Nothing is demonstrable unless the contrary implies a contradiction. Nothing that is distinctly conceivable implies a contradiction. Whatever we conceive as existent, we can also conceive as non-existent. There is no being, therefore, whose non existence implies a contradiction. Consequently there is no being whose existence is demonstrable.

David Hume, Dialogues Concerning Natural Religion, Part IX.

I have to say, Hume, you are absolutely right.

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