Gödel's Incompleteness Theorem Gödel’s Incompleteness Theorem: The #1 Mathematical Discovery of the 20th Century In 1931, Kurt Gödel delivered a devastating blow to the mathematicians of his time In 1931, the young mathematician Kurt Gödel made a landmark discovery, as powerful as anything Albert Einstein developed. Gödel’s discovery not only applied to mathematics but literally all branches of science, logic and human knowledge. Oddly, few people know anything about it. Allow me to tell you the story. Mathematicians love proofs. So for example if you studied high school Geometry, you’ve done the exercises where you prove all kinds of things about triangles based on a list of theorems. That high school geometry book is built on Euclid’s five postulates. Yes, it does seem perfectly reasonable that a line can be extended infinitely in both directions, but no one has been able to PROVE that. Towering mathematical geniuses were frustrated for 2000+ years because they couldn’t prove all their theorems. “I am lying.” 1. 1.
Created Equal: A Stunning Photo Series Exploring Cultural Difference in America ~ The Photomag Detroit-born Photographer Mark Laita explores social and cultural clashes between different social backgrounds by juxtaposing people of United States in his stunning series “Created Equal”. By contrasting social inequality, Laita invited the viewers to think about how and why they took these different directions. People born equal but turned out totally different in real life. Mark Laita in his photo series compare different people from all walks of life such as a bank robber and a policeman, a high school dropout and a college graduate, a company president and a janitor etc. It took almost 8 years for Mark Laita to complete the project. Company President / Janitor Amish Teenagers / Punk Teenagers Marine / War Veteran Vegetarian / Butcher, 1999 / 2004 CEO / Messenger, 2006 / 2005 College Graduate / High School Dropout Indigent Couple / Wealthy Couple Showgirl / Librarian Rock Band / Polka Band, 2006 / 2006 Ballerina / Trucker Coal Miners / Male Exotic Dancers Baptist Minister / Ku Klux Klan
Japanese breakthrough will make wind power cheaper than nuclear NOTE: Some major wind projects like the proposed TWE Carbon Valley project in Wyoming are already pricing in significantly lower than coal power -- $80 per MWh for wind versus $90 per MWh for coal -- and that is without government subsidies using today's wind turbine technology. The International Clean Energy Analysis (ICEA) gateway estimates that the U.S. possesses 2.2 million km2 of high wind potential (Class 3-7 winds) — about 850,000 square miles of land that could yield high levels of wind energy. This makes the U.S. something of a Saudi Arabia for wind energy, ranked third in the world for total wind energy potential. The United States uses about 26.6 billion MWh's, so at the above rate we could satisfy a full one-third of our total annual energy needs. Now what if a breakthrough came along that potentially tripled the energy output of those turbines? Well, such a breakthrough has been made, and it's called the "wind lens." Editor's note: Want more info?
The Next 33 Rules to Not be a Crummy Human Being This week has turned into a week of lists, haha. This is the second installment of my “Crummy Human Being” series. Be sure to check out the first one as well. The world is full of awesomeness, and it’s also full of awesome, ummm, how do I put this… opportunities to be decent and better human beings. Over the last couple years, I have been keeping a funny list with the intent to write a blog post about all the little rules for basic human decency I come across. My Second 33 Rules to Not be a Crummy Human Being Don’t automatically reply, “I know” every time someone points out you’re wrong.
10 Sentences that Can Change Your Life The power of a sentence is tremendous. A single destructive sentence can ruin somebody’s life, make your day, or change your mood. Fortunately, there are some sentences that can give us power to go on. We have sorted out 10 powerful sentences that can change your life for the better. #1 “People aren’t against you; they are for themselves.” #2 “Climb mountains not so the world can see you, but so you can see the world.” #3 “You learn more from failure than from success; don’t let it stop you. #4 “The most dangerous risk of all – The risk of spending your life not doing what you want on the bet you can buy yourself the freedom to do it later” #5 “Go where you’re celebrated, not where you’re tolerated.” #6 “The person that you will spend the most time with in your life is yourself, so you better try to make yourself as interesting as possible.” #7 “If you accept your limitations you go beyond them.” #8 “People often say that motivation doesn’t last. #10 “Comfort is the enemy of achievement.”
26 of the best pieces of advice you'll ever hear It's not every day that a duck gives you some of the best advice of your life. Well, luckily for you, today is one of those days. Just when you thought that all hope was lost here he is. From your relationship issues, to your grades, to your microwaving. In fact, we think he should be called 'Agony Mallard', and we're sure he'd be happy to solve your problems. No, seriously, he's waiting. We're giving away first class InterRail tickets, lunch at PizzaExpress, tickets to Bestival, and loads more... For a chance to win go to Refreshers Wall now
'Brain Games' Series to Examine Secrets of the Mind Quirks of the brain make humans, well, human, and can be harnessed for good or ill. A new television series on the National Geographic Channel called "Brain Games" will use illusions, mind games and interactive experiments to reveal these inner workings of the human brain. For example, would you believe that Texas had seceded from the United States, if told so by a strange man on the street? Probably not. Each episode in "Brain Games" will explore a different topic. The Imaginary Foundation, a Swiss institute that studies imagination, wrote of Silva and his new series as "some kind of Ontological DJ, he recompiles the source code of Western philosophy by mixing and mashing it up into a form of recombinant creativity, which elevates understanding from the dry and prosaic, to a sensual cognitive romance." Silva is joined by "The Gentleman Thief" Apollo Robbins, a deception specialist.
Confessions of a 30-Something: I Lie to My Parents About Money By Penny Wrenn I have this bad habit. Well, it's not exclusively bad, but if you're the kind of person who gets annoyed by anyone who chats on a cell phone in public, then you'd likely find my tendency of calling my mother whenever I'm walking home from the subway or to a friend's house highly irksome. The fact that I talk to my mother so frequently might make you think that I'm that girl who's all, "My mom is totally my best friend. Exclamation point. Exclamation point." For example, just yesterday the first part of our conversation went like this: Me: "Hey, Mommy. Now, let me say something about this exchange: I kinda lied. You see, not only am I a grown woman who still refers to her mother as Mommy, but I'm also a grown woman who goes to great lengths to conceal from her parents just how much of a financial mess she is. The Problem With My Financial Picture I'll be upfront about my bad money habits. I owe nearly $2,000 in back taxes. There's also the issue of credit card debt.
47 Mind-Blowing Psychological Facts You Should Know About Yourself I’ve decided to start a series called 100 Things You Should Know about People. As in: 100 things you should know if you are going to design an effective and persuasive website, web application or software application. Or maybe just 100 things that everyone should know about humans! The order that I’ll present these 100 things is going to be pretty random. Dr. <div class="slide-intro-bottom"><a href=" Magic versus Miracles Magic, Miracles, and Christianity Magic versus Miracles: This is a spiritual subject that has caused more arguments and misunderstandings than just about any other. Maybe, with Harry Potter running loose, this is a good time to bring out the dirty laundry from under the stairs and let it all come clean. Many Christians feel that Harry's influence is not a good thing. Why is it that some religions believe that miracles are from God, a good and beautiful occurrence, and that magic — even if it is performing the same feat — is evil? In the outer world of the senses, there is no difference between magic and miracles, from my way of seeing. But is there, as some Christians suggest, a problem with magic? This question could be answered in various ways depending on one's relationship to Christianity. So many questions.[1] I will do my best to give you my truth, but realize it is only my truth. Even Jesus had to do this. But what about the potential problems? Siddhi Yoga Black and White Magic
100 of the Most Inspiring Business Videos on YouTube YouTube is filled with inspirational videos of all types, including those created by businesses or individuals looking to inspire others to succeed. Let’s look at 100 of the most inspiring business videos ever placed on this site. Great Inspirational Tips for Business Success Take a look at these cool business inspiration clips. 1. 9 Steps to Achieve Any Goal – Isn’t it great to know that you can make your business and personal dreams come true in nine steps? 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. Home Business Inspiration Starting a home business can be a scary prospect. 16. 3HourWorkDay.com – Awesome inspiration to create your own work-from-home business. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. Humorous Business Inspiration Sometimes a good laugh can be all the business inspiration you need, especially when that laugh is related to business! 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. Inspirational Business Quotes and Poems 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52.
Andy Marra: The Beautiful Daughter: How My Korean Mother Gave Me the Courage to Transition Growing up, I remember making a pact with myself. As an adopted child I promised to find my family in Korea, but how exactly that would occur remained a mystery to me. I luckily had the unconditional support of my American family, even if they were stumped by my vague plan. I later came out as a trans woman in 2003. But there was always one barrier to my life of intersecting identities that I struggled to overcome. Like me, more than 200,000 Korean babies and children have been sent overseas. In 2010 I had the opportunity to return to Korea for the first time. I had been warned of this institutional reluctance in advance. It was my last day in Korea, and I was still reeling over the newly acquired information. "I want to look for my family today," I told my friends sitting at the table. My friends quickly agreed. So I wore jeans and a T-shirt instead of a dress. We took a short subway ride to Seoul's suburbs and looked for a local police station. "Help me!" "What should I do?" "What?