The adventures of Finn and Jake spend on earth. However, the earth as we know it is gone. After the war fungi (war in which nuclear weapons are used for a thousand years), the earth has lost a fifth of its mass and so far we've only seen this part of the world now called the Land of OOO. Also because of the war, were created or opened doors to other parallel realities in the region known as the Kingdom of Clouds series, the Nocheósfera, Crystal Dimension, the realm of death and Lumpy space.
They know that the land of ooo was actually the true land we all know that in a mention that Ice King got his crown in Scandinavia, a place that exists in our world episode.
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There are many unknown land of ooo over the continents as we know it has changed, but it is assumed that there are still many parts of the present earth, even loved. Remember the episode of executives, employees of an enterprise, and frozen in costumes, who had lost his memory completely.
Each character has their own abilities, strengths and weaknesses. For example, Marceline can float on water and ditches, while Jake can block enemy attacks with his sword. They also have different speed settings, life and strength. To these we can add different skills improvement through the tabs that we find in the chests of the dungeon, but also we can buy in the store Manso Goose exchange for treasures.
As explained Marceline, nuclear bombs used in the war of mushrooms were very destructive biological weapons, which mutated into the characters by giving them powers and special abilities, like Jake, a very special dog. Pump also raised the skeletons are not alive before the war. Finn believes humanoid discover how your kind are just mutated humans.