Why do we define entropy this way?

Hi everyone!

I'm back finally :). In this video I attempt to shed more light on why we use the Gibbs entropy formula, and why it is special. We take the approach (as usual) from an information theory perspective.

For more context perhaps my previous videos would be helpful:

What is entropy? https://youtu.be/YbT__-H5QjA Maximum entropy principle: https://youtu.be/l-akiVsT2mI

My publication history: https://scholar.google.com/citations?user=V2UZXZMAAAAJ&hl=en ... https://www.youtube.com/watch?v=ogymc6VDgyU