Do you think that without religion the crusades would have never happened?

[Eilonnwy]

Science still is a philosophy (indeed, in terms of actually seeking knowledge, the only philosophy that has been shown to work) ... I suppose math is too in that sense although it is more abstract.

Kyu

Indeed. It's like saying the hand and the body are the same thing because the hand is found on the body. It's simply not true. Just because there are connections between the hand and the body, it doesn't make it the same thing. So when you're talking about one you can't try to come to the same conclusions by talking about the other.

The simple fact is the idea that "You can't prove a negative" in this case refers to logical philosophy, arguments and truth statements. Not math.