Proof of six degrees of separation
(Credit: Wikipedia)In a research paper from June 2007, titled "Worldwide Buzz: Planetary-Scale Views on an Instant-Messaging Network (PDF)," Eric Horvitz of Microsoft Research and Jure Leskovec of Carnegie Mellon University analyzed 30 billion conversations among 240 million people using Microsoft Instant Messenger in June 2006. It turned out that the average path length, or degree of separation, among the anonymized users probed was 6.6.
Six degrees of separation posits that a person is a step away from people they know and two steps distant from people known by the people they know--thus the magic number six.
Following is a more in-depth explanation of the phenomenon from an updated version of the research (PDF) posted on arXiv.org:
We present a study of anonymized data capturing a month of high-level communication activities within the whole of the Microsoft Messenger instant-messaging system. We examine characteristics and patterns that emerge from the collective dynamics of large numbers of people, rather than the actions and characteristics of individuals. The dataset contains summary properties of 30 billion conversations among 240 million people. From the data, we construct a communication graph with 180 million nodes and 1.3 billion undirected edges, creating the largest social network constructed and analyzed to date. We report on multiple aspects of the dataset and synthesized graph. We find that the graph is well-connected and robust to node removal. We investigate on a planetary-scale the oft-cited report that people are separated by "six degrees of separation" and find that the average path length among Messenger users is 6.6. We also find that people tend to communicate more with each other when they have similar age, language, and location, and that cross-gender conversations are both more frequent and of longer duration than conversations with the same gender.
Via Roland Piquepaille on ZDNet
See also Nature, "Six Degrees of Messaging"
Dan Farber is editor in chief of CBS Interactive News, which includes CBSNews.com and CNET News. He has more than 25 years of experience as an editor and journalist covering technology. E-mail Dan.
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This study DOES prove:
People that are connect to each other, are connected to each other.
17] J. Travers and S. Milgram. An experimental study of the small world problem. Sociometry, 32(4), 1969.
Today, we lack the understanding of how the world becomes disclosed to us. For instance, our senses perceive something to the extent that this ?something? is disclosed to them, and beforehand, it is as if this ?something? had never existed. In other words, something we perceive is born in the same moment we discover it. Just take a look at the laws of nature we know about today: until we discovered them, it was as if they had never existed. Obviously, they had always existed, but we simply couldn?t perceive them: they existed in potential, instead of in action, with regard to us.
Baal HaSulam explains that the world is divided into a revealed and a concealed (secret) part. Therefore, the time we will discover the true connection among people (souls), we will know (with Mocha ? mind) and feel (with Liba ? heart), simultaneously, that everyone in the world is solely dependent on everyone else?s goodwill: People?s attitudes of love or hate will determine whether or not they will bring life or death upon others. http://www.laitman.com/2008/03/26/our-planet-is-only-as-big-as-a-house/