Triangles on Earth Exceed 180 Degrees

The idea that space and time can be curved or warped is fairly recent. For more than 2,000 years the axioms of Euclidean geometry were considered to be selfevident. As those of you who were forced to learn geometry at school may remember, one of the consequences of these axioms is that the angles ot a triangle add up to 180 degrees. However, in the last century people began to realise that other forms of geometry were possible in which the angles of a triangle need not add up to i8o degrees...

 The Anthropic Principle

As an example of the power of the Anthropic Principle, consider the number of directions in space. It is a matter of common experience that we live in three-dimensional space. That is to say, we can represent the position of a point in space by three numbers. For example, latitude. longitude and height above sea level. But why is space three-dimensional? Why isn't it two, or four, or some other number of dimensions, hke in science fiction? In fact, in M-theory space has ten dimensions (as wel...

 Space is Negative Energy

The great mystery at the heart of the Big Bang is to explain how an entire, fantastically enormous universe of space and energy can materiahse out of nothing. The secret lies in one of the strangest facts about our cosmos. The laws of physics demand the existence of something called "negative energy." To help you get your head around this weird'd but crucial concept, let me draw on a simple analogy Imagine a man wants to build a hill on a flat piece of land. The hill will represent the univ...

 Knowledge Work

The growing importance of knowledge as an economic resource reflects the fact that, as economies and production technologies develop, they become ever more complex and specialized, leading to increasing coordination costs. In the language of information economics, the organizational or informational task of coordinating the diverse steps in the productive chain grows, as the number of transactions within and among productive units increases (Joncher, 1983). Logically, the increasingly complex...

 Metagame

Metagaming refers to the relationship between the game and outside elements, including everything from player attitudes and play styles to social reputations and social contexts in which the game is played. Post-game locker room conversations about the match are metagame interactions. Memorizing words in the Scrabble dictionary is a metagame activity, the honing of in-game skills. The typical playing strategies of a particular Go master are metagame information, useful if you are playing agai...

 Rules are the Persistent Identity of a Game Across Cultur...

There are at least two senses in which the RULES schemas offer a "formal" way of looking at games. First, the term formal is used in the sense of "form": rules constitute the inner form or organization of games. In other words, rules are the inner, essential structures that constitute the real-world objects known as games. For example, consider two games of Go that differ in a variety of ways. They might differ in terms of: Material: one version is played with stones on a wooden board; the o...

 Break the Rules of a Game to Improve it

In The Well-Played Game, Bernard DeKoven advocates a fundamental adjustment in players' attitudes towards the rules of a game: You're not changing the game for the sake of changing it. You're changing it for the sake of finding a game that works. Once this freedom is established, once we have established why we want to change a game and how we go about it, a remarkable thing happens to us: We become the authorities. No matter what game we create, no matter how well we are able to play it,...

 The Information Age has Increased Abstract Intelligence

Most dramatically, an increase in one kind of abstract intelligence is visible all over the world: mastery of digital technology. Cyberspace is the ultimate abstract realm, in which goals are achieved not by pushing matter around in space but by manipulating intangible symbols and patterns. When people were first confronted with digital interfaces in the 1970s, like videocassette recorders and ticket machines in new subway systems, they were baffled. It was a running joke of the 1980s that mo...

 Money Allows for Easy Conversions

Money is thus a universal medium of exchange that enables people to convert almost everything into almost anything else. Brawn gets converted to brain when a discharged soldier

 Summary of Human Evolution

ABOUT 13.5 BILLION YEARS AGO, MATTER, energy, time and space came into being in what is known as the Big Bang. The story of these fundamental features of our universe is called physics. About 300,000 years after their appearance, matter and energy started to coalesce into complex structures, called atoms, which then combined into molecules. The story of atoms, molecules and their interactions is called chemistry. About 3.8 billion years ago, on a planet called Earth, certain molecules combi...