Well, My Demon Died On Me Yesterday

Three things the internal combustion engine needs to run:

Compression
Fuel
Spark

Compression - is probably okay if you didn't hear a bunch of noise before it quit.

Fuel - like @tonysrt said, see if you got fuel pumping into the carb. Easy test.

Spark - more than likely the culprit. What ignition system do you have?
Good question. I'll have to check and report back