Good analogy but is it so crazy to think the concept of counting in a particular direction wouldn't make sense to an alien intelligence? That the way their brai

Good analogy but is it so crazy to think the concept of counting in a particular direction wouldn't make sense to an alien intelligence? That the way their brain processes inputs means that the knowledge of the total number occurs to them either subconsciously or as the result of parallel processing that is beyond what human brains can even imagine being aware of? Even if the input signals being counted are separated by time (e.g. pulses of light or sound), such that their brains must logically store the previous count and increment it as new signals are detected, the concept of ordered addition (i.e. where we can conceive of "x plus y" and "y plus x" as separate concepts, even if they yield the same result) might simply not be necessary or possible in an alien brain. What even qualifies as "addition" at all is somewhat murky - e.g. "addition" of relativistic velocities is non-commutative (*), but is it meaningfully even addition in the same way adding integer counts is? * https://en.wikipedia.org/wiki/Velocity-addition_formula#Properties https://en.wikipedia.org/wiki/Velocity-addition_formula#Prop...