This chapter explores cognitivism and the cognitivist hypothesis. The central intuition behind cognitivism is that intelligence—human intelligence included—so resembles computation in its essential characteristics that cognition can actually be defined as computations of symbolic representations. The cognitivist argument is that intelligent behavior presupposes the ability to represent the world as being certain ways. Another cognitivist claim is that the only way one can account for intelligence and intentionality is to hypothesize that cognition consists of acting on the basis of representations that are physically realized in the form of a symbolic code in the brain or a machine. Ultimately, the cognitivist hypothesis entails a very strong claim about the relations between syntax and semantics.