Complexity in Systems

On the far left are fixed systems that remain unchanging.hand, a screen that is full of random static would be completely The relationships between their elements are always the chaotic, with the color of a dot at one moment having nothing same. The black, unchanging TV screen is a good image for this kind of system. To the right of fixed systems in the chart are periodic ones. Periodic systems are simple systems that repeat the same patterns endlessly. The simple two-building version of the...

 Engineering New Ways to Think About Things

One cluster looks, for example, for new ways of representing and understanding complex systems. A second cluster aims for more access to knowledge by undoing contemporary media’s restrictions (such as the restriction of the screen, which produces, with its peek-a-boo access to complexity, impenetrable forms of knowledge such as the trillions of lines of code, written on screens and then stared at on screens). A third cluster explores new forms of representing time, and a fourth one more eff...

 Learning is Intrinsic to Games

As one gamer has said, “In a game, you want to learn because you’re playing it, and if you didn’t want to learn, why would you be playing it?” (Selfe & Hawisher, 2007, p. 1). For this very reason, games are uniquely powerful tools that help teachers understand how to build empowering lessons and shape how students experience learning. Each game is a curriculum unto itself; each game is a unique engine that can reengineer learning experiences. Every game gives the player an opportu...

 Metaphor in Science

Metaphor in science, Boyd suggests, is a version of the everyday process in which a metaphor is pressed into service to fill gaps in a language’s vocabulary, like rabbit ears to refer to the antennas that used to sprout from the tops of television sets. Scientists constantly discover new entities that lack an English name, so they often tap a metaphor to supply the needed label: selection in evolution, kettle pond in geology, linkage in genetics, and so on. But they aren’t shackled by the...

 The Web of Causation

...complex systems, such as financial markets or the Earth’s biosphere, do not seem to obey causality. For every event that occurs, there are a multitude of possible causes, and the extent to which each contributes to the event is not clear, not even after the fact! One might say that there is a web of causation. For example, on a typical day, the stock market might go up or down by some fraction of a percentage point. The Wall Street Journal might blithely report that the stock market move...

 The Pareto Distribution

The Pareto distribution shows up in a remarkably wide array of complex systems. Together, “the” and “of” account for 10 percent of all words used in English. The most volatile day in the history of a stock market will typically be twice as volatile as that of the second-most volatile and ten times the tenth-most. Tag frequency on Flickr photos obeys a Pareto distribution, as does the magnitude of earthquakes, the popularity of books, the size of asteroids, and the social connectedness...

 Definition of a Naturalist

If people ask me about my worldview, I say that I am a naturalist. When most people hear that word, they think of someone who spends a lot of time outdoors watching birds and admiring landscapes—and I suppose that description applies to me. But I think of naturalism as a philosophy rather than a lifestyle. F a philosophical perspective, naturalists believe that the physical universe is the universe. In other words, there are no supernatural entities or forces acting on nature, because there...

 Physics Reduced to Probability

Philosophers have said that if the same circumstances don't always produce the same results, predictions are impossible and science will collapse. Here is a circumstance—identical photons are always coming down in the same direction to the piece of glass—that produces different results. We cannot predict whether a given photon will arrive at A or B. All we can predict is that out of 100 photons that come down, an average of 4 will be reflected by the front surface. Does this mean that phy...