Orthogonal Quotes
It is well known that in three-dimensional elliptic or spherical geometry the so-called Clifford's parallelism or parataxy has many interesting properties. A group-theoretical reason for the most important of these properties is the fact that the universal covering group of the proper orthogonal group in four variables is the direct product of the universal covering groups of two proper orthogonal groups in three variables. This last-mentioned property has no analogue for orthogonal groups in n (>4) variables. On the other hand, a knowledge of three-dimensional elliptic or spherical geometry is useful for the study of orientable Riemannian manifols of four dimensions, because their tangent spaces possess a geometry of this kind.
Shiing-Shen Chern
AL GORE: And even though it has gone through this exhaustive 20-year peer review process with the 3,000 best scientists in the world unanimously endorsing it, every national academy of sciences in a developed country on this planet endorsing it, still, based on some radio talk show host or some odd orthogonal argument...
Al Gore
The theory is the result of listening to the problem. When the theory acquires a life of its own because some people like it more than the real world, all kinds of uninspiring, uninteresting things happen, so the key is both to listen to the problem and to study the theory. But always remember that just as much theory is bunk as there are buggy solutions. There is nothing more wrong with "theory" than "solutions" – both their quality and their applicability are orthogonal to their existence.
Erik Naggum