The 2 results at the right side, as shown in Figure 2.1, are not very impressive.
Kandinsky, at the left, is art. Its shows a certain tension. It shows that Kandinsky has done a certain effort to produce a work that is not random. He has spent time to really compose his results. The lines are drawn with a purpose.
The 2 examples at the right are flat.
GPT4 vs ChatGPTSupposing that on first day of the first year there are x rabbits, we know that exactly 3 years afterwards there will be a population of 27x  26 rabbits. What are the values of a and b

The question still exists: how did GPT4 arrive to this clever answer.
Did GPT4 require any help? I expect so. And if so what help.
GPT4 
GPT4AI: Yes, it does. My answer shows that for any k, there will be a linear function f(x) = ax  b Human: In your previous answer, however, the quantifier on c, d was "for some constants c and d". Do you see the problem? AI: Yes, I see the problem. The quantifier should be "for any constants c and d". Otherwise, it would imply that there is only one pair of constants c and d that works for a given k, which is not true. 
Now comes the crux: An intelligent reader should only read the above text and derive the equations (10) to (13) by him or herself, to prove Corollary IV
And what is more important GPT4 should (try to) do the same, with the help of the text before page 26.
To be honest, I'm not capable to do that. I'm glad to understand the author of the book "NP" and to get a glimpse of how Newton performed his task.
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