We saw that most objects can’t be significantly compressed.
That’s disturbing!
Why?

It means that AIT is concerned with only a small proportion of all possible objects. So what? It just means that most objects are boring.

And so, you mean that an AI program should pay attention only to compressible objects? Or only to objects that it is able to compress.

If I follow you correctly, Kolmogorov complexity can be used to measure intelligence. ??

Yes. Kolmogorov complexity is based on an ideal compressor. If making sense of data amounts to achieving compression, then KC offers an upper limit of what intelligent processing can do. Ah, OK... I see.
Personally, I felt more concerned by the practical side of it.

You mean, actual compression using Zip? Not only. It’s nice to know that we can assess complexity through frequency measures.

Yes. It connects Kolmogorov complexity to Shannon’s information. And using a search engine to compute semantic distance is really cool!

Ah, the story about the universal distance and the "Google distance"? Yes, nice!
But my favorite is still the story about Zipf’s law.
Oh yes. Incredible, isn’t it? The law is so simple: F = k/r. And it applies to everything we write!

It seems to make sense, though.
I mean, when you look at it in terms of minimal description.
Yes. It suggests that Kolmogorov complexity is not only a tool.
It explains things.