The Story of Mathematical Proof - From Ancient Greece to Modern Logic
The Royal Institution via YouTube
Overview
Syllabus
Intro
My Favourite Proof
My Favourite Response to a Proof
Why Did the Greeks Insist on Proof?
What About Algebra?
Geometric Algebra
Algebra Becomes Efficient
Algebra and Geometry Switch Places
Calculus
Infinitesimals
The Story So Far
The Nature of Logic: Propositions
The Nature of Logic: Predicates
Set Theory- the Theory of Infinity
Uncountability
Cantor's Diagonal Argument
Logic and Computation
Conclusions
Taught by
The Royal Institution