A transcendental analysis of mathematics: The constructive nature of mathematics
... 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, axioms, and demonstrations” [CPR, A 726/В 754]. Unlike specific ‘physical’ ...
Kant als Mystiker? Zur These von Carl Arnold Wilmans’ dissertatio philosophica
... as intelligible feeling. This rapprochement allows the latter to play an argumentative role that, by serving as ratio cognoscendi of freedom, is also of epistemic value. Kant’s practical philosophy turns out to be based on a quasi-phenomenological intuitionism of finite reason in which aesthetic elements are of such importance that Wilmans’ assertion of its latent similarity to pure mysticism may be justified.
Adorno, Th. W., 2003. Negative Dialektik. In: Gesammelte Schriften in 20 Bänden,...
The role of logic and the study of rationality within N. O. Lossky’s ideal-realistic concept
... органическое целое // Избранное. М., 1991.
7. Лосский Н. О. Обоснование интуитивизма // Лосский Н. О. Избранное. М.,1991.
Popova V. S.
logic, rationality, N. O. Lossky, intuitionism, ideal-realism, laws of logic, analytic and synthetic statements propositions, singular and general propositions,subject and predicate, hypothesis and conclusion, logical connection.
Problems of analytic and synthetic propositions in the history of logic
... 24. Р. 665—667.
17. Lewis C. I. An Analysis of Knowledge and Valuation. Illinois, 1946.
Pushkarsky A. G.
history of logic, image of logic, analytic and synthetic propositions, a priori synthetic judgements, N. O. Lossky’s concept of logic, intuitionism, conceptual
pragmatism, W. V. O. Quine’s philosophy of logic.
The Emergence of Onto-Gnoseology among Russian Intuitivists as Criticism of Neo-Kantianism
... way an onto-gnoseological system as a whole is justified. In revealing the contradictions in Lossky’s conception, I proceed from the critical remarks of S. A. Askoldov (Alexeyev), pointing out that these contradictions stem from an absolutisation of intuition in cognition, the renunciation of the idea of gnoseological transcendence, incompleteness of the theory of immanence and discordance between onto-gnoseological categories. Askoldov’s critical comments clarify the substantive features of Lossky’s ...
Kant’s appearance as an objective-objectual [gegenständlich] representation
... ed. Philosophical Analysis (Ithaca, NY: Cornell University Press), p. 102—118.
19. Collins, A., 1999, Possible Experience: Understanding Kant’s Critique of Pure Reason, University of California Press.
20. Falkenstein, L., 1991, Kant's Account of Intuition, in: Canadian Journal of Philosophy, vol. 21, no. 2, p. 165—193.
21. Falkenstein, L., 1995, Kant's Intuitionism: A Commentary on the Transcendental Aesthetic, University of Toronto Press.
22. Horstmann, R.-P., 1997, Bausteine kritischer Philosophie....
Kant, Gödel, and the problem of synthetic a priori judgements
... 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 served as a philosophical framework for LEJ Brouwer’s programme of intuitionism in the foundations of mathematics. Of interest are the ideas of the great logician and mathematician Kurt Gödel about the analytical nature of mathematics, put forward in a number of his works on philosophy of mathematics. Although he never ...
Types of Representational Content in Kant
... attributed to Kant’s account of representation. The more specific aim is to examine which of these types of content can be regarded as possible without the application of concepts. In order to answer the question, I proceed as follows. First, I show how intuition (in Kant’s sense) can be seen as providing indexical content independently of empirical concepts. Second, I show in what sense the generation of spatial content can be regarded as non-categorial. A key distinction is that a perceptual examination ...
What is Kantian Philosophy of Mathematics? An Overview of Contemporary Studies
... and comments are based on the texts contained in this collection. I first examine the more general questions which have to do not only with the philosophy of mathematics, but also with related areas of Kant’s philosophy, e. g. the question: What is intuition and singular term? Then I look at more specific questions, e. g.: What is the subject of arithmetic and what is the significance of diagrams in mathematical reasoning? As a result, the reader is presented with a fairly complete overview of modern ...