Leaving my head

The TED website hosts a large collection of inspiring talks on many different topics. The talk on how schools kill creativity is particularly fantastic; both funny and insightful, and is in fact the most-watched TED talk to date. During it Ken Robinson makes the following remark:

There’s something curious about professors in my experience — not all of them, but typically — they live in their heads.

Not to put too fine a point on it, this describes me perfectly. (Although I am a graduate student rather than a professor.)

This behaviour has both its strengths and weaknesses. For example, I have almost never felt lonely in my life, despite being alone a good portion of the time. Perhaps this is because by living in my head I am able to keep myself company. Indeed, my modus operandi when thinking about something could be described as a “conversation” with myself in which I try to make arguments for both sides of an issue.

However, like all human emotions, loneliness undoubtedly exists for a reason. In this case, it seems to be a trigger to make friends, which in turn improves one’s well-being. Without loneliness one has less short-term pain, but also less motivation to seek out ultimately beneficial connections.

In my case, I never gave much thought to the downsides, or even viewed them with a kind of perverse pride; the “cost of doing business” as it were. In short, I didn’t make much of an effort to ameliorate the absent-mindedness; in fact, I thought such traits were essentially unchangeable.

Early this year I decided to make a conscious effort to get out of my head. There were multiple reasons, but one is that almost every job I do involves interacting with other people in some way, so I figure that becoming more empathetic will actually improve the quality of my work.

How does one go about venturing out of their head? Well, I am still learning that. One step I’m taking is to learn—and remember!—the names of people I recognize from somewhere. I haven’t had a 100% success rate, but I’m already much better than I was previously, when I would be likely to forget someone’s name before my conversation with them had finished. Additionally, I will not ignore the fact that yes, I have a body, and to this end will pay more attention to things like exercise, diet, and appearance.

Pokémon Yellow is Turing complete

If you’re anything like me, this will simultaneously shock you, warm your heart, and leave you laughing at its convoluted brilliance.

The video is about 13 minutes long, but the payload comes in the last 30 seconds, where balloons are displayed on screen while music plays in the background. What’s so special about that? The image and music featured do not exist anywhere in the game—they were manually programmed to appear in it by taking advantage of game bugs shown in the first 12 minutes of the video. Assuming you know how to program in the gameboy’s machine language, you can turn Pokémon into any program you want.

The video itself is somewhat tedious to watch, because setting up the “bootstrap” program which allows one to write arbitrary programs was accomplished by acquiring a specific sequence of items in exactly the right quantities. For example, about two full minutes are spent doing nothing but buying lemonade (which can only be purchased one at a time). In addition, for much of the video it is difficult to determine just what’s going on; one gets the impression that the game itself is similarly confused!

For more detail, see this post by the author. My hat’s off to you, Robert McIntyre.

A chess variant puzzle

Consider the rules of chess modified so that the objective is to capture the opposing king. (I once played someone who apparently thought this was the objective, which was my inspiration for this.) The rest of the game remains the same, except that it is now legal to move into check—otherwise capturing the king is impossible, since checkmate would be followed by stalemate.

At first glance one might think the game is identical so long as one takes care to never move into check if at all possible. In fact, the game has appreciably changed since forcing a stalemate is harder when one has additional legal moves.

The puzzle is this: is stalemate even possible now? Why or why not?

Cute math problem

Here’s a quick math problem to think about. Let $S$ be the set of positive integers which do not contain a 3 when written in decimal. Does the sum of the reciprocals of the numbers in $S$ converge or diverge? I’ll post my answer in the next day or two.

First post

So I took the plunge and decided to start up a blog, primarily as a way practising writing, something I’ve always enjoyed but never made a habit out of. I read a fair number of blogs, but to be honest I wouldn’t miss most of them if they shut down. I’ve found a few which consistently produce high-quality content; here are three of my favourites:

  • Paul Graham – A fantastic collection of essays. I like Graham’s writing style more than anyone else I’ve ever read, and don’t understand why the clear, matter-of-fact style that he employs isn’t very commonly used. Many of his essays are about entrepreneurship, which I am not especially interested in, yet I still find his writing engaging.
  • Scott Adams – Best known as the creator of Dilbert, his blog is a constant source of unique ideas. As a compulsive thinker who loves kicking around new ideas I look forward to reading his near-daily posts.
  • Eric Raymond – An open-source software advocate with an extremely strong ego. The unusual part about that is he actually has the accomplishments to back it up. He writes about a diverse number of things, and his writing is usually interesting even when I don’t care much about the topic.

My intention when starting this blog was to only write about things of interest to me. I had thought that this would necessitate being boring to everyone except in the case where a common interest is shared. Judging from the above list, in the optimal case that’s not actually true.