Explore the distinction between object-oriented and expression-oriented mathematics in this 46-minute lecture from the MathFoundations series. Delve into the key example of the unit circle to understand how 21st-century mathematics may shift towards a more expression-oriented approach. Learn about projective bipolynumbers, various interpretations of mathematical concepts, and the polar/pole correspondence. Gain insights into the logical foundations of modern pure mathematics and discover how this new perspective could reshape mathematical thinking.
Object-Oriented Versus Expression-Oriented Mathematics - Arithmetic and Geometry Math Foundations
Insights into Mathematics via YouTube
Overview
Syllabus
Intro to distinction between object and expression oriented maths
The unit circle
Expression-oriented approach
A Projective bipolynumber
Interpretation A
Interpretation B
Simple case of a Projective polynumber
The second most circle
Interpretation C
Polar / pole correspondence
Taught by
Insights into Mathematics
