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<doi_batch xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.crossref.org/schema/5.3.1" xmlns:jats="http://www.ncbi.nlm.nih.gov/JATS1" xmlns:fr="http://www.crossref.org/fundref.xsd" xmlns:ai="http://www.crossref.org/AccessIndicators.xsd" version="5.3.1"><head><doi_batch_id>NONE</doi_batch_id><timestamp>20260531190609576</timestamp><depositor><depositor_name>Immanuel Kant Baltic Federal University</depositor_name><email_address>no-reply@journals.kantiana.ru</email_address></depositor><registrant>Immanuel Kant Baltic Federal University</registrant></head><body><journal><journal_metadata><full_title>Kantian Journal</full_title><issn media_type="print">0207-6918</issn><issn media_type="electronic">2310-3701</issn></journal_metadata><journal_issue><publication_date media_type="print"><month>05</month><day>31</day><year>2026</year></publication_date><journal_volume><volume>1</volume></journal_volume><issue>1</issue></journal_issue><journal_article publication_type="full_text"><titles><title>Kant and new mathematics 100 years later</title></titles><contributors><person_name sequence="first" contributor_role="author"><given_name>A.</given_name><surname>Rodin</surname></person_name></contributors><jats:abstract><jats:p>Cassirer’s critique of Russell’s philosophy of mathematics and the Neo-Kantian philosophy of science and mathematics as a whole is of special relevance in the context of modern mathematics and mathematical physics. The fact that the modern standard axiomatic architecture of mathematical theories does not take into account the object-based character of mathematical knowledge, which was stressed after Kant by Cassirer, complicates the application of new mathematical theories in natural sciences and technology. In particular, this can explain why modern physical string theory is empirically unverifiable; it can be adjusted to accommodate a wide range of possible outcomes of observations and experiments. At the same time, there are reasons to believe that certain recent ap-proaches in foundations of mathematics such as category theory, topos theory, and Univalent Foundations may help to improve the situation in the near future. The problem of applicability of new mathematical knowledge in science and technology shows that the Kantian approach in phi-losophy of mathematics is at least partly relevant to today’s mathematics.</jats:p></jats:abstract><publication_date media_type="print"><month>05</month><day>31</day><year>2026</year></publication_date><pages><first_page>1</first_page><last_page>1</last_page></pages><citation_list><citation key="1"><unstructured_citation>1. Арнольд В. И. О преподавании математики // Успехи математических наук 1998. № 1 (53). С. 229—234.</unstructured_citation></citation><citation key="2"><unstructured_citation>2. Бонола Р. Неевклидова геометрия. М., 2010.</unstructured_citation></citation><citation key="3"><unstructured_citation>3. Кантор Г. Основы общего учения о многообразиях // Труды по теории множеств. М., 1985. С. 63—106.</unstructured_citation></citation><citation key="4"><unstructured_citation>4. Родин А. 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Thereby, it affects human cognition as well as all existence. When discussing this phenomenon, the author uses the methodology that was symbolically described by Kant as the Copernican turn. Wilhelm von Humboldt was one of the first to apply and develop Kant’s method in the theory and philosophy of language. He assumed that language had a priori roots and that it was energeia rather than ergon. The active theory of language (social communication) was further developed in the 20th century within the concept of language symbolism, namely, Ernst Cassirer’s system of symbolic forms. It suggests that communicative structures are independent from real facts, since they participate in the construction of these very objective facts. In the conclusion, the author examines several American theories of language (social communication), namely, relativism (Edward Sapir, Benjamin L. Whorf) and generative grammar (Noam Chomsky). 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Belov)</given_name><surname>Poma</surname></person_name></contributors><jats:abstract><jats:p>This article focuses on Deleuze’s attempt to describe so-called thinking of differences, which severs any connection with the premises of natural pre-philosophical thinking and good will tending towards good and truth. The author believes that Deleuze’s thinking of differences does have a rather evident premise. For Deleuze, thinking is an energy flow or sensual “vitality”.Another approach to analysing the fundamentals of thinking can be found in Kant’s article “What Does It Mean to Orient Oneself in Thinking?” where he speaks of the “need of reason”. Since the “need of reason” is necessary for the practical interest of reason itself, it directs, according to Kant, not only practical reason, but also general systematic and critical thinking. 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The first three documents are published for the first time. Lange’s review, which was initially published in Germany in the German language and was presented earlier by researchers of the “Odessa period” of Rubinstein’s intellectual biography, was checked against the archive document. The mistakes identified were corrected. These documents, as well as old and new publications and studies in the German language made it possi¬ble to reveal certain facts and dates of Rubinstein’s biography, as well as his earlier little or un-known creative projects and plans. For instance, it was established that Rubinstein intended to translate into the Russian and publish Cohen’s smaller religious philosophical works, which he obtained in post-war Odessa with the help of E. Cassirer and B. Strauss. 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