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i thought about this all last night
"division by 0" is an operator. division is an operator class that takes a quantity as its modulator. division by 0 as an operator does not exist; division is the grouping of pieces, so youre applying "no groupings" to a number. youre not making "no groups" of a number which would be 0, youre simply.. not grouping it at all. if you dont partition a number into groups, you cant know how many numbers per group there are; its a nonsensical statement. division by 0, or any R/0 is a non meaningful statement, aka, it doesnt have a perturbation in reality. so it does not exist
further note - 0 is actually intimately related to DNE. 0 is the statement of "object DNE". in a sense "/0" means division DNE (with division being the object in question)
