Informed, Informative, Informational

Kramer:

"I'm sure that "2+2=4 and the capital of France is Paris" contains more information than "2+2=4," but I don't know why anyone would ask about their relative informativeness absent a specific question to be answered."

Egsactly. This is exactly the type of examples Grice enjoys:

"They are properly truth-functional, and thus
easily formalisable in my System G"

He means:

p & q

yields

p

--- The _standard_ of 'informativeness' examined by O'Hair in terms of entailment (Harnish for discussion -- all this vis a vis Grice's 1961, predating the William James).

In a way, if the question is given by the Maths prof,

"the capital of France is Paris"

seems to go on the "overinformative" side.

Similarly, the bit about "2 + 2 = 4" seems "underinformative", if not plain UNinformative, if an answer to the question by the geography teacher.

----

The 'over-' and 'under-' are of course the maxi- and the mini- of Grice's TWO quantitative maxims (and minims -- as the first should perhaps be labelled).

Etc.