Mathematically speaking, what is an ‘Axiom’?
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Do you remember the game Lil Alchemy? It’s that game where you start with the “basic elements” (earth, wind, fire, water) and you can combine those elements, and the new elements you create, to create all kinds of things.
The starting four elements are like “axioms,” it is what you have to have to start with to make everything else.
These are your basic “undefined elements.” This is just like axioms are your basic undefined rules. You can put the axioms together to make all the other rules.
You can even make weird different types of math, “non-Euclidean geometry” if you decide different rules/axioms must be true (ex: if you decide Circle arcs are lines you get a different kind of geometry; the Poincaré half plane)
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