Thank you for the common sense analogy. I have a 'hunch' that one could whip up a proof based on countably vs uncountably infinite mappings where the number of ways to deceive/offend outweigh the number of authorities which could police them, even assuming such ideals as perfect enforcement and willingness to submit to being policed (i.e. international uniformity of laws). But that's just a first-coffee-of-the-morning hunch.
It's hard to see how theorems about infinite sets can apply directly apply to human relationships.
Maybe you'll just make a heuristic argument showing that something grows as n² or 2ⁿ? For example, the number of possible relationships among n people grows as n². The world's population of about 7490000000 individuals would support about 28050049996255000000 potential relationships between individuals, or twice that many opinions that individuals have about one another.
My math prowess isn't up to the task but I'd love to see such a proof if it exists. Not because I don't believe it would support the point (I have the same 'hunch') but because the math geek in me would eat it up.
