A Quote by Sheldon Lee Glashow

Plane geometry is sort of the key course where you learn about proving things and abstraction. — © Sheldon Lee Glashow
Plane geometry is sort of the key course where you learn about proving things and abstraction.
Abstraction didn't have to be limited to a kind of rectilinear geometry or even a simple curve geometry. It could have a geometry that had a narrative impact. In other words, you could tell a story with the shapes. It wouldn't be a literal story, but the shapes and the interaction of the shapes and colors would give you a narrative sense. You could have a sense of an abstract piece flowing along and being part of an action or activity. That sort of turned me on.
When you learn to read and write, it opens up opportunities for you to learn so many other things. When you learn to read, you can then read to learn. And it's the same thing with coding. If you learn to code, you can code to learn. Now some of the things you can learn are sort of obvious. You learn more about how computers work.
I don't care about proving things to people. I'm proving things to myself.
I cannot stress often enough that what science is all about is not proving things to be true but proving them to be false.
First you learn the value of abstraction, then you learn the cost of abstraction, then you're ready to engineer.
Crystals grew inside rock like arithmetic flowers. They lengthened and spread, added plane to plane in an awed and perfect obedience to an absolute geometry that even stones - maybe only the stones - understood.
I travel light, but always with three key things: Passport, cash and iPod. The latter is perhaps the most key - it keeps me going at the gym or on the plane; I listen to everything from rock to country to blues.
I approached the bulk of my schoolwork as a chore rather than an intellectual adventure. The tedium was relieved by a few courses that seem to be qualitatively different. Geometry was the first exciting course I remember. Instead of memorizing facts, we were asked to think in clear, logical steps. Beginning from a few intuitive postulates, far reaching consequences could be derived, and I took immediately to the sport of proving theorems.
While the story about the hunt for bin Laden has been exhaustively reported and the key sources and witnesses are in agreement about the main points of the narrative, of course, it's still possible that we could learn new details about the story that would add to the narrative.
It's not about shutting people up or proving them wrong. It's about proving to ourselves what we're about.
Remember that every science is based upon an abstraction. An abstraction is taking a point of view or looking at things under a certain aspect or from a particular angle.
Pi is not merely the ubiquitous factor in high school geometry problems; it is stitched across the whole tapestry of mathematics, not just geometry's little corner of it. Pi occupies a key place in trigonometry too. It is intimately related to e, and to imaginary numbers. Pi even shows up in the mathematics of probability
There's nothing small or inconsequential about our stories. There is, in fact, nothing bigger. And when we tell the truth about our lives - the broken parts, the secret parts, the beautiful parts - then the gospel comes to life, an actual story about redemption, instead of abstraction and theory and things you learn in Sunday School.
The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.
There's some things that you learn as you're shooting, and as you're editing that are key, because when you start you don't have the brain that can finish it. You don't really know what it is, and that's the key job; figuring out what you actually have, not what you're dreaming of having.
The present author confesses that, to him, geometry is nothing at all, if not a branch of art ... A Treatise on Algebraic Plane Curves
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