Formalization plays an important role in semantics. Doing semantics and
following the literature requires considerable technical sophistica-
tion and acquaintance with quite advanced mathematical techniques and
structures. But semantics isn't mathematics. These techniques and
structures are tools that help us build semantic theories. Our real aim
is to understand semantic phenomena and we need the technique to make
our understanding of these phenomena precise. The problems in semantics
are most often too hard and slippery, to completely trust our informal
understanding of them. This should not be taken as an attack on informal
reasoning in semantics. On the contrary, in my view, very often the
essential insight in a diagnosis of what is going on in a certain
semantic phenomenon takes place at the informal level. It is very easy,
however, to be misled into thinking that a certain informal insight
provides a satisfying analysis of a certain problem; it will often turn
out that there is a fundamental unclarity about what the informal
insight actually is. Formalization helps to sharpen those insights and
put them to the test.