In whose mind is Mathematics an "a priori cognition"?
Massimiliano Berti, Antoine Suarez, and Rocco Tarchini
TL;DR
This paper explores Kant's philosophical claim that mathematics is an innate form of knowledge, linking it to the unsolvability of Hilbert's 10th problem to derive a surprising conclusion.
Contribution
It connects philosophical assumptions with mathematical unsolvability to derive a novel insight about the nature of mathematical cognition.
Findings
Kant's view implies certain limitations on mathematical knowledge.
The unsolvability of Hilbert's 10th problem supports philosophical claims about innate mathematical cognition.
The paper presents a new interdisciplinary perspective on the foundations of mathematics.
Abstract
According to the philosopher Kant, Mathematics is an "a priori cognition". Kant's assumption, together with the unsolvability of Hilbert's 10th problem, implies an astonishing result.
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Taxonomy
TopicsMathematics Education and Teaching Techniques