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1

STANISŁAWA ZAREMBY FILOZOFICZNA KONCEPCJA NAUKI

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Polak P.
Kwartalnik Historii Nauki i Techniki
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2015
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vol. 60
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issue 4
99–130
EN
This paper presents Stanislaw Zaremba’s contribution to the philosophy of science. Zaremba is widely known as a mathematican but his philosophical works are less known. His philosophical view of physics and mathematics is strlongly influenced by the French philosophy of science (H. Poincré, P. Duhem). We could also find parallels with D. Hilbert’s view on axiomatisation of physics. He proposed some interesting methodological concepts (e.g. distinction between two stages of theory building: creative and axiomatic, which is similar to later famous Reichenbach’s distinction between “the context of discovery and the context of justification.”). Zaremba presented consistent view of the theory of physics as a deductive structure but certain assumptions related to methods of physics are controversial. His philosophical articles were known to continental philosophers of science, mainly French ones. Unfortunately, Polish philosophers of science from the Lvov–Warsaw School only occasionally cited Zaremba’s papers. It seems that members of the Viena Circle did not know Zaremba’s philosophical papers. In this paper I try to show that Zaremba’s philosophical publications are an important, but forgotten, part of Polish philosophy of science before World War II.
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Pythagorejská matematika vo svetle karteziánskej fyziky

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Kvasz L.
Filosofický časopis (Philosophical Journal)
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2017
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vol. 65
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issue 4
513-541
EN
This paper is the second part in a series of articles aimed at reconstructing the emergence of mathematics as a deductive discipline in ancient Greece in the period between Thales and Euclid. We understand the emergence of mathematics as the birth of a language which enables the undertaking of deductive proofs. While in the preceding part we focused on the beginnings of Greek mathematics in Thales, here we concentrate on Pythagorean mathematics. In the literature the significance of Pythagoras as a mathematician is called into doubt. Despite this, the main part of the paper involves a reconstruction of the cognitive style of Pythagorean mathematics and this reconstruction is the basis for a defence of its authenticity.
3

Powstanie i działalność Zespołu Historii Matematyki

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Wójcik W.
Kwartalnik Historii Nauki i Techniki
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2014
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vol. 59
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issue 4
7–15
EN
In this presentation of the activities of Zespół Historii Matematyki (the Team of the History of Mathematics), an undertaking is made to synthesise the most important projects and events that have taken place during the eight years since its founding in 2007. The main directions of the research of the Team are outlined, which include: the exploration of the development of Polish mathematics in the late 19th and early 20th century in relation to the major discoveries of the European mathematics of that period; the presentation of the most important achievements in the history of the study of the foundations of mathematics; the history of the Riemann zeta function and the history of the emergence of computer methods in mathematics and the study on the relationship between physics and mathematics in the historical perspective. This presentation also introduces important research projects, which emerged during the discussions at the meetings of the Team - it is particularly important to offer an analysis of the speeches of the Polish scholars at the first international congresses of mathematicians and to underline the importance of the new ideas presented there for the development of the mathematical environment in Poland. Additionally, four papers on the history of mathematics, presented in this Kwartalnik, representative for the researches conducted by the Team, are also briefly discussed here.
4

ДИСТАНЦІЙНИЙ КУРС ІСТОРІЇ МАТЕМАТИКИ В ПІДГОТОВЦІ МАЙБУТНІХ УЧИТЕЛІВ МАТЕМАТИКИ

100%
Розуменко А.
Педагогічні науки: теорія, історія, інноваційні технології
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2016
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issue 2(56)
356-364
EN
In the article the urgency of implementing distance learning in the educational process of higher education institutions is discussed. It is proved the necessity to use distance learning courses to train future professionals for continuing education throughout life. Organizational and methodological principles of training course in the history of mathematics are revealed. Such principles of distance learning as teacher-student interaction, self learning by students of training material and ongoing consulting support in the training of students are characterized. The features of traditional forms of teaching in higher education institutions (lectures, practical and laboratory classes, control measures) in distance learning are highlighted. The article analyzes educational and information technologies of distance learning, the content of the main types of distance learning. The author proposes the development of distance course in the history of mathematics that can be implemented in practice of training future teachers of mathematics. The features of distance course in the history of mathematics are highlighted, namely: clearly structured lecture course, accompanied by control issues; a significant number of hyperlinks that allow students to increase the amount of information of the course topics that interested him; mandatory test control for individual topics of the course, the passage of which is necessary for further learning; references and addresses of websites that allow motivated students to study the history of mathematics. The results of the pilot study on implementation of the distance course of history of mathematics in practical training of teachers of mathematics are discussed. The conclusion is made that most students have no personal experience of distance learning, but know that there is such a form; 96 % of respondents consider full-time training qualitative, the second place takes the quality of distance learning; according to the students distance learning is effective for students enrolled on an individual schedule and those who have plenty of spaces for objective reasons. Distance learning can be an alternative provision for objective reasons which prevents the stationary form of education, and it is advisable to offer full-time students teaching some courses they can study remotely at will or by some objective circumstances. Such training courses can make an individual trajectory of the student more flexible and efficient.
5
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Gottlob Frege o liczbie. Przyczynek do określenia roli, jaką dla filozofów pełni historia matematyki

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Besler G.
Zagadnienia Filozoficzne w Nauce
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2013
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issue 53
133-164
PL
In this paper I will focus on Frege’s six crucial claims on numbers. I begin with indicating the reasons for his interest in this topic and conclude with a reflection on the role of the history of mathematics in the practice of philosophy. Frege believed that the study on numbers is a common task for both philosophers and mathematicians. In this article, priority is given to the philosophical aspect.
6

STANISŁAW ZAREMBA (1863-1942) I JEGO DZIAŁALNOŚĆ NA RZECZ MATEMATYKI

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Ciesielska D., Ciesielski K.
Kwartalnik Historii Nauki i Techniki
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2015
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vol. 60
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issue 4
37–70
EN
In October 2013, the 150th anniversary of Stanisław Zaremba birth was celebrated. Zaremba was one of the most eminent Polish mathematicians in history and a scientist of great achievements for Polish mathematics and for the Jagiellonian University. In the poster ”Polish mathematicians” published in 1982 by Springer Verlag on the occasion of the International Congress of Mathematicians in Warsaw, only the pictures of Banach and Sierpiński are greater than Zaremba’s photo. Without any doubts Zaremba is regarded as the best Polish mathematicians of the turn of XIX and XX century. Nevertheless, his great role for the development of Polish mathematics seems to be forgotten. In the paper there are briefly described the life of Zaremba, his achievements in science, teaching and his role in the International Mathematical Union and the Polish Mathematical Society.
7
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Geneza intuicjonistycznego rachunku zdań i Twierdzenie Gliwienki

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Urbańczyk P.
Zagadnienia Filozoficzne w Nauce
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2014
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issue 56
33-56
PL
Among the non-classical logics, the intuitionistic one stands out in many ways. First of all, because of its properties, it is grateful subject of formal analysis. Moreover, there is small, but very significant group of mathematicians and philosophers who claim that intuitionistic logic captures the reasoning utilized in mathematics better than classical one. This article reveals the origins of intuitionistic propositional calculus – it was an outcome of formalization of certain ideas about foundations of mathematics. A large part of the article is devoted to Glivenko’s Theorem – somewhat forgotten, but extremely interesting formal result regarding the relationship between the two logical calculi: classical and intuitionistic propositional logic.
8

STANISŁAW ZAREMBA (1863–1942). PUBLIKACJE, ODCZYTY I WYKŁADY

88%
Ciesielska D.
Kwartalnik Historii Nauki i Techniki
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2015
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vol. 60
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issue 4
71–98
EN
This article provides information about publications and speeches of the Jagiellonian University Professor, Stanisław Zaremba, covering the years of 1900-1935. It includes a list of papers presented by him during meetings of the Academy of Learning in Kraków, international mathematical congresses, conventions and meetings of the Kraków department of the Polish Mathematical Society and conventions of mathematicians of Slavic countries. Moreover, there is a comprehensive list of Zaremba’s lectures delivered at the Jagiellonian University. The article includes also the first list of his publications, including articles and books on mathematics and its applications, mathematical education, philosophy, mathematical physics, mechanics and crystallography. The list includes numbers of reviews, which appeared in „Jahrbuch über die Fortschritte der Mathematik”, „Zentralblatt für Matematik” and „Mathematical Reviews”.
9
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Bernard Bolzano: pierwsze (historycznie) matematyczne ujęcie pojęcia kontinuum

88%
Dadaczyński J.
Zagadnienia Filozoficzne w Nauce
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2018
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issue 64
195-199
EN
Book review: Lukas Benedikt Kraus, Der Begriff des Kontinuums bei Bernard Bolzano, Beiträge zur Bolzano-Forschung, vol. 25, Academia Verlag, Sankt Augustin 2014, pp. 112.
PL
Recenzja książki: Lukas Benedikt Kraus, Der Begriff des Kontinuums bei Bernard Bolzano, Beiträge zur Bolzano-Forschung, vol. 25, Academia Verlag, Sankt Augustin 2014, ss. 112.
10
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Prace z równań różniczkowych w „Pamiętniku Akademii Umiejętności w Krakowie”

88%
Koroński J.
Zagadnienia Filozoficzne w Nauce
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2013
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issue 53
199-230
PL
This paper concerns the general characteristics of the Academy of Arts and Sciences in Cracow and the Memoirs of the Academy of Arts and Sciences in Cracow. Moreover, in the context of the global development of the theory of differential equations we present in this paper the articles of Alojzy Jan Stodółkiewicz (1856-1934), Władysław Zajączkowski (1837-1898), Jan Rajewski (1857-1906), Wawrzyniec Żmurko (1824-1889) and Edward Władysław Skiba (1843-1911) on differential equations, which were published in the Memoirs of the Academy of Arts and Sciences in Cracow.
11
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Prace z równań różniczkowych w „Pamiętniku Towarzystwa Nauk Ścisłych w Paryżu”

88%
Koroński J.
Zagadnienia Filozoficzne w Nauce
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2013
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issue 53
231-262
PL
This paper concerns the general characteristics of the Natural Science Society in Paris and the Memoirs of the Natural Science Society in Paris. Moreover, in the context of the development of the theory of differential equations in the world, we present in this paper the articles of Y. Villarceau (1813), W. Zajączkowski (1837–1898) and W. Folkierski (1842–1904) on differential equations, which were published in Memoirs of the Natural Science Society in Paris.
12

ІСТОРИЧНІ ВІДОМОСТІ ЯК ЗАСІБ АКТИВІЗАЦІЇ ДІЯЛЬНОСТІ СТУДЕНТІВ ІЗ ЗАСВОЄННЯ НИЗКИ ФУНДАМЕНТАЛЬНИХ ГЕОМЕТРИЧНИХ ІДЕЙ

75%
Антонюк О.
Педагогічні науки: теорія, історія, інноваційні технології
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2016
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issue 2(56)
155-162
EN
The purpose of the article is to analyze the possibilities of mathematics’ history for activating students in mastering new geometric concepts, ideas and illustrate them by means of examples. The study used the following methods: theoretical analysis of a number of publications on the subject, synthesizing, deduction. The article refers to the need of increasing students’ cognitive activity for improving the educational process. The work aims to describe a row of aspects of cognitive activity formation by means of history of science. As a result of the analysis of a number of publications on the subject area there were highlighted problematic issues of didactic conditions development of the usage of historical information in the study of geometric disciplines. To illustrate the ability of this tool to increase the cognitive activity of students the article presents examples of biographical information and scientific heritage of R. Dekartes and N. Gulak. Philosophical and mathematical ideas of R. Dekart are as such to interest students and explain them the importance of the ideas of coordinating method of mathematics development. Works of N. Gulak are aimed at facilitating the realization of ideas of non-Euclidean geometry, to describe the role of Lobachevskyi in the appearance of a new hyperbolic geometry. In particular, the biography of N. Gulak with description of his participation in Cyril and Methodius Foundation, his courageous behavior during the criminal and judicial persecution, activities in exile and after, makes considerable emotional impression. Examples of the usage of history of science which are presented in the work eloquently testify to the power of its influence on the educational and training process. Thus, the use of historical material may be the reception that under thorough methodological preparation and systematic use is able to improve the educational process in general, have positive impact on the working atmosphere and students’ capacity for creative activity. And geometry gives many reasons for this, it explains the need of continuation of such research of the various topics that let seamlessly weave historical information in the context of training material program and thus activate the cognitive activity of students.
13
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Aparat matematyczny "De revolutionibus orbium coelestrium" Mikołaja Kopernika oraz jego recepcja w nauczaniu szkolnym realizowanym na ziemiach polskich od XVI do XXI wieku

63%
Karpińska K.
Komunikaty Mazursko-Warmińskie
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2023
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vol. 323
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issue 4
633-664
EN
The article analyses the contents of chapters XII, XIII and XIV of Nicolaus Copernicus’ first book De revolutionibus orbium coelestium. These chapters contain the trigonometric material on which the astronomer based all considerations about heliocentrism. In chapter XII, he built “chords of a circle” tables, which today we would call sinus tables. Chapters XIII and XIV dealt with the solution of flat and spherical triangles. In this paper, this mathematical apparatus has been analysed from a contemporary point of view, using modern symbols and terminology. The analysis was carried out on the reception of Copernicus mathematics in school teaching on the Polish territories from the 16th to the 21st century.
PL
W artykule dokonano analizy treści zawartych w rozdziałach XII, XIII i XIV pierwszej księgi „De revolutionibus orbium coelestium” Mikołaja Kopernika. Rozdziały te zawierają materiał trygonometryczny, na którym astronom oparł wszelkie rozważania dotyczące heliocentryzmu. W rozdziale XII zbudował tablice „cięciw w kole”, które dzisiaj nazwalibyśmy tablicami sinusów. W rozdziałach XIII i XIV zajął się rozwiązywaniem trójkątów płaskich i sferycznych. W niniejszym artykule ten aparat matematyczny został przeanalizowany ze współczesnego punktu widzenia, przy użyciu współczesnych oznaczeń i terminologii. Analizie została poddana recepcja matematyki Kopernika w nauczaniu szkolnym realizowanym na ziemiach polskich od XVI do XXI w.
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