China vs India, who is earning more money from USA? Vermin, our roommate, a young software specialist made a joke. He said their American is a...
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Add to myYahoo!While I've been writing about the Surreal numbers lately, it reminded me of some of the fun of Set theory. As a result, I've been going back to look at some old books. Since I've been enjoying it, I thought you folks would as well.
Set theory, along with its cousin, first order predicate logic, is pretty much thefoundation of nearly all modern math. You can construct math from a lot ofdifferent foundations, but axiomatic set theory is currently pretty much the dominant approach. (Although Topoi seem to be making some headway...)
There's a reason for that. Set theory starts with some of the simplest ideas, and extends in a reasonably straightforward way to encompass the most astonishingly complicated one. It's truly remarkable in that - none of the competitors to set theoryas a foundation can approach the intuitive simplicity of set theory.
So I'm going to write a bit about set theory as I explore my old books. And I thought that a good place to start was Cantor's diagonalization. Cantor is the inventor of set theory, and the diagonalization is an example of one of the first major results that Cantor published. It's also a good excuse for talking a little bit about where set theory came from, which is not what most people expect. Set theory was originally created as a tool for talking about the relative sizes of different infinities.
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Add to myYahoo!Read more information about the content of the - IBM Brings Nature to Computer Chip Manufacturing:the first-ever application of a breakthrough self-assembling nanotechnology to conventional chip manufacturing, borrowing a process from nature to build the next generation computer chips. The natural pattern-creating process that forms seashells, snowflakes, and enamel on teeth has been [...]
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http://engineering.curiouscatblog.net/2007/05/14/self-assembling-nanotechnology-i
n-chip-manufacturing/
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Add to myYahoo!I would like to learn more about the highest quality air filtration materials. I understand that glass fiber materials have been used for HEPA and UL...
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http://cr4.globalspec.com/thread/7923/Highest-Quality-Air-Filtration-Materials?fr
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Add to myYahoo!Hi folks; Those full timers wil know by know I have this unique facination with the Grand Unified Theory of the Universe. I do appreciate your thou...
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http://cr4.globalspec.com/thread/7922/Yet-another-gravitaional-conundrum-from-ASH
MAN?from_rss=1
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Add to myYahoo!Researchers are using a virtual reality simulation called "Virtual Iraq" to better understand how symptoms of post-traumatic stress disorder (PTSD) develop. In their ongoing research trial, participating Iraq War and Gulf War veterans with and without PTSD are shown a brief, 3-D virtual-reality simulation of an urban combat scenario. They wear a headset, through which they hear, see, and -- using a keypad -- move through a virtual world in which images change in a natural way along with head and body movement.
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Add to myYahoo!I cower away from the horror that is MySpace, and I scarcely know what to do with facebook; I'm all at sea on this social networking buzz. Now I've gone and signed up for another one, the Nature Network, a social networking site for scientists. I'm still lost. Maybe if I encourage a bunch of you other scientists out there to sign up, some comprehension will begin to gel for me.
Attila Csordas has a nice writeup of the whole magilla which helps. I'm giving it a shot, anyway.
I already notice it lacks those bosomy young ladies in skimpy clothing that always greet me on MySpace, and the contributors all seem to know how to write plain English, so it's different on those scores.
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Add to myYahoo!More and more people are being urged to swap their older tungsten lamps for the newer compact fluorescent types but not doubts are being raised as to...
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http://cr4.globalspec.com/thread/7921/Those-not-so-green-light-bulbs?from_rss=1
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Add to myYahoo!tags: Harry Potter, JK Rowling, books
Instead of reviewing new books as I should be doing, I have been nestled in the Harry Potter books, devouring them one last time before the last book in that series is published on 21 July 2007. Those of you who are fans will be pleased to note that JK Rowling is demanding that her fans not leak spoilers on the seventh installment's story. JK Rowling says it is best that all who know anything to keep it to themselves. She says;
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Add to myYahoo!Deforestation: The hidden cause of global warming:In the next 24 hours, deforestation will release as much CO2 into the atmosphere as 8 million people flying from London to New York. Stopping the loggers is the fastest and cheapest solution to climate change.Tropical Deforestation, Climate Impacts (NASA by Rebecca Lindsey):Undisturbed tropical forests may be nearly neutral [...]
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http://engineering.curiouscatblog.net/2007/05/14/deforestation-and-global-warming
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