Re: Alien math

On Dec 23, 7:53 am, Seo Sanghyeon <sanx...@xxxxxxxxx> wrote:
I often heard that math is universal, that aliens would use prime
numbers in their signals, etc., but math is vast and surely not all of
them are "natural", "inevitable", or "unavoidable"?

So, if aliens do math, would they have:

Zermelo-Fraenkel axioms?
Axiom of choice?
Continuum hypothesis?
Goedel incompleteness?
Peano axioms?
Unique factorization?
Quadratic reciprocity?
Prime number theorem?
Riemann hypothesis?
Fermat's last theorem?
Pythagorean theorem?
Platonic solids?
Parallel postulate?
Curvature?
Matrix multiplication?
Determinant?
Real number?
Complex number?
Fundamental theorem of algebra?
Group axioms?
Field axioms?
Galois theory?
Monster group?
Fundamental theorem of calculus?
Epsilon-delta definition of limit?
Graph theory?
Topology?
Boolean algebra?
Turing machine?
Computability?
Computational complexity?
Central limit theorem?
Nash equilibrium?
Feigenbaum constant?

What else?

Well, if they live in the same universe as we do, they are also
governed by the laws of the universe. In that case, maybe there is a
need for partial differential equations (or some equivalent) - the
rest of the stuff - probably not.

If they live in some parallel universe or sub-universe or alternate
universe, perhaps then they need something like string theory or
quantum theory or some universal unifying theory related math
(whatever that is).
.

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