11 Feb
2008
11 Feb
'08
10:52 a.m.
Hi all,
On Feb 11, 2008 3:14 PM, apfelmus
I will be mean by asking the following counter question:
x + (y + z) = (x + y) + z
is a mathematical identity. If it is a mathematical identity, a programmer need not care about this law to implement addition + . Can anyone give me an example implementation of addition that violates this law?
Depends on what you mean by "addition". In general, algebraists call any associative and commutative operation on a set "addition", and nothing else. From that POV, there is by definition no "addition" that violates this law. Arnar