The boundary is where points are slowest to escape the pull of the set. It is as if they are balanced between competing attractors, one at zero and the other, in effect, ringing the set at a distance of infinity.
the pattern appears so ethereally, that it is hard to remember that the shape is an attractor. It is not just any trajectory of a dynamical system. It is the trajectory toward which all other trajectories converge.
No matter what measures are taken, doctors will sometimes falter, and it isn't reasonable to ask that we achieve perfection. What is reasonable is to ask that we never cease to aim for it.
Ignorance more frequently begets confidence than does knowledge: it is those who know little, not those who know much, who so positively assert that this or that problem will never be solved by science.
[I do not believe] in a personal God, let alone a Christian God.
Science is agnostic when it comes to God - not atheistic, as some people prefer to read that laden word wrongly - just agnostic.
Science and art,... they seek the truth and the meaning of life, they seek God, [and] the soul, and when they are harnessed to passing needs and activities,... then they only complicate and encumber life.
No one infers a god from the simple, from the known, from what is understood, but from the complex, from the unknown, and incomprehensible. Our ignorance is God; what we know is science.
History of science is a relay race, my painter friend. Copernicus took over his flag from Aristarchus, from Cicero, from Plutarch; and Galileo took that flag over from Copernicus.
Some people do polarizing the religion against science. I use both to solve a problem with two different kind of approach.
It was funny how none of her classes in library science has prepared her for this sort of thing, dead bodies, staff under suspicion, crazed reporters. Really, they needed to consider expanding the curriculum.
If it weren't for greed, intolerance, hate, passion and murder, you would have no works of art, no great buildings, no medical science, no Mozart, no Van Gough, no Muppets and no Louis Armstrong.
It is different with the upper classes. They, following science, want to base justice on reason alone, but not with Christ, as before, and they have already proclaimed that there is no crime, that there is no sin. And that's consistent, for if you ha...
...the real threat from cranks is not that their customers might die -- there is the odd case, although it seems crass to harp on about them - but that they systematically the public's understanding about the very nature of evidence.
...the real threat from cranks is not that their customers might die - there is the odd case, although it seems crass to harp on about them - but that they systematically undermines the public's understanding about the very nature of evidence.
Might it be possible at some future time, when neurophysiology has advanced substantially, to reconstruct the memories or insight of someone long dead?...It would be the ultimate breach of privacy.
Indubitably, Magick is one of the subtlest and most difficult of the sciences and arts. There is more opportunity for errors of comprehension, judgement and practice than in any other branch of physics.
Remember in 1973 the same science chatter said that the coming Ice Age is going to occur, we're going to lose millions of people. And the politicians knew how to solve it, they just didn't have the courage to solve it; they were going to put coal dus...
It was unthinkable not long ago that a biologist or paleontologist would be at the same conference as an astrophysicist. Now we have accumulated so much data in each of these branches of science as it relates to origins that we have learned that no o...
Science is one of a handful of things that defines us as a very special species. It is amazing how far we have been able to get and how accurate our predictions are. I think understanding how the universe was born is very important. It really gives u...
When state funding for Irvine public schools began to diminish some time ago, my Irvine Company colleagues helped me to provide private funding support for continuation of basic science, art and music programs that had been eliminated by lack of stat...