A cognitive pragmatic approach is taken to some long-standing problem
cases of negation, the so-called presupposition denial cases. It is ar
gued that a full account of the processes and levels of representation
involved in their interpretation typically requires the sequential pr
agmatic derivation of two different propositions expressed. The first
is one in which the presupposition is preserved and, following the rej
ection of this, the second involves the echoic (metalinguistic) use of
material falling in the scope of the negation. The semantic base for
these processes is the standard antipresuppositionalist wide-scope neg
ation. A different view, developed by Burton-Roberts (1989a, b), takes
presupposition to be a semantic relation encoded in natural language
and so argues for a negation operator that does not cancel presupposit
ions. This view is shown to be flawed, in that it makes the false pred
iction that presupposition denial cases are semantic contradictions an
d it is based on too narrow a view of the role of pragmatic inferencin
g.