My Numbers, Higher Dimensional Categories, Sheaves and Modal Logic

Erdos: 5
n-Category: 2  (actually I think it's 1 and a half....it tends towards 0 depending on the time of day :-) )*
Bacon: infinite

*Dan Freed claims his is still 1

So what the hell is an n-Category anyway?

Higher-Dimensional Categories: an illustrated guide book
Eugenia Cheng and Aaron Lauda
University of Cambridge, 2004

and I happen the like this neat mix of sheaves and modal logic found here:

Topology and First-Order Modal Logic