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Kant’s transcendental philosophy (transcendentalism) focuses on both the human method of cognition in general [CPR, B 25] and certain types of cognition aimed at justifying their objective significance. This article aims to explicate Kant’s understanding (resp. justification) of the abstract nature of mathematical knowledge (cognition) as the “construction of concepts in intuition” (see: “to construct a concept means to exhibit a priori the intuition corresponding to it”; [CPR, A 713/В 741], which is “thoroughly grounded on definitions, ...

... Reappraisal. In: C. J. Posy and O. Rechter, ed. 2020. Kant’s Philosophy of Mathematics; Volume I: The Critical Philosophy and Its Roots. Cambridge: Cambridge University Press, pp. 103-125. Carson, E., 1997. Kant on Intuition in Geometry. Canadian Journal of Philosophy, 27(4), pp. 489-512. Carson, E., 2009. Hintikka on Kant’s mathematical method. Revue Internationale de Philosophie, 250(4), pp. 435-449. Carson, E., 2020. Arithmetic and the Conditions of Possible Experience In: C. J. Posy, O. Rechter, ed. 2020. Kant’s Philosophy of Mathematics; Volume I: The Critical Philosophy and Its Roots. Cambridge: Cambridge University ...

1. Austin J. L. Ifs and Cans // Proceedings of the British Academy. 1956. Vol. 42. 2. Black M. Relations between Logical Positivism ... ... Logical Point of View. Cambridge (Mass.), 1953. 15. Ramsey F. P. The Foundations of Mathematics and Other Logical Essays. L., 1931. 16. Ramsey F. P. Notes on Philosophy... ... 23. Russell B. My Philosophical Development. L., 1959. 24. Schlick M. Die Wende der Philosophie // Erkenntnis. 1929. Vol. 1. 25. Schlick M. Philosophical Papers / ed....

A reflection on the meaning of Kant’s manuscript where he uses the expression ‘metaphysics of science’. 20th century philosophy of science acknowledged ... ... science, which can be only of metaphysical nature. The experience of building a system of transcendental metaphysics combined with mathematics and physics shows that philosophy of science is necessary for solving the most important problems of the humanity ...

Immanuel Kant’s Observations on the Feeling of the Beautiful and the Sublime is examined in the context of the emergence of the epistemological practice of scientific observation.... ... scientific method of observation as well as the corresponding epistemic and literary genre. Baecker, D., 2013. Foreword: A Mathematics of Form, a Sociology of Observers. Cybernetics and Human Knowing, 20(3-4), pp. 5-8. Baeva, A. V., 2019. Historization ...

This article presents an overview of Russian philosophers’ publications in German periodicals of the late 19th/early 20th centuries. At the time, Germany boasted ... ... Burkamp, W. 1929, Losskij N. O. Handbuch der Logik, Kant-Studien, № 34, S. 454—455. 10. Frank, S. 1926, Die russische Philosophie in den letzten fünfzehn Jahren, Kant-Studien, № 31, S. 89—104. 11. Frank, S. 1928, Erkenntnis und Sein, Logos,...

The widespread assessment of the early period of Semyon L. Frank’s work as being influenced by German Neo-Kantianism ... ... Nicholas of Cusa to be one of their forerunners and pointed out the importance of his mathematical ideas for their mathematical studies. Thirdly and lastly, Frank paid particular... ... Werke. Volume 5.2. Edited by H. Holzhey. Hildesheim: Olms. Cohen, H., 1922. System der Philosophie. Erster Teil. Logik der reinen Erkenntniss. Dritte Auflage. Berlin: Bruno...

The Kantian legacy has had a key impact on the landscape of theoretical philosophy in the first half of the twentieth century. Philosophers both in Germany and in Russia saw Immanuel Kant’s ideas as seminal for their philosophical research. The main schools of that era were formed in discussions of the problems ...

The 13th International Kant Congress was held on August 6-9, 2019 in Oslo, Norway. The main tasks of this review are to analyse the central theme of the Congress, “The Court of Reason”, the related spheres of philosophical ... ... Normativity in the Critique of Pure Reason. Cambridge: Cambridge University Press. Rusnock, P., 2004. Was Kant’s Philosophy of Mathematics Right for Its Time? Kant-Studien, 95, pp. 426-442. Serck-Hanssen, S. and Himmelmann, B., eds. 2021. The Court of Reason: ...

Events are the main element in the formation and presentation of a worldview across all the research disciplines in the humanities and other sciences. Cognising and understanding reality requires ... ... into account the temporal factor in the development of reality. The second problem concerns the development of theoretical (mathematical) tools to describe such dynamics. In this connection, we identify the mathematical semantics of event processes. ...

1. Austin, 1956: Austin J. L. Ifs and C ans // Proceedings of the British Academy. 1956. Vol. 42. 2. Black, 1940: Black M. Relations between Logical ... ... : Harvard University Press, 1953. 15. Ramsey,1931: Ramsey F. P. The Foundations of Mathematics and Other Logical Essays. L. : Kegal Paul, Trench, Trübner & Co., 1931... ... Development. L. : Allen & Unwin, 1959. 24. Schlick, 1929: Schlick M. Die Wende der philosophie // Erkenntnis. 1929. Vol. 1. 25. Schlick, 1979: Schlick M. Philosophical...

Both the categories and principles of understanding as well as the ideas and principles of reason build transcendental ... ... Engelhard, Hg. 2004. Warum Kant heute? Systema­tische Bedeutung und Rezeption seiner Philosophie in der Gegenwart. Berlin: De Gruyter, S. 328-351. Brandt, R., 2003. Universität... ... Science. Dordrecht: Reidel, pp. 201-235. Kitcher, Ph., 1992. Kant’s Philosophy of Mathematics. In: C. J. Posy, Hg. 1992. Kant’s Philosophy of Mathematics. Modern Essays...

In this article, I consider Kant’s dichotomy between general and transcendental logic in light of a retrospective reconstruction of two approaches originating in 14th century scholasticism that are used to demarcate formal and material consequences. The first approach (e. g., John Buridan, Albert of Saxony, Marsilius of Inghen) holds that a consequence ...

The article considers the history of George Boole’s main philosophical conception consisting in using his logical-algebraic and theoretical-probabilistic methods ... ... обращения: 15.10.2015). 2. Boole M. E. Collected works : in 4 vols. / ed. by E. M. Cobham. L., 1931. Vol. 2. 3. Boole G. The mathematical analysis of logic, being an essay towards a calculus of deductive reasoning. Cambridge ; L., 1847. 4. Boole G. An ...

.... Benacerraf, P. 1965, What Numbers Could not Be // The Philosophical Review, vol. 74, № 1.27. Beth, E. 1965, Mathematical Thought. Dordrecht.28. Burgess, J., Rosen, G. 1999, Subject with No Object.29. Field, H. 1980, Science without Numbers: a Defense of Nominalism. Oxford.30. Field, H. 1989, Realism, Mathematics and Modality. Oxford.31. Frege, G. 1892, Uber Sinn und Bedeutung // Zeitschrift fur Philosophie und philosophische Kritik, Leipzig.32. Hanna, R. 2001, Kant and the Foundations of Analytic Philosophy, Oxford.33. Hanna, R. 2001, Kant in the XX century. URL: http://spot.colorado.edu/~ rhanna/kant_in_the_twentieth_century_proofs_dec07.pdf34....

... philosophy (transcendentalism) and its central concept — the thing in itself is the kind of concept without which it is impossible to enter Kant’s philosophy (a paraphrase... ... Themselves and Appearances: Intentionality and Reality, Archiv für Geschichte der Philosophie, vol. 61 (1979), p. 293—308. 5. Aquila, R. 1983, Representational Mind:... ... (matematicheskie) ob"ekty, konstrukcii i dokazatel'stva [Transcendental analysis of mathematical activity: abstract (mathematical) objects, structures and proofs], in:...

... Marburger Neukantianismus in Quellen. Basel; Stuttgart, 1986. 28. Jegelka N. Paul Natorp: Philosophie, Pädagogik, Politik. Würzburg, 1992. (Epistemata: Reihe Philosophie; Bd... ... Verlagsgeselschaft,1912. S. 143—146. 70. Saltzman J. D. Paul Natorp’s Philosophy of Religion within the Marburg Neokantian Tradition / Preface by W. H. Capps. Hildesheim;... ... estestvoznanija. (Szhatoje posobije k lekcijam) [Logic. Substantiation and logicalconstruction of mathematics and mathematical natural science]. Translated by V. A. Radzievskij with...

This article considers the amalgamation of N. Bugaev’s arrythmology and G. Leibnitz’s monadology supplemented by G. Cantor’s set theory as the methodological basis ... ... “social engineer” who develops the concept of a good state, whereas the human being serves as material for this social and mathematical structure. 1. Андроник (Трубачев), иеродиакон. К 100-летию со дня рождения ...

The article is devoted to the polemic with Alexander Kravchenko regarding his thesis that the way out of the protracted crisis in linguistics is to use a systemic approach to linguistic semiosis as biological adaptation. The author ... ... 1933—1935. Fenogeneticheskaya izmenchivost' [Phenogenetic varia­bility]. Vol. 1. Moscow (in Russ.). Kudrin, B. I., 2002. Mathematics of cenoses: specific, rank-specific, rank-by-para­me­ter hyperbolic H-distributions and the laws of Lotka, Zipf,...

Logical hylomorphism considers logic as a theory of formal relations. However, it is difficult to give a precise definition of these relations due to a multitude of interpretations ... ... interpretations. Dordrecht, Boston, 1974. Р. 85—132. 16. Dragalina-Chernaya E. Logical hylomorphism revisited // Philosophy, Mathematics, Linguistics: Aspects of Interaction 2014 (PhML-2014). St. Petersburg, 2014. P. 6—11. 17. Dutilh Novaes С. The ...

Debates over Kant’s famous postulate about the existence of synthetic a priori judgements in mathematics, formulated in the Critique of Pure Reason, have been raging for over two centuries. On the one hand, it was fiercely criticised by neo-positivists in the early 20th century. On the other hand, Kant’s ideas on constructive nature of mathematics ...

Probability theory, which emerged as early as the 17th century thanks to the works of Pascal and Fermat, served for a long time as a tool of professional mathematicians.... ... basis for the theory of social choice. However, Condorcet’s ideas on the limits of mathematical constructs’ application in social and moral sciences opened up opportunities... ... Ch., Oeuvres complètes, Oxford, Voltaire Foundation. 18. Picavet, Fr. 1888, La philosophie de Kant en France de 1773 à 1814, Paris, Alcan. 19. Rashed, R. 1974...

This article presents a comparative analysis of the “critical programmes” of Joachim Jungius and I. Kant. J. Jungius’s “criticism” is characterised as methodological,... ... is aimed against the critique of reasoning and is of logical nature. However, according to Jungius, it is not traditional but mathematical logic — which he interprets inthe manner of constructivism — that should be the instrument of critique. Traditional ...

The hybrid genre of poetic treatise occupies a somewhat marginal position within the lit­erary genres landscape. Nonetheless, it holds particular ... ... scientific discourse, a pronounced focus on propositionality as a deter­minant of truth or falsity, and a clearly delineated, mathematically ordered division of state­ments. «…Sborishche druzei, ostavlennykh sud'boyu». A. Vvedensky, L. Lipavsky,...

... that takes place in Kant’s struggle with the central Newtonian concepts. Newtonian space and gravity, in revised form, are of central concern to Kant’s critical philosophy. But Kant adapted and re-evaluated these two concepts in an asynchronous way.... ... III. Edited by H. Turnbull, J. Scott, A. Hall [a.o.]. Cambridge: Cambridge University Press. Newton, I., 1999. The Principia. Mathematical Principles of Natural Philosophy. Translated by I. B. Cohen and A. Whitman. Berkeley: University of California Press....

In this article, I explore the content-related and formal aspects of describing the multidi­mensional semantic organization of a text, particularly, I focus on the possibility of using the apparatus of modal semantics to identify the relationship between sentential complexes. To those ends, I employ the concepts of ...

Decision science is a relatively new discipline: the product of a cross-pollination among mathematics, psychology, economy and a few other branches of knowledge. It studies how humans make their choices and purports to provide a “rational framework for choosing be­tween alternative courses of action when the consequences resulting from ...

The 18th century philosophy actively used the notion of machine in its extended meaning, especially when describing both the world as a whole and its constituent bodies. Consequently,... ... Материя, взятая в себе // Там же. 8. Borsche T., Kaulbach F. Leib, Körper // Historisches Wörterbuch der Philosophie / Hrsg. von J. Ritter, K. Gründer. Bd 5. Basel, 1980. 9. Crusius Chr. A. Einleitung in die wahre und vollständige ...

... Speculative Philosophy, J. N. Tetens sets out to justify the possibility and necessity of metaphysics as a general speculative science. His primary objective is to defend... ... of the corporeal’ dealing with the things corporealand their properties (physics, mathematics, etc.). Both branches of metaphysics require a common basic science, which... ... Philosophietradition // Ernst Platner (1744—1818): Konstellationen der Aufklärung zwischen Philosophie, Medizin und Anthropologie/ Naschert G., Stiening G. (Hrsg.). Hamburg, 2007...

This study explores the organization of multimodal systems, mediated by two types of hierarchical regulations: systemic regulations governing each mode (speech and ... ... semiotic topos of vagueness. In: A. Syro­pou­los and B. K. Papadopoulos, eds. Vagueness in the Exact Sciences: Impacts in Mathematics, Physics, Chemistry, Biology, Medicine, Engineering and Computing. Ber­lin; Boston, pp. 145—180, https://doi.org/10....

The review covers scholarly publications devoted to the philosophy of Hermann Cohen, the head of the Marburg School of Neo­Kantianism, written by Russ­ ... ... pp. 98-100. Belov, V. N., 2015a. Cohens Ethik und ihre Rezeption in der russischen Philosophie des Rechts. IDEA — Studia nad strukturą i rozwojem pojęć filozoficznych... ..., 4(54), pp. 67-81. (In Rus.) Pertsev, A. S., 2023. Hermann Cohen’s Philosophy of Mathematics, or What’s Wrong with the Marburg Method. Voprosy Filosofii, 2, pp. 27-41...

... explain each other, which leads to tautology. In pedagogical literature, the situation is similar. Through comparing the notions of "information" and "knowledge", the author analyses the philosophical and pedagogical approaches to education ... ... 1962. 25. Wiener N. Cybernetics: Or Control and Communication in the Animal and the Machine. P., 1948. 26. Shannon C. E. A Mathematical Theory of Communication // Bell System Technical Journal. 1948. Т. 27. Panteleev E. education, information, knowledge,...

This article analyses the formation of a new type of rationality in N. Lobachevsky's works. The author identifies the reasons for hostility against the new theory of outstanding Russian mathematicians and pays special attention to the development of rationality in Russian philosophical ...

... Osnovopolozheniya arifmetiki. Logiko-matematicheskoe issledovanie o ponyatii chisla [Foundations of arithmetic. Logical and mathematical research on the concept of number]. Translated by V. A. Surovtcev. Tomsk (in Russ.). Heis, J., 2013. Frege, Lotze, and Boole. In: E. H. Reck, ed. The ... .... Meaning and Use . Dord­recht, pp. 239—283. Kripke, S., 2011. Vacuous names and fictional entities. In: S. Kripke, ed. Philosophi­c al troubles . Oxford, pp. 52—74. Lebedev, A. V., ed. 1989. Fragmenty rannikh grecheskikh filosofov. Chast' 1: ...

The movement for the revival of the Scholastic tradition (Neo-Scholasticism) was a reaction to devastating criticism by the representatives of Enlightenment ... .... Cress. Indianapolis, Indiana: Hackett Publishing Company, pp. 1-44. Evstigneev, M. D., 2021. What is Kantian Philosophy of Mathematics? An Overview of Contemporary Studies. Kantian Journal, 40(2), pp. 151-178. http://dx.doi : org/10.5922/0207-6918-2021-2-6 ...

The article deals with the dynamic interaction of events and narratives. As a result of this interaction, stable links ‘events-narratives’ appear; they influence the formation and transformation of social and cultural processes in society. Event-narrative links form the basis of the system of ...

In his first Kant book of 1929 Kant and the Problem of Metaphysics Martin Heidegger focusses, not surprisingly, on one of the two central themes from ... ... der Zeit. Hamburg: Rowohlt. Hegel, G. W. F., 1989. Enzyklopädie der philosophischen Wissenschaften. 2. Auflage. Teil 3: Die Philosophie des Geis­tes. Mit den mündlichen Zusätzen. Frankfurt am Main: Suhrkamp. Heidegger, M., 1960. Sein und Zeit. Tübingen: ...

This article assesses the role of Immanuel Kant’s ideas in the historical philosophy of Gustav Shpet (1879—1937). This theme has been largely ignored by Shpet scholars who have concentrated on comparing his logical-methodological theories with the ideas of representatives of phenomenology ...

... research that Lambert had a defining influence on Kant’s Metaphysical Foundations of Natural Science, also, and above all, with regard to the Newton-critical moments... ... the transcendental metaphysics of Kant’s nature is substantially different from the mathematical methodology of Lambert’s theory of nature. In addition, Lambert stuck... ... M., 1991. Kraft und Wirklichkeit. Kants späte Theorie der Materie. In: Forum für Philosophie Bad Homburg, Hg. 1991. Übergänge. Untersuchungen zum Spätwerk Kants....

Kant’s natural philosophy in the Metaphysical Foundations of Natural Science is heavily influenced by Newton’s Principia. However, a closer look makes it clear that Kant’s project ... ... Kant-Studien, 83(4), S. 399-416. Carrier, M., 2009. Raum-Zeit. Berlin: De Gruyter. Cassirer, E., 1999. Das Erkenntnisproblem in der Philosophie und Wissenschaft der neueren Zeit. In: E. Cassirer, 1999. Gesammelte Werke. 3.2. Hg. von B. Recki. Hamburg: Meiner....

Kant’s dissertation for the Master’s degree Succinct Exposition of Some Meditations on Fire was written in Latin in 1755 as a sample (specimen) preceding a Master’s exam, but its first printing ... ... succincta delineatio... In: K. Rosenkranz, F. W. Schubert, Hg. 1839. Immanuel Kant’s sämmtliche Werke. 5. Theil: Schriften zur Philosophie der Natur. Leipzig: L. Voss, pp. 233-254. Kant, I., 1867. Meditationum quarundam de igne succincta delineatio... In: ...

Postulates play an important role in Kant’s philosophy. Kant’s understanding of this term differs from the previous tradition. For Kant, postulates are originally subjective propositions necessarily supposed ... ... der Sitten. München, 1788. 27. Stattler B. Anti-Kant. München, 1788. 28. Tetens J. N. Ueber die allgemeine speculativische Philosophie. Bützow, Wismar, 1775. S. 27. ND: Über die allgemeine speculativische Philosophie. Philosophische Versu­che über ...

... recent paper, “Things in Themselves: An Interim Report,” Robert Howell says that a philosophically satisfactory resolution of all-too-familiar problems about Kant’s views on the object of knowledge and the nature of things-in-themselves should meet ... ... 1872—1921. Volume 1. N. Y. 10. Russell, B. 1959, My Philosophical Development. London. 11. Russell, B. 1996, Principles of Mathematics. 2nd ed. N. Y. Kant, metaphysics, epistemology, transcendental idealism, things in themselves, radical agnosticism,...

This paper considers Kant’s transcendental philosophy as a special transcendental paradigm (a special type of philosophical research) differing from both the "objective" metaphysics of Antiquity and the "subjective" ... ... matematicheskoy deiatel'nosti: abstraktnye (matematicheskie) ob'ekty, konstrukcii i dokazatel'stva [Transcendental analysisof mathematics: abstract (mathematical) objects, constructions and proofs], Dokazatel'stvo: ochevidnost', dostovernost' i ubeditel'nost' ...