Results: **4**

#### What is Kantian Philosophy **of** Mathematics? An Overview **of** Contemporary Studies

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;...

#### A transcendental analysis **of** mathematics: **The** constructive nature **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 ...

#### A transcendental analysis **of** mathematics: **The** abstract nature **of** mathematical knowledge

... 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 ...

**The** second application **of** transcendental logic

... 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