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Let's talk about conspiracies.

Take supremum of any fact. Now just take that minus any epsilon which will equate to a falsehood and you have less than the supremum of the fact. This can produce a symptom called paranoia and leads to delusional and conspiratorial thinking. It is essentially a lack of trust in facts. It undermines values and clouds decision making. It may or may not be useful in motivating research and producing scientific leads. It may effectively catalyze conducting research and speculative writing.

Is there any applications to abuse the supremum of a random walk through a network/graph? e.g. is it really possible to have a slave trade without such a thing? is gateway real? who do you really know that's an outsider? isn't an observer just an epsilon? what could a disturbed environment cause in effect to such an observer? to what extend do we rely on the environment, really?