Discussions on the alleged methodological specificity of social knowledge are fueled to not the least extent by a kind of retarded position of the latter against technological advance-ments of natural and information science based on exact methods and formal or quantitative languages. It is more or less obvious that applicability of exact scientific methods to social disciplines is highly dependent on a chosen conception of social reality, i. e., on social on-tology. In the article, the author critically approaches the ontological views of Tony Lawson and proposes a computational view on social ontology that is supposed to eliminate some in-ternal contradictions of Lawson’s realist conception