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pro vyhledávání: '"Jerzy Pogonowski"'
Autor:
Jerzy Pogonowski
Publikováno v:
Zagadnienia Filozoficzne w Nauce, Vol 70, Pp 183-211 (2021)
This review discusses the content of Mateusz Hohol’s new book Foundations of Geometric Cognition. Mathematical cognition has until now focused mainly on human numerical abilities. Hohol’s work tackles geometric cognition, an issue that has not be
Externí odkaz:
https://doaj.org/article/60eaf2a486194cda8696f784d9515368
Autor:
Jerzy Pogonowski
Publikováno v:
Logic and Logical Philosophy. :1-29
The axiom of canonicity was introduced by the famous Polish logician Roman Suszko in 1951 as an explication of Skolem's Paradox (without reference to the L\"{o}wenheim-Skolem theorem) and a precise representation of the axiom of restriction in set th
Autor:
Jerzy Pogonowski
Publikováno v:
Studies in Logic, Grammar and Rhetoric, Vol 66, Iss 3, Pp 673-708 (2021)
In this paper I discuss Ernst Zermelo’s ideas concerning the possibility of developing a system of infinitary logic that, in his opinion, should be suitable for mathematical inferences. The presentation of Zermelo’s ideas is accompanied with some
Autor:
Jerzy Pogonowski
Publikováno v:
Studies in Logic, Grammar and Rhetoric, Vol 66, Iss 3, Pp 709-720 (2021)
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
Autor:
Jerzy Pogonowski
Publikováno v:
Principia. :87-118
Terminy: patologia, patologiczny występują w tekstach matematycznych. Istotne jest to, że w odróżnieniu od negatywnych skojarzeń wiązanych z tymi terminami w życiu codziennym oraz w niektórych naukach (np. patologie społeczne, psychopatolog
Autor:
Jerzy Pogonowski
Publikováno v:
Studia Humana, Vol 9, Iss 3-4, Pp 131-139 (2020)
This note discusses some problems concerning intended, standard, and nonstandard models of mathematical theories. We pay attention to the role of extremal axioms in attempts at a unique characterization of the intended models. We recall also Jan Wole
Autor:
Jerzy Pogonowski
Publikováno v:
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia. 11:127-141
We discuss the role of a heuristic principle known as the Principle of Permanence of Forms in the development of mathematics, especially in abstract algebra. We try to find some analogies in the development of modern formal logic. Finally, we add a f
Autor:
Jerzy Pogonowski
Publikováno v:
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia. 11:153-166
Tłumaczenie
Autor:
Jerzy Pogonowski
This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition. The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What