4.1252 Series which are ordered by internal relations I call formal series.

The series of numbers is ordered not by an external, but by an internal relation.

Similarly the series of propositions “aRb”,

“(∃x) : aRx . xRb”,

“(∃x,y) : aRx . xRy . yRb”, etc.

(If b stands in one of these relations to a, I call b a successor of a.)