Domestication of Mathematical Pathologies

Autor:	Pogonowski Jerzy
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	paradox mathematical pathology concept formation mathematical intuition History of scholarship and learning. The humanities AZ20-999
Zdroj:	Studies in Logic, Grammar and Rhetoric, Vol 66, Iss 3, Pp 709-720 (2021)
Druh dokumentu:	article
ISSN:	2199-6059 2021-0043
DOI:	10.2478/slgr-2021-0043
Popis:	Certain mathematical objects bear the name “pathological” (or “paradoxical”). They either occur as unexpected and (temporarily) unwilling in mathematical research practice, or are constructed deliberately, for instance in order to delimit the scope of application of a theorem. I discuss examples of mathematical pathologies and the circumstances of their emergence. I focus my attention on the creative role of pathologies in the development of mathematics. Finally, I propose a few reflections concerning the degree of cognitive accessibility of mathematical objects. I believe that the problems discussed in the paper may attract the attention of philosophers interested in concept formation and the development of mathematical ideas.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1005cff8e8334c63b0cc6e41b8d2f189 Zobrazit plný text záznamu View record in DOAJ