>No one said arbitrary == random! Arbitrary in this discussion is meaning “a person chose it”.
Opposed to what what exactly? Nothing that can be perceived, processed, or communicated by humans fails this test. In that case, all language, logic, and thought is arbitrary. 2+2=4 is arbitrary, because someone chose definitions which fit within a logical construct of assumptions, and those rules too were selected by humans.
Something is not arbitrary simply because alternatives may exist. Alternatives can be more or less useful, and useful for different purposes.
Selection of a definition fit for purpose, is therefore not arbitrary, specifically Because it comes with implications and consequences. It is a distinction with a difference
>A very hot pepper has features of both food and poison. Most things are not perfect binaries, and if you put a dividing line on a spectrum, the placement of that dividing line must be arbitrary. Obviously people try to come up with good definitions of things, but that still doesn’t mean it’s a productive use of anyone’s time/effort deciding which side of an arbitrary divide a thing falls into.
I truly dont understand your example. Is it not a productive use of time to know if a hot pepper is food or poison, despite being on a spectrum? It seems to prove the opposite. Most things are not perfect binaries, but society doesn't throw up our hands and say it isn't productive to delineate food from poison. A definition of poison that excludes hot peppers is clearly more useful for nearly everyone, nearly all the time.
I go by the typical dictionary definitions or arbitrary:
a: existing or coming about seemingly at random or by chance or as a capricious and unreasonable act of will
b: based on or determined by individual preference or convenience rather than by necessity or the intrinsic nature of something
A definition that is thoughtfully constructed to fit within the greater body of human knowledge, logic, and utility is not random, capricious, or motivated by personal preference or convenience.