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This article examines the political philosophy of Ernesto Laclau and Chantal Mouffe and their argumentation in favor of a left-wing populism. First, it demonstrates that behind their criticism of a naive quest for consensus, supposedly at the core of liberal thought, stands a claim of a political decisionism inspired by Carl Schmitt. It then shows how this decisionism has been reformulated with the help of the notion of undecidability, drawing on Derrida. Finally, the article emphasizes that the presumed undecidability of social concepts and practices leads to a balkanized vision of society and makes the very idea of political judgment impossible.