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In mathematics, you can rename everything as you want as long as you continue to comply with the rules.
https://de.wikipedia.org/wiki/Hilberts_Axiomensystem_der_euclidische_Geometry
However, if you exchange with other mathematicians, make sure to comply with common conventions.
you would call a variable
Yes, both systems are countless infinite
Infinitely many letters? Not more.
It’s getting difficult with infinite numbers.