Afghanistan and the Turing Machine

How do societies modernize? One day they realize that their ways have gotten older, and they transform overnight into liberal democracies with equal rights for all. Not really. Afghanistan The US invaded Afghanistan to spread democracy, women’s rights and universal love (there was something about hegemony in the Middle East, but those are just rumors).Continue reading “Afghanistan and the Turing Machine”

Status battles in The Brothers Karamazov

The Brothers Karamazov is one of the most famous books in the history of literature. It was also Einstein’s favorite book. However, my appreciation for the book proves that (much) lesser mortals also have much to gain from reading it. The book swings primarily between the author’s third person narration of events, and the psychoanalysisContinue reading “Status battles in The Brothers Karamazov”

IMO 1981, Question 3

I had a great time solving the following question a couple of nights back. More so because I’d failed to solve this question in the past. This question is completely unapproachable if you try to use algebra. However, generating simple examples helps. Let me try and write down some solutions to : they are DoContinue reading “IMO 1981, Question 3”