The undecidability in the Other AI

This paper argues that psychoanalysis, particularly Lacan's concept of the Other, offers a crucial lens for understanding the implications of Artificial Intelligence (AI). It explores the inherent undecidability and incomputability within both language and formal systems, challenging the supremacy of reason grounded solely in computation. The paper posits that the incomputable is not a system error but an integral part of computation itself, mirroring the inherent incompleteness of the signifying order in Lacan's work. This incompleteness, exemplified by Gödel's incompleteness theorems and the undecidability of problems like the Halting Problem, challenges attempts to base rationality purely on computation.

Michael K C Thanga