Flat Physicalism is a theory of through and through type reductive physicalism, understood in light of recent results in the conceptual foundations of physics. In Flat Physicalism, as in physics, so-called "high level" concepts and laws are nothing but partial descriptions of the complete states of affairs of the universe. "Flat physicalism" generalizes this idea, to form a reductive picture in which there is no room for levels, neither explanatory nor ontological. The paper explains how phenomena that seem to be cases of multiple realization of special sciences kinds by physical kinds are fully explains in a reductive physicalist way. Finally, the paper exemplifies the fruitfulness of this reductive approach by showing how it can account even for a case of high-level anomaly in a deterministic universe (for example anomaly of the mental, should this turn our to be a fact about the world) - a result that may be called Anomalous Physicalism
