  In their target article, \citet{WangBusemeyer13} [A quantum question order
model supported by empirical tests of an a priori and precise prediction.
\emph{Topics in Cognitive Science}] discuss question order effects in terms of
incompatible projectors on a Hilbert space. In a similar vein, Blutner recently
presented an orthoalgebraic query language essentially relying on dynamic
update semantics. Here, I shall comment on some interesting analogies between
the different variants of dynamic semantics and generalized quantum theory to
illustrate other kinds of order effects in human cognition, such as belief
revision, the resolution of anaphors, and default reasoning that result from
the crucial non-commutativity of mental operations upon the belief state of a
cognitive agent.
