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This review of contemporary discussions of Kantian philosophy of mathematics is timed for the publication of the essay Kant’s Philosophy of Mathematics. Volume 1: The Critical ... ... 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... ... pp. 605-630. Heis, J., 2020. Kant on Parallel Lines: Definitions, Postulates, and Axioms. In: C. J. Posy and O. Rechter, ed. 2020. Kant’s Philosophy of Mathematics;...

... 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’ objects, mathematical objects are of abstract nature and they are introduced using Hume’s principle of abstraction. Based on the doctrine of schematism, Kant develops an original theory of abstraction: Kant’s schemes serve as a means to construct mathematical objects, as an “action ...

... 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, A713/В 741], which is “thoroughly grounded on definitions, axioms, and demonstrations” [CPR, A726/В 754]. Mathematical objects, unlike specific ‘physical’ objects, are of abstract nature (a-obj¬ects vs. the-objects) and are introduced (defined) within Hume’s principle of abstraction. Based on his doctrine of schematism, Kant develops an original theory of abstraction: Kant’s scheme serve as a means to construct ...

... ed. N. Y., 1962. 10. Melnick A. Kant’s Analogies of Experience. Chicago; L., 1973. 11. Rohs P. Transzendentale Logik. Meisenheim am Glan, 1976. 12. Stuhlmann-Laeisz R. Kants Logik. B.; N. Y., 1976. rules and laws of transcendental logic, schema, the axioms of intuition, anticipations of perception, analogies of experience, postulates of empirical thought Semyonov V. Ye. 18-32 10.5922/0207-6918-2011-3-2