  In this paper we analyse logic of false belief in intuitionistic setting.
This logic, studied in its classical version by Steinsvold, Fan, Gilbert and
Venturi, describes the following situation: a formula F is not satisfied in a
given world, but we still believe in it (or we think that it should be
accepted). Another interpretations are also possible: e.g. that we do not
accept F but it is imposed on us by a kind of council or advisory board. From
the mathematical point of view, the idea is expressed by an adequate form of
modal operator W which is interpreted in relational frames with neighborhoods.
We discuss monotonicity of forcing, soundness, completeness and several other
issues. We present also some simple systems in which confirmation of previously
accepted formula is modelled.
