An almost philosophical look at the uncertain/paradoxical nature of particles.
We can empirically conclude that particles have properties of both particles and waves, although waves do not necessarily have properties of particles.
So, what does this empirical fact mean? It obviously can’t mean that particles are waves. since waves aren’t necessarily particles, but just as obviously can’t mean that particles aren’t waves, since particles obviously have the properties of waves. So, what does it mean? Does it mean that particles are both waves and particles or that particles are neither waves or particles? The former did we exclude above by the fact that waves aren’t necessarily particles, and the latter is contradictory by stating that particles aren’t particles. The meaning of this empirical fact is thus impossible to straighten out.
Instead, this fact is the paradox we call Russell’s paradox. It is the middle of conceptualization, which we also call Heisenberg’s uncertainty principle. It is thus both a paradox and…
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The Discussion: Essays and Contemplations 