alt Hacker NewsMy favorite lens on this comes from Hamming:
> It is well known the drunken sailor whos taggers to the left or right n independent random steps will, on the average, end up about sqrt(n) steps from the origin. But if there is a pretty girl in one direction, then his steps will tend to go in that direction and he will go a distance proportional to n. In a lifetime of many, many independent choices, small and large, a career with a vision will get you a distance proportional to n, while no vision will get you only the distance sqrt(n). In a sense, the main difference between those who go far and those who do not is some people have a vision and others do not and therefore can only react to the current events as they happen.
Just a tiny bit of bias towards a direction will get you very far very fast.
I once modeled+visualised this with a bit of javascript[1] and it's quite surprising to see the huge difference from even a tiny multiplication factor on each random/probabilistic decision.
Replies
That's really nice, but the point where the vision is should move too. You learn as you progress. What you enjoy changes. The entire industry moves. Being focused on the goal you defined 30 years ago is almost certainly wrong for most people.
I don't think jus the raw distance (from here) is the metric to necessarily optimize for. It may be more useful to throughly search the nearby area, for example - especially if you feel you're in a good neighborhood already.
This is a lovely mental model and also makes me feel a host of existential dread. I had a semblance of vision before gen AI and I think that vision needs serious revision
It is not something I share very often, because people assume a lot when I do, but von Braun[1] shared a similar idea. Ignoring for a moment his past, one cannot say that he had no achievements further supporting position noted by OP.
Great point, and great blog post (as usual).
PS Tangent - FYI there's a typo "Minset" should be "Mindset" in the reference to your book. HTH
It's a lovely metaphor, but I find myself at odds with the logic. What you sacrifice with vision I think is flexibility to respond to serendipity.
I have generally had strong vision in my career but this year due to external forces at play at work I have been much more reactive to the chaos and generally felt off the whole year, this was a nice mental model to step through, liked the visualization.
I also really treasure that quote. Your visualization really made it hit home again though.
It does make me reflect on this piece I wrote 9(!!) years ago though, which hasn't completely materialized. I think I'm due for a re-alignment of priorities.
I think the beauty of this quote is working more than its content.
Most people, even when they do not sit down and think about it, follow one of the two career paths:
- Some people will actively pursue the next logical progression (senior, lead/manager, head/vp, exec).
- Some will happily stay in their position unless the next one is offered to them.
Being deliberate will always work better compared to being random, but it is not like all people who succeed in their careers deliberately planned to get where they are.
I would even guess that for the vast majority of successful careers, competency and luck played a much bigger role than being deliberate about it.
Wait, are you saying that for a symmetrical random walk, the expected distance is of the order of sqrt(n), but even for a slightly biased random walk (like 0.5000001 chance to take right) it's of the order of n?
Edit: well of course it is. I was thinking expected position (which should be 0) not distance
Premature optimization would like a word.
That's basically diffusion versus drift.
But I think it is the wrong view, as generally people do move into the direction they want to go. Take a person doing plumbing but wanting to be in art. The problem is not the direction, the problem is taking the first step.
In general, many people dislike changing jobs, so they don't take steps. The steps are the problem, not the direction.
The vision doesn't have to be accurate, it just has to be directional
Ok but how do you know that the pretty girl isn't a succubus?
Hamming was also writing from a highly privileged position. He was able to work at Bell Labs for the majority of his career. That just doesn’t exist today.
The Art of Doing Science and Engineering is a great book but it needs context. The last edition was released in 1994. Programmers had a lot of labour power back then.
Today though? The median house costs more than a third of the median income. Inflation has raised costs of living to unsustainable levels. And for programmers there have been hundreds of thousands of layoffs since 2023 and a low number of job openings.
I don’t think it’s unreasonable to take what job you can get or stay in a job you don’t care for until the trade winds return.