Hacking Truth: Python and the Limits of Mathematics

Are mathematics a reliable way to explain reality? Can we trust them? And more importantly: what role could Python play in such profound questions?

Gödel’s Incompleteness Theorems are pillars of mathematics and computer science, revealing inherent limits in our ability to formalize truth and reason about the world. Their implications reach far beyond logic, touching philosophy, the foundations of computing, and the limits of machine reasoning. Despite their importance, understanding why these results hold can feel inaccessible and abstract.

In this talk, we tackle that difficulty directly. Python will be used not only as a programming language, but as a conceptual tool to understand Gödel’s First Incompleteness Theorem through algorithmic thinking.

We will see how computational ideas make abstract concepts tangible, exploring the intellectual journey from Hilbert’s dream of a complete mathematics to the breakthroughs of Gödel, Church, and Turing. Through this lens, Python helps illuminate the boundaries of logic and computation, offering a new perspective on how mathematics works... and where its limits lie.