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There are many differing ways to be a realist about language. This paper seeks to classify some of these and to examine the implications of each for the study of language. The principle of classification it adopts is that we may distinguish between realisms on the basis of what exactly it is that they take to be real. Examining in turn realisms that ascribe reality to the external world in general, to causal mechanisms, to innate capacities, to linguistic signs, to social structures, to language systems, and to linguistic groups, the paper summarises the case for a particular critical realist ontology of language. In the process, it engages briefly with the work of Saussure, Chomsky, Halliday, and more recent explicitly realist thinkers such as Bhaskar, Pateman, Archer, Sealey and Carter. One implication is that language itself is not a phenomenon that separates us from a causally structured world, but rather a part of that world, a part with an identifiable causal structure of its own that is similar to that of other normative phenomena.

Computational sociology models social phenomena using the concepts of emergence and downward causation. However, the theoretical status of these concepts is ambiguous; they suppose too much ontology and are invoked by two opposed sociological interpretations of social reality: the individualistic and the holistic. This paper aims to clarify those concepts and argue in favour of their heuristic value for social simulation. It does so by proposing a link between the concept of emergence and Luhmann's theory of communication. For Luhmann, society emerges from the bottom-up as communication and he describes the process by which society limits the possible selections of individuals as downward causation. It is argued that this theory is well positioned to overcome some epistemological drawbacks in computational sociology. © 2012 Blackwell Publishing Ltd.