So someone is getting married to three definitions of the Taylor expansion and 2 examples in a trenchcoat (not depicted)? I understand even less now.

Why waste time thinking when you could already be drawing random samples

Assuming this effect existed, wouldn’t the memory of the water be polluted with all kind of things (as water is recycled all the time)? The specific water molecules you are ingesting probably spent considerable time (considering the age of the earth and all water on it) as saltwater. If longer exposure makes the memory stronger, you should be getting a lethal dose of salt quite easily

Taylor expansion of ln is getting married to the definition of a Taylor expansion?