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In the 6th century B.C., the philosopher-mathematician Pythagoras declared "The World is Made of Numbers".  Ever since, and until 4e, developers have been trying to convert his statement into RPG form.  One of the ways in which 4e is different from pretty much any prior version of the game is that it has dislodged numbers from the center of the game.  Like Copernicus declaring that the Earth is not the center of the universe, this has caused some consternation, often because most people (and at times, I think, even the developers) have not realized how the game has changed at a fundamental level.

I think dice-based role-playing games can be divided into two categories, which I have labeled (in my most unweildy manner), numerocentric and protagonocentric.

Numerocentric Games