Ok, lets look at the classic example of pyrollidine and its aromatic cousin, pyrrole.
The basicity of amines are determined by how available the lone pairs are to serve as a lewis base. If the electrons are 'tied' to some sort of system, they're not as available. Pyrole is not very basic at all, its pKa is around 17-20. It's not basic because the lone pair of nitrogen is tied to the 6 pi aromatic system. Pyrollidine, on the other hand, has a freely available pair of electrons. It is very basic.
edit: avaible = available ...I'm too lazy to fix it lol