AI may verify proofs, but it can't replace curiosity. In this episode, I travel back nearly 1,800 years to meet Diophantus of Alexandria and explore how his approach to mathematics still shapes modern problem-solving, from Fermat's Last Theorem to today's AI-assisted research. Along the way, we discover why the real value of mathematics isn't finding answers. it's learning how to think.

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• Discover why Diophantus is considered one of history's most influential mathematicians.
• Learn how his work inspired Fermat's Last Theorem centuries later.
• Explore whether AI is changing mathematics. or simply giving mathematicians better tools.

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Music: All music is public domain and has no Copyright and no rights reserved.
Selections from The Little Prince by Lloyd Rodgers
Valorium – by It's Trigi – No Copyright and no rights reserved
Documentary Background – by MiroMax Music – No Copyright and no rights reserved
Blackbook 7/1/01 from On The Sensations of Tone – by Lloyd Rodgers – No Copyright and no rights reserved
Galliard á3 in g by Orlando Gibbons - recorded, mixed, and mastered by Dr. Phillip W. Serna - licensed under the Creative Commons Attribution-Share Alike 4.0 International license
Cute loop [c major] [93bpm] by deadrobotmusic -- https://freesound.org/s/555708/ -- License: Creative Commons 0

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Until next time, carpe diem!

- Gabrielle