Explaining Huge Numbers with Richard Elwes

About this episode

The episode explores the concept of huge numbers and their implications on human understanding and mathematics through a discussion with mathematician Richard Elwes.

What does it actually mean for a number to be “big”? In this episode of Breaking Math , Autumn chats with mathematician Richard Elwes to explore how huge numbers reveal the limits of human intuition, language, and even mathematics itself. The discussion moves from exponential growth in pandemics and finance to numbers larger than the universe itself, emerging in games like chess and abstract possibility spaces. Finally, it reaches one of the most profound ideas in modern mathematics: that there are true statements about numbers that can never be proven. This episode challenges how we think about scale, complexity, and the systems we rely on to make sense of reality. Key Topics Limits of ancient numeral systems like Roman numerals Mathematical logic and the concept of huge numbers Evolution of number notation from Roman to Hindu-Arabic systems The significance of place value in expressing large numbers The Mayan long count and its implications for understanding time scales Chapters 00:00 Introduction and Inspiration for the Book 01:39 Redefining Big Numbers 01:55 Limits of Numerical Systems 05:33 Evolution of Number Sense 10:02 Language and Numerical Understanding 11:53 Cultural…

People in this episode

Host: Autumn Phaneuf

Guest: Richard Elwes

Topics covered

• huge numbers
• limits of human intuition
• exponential growth
• number notation evolution
• mathematical logic
• cultural influences on numerical systems

Keywords

• huge numbers
• exponential growth
• numerical systems
• mathematical logic
• number notation
• Mayan long count
• place value

Mentioned in this episode

Books & works: Breaking Math

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