Well, you’ve may have heard about imaginary numbers. There’s one problem: They don’t exist. Not really. That’s why they are called imaginary numbers. Real numbers, by contrast, do exist. You can put your hand on 2 apples. You can’t put your hand on an imaginary number of apples (unless you’ve had some mind-altering drugs, but that’s another story altogether.)

# Concepts

There are 3 posts filed in **Concepts** (this is page **1** of **1**).

# My least favorite function

… is the square root function.

Why? It’s a perfect example of a function that many people think is well defined, but in reality is not. Continue reading

# To Infinity (and beyond!)

Infinity is not an intuitive concept for most people. My favorite example is the magician with the inifinite hat:

Boffo the Impossible has an amazing trick. Starting at 11:00 am, Boffo puts two balls into a hat, and pulls one out. Every time he gets half-way closer to noon, he puts two balls in, and takes one out. So, at 11:30, he puts two in and takes one out. At 11:45, he puts two in and takes one out. At 11:52:30, he puts two in and takes one out. And so on — he becomes an flurry of activity as he gets closer to noon. At noon, he stops.

The question is: how many balls are left in his hat at 12:01 pm?