← Back to Library

What "follow your dreams" misses

Grant Sanderson has a bone to pick with one of the most ubiquitous phrases in all of commencement speech history. He's not here to tell you to follow your dreams — and that's precisely what makes his address worth 15 minutes of a smart listener's attention.

The Orthogonal Subspace

Sanderson begins by acknowledging the conventional wisdom, then immediately pivots away from it. "Frankly on its own I don't think this is very good advice," he says, before adding that "there is truth behind the cliche." This is a carefully calibrated move — he's not attacking the inspirational industrial complex until he's already planted his flag inside it. The rhetorical structure is deliberate: acknowledge, then reframe.

What "follow your dreams" misses

The core of his argument is that following your dreams misses something critical. As Sanderson puts it, "Success hinges on how effectively you're able to add value to others." This reframes success from personal fulfillment — which is what the dream-following cliche implies — to collective contribution. The shift isn't semantic; it's foundational. He's arguing that the dreams worth following are ones that extend beyond yourself.

Sanderson then deploys a vivid metaphor about two music students: Paganini and Taylor. "In a music school Paganini is going to get the better grades every time," he writes, "but pursuing music careers Taylor is at the clear Advantage." The analogy is elegant — technical excellence and personal enjoyment don't automatically translate into what the world actually needs. This lands because it cuts against the grain of how most students have been taught to think about their passions.

Pursuing music careers Taylor is at the clear Advantage.

A critic might point out that this framing risks reducing passion to mere instrumentalization — treating love as a means rather than an end. But Sanderson anticipates this: he doesn't say don't follow your dreams; he says make sure those dreams are about something more than just yourself.

The Feedback Loop of Passion

The most psychologically acute part of the speech involves how passions actually form. Sanderson admits that his love of math "had its roots in the fact that when I was young, the adults emphasized this is an important topic to learn and they told me I was good at it." This is confessional — he's essentially saying his passion wasn't organic but constructed through reinforcement. The feedback loop he describes is both literal and metaphorical: spending time with something makes you better at it, which makes you enjoy it more, which makes you spend more time on it.

This matters because it undermines the idea of a pre-baked dream waiting to be discovered. "For those in the audience who don't know who I am," he says, "I focus on making videos about mathematics with an emphasis on visualizations — it's a weird job I do love though." The irony is that his dream job wasn't sitting there waiting for him; it emerged from doing value-add work that he initially stumbled into.

Sanderson's advice to treat passion as an "initial velocity vector" rather than a static target is the intellectual climax of the speech. "It gives a clear direction to point yourself and loving what you do can have you move quickly but you should expect and you should even hope that the specific direction that you're moving changes based on the force factors around you." This is beautifully phrased — it's not passion abandonment; it's passion evolution.

The Survivorship Bias Problem

The speech's most analytically sharp section addresses why following your dreams fails as blanket advice. Sanderson references an XKCD comic about a man standing on a stage with bags of cash while surrounded by people yelling "never stop buying lottery tickets" — the caption notes that every inspirational speech should come with a disclaimer about survivorship bias.

This is devastating because it exposes what motivational platitudes hide: the successful ones are visible, and the failures aren't. But Sanderson goes deeper. He argues there's "a more subtle way that survivorship applies here" — it's not just about odds of winning, but whether the game you choose to play meshes well with how the future unfolds. If you were a software enthusiast in the late 1980s, you'd ride the dot-com boom; if you were into film production when YouTube rose, you'd find unexpected opportunity.

The timing argument is where Sanderson's personal experience becomes most persuasive. He acknowledges luck — "if I had been born 10 years earlier... posting lessons on a much more infant version of the internet" wouldn't have worked; "if I had started 10 years later the space would have been a lot more saturated." This isn't fatalism; it's methodological honesty about how career paths actually work.

The Influence You Have

One section that readers likely won't encounter elsewhere addresses not just following your own dreams but shaping others'. Sanderson recalls visiting Harvey Mudd and speaking to mathematician Leave Williams, who told him her story: "she hadn't thought about it very much until one distinct day in her High School Calculus class her teacher Mr. Dorman pulled her aside and said... you're really good at this you should consider majoring in math." That one comment was enough to set off a chain reaction toward a flourishing career.

The implication is powerful: "Growing older is a process of slowly seeing the proportion of people around you who are younger than you are rise inexorably closer to 100% as this happens, you stand to have as much influence by shaping the dreams of those behind you as you do by following those of your own." This reframes the entire conversation from individual aspiration to collective responsibility.

Bottom Line

Sanderson's strongest move is his critique of survivorship bias — he's not just saying the advice is poorly calibrated; he's showing how it masks the actual mechanisms of success. His biggest vulnerability is that he leans heavily into personal anecdote, which works rhetorically but can read as self-justification rather than generalizable insight. The演讲's real value isn't in telling graduates to follow their passions — it's in forcing them to ask whether those passions serve anyone other than themselves.

Deep Dives

Explore these related deep dives:

Sources

What "follow your dreams" misses

by Grant Sanderson · · Watch video

last year Grant gave the math Department's Michael E Moody lecture on where math and physics Collide he explored unexpected connections between kinematics Optics and Quantum Computing our students loved his talk and the senior class voted overwhelmingly to ask him back as commencement speaker Grant has said that he seeks to educate and Inspire the world with Beauty and the power of mathematics he certainly has inspired many of us here at Harvey mud please join me in welcoming Grant Sanderson thank you president nard for that very warm introduction and for inviting me and thank you to the class of 2024 for including me in such a special day I had the joy of getting to know many of you last year on this visit and I distinctly remember coming away with the feeling that a future in your hands is a bright future indeed for those in the audience who don't know who I am I focus on making videos about mathematics with an emphasis on visualizations it's a weird job I do love it though and it's no exaggeration to describe it as a dream job and a common cliche is for someone who was lucky enough to land in a dream job to stand confidently in front of a group of fledgling graduates and to compel them to follow their dreams frankly on its own I don't think this is very good advice to be clear there is truth behind the cliche it is true that those who make the biggest ripples are the ones who are fueled by Passion it is true that the life that you live is much more enjoyable if you can find something doing what you love and it's also true that you shouldn't feel Shackled by societal constraints but for one thing not everyone has a pre-baked dream sitting there waiting to be followed that's completely okay and even if you are one of the lucky ones who has a passion that you want to roll in into a career I think there are a few pragmatic concerns that don't always fit very neatly into an inspirational speech that are required to make this actually work now I know I'm talking to a very nerdy audience so I'm tempted to describe my aims here a little bit more mathematically precisely where in the vector space of all possible advice ...