Quick – which of these lines is longer?
If you’re reading this, you’re taking too long to answer the question.
If you said the one on the right, congratulations! You’re wrong, of course, but your brain is working perfectly well. This is an example of an optical illusion, an image specifically created to trick your brain. You probably saw a lot of these as a kid, and you may have even thought they were fun. I know I did. I remember finding optical illusions in books, learning about the trick, and then quizzing classmates about them (I was a strange kid). I got satisfaction from knowing the trick to the picture, especially when others couldn’t see the illusion.
Once I got through graduate school, though, I realized that there are a lot of times where knowing the trick just brings up more questions. For example, let’s look at those lines again:
Yup, still lines.
The right one still looks longer, right? But we absolutely know that these lines are the same length! That’s why, to me, the big question is this:
Why does the illusion still work, even after we know the trick?
When my research manuscript was rejected from my first choice journal, I felt my heartstrings tug. I swallowed my emotion, and methodically analyzed every comment from the reviewers. I considered the reviewers’ reasons why my experiment was insufficient and (begrudgingly) assessed why my conclusions were inadequate. I finally addressed each suggestion with new time-consuming experiments. After six full months of poring over this manuscript, bright eyed and hopeful, I submitted it to a second journal. When it was rejected again, I cried.
My adviser had a different reaction to the ordeal. The first time my manuscript was rejected, he read over the reviewers comments with a steely glare. He remained stoic, other than a slight frown. He finally exhaled a stern “Okay.” Over the course of those next six months, he calmly pored over all my edits. Our discussions on each reviewer’s comments were always sharp and concise. My adviser’s reaction the second time my manuscript was rejected: steely glare, slight frown, stern exhale, “Okay.”
Linguists have many theories about how language works. But how much should the computer scientists who work with language care? (CC image courtesy of Flickr/surrealmuse)
“You’ve just explained my entire life to me.” This was the last thing I was expecting to hear from Lori, my graduate advisor, in the midst of a discussion of my career plans. I gave a stiff smile and shifted uncomfortably in my chair. “What you just said,” she continued, “that’s why I’m here, not in a linguistics department. In a linguistics department in the 80’s, I might have felt like a hypocrite.”
What I’d said hadn’t been a deliberate attempt to enlighten a researcher 30 years my senior. I’d simply mentioned my preference for application-oriented research groups, because I care more about producing useful insights than true theories. Apparently, though, the distinction between usefulness and truth struck a chord with Lori: in the field she and I work in, what’s useful isn’t always true, and what’s true is often not useful. Lori, a linguist in a school of computer science, has found her career path to be largely determined by that distinction.
I was sitting in my college dorm room, working on some engineering homework, but I just couldn’t focus. My mind kept wandering back to the game. How could I have played so poorly? My teammates must hate me. Did I cost us a chance at the playoffs?
In college I played on the varsity baseball team and studied mechanical engineering. I worked hard on the practice team for 2 years and finally got my shot to start at third base as a junior. But things weren’t going according to plan. Third base has a long throw across the infield to first base, and I was having trouble making the throw accurately. By itself, this wasn’t unusual; every player goes through his funks and eventually works out of it. But despite hours of extra practice, I was stuck in a rut. My frustration culminated in a game in which I committed 4 throwing errors and we lost to an important division opponent by 1 run. My teammates had battled tooth and nail to make it a close game, and I literally threw it all away.
The crowd milling around the salt boutique is a mix of young bohemians and bourgeois baby boomers, all looking to add some flavor to their lives. The description of every product is written in transcendent prose that describes how each salt formed in a distinct, yet ‘natural’ environment, free of human interference. This salt was then harvested, often times with wooden tools, and transported thousands of miles for your purchasing pleasure. These specialty salts come in a variety of colors and have distinctive names representing their proud origins. For these distinctive salts, you can expect to spend about fifty times more per ounce than you would pay for your average table salt at a supermarket.
From left to right: Specialty salts Himalayan Pink Mineral Salt and Kala Namak Black Indian Salt, and generic table salt
I have a confession to make. I suck at math. I always have, and maybe always will. Despite possessing two engineering degrees and being very close to completing a third, I can’t say that I am comfortable with math. So you might be surprised if you ever drop by my office on a Sunday afternoon. You’ll find me with a broad smile on my face, leafing through a big fat book titled something like ‘Advanced Engineering Mathematics’. I read it because I want to, and I read it because it is fun.
“But math is hard!”, you say. I agree, but great difficulty does not always breed contempt. On the contrary, years of struggling with math have actually pushed me to a level where I have started to see the beauty in it.
To the uninitiated, the very notion of finding beauty in numbers and rigid logic might seem absurd. Nothing could be farther from the truth. Case in point – the pictures below:
Erin Andrews is sold on probiotics. Are you?
Erin Andrews is trying to sell me probiotics.1 She is walking through a bustling gym wearing a sharp blazer and a fresh blow out. Male patrons gawk. She bubbles that the euphoric powers of probiotics can improve digestion and immunity. She takes probiotics, and she has grown tall, healthy, and has a sweet gig interviewing football players. And now every gym member is clamoring to get a slice of that probiotic pie.