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Submitted October 25, 2024
Published 2024-10-25

Artículos de investigación y ensayos filosóficos

No. 4 (2024): Analítica

INTUITION AND MATHEMATICS. AN INTERPRETATION FROM I. KANT’S CRITIQUE OF PURE REASON


DOI https://doi.org/10.48204/2805-1815.6092

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References
DOI: 10.48204/2805-1815.6092

Published: 2024-10-25

How to Cite

Falcón , C. (2024) “INTUITION AND MATHEMATICS. AN INTERPRETATION FROM I. KANT’S CRITIQUE OF PURE REASON ”, Analítica, (4), pp. 198–206. doi: 10.48204/2805-1815.6092.

Abstract

Abstract: this essay investigates why we intuit and do mathematics from the perspective of Kant's Critique of Pure Reason, focusing on The Discipline of Pure Reason in its Dogmatic Use. It examines how the pure intuitions of space and time provide an essential framework for the construction of mathematical concepts, ensuring their necessity and universality. Although Kant argues that these intuitions are necessary conditions, we argue that it is the development and formalization of mathematical language that truly concretizes and objectifies these intuitions. Additionally, it analyses how philosophy, by changing its method, can address more abstract concepts without suppressing pure intuitions. Finally, the close relationship between pure intuitions and mathematical construction allows us to visualize a framework of understanding between the cognizant subject and mathematical calculation. This framework acknowledges the possibility that any human being, who inherently possesses these intuitions, can construct mathematical concepts.

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