Take the case of a famous problem which plays a great part in the history of Greek geometry, the doubling of the cube, or its equivalent, the finding of two mean proportionals in continued proportion between two given straight lines. ...if all the recorded solutions are collected together, it is much easier to see the relations, amounting in some cases to substantial identity, between them, and to get a comprehensive view of the history of the problem. I have therefore dealt with this problem in a separate section of the chapter devoted to 'Special Problems,' and I have followed the same course with the other famous problems of squaring the circle and trisecting any angle.
Thomas Little HeathRelated topics
angle case comprehensive course cube deal doubling easy geometry given great history mean problem see squaring straight substantial take view relationsRelated quotes
God has permitted and does permit us to be shaken by adversity. Difficult times lie ahead. We will be greatly tested. We have to take this warning seriously and live spiritually... Many saints would have loved to have lived in our times and have had our chance to struggle for Christ... Our struggle matters because it is not a struggle against an Ali Pasha, or a Hitler and a Mussolini, but a struggle against the devil himself. For this reason, our wages will be heavenly... The saints will become more holy and the vile will become more vile. Yet I feel great consolation inside. This is only a storm; like past storms, it will pass. May the Good God take evil and turn it into good. Amen.
Paisios of Mount Athos
The three major Middle Eastern religions are significantly different in their relations with the state and their attitudes to political power. Judaism was associated with the state and was then disentangled from it; its new encounter with the state at the present time raises problems which are still unresolved. Christianity, during the first formative centuries of its existence, was separate from and indeed antagonistic to the state with which it only later became involved. Islam from the lifetime of its founder was the state, and the identity of religion and government is indelibly stamped on the memories and awareness of the faithful from their own sacred writings, history, and experience.
Bernard Lewis
I know well that many of my readers do not think as I do. This also is most natural and confirms the theorem. For although my opinion turn out erroneous, there will always remain the fact that many of those dissentient readers have never given five minutes' thought to this complex matter. How are they going to think as I do? But by believing that they have a right to an opinion on the matter without previous effort to work one out for themselves, they prove patently that they belong to that absurd type of human being which I have called the "rebel mass." It is precisely what I mean by having one's soul obliterated, hermetically closed. Here it would be the special case of intellectual hermetism.
José Ortega y Gasset
I use emacs, which might be thought of as a thermonuclear word processor. It was created by Richard Stallman; enough said. It is written in Lisp, which is the only computer language that is beautiful. It is colossal, and yet it only edits straight ASCII text files, which is to say, no fonts, no boldface, no underlining. In other words, the engineer-hours that, in the case of Microsoft Word, were devoted to features like mail merge, and the ability to embed feature-length motion pictures in corporate memoranda, were, in the case of emacs, focused with maniacal intensity on the deceptively simple-seeming problem of editing text.
Neal Stephenson
Yeah, our view of reality, the one we conventionally take, is one among many. It's pretty much a fact that our entire universe is a mental construct. We don't actually deal with reality directly. We simply compose a picture of reality from what's going on in our retinas, in the timpani of our ears, and in our nerve endings. We perceive our own perception, and that perception is to us the entirety of the universe. I believe magic is, on one level, the willful attempt to alter those perceptions. Using your metaphor of an aperture, you would be widening that window or changing the angle consciously, and seeing what new vistas it affords you.
Alan Moore