The cure is to free oneself of this illusion, to train oneself and transform oneself so one's experience is only that of the eternal realm of unchanging truth. At the heart of physics, at the heart of science, lies the differential calculus of Newton and Leibniz. Since its origin some 300 years ago this calculus has been elaborated and refined. Careful methods of reasoning now permit more sophisticated resolutions of the paradox of change. From a mathematical physics perspective, the paradox arises from a flaw in reasoning.
Physics models time as real numbers.
Not every bounded set of real numbers has a maximal element. For example, consider the set of all real numbers greater than 0 and less than 2. Pick any number N in the set. N must be less than 2, because it is in the set. Pick another number M halfway between N and 2.