Essays

I write about logic, mathematics, and minds (artificial or organic) and the deep questions that connect them. What does it mean to reason correctly? Can machines truly think and understand? What is infinity, and can it be tamed? These questions sit at the heart of some of the greatest intellectual revolutions in history, from Aristotle to Kant to Cantor, and are more urgent today than ever.

• Saul Kripke — Times Literary Supplement (to appear) — Alexander V. Gheorghiu

• By inference: An alternative account of logic — Times Literary Supplement (Oct 2025) — Alexander V. Gheorghiu

• High School Algebra and the Limits of AI  — Mathematics Today (Oct 2025) — Alexander V. Gheorghiu*

*Graham Hoare Prize 2025 winning article

• The Mathematics of Double-checking Programs — Mathematics Today (Jan 2025) — Alexander V. Gheorghiu

• Researchers have invented a new system of logic that could boost critical thinking and AI — The Conversation (Nov 2024) — Alexander V. Gheorghiu