>>11123142there is a sameness between | | and • •, a sameness betweeen ### and @@@, and a difference between the first superset and second, a difference thats defined by being quantifiable, a difference thats different from the difference between ## and ####.
So we symbolize these apparent and obvious differences, label them numbers, and get on. 1+1=2.
but what if 1 were a bucket of water, and 1 were another bucket. pour one into another and you still have one bucket of water, volume being an irrelevant quantity here.
so is math a social construct? no, it exists. but the axiomatic systems we chose to focus on certainly depend on whats most common, consistent, and useful in the animal world.
