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Somewhat related, I've seen a similar equation for motivation:

        E*V
    M = ---
        I*D
Motivation = (Expectancy * Value) / (Impulsiveness * Delay)

Which comes from "The Procrastination Equation" by Piers Steel, an academic focused on motivation. I haven't finished the book since it's pretty self help-y, but I do like the equation. Here, expectancy is perceived likelihood of finishing the task, value is obvious, delay is how long until the payoff, and importantly, impulsiveness is the general impulsiveness of the task doer.


BJ Fogg's book Tiny Habits is great, particularly about the important of motivation vs ability in starting new routines. His main point is that ability relative to the task is much more important than motivation, because motivation is volatile. That is, it's much more likely that your ability to do something will remain stable long term than your motivation to do something. So if you choose really easy things to do to start a new habit (drink a glass of water in the morning), your motivation won't matter much, and the habit will stick.

https://www.amazon.com/Tiny-Habits-Changes-Change-Everything...

So I think Piers is skating over that very important part of the equation.

Another piece of it is, if you manage to get healthy somehow, sleep better etc, then your motivation changes; the base level is reset. You have more energy to spare which you can devote to goals.

But I think there is a simpler way to think about motivation, which comes down to the ratio of effort to reward. The smaller the effort-reward ratio of a given activity, the more likely one is to do it. That single idea seems to rule my own behavior and that of many people I see. But it's also something you can hack, partly by using Fogg's idea of starting small. To change a behavior (and ultimately, your life), you just need to find a small enough starting activity to trigger action. It's not about motivation at all, and all the "motivational speakers" out there are misleading people in some fundamental way about the path to change.

One of the traps in that dynamic is that as we decrease the magnitude of the activity (drink a glass of water as oppposed to "go to the gym once a week to get stacked"), our motivation decreases as it loses its grandiose visions of change. I don't think task size and motivation necessarily decrease at the same rate tho. And I do think that grandiose visions are sometimes a form of self-sabotage or psychological homeostasis; ie "i'm only motivated to do things that i can't follow through on."

I don't find I effectively build small habits. I tried doing 10 pushups a day and failed, but then I started going to the gym and that full-on, hours of effort keeps me motivated and wanting to go. I'm not great at half-assing two things, I certainly can't 100th-ass 100 things ;)
Thank you for saying that. I learned something.
Now that I'm thinking of it, I have a lot of small habits that were once large habits. I can get up and go for a run any given day, and I might do it every day for months if I have time, or I may not. Doing 10 pushups a day is no problem even on off-gym days. I wonder how much of it is related to the fact that these stimuli are not novel, and I know I can do them effectively and don't have to slog through something where I won't see results. I'd still love to build up a reading habit again.
Makes sense how it depends on both the task and the person. I wonder if there is any way to change impulsiveness or if it's some sort of genetic trait. There are probably both learned and genetic factors.
It's certainly both. The genetic component is clearest to me when I see kids grow up in the same household and have differing levels of patience and impulse control from a young age. Then, people tend to become less impulsive as they age through both biological and deliberate means.

The degree to which impulsiveness can be directly reduced is an interesting question. I think a big part of the human condition is a frustration with one's impulsivity, and I suspect that that's driving the surge in adult ADHD diagnoses in some countries.

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