Bifurcation Quotes

The Buddha, in recovering his capacity for nonsensual joy, learned that this joy was limitless. He found that if he got himself out of the way, his joy completely suffused his mindful awareness. This gave him the confidence, the stability, the trust, and the means to see clearly whatever presented itself to his mind. In the curious bifurcation of consciousness that meditation develops, where we can be both observer and that which is being observed, the quality of joy that he recovered did not remain an internal object. It was not only a memory or merely a feeling to be observed; it was also a quality of mind that could accompany every moment of mindfulness. The more he accepted the presence of this feeling and the more it toggled between being object and subject, the closer the Buddha came to understanding his true nature. ~ Mark Epstein

I have noticed a curious bifurcation in outcome in the way romances are written by women et written by men - Love Story, The Bridges of Madison County, every James Bond tale ever penned, even the film named above - end with the woman either lost or dead. And the man free to love, or at least to have sex, again. Romances (in the modern genre sense) written by women end with the couple alive, together, and in a committed and at least potentially fertile relationship, ready to turn to the work of their world. In other words, men's romances are about love and death; women's romances are about love and life. ~ Lois McMaster Bujold

It is difficult, almost impossible, in fact, for the scientific community to recognize the fact that Cartesian bifurcation is a philosophic postulate, for which there is absolutely no scientific basis [...] It is not that they can conceive or imagine a scientific proof of that hypothesis; it is rather that they are unable to conceive that it might not be true. ~ Wolfgang Smith

If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos. ~ Gary William Flake

In a dynamical system, or a massively complex dynamical system such as we live in, when there is a moment of bifurcation, which is the technical mass jargon for "the snap", that is the only time you get to do anything about the evolution of the system. So according to this self-inflating view, we live at an especially important special moment in history where when we think something or do something it has actually an enormous effect on the future. What we do has some influence on the creation of the future more than at other times in history. ~ Ralph Abraham

Explosive bifurcation is the sudden transition that wrenches the system out of one order, and into another. ~ Wally Lamb

One way to find food for thought is to use the fork in the road, the bifurcation that marks the place of emergence in which a new line of development begins to branch off. ~ William Irwin Thompson

Feminism is itself a challenge. Feminism is a challenge to the way things are in the world. It is by definition an oppositional movement, because it's trying to accomplish something. I've never felt like feminism was a consciousness raising effort in isolation. Everything about feminism is about getting something in the world to get better for women, and to get the world to be less stupid on gender bifurcation terms. I think that feminism over time gets better, or it gets better and worse and better and worse at achieving the goals that it's trying to achieve, but the overall mission stays the same. I guess I don't think of it as feminism versus anti-feminism; I sort of think of it as feminism versus the world. I don't think of it as a competition; there's no winning. In feminism, you're always trying to make stuff better. It's opposition to which you cannot attribute a tally. ~ Rachel Maddow

One of my frustrations is that we in society generally have this bifurcation in how we see the world. That's probably a little less true with business audiences, but in general, there tends to be this view that for-profit companies are greedy, and nonprofits are noble. It's absolutely more complicated than that. ~ Nicholas Kristof