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.
Month: June 2009
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), […]
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 […]
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 […]
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 […]
Formatting requires a PDF file. modal-logic-formalization
Contrary to what I normally do I’m not going to argue anything in this article. My goal is to spread useful information, mostly in form of links about Hume’s maxim. Hume’s maxim Hume mentions this in his essay An Enquiry Concerning Human Understanding.[i]: 91. The plain consequence is (and it is a general maxim worthy […]