Do citizens agree on what democracy means? We analyze more than 25,000 open-ended survey responses from representative samples in 14 countries, classifying answers with a fine-tuned language model and sentence embeddings. We find that citizens most often define democracy one-dimensionally, in terms of individual and civil rights, while elections are mentioned by only 20% of respondents. Yet there is partisan divergence. Far-right voters and non-voters are less likely to mention civil rights, elections, and egalitarianism than other voters, and far-right voters more often invoke majoritarian principles. Among respondents mentioning the rights dimension, left-wing voters connect rights to equality and citizenship, whereas right-wing voters emphasize freedom of speech. Democratic contestation thus unfolds within democratic language, creating opportunities for selective elite reframing.