As programming have mathematical foundations, I think it makes more sense to ask what alien mathematic would look like. Would their mathetmatic be isomorphic wi

As programming have mathematical foundations, I think it makes more sense to ask what alien mathematic would look like. Would their mathetmatic be isomorphic with ours? Would they have just their own versions of caluculs, set theory, topology, differential geometry, etc. with just some minor differences? As most of mathematics is based on few simple axioms (from which more complex 'things' are derived[1]) this seems quite unlikely - but on the other hand 'basic and simple' may mean something completely different to them; for example classic geometry for creatures whose vision is not main sense would kind of awkward, also they wouldn't probably think of some integrals as an area. [1] At least that is how I see mathematics right now as a math/cs student; please correct me if I am mistaken.