  We discuss a notion of integration with respect to the Euler characteristic
in the projectivization $\P{\cal O}_{\C^n,0}$ of the ring ${\cal O}_{\C^n,0}$
of germs of functions on $C^n$ and show that the Alexander polynomial and the
zeta-function of a plane curve singularity can be expressed as certain
integrals over $\P{\cal O}_{\C^2,0}$ with respect to the Euler characteristic.
