Are 1/2 and 2/4
identical or are their ratios identical ? The relationship of 1 to 2 is the same
as the relationship of 2 to 4.
Anyway, metaphors
have to do with the sameness of relationships, not the sameness of things.
Arithmetic deals
with sameness of things. Algebra deals with sameness of relationships
between things.
Actually, 1/2 = 2/4
is arithmetic. ( my bad)
a/b = c/d is
algebra.
Charles
