I had originally found myself very confused by how the second order axiom of induction restricted PA to a single model, leading to this discussion where I thought doing so would violate the incompleteness theorem. What I misunderstood is that while the axiom schema of induction effectively quantifies over properties...
There is, of course, Kahn Academy for fundamentals. We have already had a discussion on How to learn math. What resources exist detailing which mathematics to learn in what order? What resources exist that explain the utility of different mathematical subfields for the purpose of directing studies?
http://psychcentral.com/news/2011/09/21/cognitive-style-tends-to-predict-religious-conviction/29646.html > Participants who gave intuitive answers to all three problems [that required reflective thinking rather than intuitive] were one and a half times as likely to report they were convinced of God’s existence as those who answered all of the questions correctly. > Importantly, researchers discovered the association between...
How can you precommit to something where the commitment is carried out only after you know your commitment strategy has failed? It would seem to make it impossible to commit to blackmail when the action of blackmail has negative utility. How can you possibly convince your rational future self to...