Stove himself concludes that his "nosology" is probably not worth compiling. I think he's actually just using it to make the same point you've made by mentioning entropy. He considers it in order to justify rejecting it.

He then does something similar with the possibility of figuring out individual cases, rejecting it because the findings won't be generalizable.

Then he gets to what seems like his main point: getting rid of almost all philosophy because it's crazy.

(I thought the piece as whole was much funnier than the list. It's a tongue-in-cheek version of bending over backwards to avoid accusations of dismissing something crazy out of hand.)