Hereditary Representation

The representation of a number as a sum of powers of a base b, followed by expression of each of the exponents as a sum of powers of b, etc., until the process stops. For example, the hereditary representation of 266 in base 2 is

 
   

 

Goodstein Sequence, Goodstein's Theorem




References

Henle, J. M. An Outline of Set Theory. New York: Springer-Verlag, 1986.