Video: Why does Euclid’s parallel copy construction break in this weird way?

I have a very nonconventional approach to math. There’s a fake question that’s posed a lot in math, which is is mathematics invented or discovered? I previously thought it was a stupid question because it has no impact on how one does math, until I heard a useful answer. The useful answer was from 3blue1brown […]

(Video) Sharper intuition for tensors

Previously, I wrote a post laying out some rough intuition for tensors. I made a video where I took the intuition one additional step closer to being concrete The basic setup is we have a matrix. We then just ask simple questions about the matrix, and see how this “tensor” structure emerges as a natural(ish) […]

Rough intuition for tensors

As part of some original work I’m doing (which I will be elucidating here for you all soonish), I’ve been learning about tensors, a subject with which I am only vaguely familiar. The tensor abstraction is very mathematically weird, because it is stateful. It’s almost like object-oriented programming ported into mathematics. Despite it’s mathematical weirdness, […]

QAnal is exactly Entropist mathematics

The two thinkers who have had the most influence on my thinking are Norman Wildberger and Nassim Nicholas Taleb. In a sense, my two big projects are a reflection of each school of ideas: QAnal is Wildberger’s influence, and Entropism is Taleb’s influence. There’s a rough idea here that I haven’t quite figured out how […]

First steps in rational geometry | FQA 4

This is part of an ongoing series called Foundations of QAnal Outline Today we’re going to talk about very basic points and lines geometry. Specifically we are going to address the following questions: What is a point? What is a line? How do we calculate the line that intersects a pair of distinct points (the […]

The SHOCKING truth about determinants

I recently wrote an article about how to code rational arithmetic in Erlang. In the article, I mentioned that the criteria for two rationals a/b and c/d to be equal is if ad – bc = 0. If you are even a little bit familiar with linear algebra, you will recognize that as a determinant. […]

Rational number arithmetic in Erlang | FQA 2

This is post number 2 in an ongoing series called Foundations of QAnal. Outline The goal for today is for you to understand what a rational number is how it is represented in Erlang how the operations are defined basic properties of the operations This is going to be brief (ish). I want to talk […]

Experimental new series: Foundations of QAnal

I may or may not stick with this. I am having horrible writer’s block trying to write this all out in a LaTeX PDF, Erlang, my videos, or in my Revelations. So I’m trying the blog medium. The blog has the “fire and forget” property. So we’ll see. QAnal is my fork of mathematics. QAnal […]

Standarditis

This is a repost of a Substack post If you don’t know, I have a series of “podcast length” mathematical documents that I call Revelations, which you can find on my GitLab. I’m composing a new one (Revelations 27) right now about WF Algebra, which is a mindblowing take on formal logic. I wrote out […]