The Infinite Dialogue

Where philosophy meets mathematics, and thought meets infinity.

A podcast and a book in the making, born from an in-depth conversation between philosopher Raphaël Liogier and mathematician Gregory Chaitin (co-founder of algorithmic information theory).

Recorded during Chaitin’s scientific residency at IAS – UM6P, the dialogue explores infinity, indeterminacy, space, time, consciousness, beauty, and the limits of knowledge—braiding philosophical reflection, scientific insight, and metaphysical curiosity.

Gregory Chaitin

Mathematician and pioneer of algorithmic information theory. Chaitin introduced the Ω (Omega) constant and has written widely on randomness, incompleteness, and the limits of knowledge. In The Infinite Dialogue, he shows how elegance and irreducible complexity guide discovery.

Raphaël Liogier

Philosopher and cultural theorist. Liogier works at the intersection of metaphysics, social imaginaries, and belief systems. In The Infinite Dialogue, he formulates the distinction between reality and the Real and guides readers through the aesthetic and ethical stakes of infinity.

 

  • Infinity made concrete — why motion, time, and continuity require the infinite.

  • Indeterminacy reframed — randomness as a structural feature of reality, not ignorance.

  • Beauty as a guide — how aesthetic judgment disciplines proof and theory.

  • Humility with rigor — Gödel, Ω, and quantum dice against certainty theatre.

  • Voices in dialogue — two distinct minds meeting without jargon or dogma.

Key Themes

Watch the Series

From Dialogue to Book (in progress)

The Infinite Dialogue is becoming a book drawn from the filmed conversations at IAS–UM6P. Bringing philosophy and mathematics into a shared language, it follows Raphaël Liogier and Gregory Chaitin across infinity, indeterminacy, space, time, and consciousness—inviting readers to think at the edge of the knowable.