A better system would be to ask the user to identify the gender of a person based on an image to tell whether the picture is of a dog or of a cat and so on, these tasks are trivial for a person and very very hard for a program.
Identifying gender is significantly harder.
You want something a lot harder, have them click on the picture of the more attractive person, use data from a hotornot type site (just make sure the data isn't public). Good luck solving that with Support Vector Machines. If you want to generate more data just use build RE-CAPTCHA type system.
I'm thinking about using the idea I got of building a web-service around it, and letting people find their own uses for it.
Considering applying to YC with the idea.
How about animated gifs instead of static images as captchas?
"Which one of the following is not one of the points the author is trying to make"
"Which of the following best describes the authors' opinion of Java?"
"What did the author cite as his source for his labor statistics?"
That's convergence if I've ever seen it!
Oh and Todd is 60.
I believe that that semantic flaw sadly classes Todd out of existence by 15 years (that is, t = -15).
A system like that might be good for keeping commenter quality high though :).
Show a map with a bee on it. Please guide this bee to the flower, passing the pond, the bear, and the scarecrow. Now bring the bear to the beehive; you would generate a hash string based on the sequence of visits. This may involve multiple back-and-forths, which is probably bad, but fairly brainless and robust, from what it seems, as little thought as I have given it.
Frankly, I think knowledge or logic based captchas are the way to go.
"Todd is three times as old as Jane is. When Jane was ten years younger, Todd was five times as old as Jane is. How old is Todd?" for example.
Sure, takes longer to think about, but if someone can write a script to start parsing logic puzzles like that, quickly, and use it to defeat website signup authentication methods?
I'll buy that person a pint.