However, the nature of man is that this strange (in terms of normal logic) situation does not come between a man and his existence and fruitful activities. Some of those boundaries are so fuzzy that they cast some doubt on the existence of the very object or phenomenon defined by the term. It is easy to find out that the vast majority of ordinary terms have indeterminate boundaries.
Moreover, everybody understands by insight what a point is and what a circle is. Both circles and points go well together, as well as with other terms adopted in mathematics. At the same time, this "inadvertence" did not become a stumbling block for mathematics. As is easy to see, these terms are defined through each other.
For example, a point is known in mathematics as an infinitesimal circle, whereas the circle itself is defined as a set of points ordered in a certain manner. Generally speaking, a problem of this kind may occur in any other field of knowledge. It is a sort of difficulty to start writing a textbook on programming for beginners, because the area of knowledge under consideration involves some new concepts that are not based on anything previously known or usual.
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