Light behaves as both a wave and a particle. This goes well beyond human eccentricities. The universe does not care that our simple brains want to model it simply.
The wave and particle models are our own. They don't necessarily respect the true nature of reality. A bit like the old anecdote about blindfolded people feeling an elephant.
The dual, contradictory model predicts reality better than a unified one can. A set of contradictory rules might create better outcomes than a set of straightforward rules.
