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 HumeNothing is more dangerous to reason than the flights of the imagination and nothing has been the occasion of more mistakes among philosophers.
David Hume