, 2020, 238 s.

ŠTĚPÁNEK, Jan. Luca Incurvati, Conceptions of Set and the Foundations of Mathematics. Cambridge University Press, 2020, 238 s. (Luca Incurvati, Conceptions of Set and the Foundations of Mathematics. Cambridge University Press, 2020, p. 238). Pro-Fil: internetový časopis pro filosofii. Brno, 2021, vol. 2021, Vol 22, No 1, p. 53-55. ISSN 1212-9097.

Basic information

• Original name: Luca Incurvati, Conceptions of Set and the Foundations of Mathematics. Cambridge University Press, 2020, 238 s.
• Name (in English): Luca Incurvati, Conceptions of Set and the Foundations of Mathematics. Cambridge University Press, 2020, p. 238
• Authors: ŠTĚPÁNEK, Jan.
• Edition: 2021.

Other information

• Original language: Czech
• Type of outcome: Review
• Field of Study: 60301 Philosophy, History and Philosophy of science and technology
• Country of publisher: Czech Republic
• Confidentiality degree: is not subject to a state or trade secret
• WWW: https://www.phil.muni.cz/journals/index.php/profil
• Organization unit: Faculty of Arts
• Keywords (in Czech): Filosofie matematiky; množina; teorie množin; iterativní pojetí
• Keywords in English: Philosophy of mathematics; set; set theory; iterative conception
• Tags: Reviewed

Abstract

Základem veškeré matematiky je vcelku úzká oblast zvaná teorie množin. Chápání těchto množin proto hraje ve filosofii matematiky klíčovou roli. Tradiční pojetí množiny jako souboru prvků, které mají společnou vlastnost, vede k Russellovu paradoxu. Incurvati proto navrhuje iterativní pojetí množin, které se těmto obtížím nejen vyhýbá, ale zároveň zachovává všechny podstatné vlastnosti.

Abstract (in English)

The foundation of all mathematics is a fairly narrow area called set theory. Understanding these sets therefore plays a key role in the philosophy of mathematics. The traditional concept of a set as a set of elements that have a common property leads to the Russell paradox. Incurvati therefore proposes an iterative conception of sets that not only avoids these difficulties, but also preserves all essential properties.

Links

• MUNI/A/1157/2020, interní kód MU: Name: Aspekty soudobé filozofie III

Investor: Masaryk University