Carthage is a very small village located in the state of New York. With a population of 3,257 people and two associated neighborhoods, Carthage is the 451st largest community in New York. Carthage has an unusually large stock of pre-World War II architecture, making it one of the older and more historic villages.

The armed forces are a huge part of the life in Carthage, employing 9.80% of the workforce. While it is a military town, the civilian sector still plays an important role in the local economy, where the Healthcare and Manufacturing industries employ 19.17% and 12.52% of the civilian workforce, respectively.

The education level of Carthage citizens is a little higher than the average for US cities and towns: 21.67% of adults in Carthage have at least a bachelor's degree.

The per capita income in Carthage in 2022 was $26,230, which is low income relative to New York and the nation. This equates to an annual income of $104,920 for a family of four. However, Carthage contains both very wealthy and poor people as well.

Carthage is a very ethnically-diverse village. The people who call Carthage home describe themselves as belonging to a variety of racial and ethnic groups. The greatest number of Carthage residents report their race to be White, followed by Black or African-American. Important ancestries of people in Carthage include German, Irish, French, English, and Italian.

The most common language spoken in Carthage is English. Other important languages spoken here include Spanish and Portuguese.