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Development of the Semantic Space ‘‘Mathematics’’ by Integrating a Subspace of Its Applied Area
AbstractThe article focus on problem of develo** a semantic library by adding a new applied scientific field. The addition to the main content of...
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Reverse Mathematics
Reverse mathematics is a new take on an old idea: asking which axioms are necessary to prove a given theorem. This question was first asked about the...
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Semiosphere lens for mathematics teacher education
This paper discusses the lack of compulsory practices for mathematics teachers’ professional development in Italy, as well as the challenges that...
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The Mathematics of László Lovász
This is an exposition of the contributions of László Lovász to mathematics and computer science written on the occasion of the bestowal of the Abel...
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Creating New Mathematics by Schoolchildren
AbstractThe paper discusses an example of an educational project in modern mathematics in which school students create mathematics that is new to...
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Modeling Problems of Dynamics and Development of Scientific Areas of Mechanics and Applied Mathematics
AbstractThe paper discusses the development of scientific areas of mechanics in the research by the honorary professor of St. Petersburg State...
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Primary School Mathematics in the Context of Digitalization
AbstractWe consider the content and methods of teaching mathematics in primary school in the context of digitalization. The necessity of a...
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Philosophy Behind Mathematics
In this chapter, we look at how philosophical standpoints widely held by mathematicians, conventionalism, and logical positivism were brought about...
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The Impact of Political Decisions on Mathematics
This last chapter analyzes a selection of cases where political decisions affected, positively or not, the research and teaching of mathematics: the...
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Three old problems from the Polish school of mathematics
This note deals with three problems posed in the 1930s by two prominent members of the Polish school of mathematics. The first problem is known as...
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Relationships between Mathematics and Art in Their Intellectual History - Reflections According to Max Bense
The research on the interpretation of mathematics as part of the sciences of mind, introduced as ‘Geisteswissenschaften’ in the German philosophy,...
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Reflections on the Relationships between Mathematics and Arts
This research is presenting and reflecting the philosophical analysis by Max Bense of the intellectual history of mathematics as a science of mind....
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The Origins of Modern Mathematics
The creation of modern mathematics standards for definitions and proofs, as well as for the organisation of the corpus, took a long time. The...
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The Epistemological Subject(s) of Mathematics
Paying attention to the inner workings of mathematicians has led to a proliferation of new themes in the philosophy of mathematics. Several of these...
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Mathematics, History of Mathematics and Poncelet: The Context of the Ecole Polytechnique
Jean-Victor Poncelet (1788–1867) is known as a geometer whose mathematical contributions were crucial for the development of what would later become...
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The Epistemological Subject(s) of Mathematics
Paying attention to the inner workings of mathematicians has led to a proliferation of new themes in the philosophy of mathematics. Several of these...
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Applied Mathematics Explored
Following his research on Goldbach Conjecture, Wang Yuan moved to the applications of number theory. He worked with his teacher Hua Loo-Keng to apply...
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History of Mathematics Illuminates Philosophy of Mathematics: Riemann, Weierstrass and Mathematical Understanding
This paper explores two respects in which a study of the history of mathematics can enrich the philosophy of mathematics. First, central concepts in...
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Is Mathematics Connected to Religion?
Modern mathematics has been shaped by the process of secularization of science. Yet even some present-day mathematicians use religious terms behind...
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“As If…”: Architecture Between Art and Mathematics
The paper concerns some aspects of architecture: Architecture can act as a symbol for the transcendent, it can play with the regularizing urge and...
