XKCD’s NP-Complete

Opening paragraph: “I was reading XKCD along with a friend and we came across a comic. He wanted to continue reading but I wanted to solve it! […]” Extensive mathematical symbols necessitates a PDF file. XKCD’s NP-Complete ETA: Some of the data in the PDF is missing it seems. I do not have a backup.

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Induction and a probability formula

I thought about how induction relates to the probability of something, and I came up with this formula. Induction is here taken as repeated confirming observations of some theory or hypothesis. Formula. When the amount of confirmed observations, O, of a hypothesis goes towards infinity, then the probability of the hypothesis given the observations, Pr(H|O),…

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Some different deterministic theses

Determinism is a fairly broad thesis, and some formulations of it does not “work” with Swartz’s regularity theory. Below I have outlined some different deterministic theses. Minimal Causal Determinism (MCD): All events are caused. Necessarian Causal Determinism (NCD): “[G]iven a specified way things are at a time t, the way things go thereafter is fixed…

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Worldviews and mistaken beliefs, a paradox

Here’s a little paradox that I’ve come across while thinking. It’s about worldviews and knowing that at least one thing I currently believe to be true is actually false. The argument 1.      For all x, if x is a belief in my worldview, then I hold that belief. [Premise] 2.      If for all x, if…

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Meaning, propositions, category errors

I quote Swartz: “What sort of thing is my pen’s  being on my desk? We are inclined to say such things as “My pen’s being on my desk is true,” which would suggest that my pen’s being on my desk is a proposition; but we are also inclined to say such things as “My pen’s…

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