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15 October 2021
‘Today, Ethical Questions Are Front and Centre’
The conference on Philosophy and Culture in Time of Pandemics ran from September 30 to 2 October 2021. It was divided into seven sessions held in a hybrid format. The organizers and participants discussed major topics such as social transformation during the pandemic, the role of mass media in shaping perceptions of the pandemic, and the epistemological and ethical issues that have arisen as a result.
13 October 2021
Experts Discuss Changing Corporate Social Responsibility in Light of the Pandemic
The pandemic has forced many companies to rethink their approach to charity and to change their priorities in terms of corporate social responsibility. Meeting the needs of the elderly, women, and people with disabilities is a top priority, and the social agenda is becoming a key part of HSE University’s educational programmes. These topics were discussed at the business dialogue on Corporate Social Responsibility Beyond COVID-19 hosted by the HSE Graduate School of Business.
13 October 2021
HSE University Shapes Global Chain of Foresight
The COVID-19 pandemic has demonstrated our swift adaptation to big challenges and strengthened cooperation ties between researchers, politicians, and entrepreneurs on national and global levels. The accumulated life and goal setting practices in the new reality will be discussed on October 15–26, 2021 by participants of the XI International Academic Conference ‘Foresight and Science, Technology and Innovation Policy’ organised by the Institute for Statistical Studies and Economics of Knowledge (ISSEK).

Book chapter

Математика как «работа» с абстрактными объектами: онтолого-трансцендентальный статус математических абстракций

С. 417-449.
Катречко С. Л.
Moscow Philosophy of Mathematics Seminar’s sixth Collection of papers grew out of the 3rd Conference “Philosophy of Mathematics: Actual Problems” which was held in Lomonosov Moscow State University (Faculty of Philosophy) on September 27/28 2013. The 2013 meeting was focused on “Mathematics and Reality”.   This book may be of interest to philosophers and historians of mathematics and physics, as well as to logicians, mathematicians, psychologists, postgraduate and PhD students in all areas of mathematics and natural sciences.   Key words: philosophy of mathematics, philosophy of physics, ontology, realism,  Platonism,  antirealism,  the  applicability  of  mathematics,  mathematization, “unreasonable effectiveness of mathematics”.  
Language: Russian
Full text (PDF, 198 Kb)
Keywords: philosophy of mathematics

In book

Математика как «работа» с абстрактными объектами: онтолого-трансцендентальный статус математических абстракций
Математика и реальность. Труды Московского семинара по философии математики
М.: Издательство Московского университета, 2014.
Similar publications
XXII World Congress of Philosophy
Vol. 41: Philosophy of mathematics. 2008.
Added: Jun 7, 2018
Transcendental Analysis of Mathematics: the Transcendental Constructivism (Pragmatism) as the Foundation of Mathematics
Katrechko S. L. Humanities. HUM. Basic Research Programme, 2015
Kant's transcendentalism is associated with the study and substantiation of objective value as a human way of cognition as whole and individual kinds of our knowledge. This article is devoted to Kant’s understanding (substantiation) of mathematics as cognition via constructing of concepts. Unlike the natural sciences the mathematics is an abstract – formal cognition, “[its] thoroughness is based on definitions and axioms” [B754]. The article consequently analyzes each of these components. Mathematical objects are determined by the principle of Hume. Transcendentalism considers the question of genesis and ontological status of concepts. To solve them Kant suggests the doctrine of schematism, which is compared with the modern concepts of mathematics. We develop the dating back to Kant original concept of the transcendental constructivism (pragmatism) as the programme of substantiation of mathematics. We also give a brief comparison of the axiomatic method of Kant and Hilbert.  “Constructive” understanding of mathematical constructions (calculations) is a significant innovation of Kant. Thus mathematical activity is considered as a two-level system, which supposes a “descent” from the level of rational understanding to the level of sensual contemplation and a return “rise”. The article also examines the difference between the mathematical structures and logical proofs. In his concept Kant highlights ostensive (geometric) and symbolic (algebraic) design. The article analyses each of them and shows that it is applicable to modern mathematics, in activity of which both types of Kant's constructing are intertwined. 
Added: Mar 19, 2015
Трансцендентальный анализ математики: абстрактная природа математического знания
Катречко С. Л. Кантовский сборник. 2015. Т. 52. № 2. С. 16-31.

Kant's transcendentalism is associated with the study and substantiation of objective value as a human way of cognition as whole and individual kinds of our knowledge. This article is devoted to Kant’s understanding (substantiation) of mathematics as cognition via constructing of concepts. Unlike the natural sciences the mathematics is an abstract – formal cognition, “[its] thoroughness is based on definitions and axioms” [B754].

The article consequently analyzes each of these components. Mathematical objects are determined by the principle of Hume. Transcendentalism considers the question of genesis and ontological status of concepts. To solve them Kant suggests the doctrine of schematism, which is compared with the modern concepts of mathematics. We develop the dating back to Kant original concept of the transcendental constructivism (pragmatism) as the programme of substantiation of mathematics. We also give a brief comparison of the axiomatic method of Kant and Hilbert.

 “Constructive” understanding of mathematical constructions (calculations) is a significant innovation of Kant. Thus mathematical activity is considered as a two-level system, which supposes a “descent” from the level of rational understanding to the level of sensual contemplation and a return “rise”. The article also examines the difference between the mathematical structures and logical proofs.

In his concept Kant highlights ostensive (geometric) and symbolic (algebraic) design. The article analyses each of them and shows that it is applicable to modern mathematics, in activity of which both types of Kant's constructing are intertwined. 

Added: Mar 19, 2015
Философия физики: к новым принципам научного знания
Карпенко И. А. М.: ИНФРА-М, 2021.

The monograph "Philosophy of Physics: towards New Principles of New Knowledge" is intended both for those who are just discovering the world of philosophy of science in the most fundamental field – physics, and for specialists who are professionally engaged in the topic and are interested in the most relevant research. The author analyzes a number of key problems of modern physics and cosmology, offers original interpretations and solutions, and also discusses the prospects for the development of science in the context of attempts to create a "Theory of Everything". The book focuses on the physical theories of the multiverse, the new principles of scientific knowledge derived from these theories, and the connection between consciousness and concrete physical reality.

Added: Jul 11, 2020
Философия математики в контексте преподавания истории и теории философии и математики, науки и гуманитарных знаний
Барабашев А. Г., Перминов В. Я., Панфилов В. А. Вестник Днепропетровского университета. Серия: История и философия науки и техники. 2012. № 20. С. 27-39.

The significance of the education in the field of philosophy of mathematics as the part of both philosohpy and mathematics at the universities is the subject of the article.

Added: Nov 19, 2013