Two models of Kantian construction

Kravanja, Aljoša (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: German classical philosophy, mathematics, geometry, construction, Immanuel Kant
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FF - Filozofska fakulteta
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2023
• Št. strani: Str. 137–155
• Številčenje: Vol. 4, iss. 2
• PID: 20.500.12556/RUL-151911
• UDK: 1Kant I.:514
• ISSN pri članku: 2626-8310
• DOI: 10.1515/jtph-2022-0013
• COBISS.SI-ID: 156915715
• Datum objave v RUL: 25.10.2023

KRAVANJA, Aljoša, 2023, Two models of Kantian construction. Journal of transcendental philosophy [na spletu]. 2023. Vol. 4, no. 2. [Dostopano 4 maj 2025]. DOI 10.1515/jtph-2022-0013. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=151911

Gradivo je del revije

• Naslov: Journal of transcendental philosophy
• Založnik: De Gruyter
• ISSN: 2626-8310
• COBISS.SI-ID: 156911107

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: nemška klasična filozofija, geometrija, konstrukcija, matematika