Tag / mathematics

by Nathan Coumbe

Fractals, recursions, and setbacks in life

In Jurassic Park (pp. 189-190), Ian Malcolm discusses the idea of fractals and recursion.

In short, a small part of something will look the same as a bigger part of that something. For example, the peak of a mountain will look similar in shape to a small piece of that mountain if you were to put it under a microscope.

He claims that this is also true of events.

Think of a graph in the stock market. A line graph mapping a single day in the stock market will look similar to a week in the stock market if you zoom out. Zoom out again; that week will look the same as a year in the stock market if you zoom out. The ups and downs of each frame will look quite similar.

The same is true for each of our lives. The line mapping the “good things” in our lives will go up, and then something akin to a stock market crash will drive it back down.

You’ll see this in your day: perhaps you’re incredibly productive in the morning, but a bad meeting can send your day’s plan careening off in another direction.

Your week will have a series of good days, followed by awful days where someone cuts you off in traffic and sends you flying into a tree. Or perhaps your child comes down with the flu, and you’re cleaning up vomit for the next three days.

You’ll have a series of great months, thinking everything is about to turn around this year, then your father dies, devastating your family and all the plans you had imagined.

Like the stock market, your life will go up, then fall. And if you survive it, you can rest assured it will happen again. It is inevitable.

“We have soothed ourselves into imagining sudden change as something that happens outside the normal order of things. An accident, like a car crash. Or beyond our control, like a fatal illness. We do not conceive of sudden, radical, irrational, change as built into the very fabric of existence. Yet it is.” —Ian Malcolm, Jurassic Park

by Nathan Coumbe

The Transitive Property of Belief

Time for a math lesson! Bear with me—it matters.

The Transitive Property of Mathematics says this: for all real numbers x, y, and z, if x=y and y=z, then x=z also.

That makes sense, right?

Why am I telling you this? Because this same mathematical property affects all outcomes you experience in life.

Think about it: how you see an aspect of reality affects how you behave. How you behave affects the results you get. Therefore, how you see things affects the results you get. X=Y and Y=Z, so X=Z as well.

Dr. Stephen R. Covey called this the “See-Do-Get Continuum.” How we see the world affects what we do, which affects what we get in life. (You can learn all about it in his monumental work The 7 Habits of Highly Effective People.)

Covey likes to say, “How we see the problem is the problem.” In this case, “seeing” could also translate into “believing.”

Here’s an example:

Let’s say you’re a manager and you’ve recently had a few millennials added to your team. If you believe all millennials are lazy and entitled, you’re going to treat them as such. This will so alienate them and undermine your relationship that pretty soon, they’ll start acting out.

Most likely they’ll rebel against you by doing the bare minimum, scraping by because in their minds nothing they do will be good enough to please you anyway. Why should they put out more effort than necessary?

How you saw them affected your behavior towards them, which affected how they behaved (your results). It’s the Pygmalion Effect, a self-fulfilling prophecy.

Can you see how this continuum affects us when it come to things like race, gender, or religion? Our beliefs shape our actions; our actions shape our outcomes.

So what’s the bottom line?

If you want to change the world—or maybe just your situation in it—start first by changing your beliefs. Work first on how you see things.

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