The other day I was driving by our veterinarian’s office and saw that the marquee said something like “Prevention is less expensive than treatment.” That’s sometimes true, but certainly not always.

This evening I ran across a couple lines from Ed Catmull that are more accurate than the vet’s quote.

Do not fall for the illusion that by preventing errors, you won’t have errors to fix. The truth is, the cost of preventing errors is often far greater than the cost of fixing them.

From Creativity, Inc.

I’ve seen exhortations to think like Leonardo da Vinci or Albert Einstein, but these leave me cold. I can’t imagine thinking like either of these men. But here are a few famous people I could imagine emulating when trying to solve a problem

What would Donald Knuth do? Do a depth-first search on all technologies that might be relevant, and write a series of large, beautiful, well-written books about it all.

What would Alexander Grothendieck do? Develop a new field of mathematics that solves the problem as a trivial special case.

What would Richard Stallman do? Create a text editor so powerful that, although it doesn’t solve your problem, it does allow you to solve your problem by writing a macro and a few lines of Lisp.

What would Larry Wall do? Bang randomly on the keyboard and save the results to a file. Then write a language in which the file is a program that solves your problem.

What would you add to the list?

This morning my daughter told me that she did well on a spelling test, but she got the easiest words wrong. Of course that’s not exactly true. The words that are hardest for her to spell are the ones she in fact did not spell correctly. She probably meant that she missed the words she felt should have been easy. Maybe they were short words. Children can be intimidated by long words, even though long words tend to be more regular and thus easier to spell.

Our perceptions of what is easy are often upside-down. We feel that some things should be easy even though our experience tells us otherwise.

Sometimes the trickiest parts of a subject come first, but we think that because they come first they should be easy. For example, force-body diagrams come at the beginning of an introductory physics class, but they can be hard to get right. Newton didn’t always get them right. More advanced physics, say celestial mechanics, is in some ways easier, or at least less error-prone.

“Elementary” and “easy” are not the same. Sometimes they’re opposites. Getting off the ground, so to speak, may be a lot harder than flying.