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## Main Question or Discussion Point

From the following definition, it seems that the uncertainty principle is an epistemological statement.

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That is,

But the following exercise seems to suggest that the uncertainty principle is an ontological statement, that is, a particle cannot have a precise position and a precise momentum simultaneously.

So is the uncertainty principle an epistemological statement or an ontological one?

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**Heisenberg's uncertainty principle**, is any of a variety of mathematical inequalities[1] asserting a fundamental limit to the precision with which certain pairs of physical properties of a particle, known as complementary variables, such as position*x*and momentum*p*, can be known."That is,

**we cannot know**the position and momentum of a particle to infinite precision. But nothing is said about the ontology of the particle. So a particle could have a precise position ##x=0## and a precise momentum ##p=0## as long as the value of both variables cannot be known to us simultaneously.But the following exercise seems to suggest that the uncertainty principle is an ontological statement, that is, a particle cannot have a precise position and a precise momentum simultaneously.

So is the uncertainty principle an epistemological statement or an ontological one?