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Reality is a Negation - Ostronomos - Sep 8, 2015

Let it be said that there are no elements x in reality P.

That is, the negation of

[Image: d3b4139920731cc0ad9573300c34579f.png]
[Image: d3b4139920731cc0ad9573300c34579f.png]


is logically equivalent to "For any element x, x does not exist in reality P", or:

[Image: 397b97af3c7fda4b5fac969a75cb8bbc.png]
[Image: 397b97af3c7fda4b5fac969a75cb8bbc.png]


Generally, then, the negation of a propositional function's existential quantification is a universal quantification of that propositional function's negation; symbolically,

[Image: 751099d807da6376976befe61f05e071.png]
[Image: 751099d807da6376976befe61f05e071.png]



Hence, for no x does reality P exist.

For more, see: http://plato.stanford.edu/entries/nonexistent-objects/