In Swiss semi-direct democracy, citizens are often summoned to the polls. To vote reasonably, they need to be properly informed. The media therefore have the responsibility to provide them with arguments for and against each issue of voting. Here, we focus on argumentation in a television ‘civic debate’ about abolishing compulsory military service. To provide a unified and integrated overview of the debate dynamics, we combine the Dialogical Model of Argumentation and the Argumentum Model of Topics, which share a similar emphasis on the discursive dimension of argumentation. This analysis underlines the importance of linguistic and communicative resources and procedures, without neglecting the macro socio-political environment of the debate.