There is a famous Theorem in modern mathematics, called the Fixed Point Theorem, attributed to L. Brouwer, and later clarified by Kakutani. To explain the Theorem in simple terms, consider a mathematical function which maps each point in a given space onto a corresponding point in the same space. A popular version of such a map is an ordinary hand calculator. Any given calculation (i.e. function) transforms the number shown in the display into another number shown in the display. For the calculator example, the space is just the set of possible numbers that can appear in the display. The Fixed Point Theorem states the conditions under which a function possesses a point that maps into itself.

One can hypothesize a possible future state in which all elements of the culture adopt common goals of mutual survival, mutual well-being, mutual growth, and mutual fulfillment

It appears that we are very far from adopting such goals