Carthage is a town in Ripley Township, Rush County, Indiana, United States, located along the Big Blue River.

[6] The Henry Henley Public Library was listed on the National Register of Historic Places in 2016.

[7] According to the 2010 census, Carthage has a total area of 0.58 square miles (1.50 km2), all land.

The racial makeup of the town was 98.6% White, 0.2% Native American, 0.2% Asian, and 1.0% from two or more races.

25.4% of all households were made up of individuals, and 11.1% had someone living alone who was 65 years of age or older.

There were 391 housing units at an average density of 681.0 per square mile (262.9/km2).

27.9% of all households were made up of individuals, and 16.1% had someone living alone who was 65 years of age or older.