Dimensionalidade do espa\c{c}o ou da extens\~ao: nota sobre a contribui\c{c}\~ao do jovem Kant

TL;DR

This paper analyzes young Kant's early ideas on the justification of space's three-dimensionality, exploring their philosophical and physical implications and their influence on modern space dimensionality discussions.

Contribution

It provides a detailed commentary on Kant's 1747 proposal linking space's dimensionality to gravitation, highlighting its philosophical and scientific significance.

Findings

Kant's early conjecture relates space's dimensionality to gravitation.

The work discusses the philosophical challenges in Kant's proof.

It connects Kant's ideas to Newtonian classical field theory.

Abstract

In this article, we present new comments to the article On Kant's First Insight Into The Problem of Space Dimensionality and Its Physical Foundations. In particular, we discuss how the space concept is designed in the first writing of Kant. In this work, dated 1747, the young Kant proposes to discuss how we can justify the three-dimensionality of space . Although he explicitly anticipates that this will demonstrate throughout the text, in fact, he merely relate the dimensionality of the extension to the law of gravitation. Anyway, this speculation went beyond Kant's Philosophy and had impact on the modern discussion about dimensionality of space. Indeed, from the point of view of physics, Kant's conjecture can be understood in the context of formulation of classical fields of Newtonian theory of gravitation. However, some philosophical points that led the young Kant did not succeed in proving the three-dimensional nature of space still deserve attention. This article is aimed to discuss them.