87

112

So for the fractions
.1 is one half
.01 is one fourth
.11 three fourths
.001 one eighth
.011 three eighths
.101 five eighths
.111 seven eighths

and so on. Now consider all the values to
which such fractions carried out indefinitely
far could indefinitely approximate to.
The fractional places, being numbered correspond
to the whole numbers. Those of these
places that have ones in them are those
which make up the whole
collection of these places used to express the
quantity. You see instantly, I am sure, that
the entire collection of values to which such
fractions can indefinitely approximate
precisely corresponds to all possible collections
of whole numbers.
Such a collection I called in my paper
abnumeral. But that is a poor word, and
since it has not yet been taken up that