In this preprint, I examine Gaston Bachelard’s 1929 work, La valeur inductive de la relativité, which offers a distinct take on Einstein’s theory of relativity.

Bachelard emphasizes the “inductive value” of tensor calculus, particularly focusing on the “comma-goes-to-semicolon rule” as a tool for uncovering new physical laws. I explore his view that covariant differentiation serves as a fundamental component of this inductive method, supporting his claim that tensor calculus generalizes equations, revealing novel insights into physical laws beyond specific coordinates.