Aljoša Kravanja (Author)

Abstract

According to Kant, we gain mathematical knowledge by constructing objects in pure intuition. This is true not only of geometry but arithmetic and algebra as well. Construction has prominent place in scholarly accounts of Kant’s views of mathematics. But did Kant have a clear vision of what construction is? The paper argues that Kant employed two different, even conflicting models of construction, depending on the philosophical issue he was dealing with. In the equivalence model, Kant claims that the object constructed in intuition is equivalent to the properties included in the conceptual rule. In the overstepping model of construction, Kant argues that construction goes beyond the concept which is a “mere definition”. What is more, both models of construction can be found in the Doctrine of Method in the first Critique. The paper examines reasons that have led Kant to adopt the two models of construction, and proposes a reading that alleviates the apparent contradiction between the two models.

Keywords

nemška klasična filozofija;geometrija;konstrukcija;matematika;German classical philosophy;mathematics;geometry;construcrion;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FF - Faculty of Arts
UDC: 1Kant I.:514
COBISS: 156915715 Link will open in a new window
ISSN: 2626-8310
Views: 13
Downloads: 3
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary keywords: Kant;Immanuel;1724-1804;
Type (COBISS): Article
Pages: 19 str.
Chronology: 2023
DOI: 10.1515/jtph-2022-0013
ID: 20461667
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