Greek Pure Mathematics and the Infinitude of Primes - Sociology and Pure Maths - N J Wildberger

Explore the historical significance and sociological aspects of pure mathematics in this 33-minute lecture. Delve into the ancient Greek foundations of mathematics, focusing on Euclid's Elements and its enduring impact on mathematical research and education. Examine Euclid's famous proof of the "Infinitude of Primes," critically analyzing the modern interpretation and uncovering potential issues with the claim. Gain insights into the computational perspective of prime numbers and challenge conventional understanding. Ideal for mathematics students seeking a deeper appreciation of the subject's rich history and encouraging healthy skepticism in modern pure mathematics.

Introduction
Mathematics / astronomy / surveying
Euclid's Elements
Prime numbers
Euclid IX Proposition 20
Some big primes