We assume the universe is rational, that is, there exists some rationality within the universe. Otherwise, science is hopeless, and we can all go home.
Logic entails relations and things.
To understand why Keirsey's game. I suggest first reading Robert Rosen's Life Itself and Anticipatory Systems. Second, reading a book on Mathematical Logic, such as Mendelsohn or Kleene would be good. Boolean logic and understanding Godel and NP completeness is useful. Reading the dictionary and looking up the roots of words and definitions of words for a couple of years may help.