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."
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