I've always preferred levels of logging rather than these arbitrary names (what's the difference between trace and debug, and which one is lower level?). Give me three levels of logging, 1, 2, and 3, and then warning, and error. Maybe allow to mix and match them, if this makes sense (the typical nomenclature makes them all mutually exclusive, which is dumb). There are your five levels.
Alternatively, each is a flag in a number so that they can be combined, with FATAL being 1 or 16 depending on priority vs. importance.
I would argue that the names do indeed suffice to tell you their "level" - TRACE is the noisiest, least important, least priority level. DEBUG is next, followed by INFO, WARN, ERROR, FATAL.