The basic theory of scientific understanding presented in Sections 1-2
exploits three main ideas. First, that to understand a phenomenon P (
for a given agent) is to be able to fit P into the cognitive backgroun
d corpus C (of the agent). Second, that to fit P into C is to connect
P with parts of C (via ''arguments'' in a very broad sense) such that
the unification of C increases. Third, that the cognitive changes invo
lved in unification can be treated as sequences of shifts of phenomena
in C. How the theory fits typical examples of understanding and how i
t excludes spurious unifications is explained in detail. Section 3 giv
es a formal description of the structure of cognitive corpuses which c
ontain descriptive as well as inferential components. The theory of un
ification is then refined in the light of so called ''puzzling phenome
na'', to enable important distinctions, such as that between consonant
and dissonant understanding. In Section 4, the refined theory is appl
ied to several examples, among them a case study of the development of
the atomic model. The final part contains a classification of kinds o
f understanding and a discussion of the relation between understanding
and explanation.