Invisible hat

/ Let's imagine a very unexpected and unusual situation when, while walking in an open field, we suddenly discovered a certain treasure - a chest full of all kinds of jewelry. Why not? Don't there be miracles in the world? This is how it is - literally a bare steppe, no tree, no bush. Only one Christmas tree grows nearby and that's it. And right next to it, right on the surface of the grass, is this very expensive chest, left here by who knows who and when.





And schematically this rather unusual situation is shown in Figure 1 below. So I propose to consider this figure as a kind of reference point for all the forthcoming reasoning and conclusions.





Picture 1.
Picture 1.

And all would be nothing, but as a sin, somewhere in the distance, we discovered a certain stranger unfamiliar to us, who has not yet noticed us or the treasure. And, as it is not difficult to guess in the current situation, we do not have the slightest reason to trust this potential witness. Rather, the opposite is true.





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