Part 1: Towards a Sociology of Multiplicities.- 1. Introduction and Retroduction: The Logic of the Social.- 2. The Antinomies of the Social: Self-Reference, Individual, and Society.- 3. Problems Abound: Multiplicities-Beyond the One and the Many.-Part 2: The Events of the Social: Counting the Dialectic.-4.1 → 2: From Science to Social Science: Positivism.- 5.2 → 3: From Kant to Hegel: Conflictualism.- 6.3 → 2: American Interlude-From James (Back) to Kant: Pragmatism.- 7.3 → 4: From Hegel to Badiou: Ontology of the Void.- Part 3. Means & Ends: The Four of the (Greimasian) Square.- 8. Four Examples of Squared Analysis.- 9. Societies, Multiplicities, Sets: From Typology to Topology.- 10.Conclusion: Multiplitism and the Singular