Math is its own reality. Well many, depending upon which axioms you start with. Computer Science is the same, the theoretical computation stuff that is. In r

Math is its own reality. Well many, depending upon which axioms you start with. Computer Science is the same, the theoretical computation stuff that is. In reality, we can only build pseudo-Turing machines with limited tapes. In the end these are all equivalent to FSAs. Albeit very large ones. >Gabriel's Horn is a good starter example, but you can wave it away with giving the paint "atoms" a finite size, but then there are more subtle constructs which lie in wait, like the Banach–Tarski paradox. What about e or pi? Any transcendental number suffers the same problem as Gabriel's Horn. What point is there to knowing pi beyond a million digits? Recently saw a video that we know almost nothing about a power tower of pi size 4. Not even if it is or isn't an integer. Side note, e^ln(2)=2 is the trivial case of raising one transcendental number to another to get a natural number. This despite both numbers not being related to reality even less so than something like sqrt(2).