How useful are good concepts?

How much difference did it make to have the information theoretic concept of information instead of whatever the naive concept is? Was calling a set of things ‘computations’ really so revolutionary? Why?

This looks like a case of finding good concepts:

Having a common and simple language can sometimes be the key to progress. The ancient Greek mathematician Archimedes discovered many specific results of calculus, but could not generalize the methods because he did not have the language of calculus. After this language was developed in the late 1600s, hundreds of mathematicians were able to produce new results in the field. Now, calculus forms an important base of our modern civilization.

From here. What exactly did a ‘language’ do?

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