1. I am right, you are wrong: Confirmation Bias
People use information to justify their point of view. For example, Sachin Tendulkar’s Test average over the last two years is lower than Rahul Dravid’s and VVS Laxman’s, both now retired. So, he too should retire. But his supporters compare him with Sehwag and Gambhir. The former has a marginally higher average, the latter a lower one. Therefore, Sachin is the best we’ve got, and he should not retire! One way to avoid this bias is to talk to someone you respect and who can express a dissenting opinion.
2. Order in disorder: Central Limit Theorem
You walk into a party and find people talking in a variety of languages. What are the chances that about 66 percent would be using a particular language? Or, that about 60 percent of customers in a store picked a white or a blue pinstriped shirt? The chances are very high for both. The Central Limit Theorem says, roughly, that even seemingly random phenomena when observed long enough will tend to group itself into a bell curve-shaped pattern.
3. As simple as a ball: Poincare Conjecture
Henri Poincare claimed in 1904 that a loop on a 3D sphere can be contracted to a single point and that makes a sphere simply connected. It’s easy to understand the Poincare Conjecture if you are a cricket lover: The seam on a cricket ball can be slid off and shrunk to a full stop. For more than 100 years, nobody could prove it. The Clay Institute offered a $1 million reward for proving the conjecture. Then, in 2006, it was finally validated that Grigori Perelman, a Russian mathematician, had proved it. Do you need to know this to survive the modern age? No. However, this you do: Perelman turned down the prize, saying, “I am not interested in money or fame.”
4. What makes us compassionate: The Polyvagal theory
We all know about the ‘fight or flight’ part of the nervous system. But not many know about the enteric nervous system, which passes off as ‘gut feeling’. This is effectively our ‘second brain’, the one that stabilises us and makes us capable of expressing compassion and empathy. The key to this mind-body connection is the vagus nerve, which connects the brain and the abdomen. Along the way it touches the voice box, heart, liver and pancreas.
(This story appears in the 11 January, 2013 issue of Forbes India. To visit our Archives, click here.)