Property dualism describes a category of positions in the philosophy of mind which hold that, although the world is composed of just one kind of substance—the physical kind—there exist two distinct kinds of properties: physical properties and mental properties. In other words, it is the view that non-physical, mental properties (such as beliefs, desires and emotions) exist in, or naturally supervene upon, certain physical substances (namely brains).
Substance dualism, on the other hand, is the view that there exist in the universe two fundamentally different kinds of substance: physical (matter) and non-physical (mind or consciousness), and subsequently also two kinds of properties which adhere in those respective substances. Substance dualism is thus more susceptible to the mind–body problem. Both substance and property dualism are opposed to reductive physicalism.
Emergent materialism
Emergentism is the idea that increasingly complex structures in the world give rise to the "emergence" of novel properties that are something over and above (i.e. cannot be reduced to) their more basic constituents (see Supervenience...