On 6/9/23, Undescribed Horrific Abuse, One Victim & Survivor of Many <gmkarl@gmail.com> wrote:
if we consider a=1, b=2, a+b equals 3 or 4 these things represent concepts in the real world if we transfer arithmetic to the real world, the constraints aren’t within the rules of the system anymore, they’re within the systems and behaviors of counted items
maybe a simple relevant system is ones that are bounded. in a computer, values overflow. like putting marbles into a finitely-sized bag, adding 1 to a quantity only works until a maximum is hit. natural systems have this happen slowly, where relative acceleration behaves differently as the speed of light is approached, or a populated system destabilizes as the population exceeds a capacity. incrementation is a linear approximation of the behavior of a system. linear approximations work only on small scales: not when things become extreme.