Současný stav ve výzkumu základů matematiky
Sul problema dell'autoriferimento
We formulate, within the frame-theory for the foundations of Mathematics outlined in [2], a list of axioms which state that almost all "interesting" collections and almost all "interesting" operations are elements of the universe. The resulting theory would thus have the important foundational feature of being completely self-contained. Unfortunately, the whole list is inconsistent, and we are led to formulate the following problem, which we call the problem of self-reference: "Find out...