Perhaps these may suggest something suitable: Solvable numbers? Solvable algebraics? Expressible numbers? Expressionable numbers? Calculable numbers? ... At 01:08 PM 2/15/2010, Bill Thurston wrote:
These are, in other words, algebraic numbers with solvable Galois group, which may be a reasonable way to specify them. Do they deserve to have a 1-word name? It would be tempting to call them "radical numbers" except that they're not actually so radical, they're comparatively tame among algebraic numbers. "Constructible numbers" is already taken, by the special case of algebraic numbers whose Galois group is a 2-group. Bill On Feb 15, 2010, at 2:41 PM, Dan Asimov wrote:
. . . real numbers that can be expressed using integers, addition, subtraction, multiplication, division, and integer roots and powers -- starting with integers or rationals?
How about all such (real or) complex numbers?
(As distinguished from the rest of the algebraic numbers.)
--Dan
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