Neil DeGrasse Tyson on Disproving God

[Nonpareil]

If someone tells me that a deity exists that flooded the world, parted the Red Sea, brought down the walls of Jericho at a certain period in history, and so on, and we go and check and find nothing, then we have evidence that said deity does not exist.

Yes... those would be claims that you would need to support.  However I don't think that it follows, and is a bit overreaching to come to the conclusion that said diety doesn't exist if you are successful in supporting those claims.

If someone claims that a deity exists that flooded the world for forty days, and we can establish that the world was never flooded for forty days, then we have established that the claimed deity does not exist.

We have done so.

Said deity does not exist.