  We define a property of intelligent systems, which we call Reflexivity. In
human beings, it is one aspect of consciousness, and an element of
deliberation. We propose a conjecture, that this property is conditioned by a
topological property of the processes which implement this reflexivity. These
processes may be symbolic, or non symbolic e.g. connexionnist. An architecture
which implements reflexivity may be based on the interaction of one or several
modules of deep learning, which may be specialized or not, and interconnected
in a relevant way. A necessary condition of reflexivity is the existence of
recurrence in its processes, we will examine in which cases this condition may
be sufficient. We will then examine how this topology and this property make
possible the expression of a second property, the deliberation. In a final
paragraph, we propose an evaluation of intelligent systems, based on the
fulfillment of all or some of these properties.
