(1) number of things interacting
(2) complexity of interaction
(3) complexity of thing
So simplicity is then an inversion of that. You can "maximize simplicity" by:
(1) minimizing the number of things
(2) minimizing the complexity of interaction
(3) minimizing the complexity of each thing
This ends up reinventing many of things you find elsewhere (think SOLID; same-level-of-abstraction principle, etc) although I also generally find it's the first one - the most important one - that gets fucked up the most (one example: "type explosions", when you end up with just a bazillion different slightly different types).
Also, on a broader level, there really do seem to be two kinds of systems: Engineered systems, which (notionally) attempt to minimize those things, and "evolved" systems, which somewhat maximize them - both economies and ecologies have (1) many different interacting things, (2) with complex interactions, and (3) which are themselves complex.
You're right that it's an intuitive sense, but, I do think the right advice and perspectives can give you a leg up on learning and applying that sense.