Here is Gamut’s definition of the correct use of a statement again:

A speaker S makes correct use of a sentence A in order to make a statement before a listener L just in case:
(i) S believes that A is true;
(ii) S believes that L does not believe that A is true;
(iii) S believes that A is relevant to the subject of the conversation;
(iv) For all sentences B of which A is a logical consequence (and which are not

equivalent to A), (i) - (iii) do not all hold with respect to B.

My claim:

For any given B of which A is a logical consequence, condition (ii) cannot be the reason why the speaker did not utter B.

Task:

Explain why. (Email your answer to me by Tuesday 5 pm.)