Integrable systems without the Painleve property

We examine whether the Painleve property is a necessary condition for the i ntegrability of nonlinear ordinary differential equations. We show that for a large class of linearizable systems this is not the case. in the discret e domain, we investigate whether the singularity confinement property is sa tisfied for the discrete analogues of the non-Painleve continuous lineariza ble systems. We find that while these discrete systems are themselves linea rizable, they possess non-confined singularities.