Explore the controversial perspective on infinity in mathematics in this thought-provoking video lecture. Challenge conventional 20th-century mathematical thinking and consider a new approach for the millennium that emphasizes concrete computations and explicit examples. Examine grammatical tactics used to defend infinity and learn about the proposed Law of Logical Honesty. Discover the potential for developing a more logically sound and computationally relevant mathematics that aligns with modern technology and can be clearly expressed without relying on axiomatic assumptions. Gain insights into the implications of this perspective for various branches of mathematics and the future direction of mathematical research and education.
Overview
Syllabus
Introduction
Complexity
Infinite Sets
Defending infinity
Implications for modern mathematics
Taught by
Insights into Mathematics
