The Academy of Mathology is a titanic, socially progressive nation, ruled by Mr Spock with a fair hand, and renowned for its state-planned economy, frequent executions, and devotion to social welfare. The compassionate, democratic population of 16.781 billion Mathmaticians love a good election, and the government gives them plenty of them. Universities tend to be full of students debating the merits of various civil and political rights, while businesses are tightly regulated and the wealthy viewed with suspicion.

The large, socially-minded, outspoken government juggles the competing demands of Welfare, Education, and Healthcare. It meets to discuss matters of state in the capital city of New Arizona City. The average income tax rate is 53.4%, and even higher for the wealthy.

The large but stagnant Mathologyian economy, worth 341 trillion Vulcans a year, is driven entirely by a combination of government and state-owned industry, with private enterprise illegal. However, for those in the know, there is a slick, highly efficient, fairly diversified black market in Trout Farming, Basket Weaving, Retail, and Cheese Exports. The private sector mostly consists of enterprising ten-year-olds selling lemonade on the sidewalk, but the government is looking at stamping this out. Average income is 20,375 Vulcans, and distributed extremely evenly, with practically no difference between the richest and poorest citizens.

Prankster scientists legally change their names to silly pseudonyms before major discoveries, money can't buy happiness but it can buy immunity to prosecution, abortions are routinely performed in the nation's hospitals, and all guns must be registered. Crime is totally unknown. Mathology's national animal is the penguin, which frolics freely in the nation's sparkling oceans, and its national religion is 100100101.

Mathology is ranked 145,707^th in the world and 1^st in oauei for Most Eco-Friendly Governments, scoring 440.82 on the Dolphin Recycling Awareness Index.