2 to the power of C
2
c is the order of the
power set of a
continuum; this uses the letter
c to represent the order of the continuum, that is, the number of
real numbers. This can be visualised as the number of
scalar-valued
functions of one
variable, or in fact, the number of
rank-
N fields of
D dimensions for any
finite values
N and
D.
2c is equal to א2 only if the generalized continuum hypothesis holds true, which is generally believed to not be the case.
This article or a past revision is based on the Mandelbrot Set Glossary and Encyclopedia, © 1987-2003 Robert P. Munafo, which is made available under the terms of the GNU FDL.