  In earlier work a description of a physical entity is given by means of a
state property system and it is proven that any state property system is
equivalent to a closure space. In the present paper we investigate the
relations between classical properties and connectedness for closure spaces.
The main result is a decomposition theorem, which allows us to split a state
property system into a number of 'pure nonclassical state property systems' and
a 'totally classical state property system'
