Issue #54

Abstract: This article attempts to examine the concept of “analogy,” introduced by mathematician André Weil in his famous 1940 letter to his sister Simone, as a principle of thought that extends beyond mathematics. The author traces the development of this idea by André Weil in Alexander Grothendieck’s revolutionary “toposes” and “lawless spaces,” as well as in the way mathematics realizes its “unreasonable effectiveness” (Wigner) in physics. The article’s primary goal is to retrieve André Weil’s letter from the history of mathematics and read it through the eyes of its addressee, Simone Weil, discovering examples of analogy understood in this way in her philosophical and historical-religious legacy. Specifically, using her concept of “gravity” as a universal law of subordination, opposed to “grace,” it is demonstrated that Simone Weil’s analogy operates not as a comparison of different worlds, but as a connection between heterogeneous spaces — physics, ethics, politics, and mysticism — through a common “bridge” of suffering, labor, and necessity. Ultimately, analogy emerges as a “rebellious” tool of resistance to hierarchies and laws, allowing for the unification of incompatibles without reducing them to a single foundation. The parallels drawn in the article between Grothendieck’s mathematical anarchism and Simone Weil’s anti-hierarchical thought allow for a new perspective on the connections between science, politics, and religion.