In my book The Great Paradox of Science: Why its conclusions can be relied upon even though they cannot be proven (that I hope all readers of this blog have bought!) I discuss in some detail the nature of scientific logic that enables us to arrive at very firm conclusions about so many things despite never having absolute certainty. This is particularly important in the case of assertions about the non-existence of any entity. Believers in things for which there is no positive evidence (such as gods and ghosts) point to this lack of proof to suggest that it is reasonable to believe in their existence.
My book argues that that argument is invalid and that in science we can quite confidently assert in the non-existence of some things (and have done so in the case of the aether and phlogiston for example) and that same logic can be extended to assert the non-existence of other things.
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