Irosa's Explainers
Hello, and welcome to Irosa's explainers! By the Kamealoha code, I'll follow closely with the "intellectual anarchism" approach to understanding. The way I interpret this in my philosophy is that a new interpretation of the mathematics must be built from the ground up, based on the tools the theory itself used. If a certain theory prefers category theory over differential geometry, I will take a structural approach to the mathematical theory. If that theory is instead built off of pure logic, then I will interpret the mathematics in that theory as code and proof mechanisms as algorithms. The one rule is this: No theory is incorrect if all of its statements are proven to be true! If I can derive everything within the theory based off of the logic it aspouses to represent, then it's up to me to find the easiest and most conceptually rewarding interpretation of the logic that has been given to me; given the mathematical toolbox the theory has provided me with. There is a panoply of correct interpretations of mathematical objects, and I will explain, to the best of my ability, what the most practical understanding of certain mathematical/physical concepts are. I hope that having a bunch of different interpretations of a single mathematical object in your toolbox will help with your creativity!
Table of Contents
Theoretical Physics
This section is for the interpretations of mathematics that I have come up with which help me conceptualize certain aspects of theoretical physics. These interpretations are derived from Lindner-Strauch's "Theoretical Physics, a complete course" which I'm using as a first pass through theoretical physics. These interpretations of physics concepts will serve as my first pass running through them rigorously and in-depth.