Postulated here are very general
but nevertheless concrete notions of plus and times. The generality achieved lessens
the need for abstract linear spaces. The addition and multiplication are universally
associative and commutative and multiplication rather widely distributes over
addition.
The addable entities are of three general types: numbers, functions, and classes.
The numbers are the finite complex numbers along with certain infinities. The
addable functions are addable valued nonvacuous functions. The addable classes are
free of numbers and ordered pairs; they are structured nonvacuous classes of addable
entities. Many addable classes arise, as in §5, as congruence classes from an
equivalence relation. In particular, the usual complex Lebesgue classes are among the
addable classes.
