The Premise
A lot of the ideas we take for granted today rest on assumptions made centuries ago. Many of those assumptions were just declared by fiat or accepted because everyone else was doing it, rather than being checked against first principles.
Shaky Foundation is a personal project where I try to look at these axioms myself. It's just me and a computer, trying to see if the genuine insights of a system still hold up if you take away or invert the parts that were never proven.
The Axiom of Finite Bounds is the first of these experiments. It's a look at what happens to mathematics and physics if you don't assume infinity is real. There are plenty of other spots where our foundational ideas feel a bit thin, and I hope to look at those too.