And
The English word “AND” is too much overloaded.
There are different notions to disambiguate:
2 AND 3
is5
- a synonym to addition - universal operation of putting together.p AND q
is a logical connective - an expression context.a AND ALSO b
is a together with b - a structural (an aggregate) context.a AND SIMULTANEOUSLY b
- at the same time - environmental (same locality) context.
These notions belong to different contexts and mixing them up is a type-error.
3 AND 2
is always equal to5
p AND p
as an expression is eitherTrue
orFalse
a AND ALSO b
is(a, b)
which is (or is not) the same as(b, a)
a AND SIMULTANEOUSLY b
are related or not.
Here at the same time (simultaneously) could mean either
- parallel (have nothing in common - unrelated) - may be different environment
- concurrent (interfering with one another) - the same environment (same locality).
Locality is real (actual), time is imaginary (derived abstract notion).