We first learned that light could behave like a particle or a wave a long time ago ([19th century](https://en.wikipedia.org/wiki/Wave%E2%80%93particle_duality))
Then we began to see that matter behaves like both wave and particle at the subatomic level.
Then we began do understand the wave as relating to probability equations.
>In 1924 Louis de Broglie in his PhD thesis Recherches sur la théorie des quanta introduced his theory of electron waves.
The big answer is that the method you use to detect them greatly changes what we detect.
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