Incommensurable Quotes

“...it would be a very naive sort of dogmatism to assume that there exists an absolute reality of things which is the same for all living beings. Reality is not a unique and homogeneous thing; it is immensely diversified, having as many different schemes and patterns as there are different organisms. Every organism is, so to speak, a monadic being. It has a world of its own because it has an experience of its own. The phenomena that we find in the life of a certain biological species are not transferable to any other species. The experiences - and therefore the realities - of two different organisms are incommensurable with one another. In the world of a fly, says Uexkull, we find only "fly things"; in the world of a sea urchin we find only "sea urchin things.”

“The realm of liberation is absolutely incommensurable with the relativities of higher and lower, better and worse, gain and loss, since these are all disadvantages of the ego.”

“So it's a strife here, in a way, between position—between the CEO and the top salesman; between the principal and the best teacher; between Miller Huggins, the manager, and Babe Ruth, the best baseball player who ever lived; between the person who can really do it, and the person who is in charge. Those are incommensurable excellences, and then and now they often come into conflict. So here—that is the rage within the rage, the conflict within the conflict, that Homer is interested in chronicling.”

“Another flaw of the system is the fact that various danger fronts often require very different firmaments. As a logical superstructure is built upon each, there follow clashes of incommensurable modes of feeling and thought. Then despair can enter through the rifts. In such cases, a person may be obsessed with destructive joy, dislodging the whole artificial apparatus of his life and starting with rapturous horror to make a clean sweep of it. The horror stems from the loss of all sheltering values, the rapture from his by now ruthless identification and harmony with our nature’s deepest secret, the biological unsoundness, the enduring disposition for doom.”

“No, not of course at all—it is really all hocus-pocus. The days lengthen in the winter-time, and when the longest comes, the twenty-first of June, the beginning of summer, they begin to go downhill again, toward winter. You call that ‘of course’; but if one once loses hold of the fact that it is of course, it is quite frightening, you feel like hanging on to something. It seems like a practical joke—that spring begins at the beginning of winter, and autumn at the beginning of summer. You feel you’re being fooled, led about in a circle, with your eye fixed on something that turns out to be a moving point. A moving point in a circle. For the circle consists of nothing but such transitional points without any extent whatever; the curvature is incommensurable, there is no duration of motion, and eternity turns out to be not ‘straight ahead’ but ‘merry-go-round’!”

“In conformity with this spirit and aim of the Stoa, Epictetus begins with it and constantly returns to it as the kernel of his philosophy, that we should bear in mind and distinguish what depends on us and what does not, and thus should not count on the latter at all. In this way we shall certainly remain free from all pain, suffering, and anxiety. Now what depends on us is the will alone, and here there gradually takes place a transition to a doctrine of virtue, since it is noticed that, as the external world that is independent of us determines good and bad fortune, so inner satisfaction or dissatisfaction with ourselves proceeds from the will. But later it was asked whether we should attribute the names *bonum et malum* to the two former or to the two latter. This was really arbitrary and a matter of choice, and made no difference. But yet the Stoics argued incessantly about this with the Peripatetics and Epicureans, and amused themselves with the inadmissible comparison of two wholly incommensurable quantities and with the contrary and paradoxical judgements arising therefrom, which they cast on one another. An interesting collection of these is afforded us from the Stoic side by the *Paradoxa* of Cicero."—from_The World as Will and Representation_. Translated from the German by E. F. J. Paye in two volumes: volume I, pp. 88-89”