There are many things we need to function every day: love, family and friends, good health, puppies, Toastmasters. There is one more: passwords. Think about it. We use passwords every day, when we check our computer, phone, email, Facebook, Twitter, bank account—basically, anything that represents us. Passwords are valuable.
You may have seen braille in elevators and on ATMs and door signs, but brushed it off as something that’s for blind people and not for you. As a student, you may have seen braille in a math problem involving patterns and binary choices. As a puzzle enthusiast, you may have seen braille in a decryption challenge. But is that all there is to braille?
For an upcoming Toastmasters speech, I decided to get to know braille, by researching and interviewing locals who professionally work with people who are blind and visually impaired. Surprisingly, the more I looked into braille, the more I realized its diminishing role in the modern world. I want to address the problem today.
This is a right whale. Right now, there are only 450 right whales alive in the North Atlantic Ocean. They are the rarest among all large whales.
But fear not. A month ago, a group of people came to their rescue, and those people? They were data scientists.
Let’s start off with something that puzzled mathematicians for over 300 years: infinity.
There are two definitions that we can give to infinity. One is “in the limit,” and the other “infinite set.” I will explain what each means and how things can go wrong at infinity. Lastly, I will draw pictures to prove a mathematical fact involving infinity. You will be surprised by just how obvious it is.