31 Hamming, Learning to Learn: You and Your Research, 6 June 1995
Hamming on Hamming: Learning to Learn
AI-assisted summary of 31 Hamming, Learning to Learn: You and Your Research, 6 June 1995 — original source. Check the original for full context.
Source published:
Key ideas
- Achieving major breakthroughs relies on working on the right problem at the right time in the right way, rather than raw IQ or blind chance alone. (28:03)
- Richard Hamming institutionalized a dedicated Friday afternoon routine, allocating roughly 10% of his working time exclusively to broad, strategic 'Great Thoughts' to prevent drifting across low-value assignments. (28:45)
- A problem is not defined as scientifically important merely by massive consequences (such as anti-gravity or time travel); it only becomes important to work on when a viable line of attack exists. (32:13)
- Research autonomy is not granted up front; workers must first demonstrate high competence and tangible results before organizations grant them the freedom to pursue self-directed work. (39:18)
Detailed notes
## Background This lecture was published on YouTube by the channel 'Hamming on Hamming: Learning to Learn' on March 4, 2018. It presents Richard Hamming delivering his renowned talk, 'You and Your Research' (also applicable to engineering and general careers), recorded on June 6, 1995, at the Naval Postgraduate School as a capstone summary of the principles of doing significant work.
## TL;DR Drawing on decades of experience at Los Alamos and Bell Labs alongside scientific luminaries like Claude Shannon and John Tukey, Richard Hamming breaks down what separates first-class contributors from ordinary workers. He argues that monumental achievement does not depend on towering IQ or blind luck, but on relentless preparation, intellectual courage, and deliberately choosing problems that have a viable line of attack. To sustain impact, researchers must learn to invert obstacles into advantages, tolerate ambiguity, protect dedicated time for deep strategic thinking, and hone their communication style. Ultimately, Hamming asserts that doing truly worthwhile work requires earning one's autonomy and refusing to settle for a harmless, unexamined career.
## Atmosphere & style The presentation carries the electrifying, unvarnished intensity of a secular revivalist sermon delivered by a seasoned academic elder. Hamming speaks with blunt, pragmatic candor, freely confessing his past professional envy and challenging his audience with provocative, knife-twisting questions. The room feels charged with quiet urgency as he punctures intellectual vanity, blending humorous personal anecdotes with rigorous, no-excuses demands for personal greatness.
## Bulletin - [28:03](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1683s) Achieving major breakthroughs relies on working on the right problem at the right time in the right way, rather than raw IQ or blind chance alone. - [28:45](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1725s) Richard Hamming institutionalized a dedicated Friday afternoon routine, allocating roughly 10% of his working time exclusively to broad, strategic 'Great Thoughts' to prevent drifting across low-value assignments. - [32:13](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1933s) A problem is not defined as scientifically important merely by massive consequences (such as anti-gravity or time travel); it only becomes important to work on when a viable line of attack exists. - [39:18](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2358s) Research autonomy is not granted up front; workers must first demonstrate high competence and tangible results before organizations grant them the freedom to pursue self-directed work.
## Key takeaways - [00:00](https://www.youtube.com/watch?v=e3msMuwqp-o&t=0s) Early envy at Los Alamos drove Hamming to systematically study the core differences between first-class and second-class scientists. - [01:38](https://www.youtube.com/watch?v=e3msMuwqp-o&t=98s) The Matthew effect operates strongly in scientific research, where early renown compounds access to resources, elite facilities, and critical information. - [03:46](https://www.youtube.com/watch?v=e3msMuwqp-o&t=226s) Luck favors the prepared mind; major breakthroughs occur when consistent daily discipline positions a researcher to seize emerging ideas 'in the air.' - [06:08](https://www.youtube.com/watch?v=e3msMuwqp-o&t=368s) Greatness does not demand an extraordinary IQ; historical figures like Isaac Newton and Albert Einstein succeeded primarily through relentless, constant immersion in hard problems. - [07:47](https://www.youtube.com/watch?v=e3msMuwqp-o&t=467s) The success of Bill Pfann's zone melting technique proves that massive scientific breakthroughs can be realized by inarticulate or doubted researchers working on genuinely important problems with the right help. - [10:23](https://www.youtube.com/watch?v=e3msMuwqp-o&t=623s) Breakthrough work requires intellectual courage and self-confidence, such as Claude Shannon boldly averaging performance across random codes to establish information theory. - [12:30](https://www.youtube.com/watch?v=e3msMuwqp-o&t=750s) Researchers must consistently confront whether their current projects are important and likely to lead to important outcomes, as seen in the diverging career paths of Hamming's chemistry colleagues. - [15:14](https://www.youtube.com/watch?v=e3msMuwqp-o&t=914s) Celebrated researchers frequently fall into the 'Nobel Prize trap,' paralyzing themselves by believing they can only work on monumentally grand problems while becoming overwhelmed by administrative burdens. - [16:28](https://www.youtube.com/watch?v=e3msMuwqp-o&t=988s) Maintaining a clear overarching vision scales career progress linearly, whereas unfocused, drifting effort results in minimal net displacement like an aimless drunken sailor. - [18:19](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1099s) Working behind closed doors provides short-term quiet but risks long-term irrelevance, whereas open doors incur constant interruptions but keep researchers connected to vital, evolving problems. - [21:50](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1310s) Resource constraints should be inverted into assets, such as letting the computer do its own programming when lacking the massive human coding teams used by aerospace competitors. - [24:52](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1492s) Researchers should actively study their own successes and those of historical giants rather than fixating on failures in order to build repeatable pathways to success. - [28:03](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1683s) Hard work alone is insufficient; true scientific impact requires identifying the right problem, addressing it at the right time, and executing it in the right way. - [31:05](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1865s) Great scientists cultivate a high tolerance for ambiguity, believing existing models enough to use them productively while remaining skeptical enough to detect flaws and spur conceptual revolutions. - [33:45](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2025s) Style and communication across oral, written, and informal levels are vital to ensure ideas are understood, accepted, and remembered rather than muddled and ignored. - [41:10](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2470s) High achievers consistently attest that the personal satisfaction and fulfillment of producing truly first-class work far surpasses life's ordinary pleasures. - [42:03](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2523s) Echoing Socrates' dictum that the unexamined life is not worth living, researchers must intentionally shape their careers to achieve work they genuinely value. - [43:06](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2586s) Having explicitly detailed the principles required to succeed, Hamming charges his students with having no excuse left for failing to surpass his own achievements.
## Detailed walkthrough ### [00:00](https://www.youtube.com/watch?v=e3msMuwqp-o&t=0s) Introduction: From "Janitor of Science" to Studying Greatness
Richard Hamming opens this final lecture of the course by explaining that he will miss the next two scheduled sessions because he has to travel to Los Alamos to deliver a talk at a symposium. Turning to the day’s subject, "You and Your Research," he notes that after giving this presentation on numerous occasions, post-talk discussions have repeatedly shown that the title could just as easily be "You and Your Engineering Career" or simply "You and Your Career." Although his observations draw primarily from research because that was the domain he systematically examined, he emphasizes that the underlying principles govern success across a wide range of disciplines.
Hamming grounds his inquiry in his own background, recalling his time working on computers at Los Alamos during the Manhattan Project. There, he came to the stark realization that he was merely a "janitor of science"—one of the support personnel entrusted to perform basic operational tasks and keep the machinery running, yet excluded from major scientific decisions and possessing opinions that carried little weight. Facing his feelings candidly, Hamming admitted his jealousy toward the elite contributors around him. As Richard Hamming bluntly puts it: “And to put it bluntly and unpleasantly, I was envious.” That professional envy drove him to launch a deliberate study, which he continued after joining Bell Telephone Laboratories, to uncover the precise differences separating first-class scientists from second-class contributors.
[01:38](https://www.youtube.com/watch?v=e3msMuwqp-o&t=98s) The Matthew Effect and Leading a Significant Life
To illustrate how scientific recognition compounds, Hamming introduces the sociological concept known as the Matthew effect, drawn from the biblical Gospel of Matthew. In simple terms, the principle states that those who already possess advantages receive more, while those who lack them lose even what little they have. Hamming observes that this dynamic operates ruthlessly in the scientific community: once an investigator gains modest renown, doors immediately swing open. When Hamming himself became moderately prominent, IBM and other major organizations began inviting him to tour their research laboratories and production facilities, which granted him far greater access to cutting-edge technical information than ordinary researchers could ever obtain. Because lesser-known scientists constantly risk having their contributions overlooked or absorbed by others, doing standout work is vital.
Hamming stresses that the stakes of this pursuit are deeply personal, arguing that everyone has only a single lifetime to spend and should strive to do something genuinely worthwhile rather than settling for mere harmlessness. Looking back at the end of a career and concluding only that one did no damage is, in his view, completely unsatisfactory. He acknowledges that his examples draw heavily on his own career because personal stories carry visceral force. As Richard Hamming tells his audience: “My purpose is to stick a knife in your back and give it a good twist and make you say at the back end well if Hamming could do it why couldn't I?” By highlighting his own achievements alongside his ordinary human limitations, he intends to convince students that they are entirely capable of matching or surpassing his record.
- **The Matthew Effect**: Drawn from the Gospel of Matthew ("unto everyone that hath shall be given..."), explaining how visibility and resources snowball for established researchers. - **Access to Information**: Prominence brought Hamming private invitations to inspect proprietary facilities and assembly lines at firms like IBM, compounding his professional edge. - **Defining Significance**: Hamming challenges researchers to set their own criteria for what is significant and to pursue it actively instead of merely drifting through a safe career.
[03:46](https://www.youtube.com/watch?v=e3msMuwqp-o&t=226s) The Role of Luck and the Prepared Mind
Addressing common psychological excuses, Hamming tackles the claim that scientific fame and discovery are simply matters of blind luck. While he regularly quotes Louis Pasteur's famous adage that luck favors the prepared mind, he argues that the role of chance is deeply misunderstood. Recalling his encounter with Richard Feynman at Los Alamos—where Feynman was running computing operations until Hamming arrived to relieve him so he could return to physics—Hamming knew immediately that Feynman was destined for a Nobel Prize because his raw energy, drive, and capability made greatness inevitable.
Hamming concedes that external fortune must intersect with a prepared individual, but stresses that day-to-day discipline determines whether a person can seize the moment. Early in his tenure at Bell Labs, Hamming shared a large attic office with Claude Shannon and Miss Sally Mead. Shannon went on to invent information theory, while Hamming developed error-correcting codes. Hamming points out that while the ideas were "in the air" and many colleagues worked in the same building, only prepared minds transformed those opportunities into groundbreaking foundations. Shannon had already demonstrated this capability in his master's thesis by applying Boolean algebra to telephone switching circuits, just as Albert Einstein had demonstrated it by publishing five monumental papers in 1905. As Richard Hamming summarizes the reality of serendipity: “You prepare yourself the way you lead from day to day... You prepare yourself for success or you don't. And when the lightning strikes, you're either ready or you're not.”
```mermaid flowchart TD accTitle: Luck and the Prepared Mind accDescr: A cyclical feedback loop showing how day-to-day preparation enables researchers to capitalize on unexpected opportunities.
subgraph Prep ["Preparation Phase"] A["Daily Discipline & Hard Work"] --> B["Broad Knowledge & Fundamental Skills"] end
subgraph Chance ["Opportunity"] C["Chance Event / Problem 'In the Air'"] end
subgraph Outcome ["Impact"] B --> D{"Is Mind Prepared?"} C --> D D -->|"Yes"| E["Major Discovery (Shannon, Hamming)"] D -->|"No"| F["Opportunity Missed"] E --> G["Compounded Access & Renown"] G --> A end ```
[06:08](https://www.youtube.com/watch?v=e3msMuwqp-o&t=368s) Relentless Hard Work and the Myth of Raw IQ
Turning from luck to effort, Hamming emphasizes that relentless labor is the true engine of achievement. He recalls Sir Isaac Newton's observation that if others thought as hard as he did, they would obtain comparable results, as well as Thomas Edison's remark that genius is ninety-nine percent perspiration and one percent inspiration. Hamming saw this firsthand among the scientific leaders at Los Alamos: even on Sunday leisure hikes through the mountains behind the laboratory, they never truly stopped talking shop or thinking through problems. Constant immersion in difficult questions separates exceptional contributors from average workers.
Hamming also challenges the common belief that greatness requires an astronomical IQ or an early display of precocious genius. Newton displayed little remarkable talent until arriving at Cambridge, knowing little mathematics beyond basic arithmetic at the time. Similarly, Einstein could not secure an academic post after finishing his doctoral degree, spending seven years as an examiner in the Swiss patent office before gaining mainstream institutional recognition. Hamming argues that while measured intelligence is helpful, standard IQ metrics do not determine ultimate scientific impact. As Richard Hamming observes: “The very able people work very hard all the time.”
[07:47](https://www.youtube.com/watch?v=e3msMuwqp-o&t=467s) The Story of Bill Pfann and Zone Melting
To demonstrate that profound contributions do not require towering genius or polished polish, Hamming recounts his collaboration with Bell Labs metallurgist William G. "Bill" Pfann. Pfann came to Hamming's office with the concept of zone melting, a technique where an induction heating coil moves slowly along a metal ingot, creating a narrow molten zone that sweeps impurities toward one end. While Pfann possessed the core concept and a few basic equations, he lacked mathematical sophistication and needed computing power to calculate the cumulative effects of hundreds of successive passes.
```mermaid flowchart LR accTitle: The Zone Melting Process accDescr: Diagram illustrating an induction heating coil traversing an ingot to sweep impurities to the ends.
subgraph Process ["Zone Refining Mechanism"] direction LR A["Solid Metal Ingot"] --> B["Molten Zone (Induction Coil)"] B -->|"Slow Sweep Down Ingot"| C["Redistributed Impurities"] end
subgraph Result ["Operational Impact"] direction TB C --> D["Pure Germanium Core"] C --> E["Controlled Dopant Density"] end ```
When Hamming checked with Pfann’s departmental colleagues, they dismissed Pfann and held a low opinion of his abilities. Having resolved to work only on important problems with people doing important work, Hamming faced a dilemma. He reflected on the maxim that a prophet is without honor in his own country, noting that local peers are often the last to recognize great work. Hamming decided to back him, teaching Pfann how to program the computers and giving him machine time to resolve the complex numerical end effects across a thousand simulated passes. Zone melting became an enormous breakthrough, giving Bell Labs the ability to produce ultra-pure germanium with precisely controlled impurity densities for semiconductor manufacturing. Pfann went on to win prestigious awards, had his laboratory recognized as a national treasure, and transformed from a hesitant, inarticulate worker into an articulate, confident authority. Reflecting on his decision to trust Pfann's concept despite the skepticism of others, Richard Hamming remarks: “So I was right that time. I guessed the man has something important. I worked with him and I was part of something that was important.”
- **The Zone Melting Technique**: An induction coil creates a traveling melted zone; impurities either remain in the liquid or are pushed out, concentrating at the ends after repeated passes. - **Computational Necessity**: Simulating hundreds or thousands of passes required machine calculation because recursive end effects could not be solved in closed form with simple calculus. - **Professional Metamorphosis**: Through this single breakthrough idea, Pfann overcame severe self-doubt, gained command of his subject, and earned widespread international acclaim.
[10:23](https://www.youtube.com/watch?v=e3msMuwqp-o&t=623s) Self-Confidence and the Courage to Do Great Work
Hamming identifies self-confidence as the single most critical psychological attribute of researchers who accomplish great things: they harbor an unshakable conviction that they are capable of doing significant work. Without this baseline belief, an individual will almost certainly never take the risks necessary to achieve a breakthrough. While he cautions against unchecked arrogance, he argues that ambitious work demands tremendous intellectual courage.
To illustrate such intellectual bravery, Hamming returns to Claude Shannon's formulation of information theory. When Shannon found himself unable to construct specific, optimal error-correcting codes mathematically, he devised an audacious workaround: he averaged performance over the entire ensemble of all possible random codes and proved that the mathematical average itself was arbitrarily good. Because the collective average was good, Shannon deduced that at least one superior code had to exist, entirely bypassing the need to construct it explicitly. Pointing to this bold leap of imagination, Richard Hamming asks: “Who but a man with almost infinite courage would do that?” Believing in one's capacity to solve seemingly insurmountable problems is the essential prerequisite for breakthrough science.
[11:21](https://www.youtube.com/watch?v=e3msMuwqp-o&t=681s) Shannon’s Chess Style: "I Ain't Scared Nothing"
Hamming recalls Claude Shannon's unusual schedule and presence around Bell Labs. Shannon would often show up around 10:00 in the morning, play chess until roughly 2:00 in the afternoon, and then go home. To outside observers, it appeared that playing chess was virtually all he was doing, yet at the end of the year the company consistently rewarded him with a salary raise. Behind closed doors at home, Shannon was quietly inventing information theory. His demeanor on the chessboard mirrored his bold, uncompromising intellectual style. In chess, whenever an opponent attacks, a player can choose either to mount a defense or counterattack. Shannon never defended himself; he consistently attacked right back.
This counter-attacking style would steadily escalate the tension, making the board positions tangled, volatile, and increasingly complex. Shannon would sit and ponder the convoluted mess for a long time, suddenly grab his queen, thrust it forward, and declare, "I ain't scared of nothing." In that single move, he precipitated every pending clash on the board, causing the entire game to collapse instantly into either total victory or total defeat. Hamming took this brazen phrase to heart and turned it into a deliberate psychological tool. Whenever he found himself paralyzed by an intractable problem and had no idea how to proceed, he would tell himself that what was good enough for Shannon was good enough for Hamming, mutter "I ain't scared nothing," and plunge headlong into the unknown to see what happened. By intentionally copying Shannon's aggressive willingness to force a crisis, Hamming broke through intellectual logjams and reached unexpected success.
> “I've used this several times on myself.” — Richard Hamming
---
[12:30](https://www.youtube.com/watch?v=e3msMuwqp-o&t=750s) Lunch Tables at Bell Labs: The Physicists and the Chemists
Driven by an urge to make something significant of his career, Hamming looked critically at how he spent his lunch hours. The mathematicians in his own department spent lunchtime playing games—throwing boomerangs, flying kites, and generally fiddling around. Hamming realized he could not afford to waste his time like that if he wanted to succeed. Seeking serious company, he moved over to the physicists' table, having previously co-authored a paper with one of their top researchers. The physicists welcomed him into a circle of extraordinary minds, including John Bardeen, William Shockley, and Walter Brattain—the inventors of the transistor who would soon win the Nobel Prize—along with J. B. Johnson, discoverer of Johnson noise. Hamming spent years eating lunch with this group, carefully studying Shockley’s methods, absorbing practical tricks, and learning how first-rate minds approached problems sensibly.
Eventually, that golden era dissolved. The Nobel Prize was awarded, promotions followed, and lucrative job offers lured the most capable researchers away to other institutions. Hamming felt that what remained at the physics table was merely the dregs and hardly worth eating with anymore. Looking across the dining room, he noticed a large table occupied by the chemists. Because he had previously written a paper on nuclear magnetic resonance with one of them, he asked to join their circle. For months, they gathered and discussed chemistry and related technical topics, until one day Hamming decided to confront the group directly. He posed a blunt, unsettling question:
> “If what you're working on is not important and it's not likely to lead to important things, why are you working on it?” — Richard Hamming
Following that confrontation, Hamming found himself unwelcome at the table and ended up having to eat lunch with the engineers.
---
[14:18](https://www.youtube.com/watch?v=e3msMuwqp-o&t=858s) The Impact of Asking the Important Question
The jarring question Hamming dropped on the chemists seemed at first to have produced nothing but social awkwardness, but months later its true effect surfaced. That fall, while walking down a long corridor at Bell Labs, Hamming was stopped by Dave, the chemist with whom he had previously collaborated. Dave admitted that Hamming’s remark had gotten completely underneath his skin. He had spent the entire summer stepping back to evaluate the truly important problems in the field of chemistry. Though he had not completely overhauled his specific research projects right away, Dave felt the summer spent re-evaluating his priorities was profoundly worthwhile. Hamming thanked him and went on his way.
Within two weeks of that conversation, Dave was appointed head of the department. A decade or so later, Hamming noticed that Dave had been elected to the National Academy of Engineering. In stark contrast, Hamming never heard another word about any of the other individuals who sat around that chemistry table. The difference between lasting impact and obscurity came down to the ability to hear and act upon a single fundamental challenge:
> “The one man who could hear if what you're doing is not important, not likely important, why are you doing it? The one man who could did become important.” — Richard Hamming
- **Dave's Trajectory**: Spent a summer re-evaluating core problems in his field, was promoted to department head two weeks after speaking with Hamming, and later earned election to the National Academy of Engineering. - **The Remaining Chemists**: None of the colleagues who ignored the question ever achieved notable public or institutional distinction in their careers.
---
[15:14](https://www.youtube.com/watch?v=e3msMuwqp-o&t=914s) Working on Important Problems and the Nobel Prize Trap
Hamming stresses that unless a researcher deliberately works on important problems, they cannot expect to achieve important results, except through sheer, blind luck. However, pursuing important work comes with a dangerous psychological trap that frequently ensnares Nobel laureates and other celebrated thinkers, including Claude Shannon. Once people win a Nobel Prize or achieve comparable fame, they begin to believe they are permitted to work *only* on earth-shattering, monumental problems. This mindset paralyzes them, preventing them from producing any meaningful work at all. Real breakthroughs do not appear out of thin air; researchers must plant modest little acorns that can gradually develop into mighty oak trees. The real challenge is learning to recognize and nurture small problems that possess the potential to grow into profound developments.
Beyond the mental paralysis of grandeur, institutional success actively sabotages elite researchers in mundane administrative ways. As soon as individuals attain worldwide renown, they are inundated with prestige and loaded down with responsibilities. Organizations appoint them to numerous high-level committees, burden them with administrative duties, and elevate them into managerial promotions that swallow their available hours. Between self-imposed pressure to deliver only masterpieces and the endless distractions of fame, many Nobel Prize winners accomplish remarkably little of substance for the remainder of their careers.
> “What you have to work on are problems which can become important and matter, which have a future, which will grow into mighty oak trees.” — Richard Hamming
---
[16:28](https://www.youtube.com/watch?v=e3msMuwqp-o&t=988s) Confidence, Vision, and the Drunken Sailor
Self-confidence is essential for tackling difficult scientific questions, yet Hamming cautions that overconfidence leads directly to ruin. Just as there is a razor-thin boundary between being strong-willed and being stubborn, there is an equally perilous line separating healthy self-belief from arrogance. Throughout his career, Hamming witnessed researchers stumble on both sides of this divide: some abandoned brilliant concepts far too quickly out of self-doubt, while others clung obstinately to flawed notions long after they should have moved on. To maintain an internal compass without succumbing to stubbornness, a researcher can anchor themselves to an unwavering commitment to excellence. While Hamming disagrees with his father’s sweeping rule that anything worth doing is worth doing well—noting that trivial bureaucratic paperwork should simply be signed and gotten out of the way rather than executed with calligraphic beauty—he insists that when it comes to substantive work, one should always aim for a first-class effort.
To illustrate how having an overarching aim shapes a career, Hamming contrasts two types of random walks:
```mermaid flowchart LR accTitle: The Drunken Sailor Random Walk accDescr: Diagram contrasting an aimless random walk resulting in square root of N distance with a guided random walk toward a goal resulting in distance proportional to N.
subgraph Aimless ["Unfocused Effort"] A["Step Left"] --> B["Step Right"] B --> C["Step Back"] C --> D["Distance: √N"] end
subgraph Vision ["Effort with a Vision"] E["Step toward Vision"] --> F["Stagger but Realign"] F --> G["Advance toward Vision"] G --> H["Distance: ~ N"] end ```
A drunken sailor who staggers aimlessly—two steps one direction, two steps another—will, after $N$ steps, have traversed a net distance proportional only to $\sqrt{N}$. But if that same drunken sailor catches sight of an attractive girl across the street, his stumbles remain erratic, yet they continually orient in a definite direction; as a consequence, his progress scales linearly, achieving a distance proportional to $N$. Without a clear vision of what one wants to achieve and where one wishes to end up, tremendous energy is expended with negligible displacement.
> “When you have a vision you will go a long way; without a vision of what you're going to do and where you're going to be, you're not going to get very far.” — Richard Hamming
---
[18:19](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1099s) Working Conditions: Open Doors and the Institute for Advanced Study
Common assumptions about what constitutes an ideal working environment are fundamentally flawed. Many researchers assume that absolute isolation and freedom from interruptions are the keys to productivity. Hamming examined the long-term careers of staff members at Bell Labs who kept their office doors closed versus those who left them wide open. Closing the door indeed blocks out distractions and allows a researcher to plow through daily tasks uninterrupted. However, Hamming observed that ten years down the road, those who worked behind closed doors—regardless of their intellect or how hard they worked—frequently lost touch with reality and spent their energy pursuing the wrong problems. Conversely, those who kept their doors open suffered constant interruptions and impromptu chats, but they stayed plugged into the broader flow of vital ideas and understood what problems were genuinely important. While Hamming could not definitively prove whether the open door fostered an open mind or vice versa, the correlation between an open door and sustained scientific relevance was striking.
Hamming points to the Institute for Advanced Study at Princeton as the ultimate institutional failure born of idealizing isolation. The Institute takes brilliant scholars who have already achieved world-class breakthroughs and provides them with absolute luxury: exquisite offices, idyllic grounds, fine dining, a secure salary, and lifetime freedom from all duties, teaching, or administrative anxieties. Far from sparking new revolutions, this sheltering environment tends to sterilize them. Most fellows spend the rest of their lives refining and elaborating upon the very ideas that initially made them famous, contributing little else of comparable significance. John von Neumann was one of the few prominent exceptions because he refused to isolate himself; he traveled incessantly, frequented Washington, and continually exposed his thinking to practical challenges. Aside from rare figures like von Neumann, the comfortable detachment of the Institute largely removed talented thinkers from the creative friction that generates great work.
> “They're very able people, but the Institute, in my opinion, sterilized them to a great extent.” — Richard Hamming
- **Closed Doors**: Shields the worker from noise, but gradually disconnects them from community context, leading gifted individuals to dedicate years to irrelevant tasks. - **Open Doors**: Incurs daily inefficiencies and interruptions, but keeps the researcher aligned with real, evolving priorities. - **Institute for Advanced Study Fellowship**: Intended as a scholar's paradise, it often functions as an intellectual dead end by severing researchers from outside friction and real-world necessity.
---
[20:34](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1234s) Confronting Constraints: The IBM 701 and the "Acre of Programmers"
Hamming illustrates how environmental limitations can be turned into an advantage by recounting Bell Labs' adoption of the IBM 701 computer. In those early days, programming had to be done in absolute binary code. Across the country, several competing IBM 701 installations were operated by massive West Coast aerospace and airframe corporations. The airframe manufacturers solved the grueling problem of binary coding by throwing immense clerical labor at the machines: they would hire what Hamming describes as an "acre of girls" to sit in vast rooms and churn out binary instructions by hand.
Hamming realized immediately that Bell Laboratories would never authorize an entire roomful of coders just to feed a computer. He faced a critical crossroads. He desperately wanted to stay on the cutting edge of the emerging computing revolution, yet he could not match the brute manpower deployed by his well-funded competitors. He weighed the option of quitting Bell Labs to take a position at one of the West Coast aviation companies, where he was well enough known that finding a job would be straightforward. However, the intellectual climate held him back: the aerospace firms had a few brilliant minds scattered thinly across large operations, whereas Bell Labs maintained an extraordinary density of first-rate thinkers. Because Hamming's fundamental goal was to study how great minds worked in order to become great himself, Bell Labs was the superior laboratory for human excellence. Faced with this disparity in manpower, Hamming sat and thought deeply until he came up with a counter-strategy.
> “Remember, I'm out trying to learn how to be great, so I'm studying great people.” — Richard Hamming
[21:50](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1310s) Inverting Defects into Assets and Redefining the Real Problem
Hamming recounts how recognizing the nature of computing allowed him to turn an apparent liability into a major breakthrough. He realized early on that a digital computer can theoretically do anything, which provoked an obvious question: why not make the machine do the programming itself? By asking that, he found himself thrust directly to the frontier of automatic programming. As Hamming notes, Grace Hopper repeatedly shared similar stories of finding that what initially appears to be an obstacle or defect can be flipped into an asset. Turning the problem around transforms a lack of resources into great success.
```mermaid flowchart TD accTitle: Inverting Problems and Redefining Success accDescr: Flow showing how apparent defects or ugly solutions are converted into career breakthroughs. subgraph S1["Inverting a Defect"] D["Apparent Defect / Lack of Resources"] -->|"Invert perspective"| A["Major Asset / New Frontier"] end subgraph S2["Redefining the Problem"] P["Apparent Goal: Calculate Trajectory"] --> R["Deeper Goal: Digital Beats Analog"] R --> H["Hamming's Integration Method"] end ```
He illustrates this principle with his work on a 28th-order differential equation system for a Navy interceptor airplane. An analog computing facility outside of Philadelphia had failed to solve it because analog machines lacked the required accuracy. Hamming solved it on a digital computer using an ad-hoc, patched-up variation of Milne's predictor-corrector method, which he knew was mathematically unstable and aesthetically crummy. He realized that because government contracts mandate formal reports, every defender of analog computing would scour his paper for flaws to discredit the breakthrough. The actual contest was not just calculating numbers, but demonstrating that digital computers could defeat analog systems on their own traditional domain of differential equations. To make his results unassailable, Hamming derived a brand-new, stable numerical integration technique—subsequently known as Hamming's method—and had his programmer update the code to confirm the answers matched.
“Both of them were equally effective but one was defensible and one was not.”
- **Key insight:** Success often stems from inverting a limitation or looking past the surface assignment to recognize the underlying real problem. - **Hamming's method:** Although Hamming no longer recommends it for modern hardware, deriving a clean, defensible algorithm was essential for legitimizing digital computation over analog machinery.
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[24:52](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1492s) Studying Successes Rather Than Failures
Ideal operating conditions are rarely handed to a researcher; success requires altering the conditions by either inverting the problem or recognizing its true essence. Hamming recalls solving an early computational problem that produced valuable breakthroughs for solid-state physics and transistor research. Rather than simply moving on, he spent hours meditating on why that project had gone so well.
Hamming argues forcefully against the popular advice of analyzing one's mistakes: “I believe this statement you should study your successes you don't study your failures study successes because when your time comes you'll know how to succeed if you study failures you'll know how to fail.” He advises researchers to dissect their own triumphs as well as the lives of historical giants such as Galileo and Isaac Newton. The goal is to isolate the concrete elements that produced those triumphs and adopt the specific practices that match one's personal style and strengths.
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[26:08](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1568s) The John Tukey Encounter and Reorganizing Daily Life
Hamming shares a story about discovering that his colleague, statistician John Tukey, was his exact same age yet operated on an astonishing intellectual level. Perplexed, Hamming approached their mutual boss, Hendrik Bode, asking how anyone his age could know so much. Bode tilted back in his chair with a grin and gave a blunt reply: “Hamming, you'd be surprised how much you'd know if you worked as hard as he did.”
Stunned, Hamming slunk out of the office. He recognized that while he did not possess Tukey's immense psychic energy, he was certainly not working as hard as he could. He decided to strip away low-value distractions: - Stopped wasting hours thumbing through newspapers and reading magazines like *The New Yorker* (joking that his wife pointed out he only read it for the cartoons anyway). - Voluntarily took on the role of a book review editor, ensuring a steady stream of the latest computer science books remained on his coffee table waiting to be digested. - Imposed a personal rule: after drafting a book review, he let it sit for a week, re-read it critically, and if it failed to capture the book's core, re-read the volume and wrote it again.
Hamming emphasizes that high achievement does not belong exclusively to first-class geniuses; disciplined individuals can reallocate their attention to master an entire discipline.
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[28:03](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1683s) The Right Problem at the Right Time in the Right Way
Hamming cautions that raw labor alone does not guarantee achievement: “The race is not to the swiftest. The guy who works hardest doesn't win. The person who works on the right problem at the right time in the right way is what counts and nothing else.” The central objective of his lectures is instilling the scientific taste required to recognize when an important problem is ripe for a solution and how to tackle it cleanly. Because thousands of intellectual races are being run at any given moment, a researcher only needs to spot one timely opening, enter it, and finish first.
```mermaid flowchart LR accTitle: The Triangle of True Impact accDescr: Three intersecting conditions required for significant scientific accomplishment. A["Right Problem"] --- B["Right Time"] B --- C["Right Way"] C --- A ```
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[28:45](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1725s) Friday Afternoon "Great Thoughts"
To keep from drifting like a "drunken sailor" across disconnected assignments, Hamming institutionalized a dedicated weekly habit. He set aside every Friday afternoon—roughly 10% of his working time—exclusively for what he and his colleagues dubbed "Great Thoughts." During these hours, he answered necessary calls or signed administrative forms, but kept his mind focused on broad, strategic questions: - What is the long-term impact of computing on science? - How is digital computation going to transform AT&T? - What is the true nature of software, and what should Bell Labs be doing about it? - What are the truly fundamental problems in my field?
Hamming strongly warns against scheduling this deep reflection on a Monday morning, because urgent crises and 10:00 AM meetings will instantly shatter contemplation. Friday afternoon is uniquely suited because unresolved ideas linger into Saturday and Sunday, letting the subconscious work through them over the weekend. He stresses that focusing on fundamentals—principles upon which other concepts depend—allows one to filter out fleeting trends while staying alert to genuinely new domains.
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[31:05](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1865s) Tolerance of Ambiguity: Believing and Disbelieving
It took Hamming 15 to 20 years of observing great scientists to uncover one of their rarest and most essential psychological attributes: the tolerance of ambiguity. Most people crave certainty, demanding that an idea be either completely true or completely false. In contrast, great researchers must simultaneously hold two opposing attitudes toward their paradigms:
“Great scientists believe the theory is true enough so they continue working because if you don't believe the theory is true, you won't. But they disbelieve enough to notice what's wrong and make the big change to the new theory.”
Unconditional belief produces incremental researchers who merely elaborate and extend existing models. Outright cynicism paralyzes action entirely. Greatness requires walking the razor's edge—trusting a model enough to exploit it, yet remaining sufficiently skeptical to spot contradictions, seize upon them, and make the next conceptual leap forward. Hamming admits that despite years of pondering the trait, he has not the faintest idea how one could structure a course to teach students ambiguity.
[32:13](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1933s) Tolerance of Ambiguity and What Makes a Problem Important
Hamming admits candidly that he has no clue how to teach someone to tolerate ambiguity: “So I don't know what to do. I really tell you that the tolerance of ambiguity, not being so certain everything is correct, is a necessary feature.” Most great scientists carry 10 to 20 important problems in their minds at any given time. When they stumble across a clue indicating how to attack one of them, they drop everything else, rush that problem, and finish it off first.
However, Hamming warns that people fundamentally misunderstand what constitutes an "important problem." Importance is not dictated solely by massive potential consequences. While Hamming was at Bell Labs, nobody worked on the three outstanding problems in physics: time travel, teleportation, and anti-gravity. Even though their economic consequences would be staggeringly large, they are not important scientific problems to work on because no one has an attack. A problem only becomes important when you have an idea of how to go about solving it.
```mermaid flowchart TD accTitle: What Constitutes an Important Problem accDescr: Diagram illustrating Hamming's criteria for working on an important problem versus an intractable one.
subgraph S1["Consequences Alone"] A["Huge Economic Consequence<br>(Time travel, Teleportation, Anti-gravity)"] B["No Viable Attack"] A --> B B --> C["Not an Important Problem to Work On"] end
subgraph S2["Consequences + Method"] D["Significant Problem"] E["Viable Line of Attack Found"] D --> E E --> F["Drop other work & solve immediately"] end ```
- Great scientists keep roughly 10 to 20 candidate problems quietly hanging around in their minds. - “The most important thing that makes a problem important is that there is an attack that you have an idea how I can go about that problem,” Hamming insists.
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[33:45](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2025s) Style, Communication, and Learning from Others
Borrowing the line from the well-known song, Hamming emphasizes: “It ain ain't what you do, it's the way that you do it.” It is style—inverting the problem, transforming it, and rendering it clear—that makes all the difference. Henri Poincaré and several other physicists had developed all the mathematics for special relativity and had even given talks on it, yet only Albert Einstein is remembered for it because the others had the subject muddled up, whereas Einstein formulated it cleanly and straightforwardly. When work is first done, it is almost always messy; an essential task of the researcher is lying in bed working through how to communicate it clearly so that someone else will understand it without confusion.
This directly ties into the three distinct levels of communication: oral presentations, formal written reports, and casual or impromptu exchanges. Hamming points out that during a conference meeting, one must be capable of standing up on the spot and stating crisp objections—“Bing bing bing bing and you win”—because waiting to write a memo the next day means the decision will already be made and the opportunity lost.
To improve, reading books is useless; one must actively study the style of every talk attended. Hamming notes that after-dinner speeches typically require three jokes: one at the start to break the ice, one in the middle to keep the audience awake, and one at the end so they remember something. When trying to incorporate humor, Hamming discovered he was terrible at telling long shaggy dog stories, but excelled at one-liners, forcing him to adapt his speaking repertoire to his own natural strengths:
- Analyze every lecture: evaluate not just the technical content, but why the presentation style was effective or ineffective, and determine which techniques can be adapted. - Learn to critique others' talks to build a solid critical framework for evaluating one's own presentations. - Cross-check impressions with friends to see whether subjective standards of an effective talk align.
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[37:13](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2233s) Making the Best of Resources and Embracing Change
Invoking the adage that “it's a poor workman who blames his tools,” Hamming outlines his personal philosophy: do the best possible work with whatever is at hand. At the Naval Postgraduate School, that means accepting bureaucratic faults from Washington, unusual student schedules, and the intimidating presence of television cameras that inhibit students from shouting, "Hamming, I think you're crazy." Rather than blaming the system or giving up, one must simply deliver the best lectures possible under the given constraints.
Turning to institutional progress, Hamming stresses the necessity of change: “Change does not mean progress, but progress requires change.” Because individuals and organizations naturally resist disruption and cling to familiar routines, one must intentionally embrace change even when uncomfortable. At Bell Labs, Hamming operated by a strict personal rule: if a department had been doing something the same way for 10 years, it was time to change methods simply to see if a superior way existed. Although fellow departments intensely disliked his rule, Hamming insists that sticking in the same comfortable rut guarantees that better methods will never be discovered.
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[39:18](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2358s) Putting Hooks on Ideas and Earning Your Freedom
Recalling his longtime collaborator John Tukey, Hamming explains how Tukey possessed an extraordinary ability to dredge up obscure pieces of relevant knowledge at will. To replicate that skill, Hamming began deliberately turning every new fact or piece of information around in his head repeatedly, connecting it to numerous existing concepts so that it had "hooks" that would trigger recall in diverse situations.
Hamming then addresses the common complaint that researchers lack the freedom to pursue whatever they want. In the beginning, nobody has freedom; an organization hires a specialist just as a homeowner hires a plumber—expecting someone already trained and competent to perform the required duties:
> “You have to demonstrate your ability first and then you'll have the freedom to do it.”
Hamming recounts a story from his time at the University of Nebraska, where an instructor asked the department head for a reduced teaching load so he could do research. The department head bluntly answered: “When you've done the research I'll relieve you of the teaching.” Hamming had to develop error-correcting codes at home on his own time. Only after he demonstrated significant accomplishments did Bell Labs management leave him entirely alone, knowing his internal compulsive drive and conscience would keep him worrying about doing the right job far better than oversight could.
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[41:10](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2470s) Is the Effort to Do Great Work Worth It?
Hamming confronts the final question: is the grueling effort to become a great person actually worth it? Defining greatness entirely by what the individual student values rather than his own personal standard, Hamming asserts that it is. While he admitted he was afraid to question those who attempted great work and failed, he did ask those who succeeded and achieved fame whether the sacrifice was worthwhile:
> “And they said, 'Yep, it's better than wine, women, and song put together.'”
Though he jokingly adds that he did not ask any women—who might have answered "wine, men, and song"—the consensus among high achievers was absolute: doing truly first-class work and knowing within oneself that you have done it surpasses every other pleasure in life.
[42:03](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2523s) The Unexamined Life and Choosing Your Impact
Richard Hamming invokes Socrates, who lived from roughly 470 to 399 BC in ancient Greece, recalling his famous maxim that the unexamined life is not worth living. Hamming reminisces about the first time he ever encountered that phrase: he was walking across the campus at Yale, trailing behind a professor and an undergraduate student. As they walked across the quad, the professor turned to the student and repeated the phrase three separate times before they reached the other side. That insistence left a permanent mark on Hamming, who urges his listeners to apply the same rigorous self-examination to their own careers. Since you are granted only one life to live as far as anyone knows, he challenges his audience to make it the life they actually want, rather than passively settling for whatever random circumstances happen to drift their way.
He asks the room to picture the far end of their careers and consider what kind of legacy they wish to look back upon in old age. One path is simply reaching the end and saying that you managed not to do any harm and had a reasonably pleasant, enjoyable time. But Hamming questions whether that is genuinely satisfying, contrasting it with the far deeper fulfillment of being able to say that you did something truly significant. As Richard Hamming puts it directly to his students: “Or do you want to say, you know, I did something that was important, at least something that I thought was important.” If you want that kind of happiness and peace of mind at the back end of life, the responsibility falls squarely on you to take up the hard problems and tackle them directly.
- Socrates (c. 470–399 BC) established the philosophical benchmark: an unexamined life is not worth living. - Hamming first heard the dictum walking behind a Yale professor who repeated it three times across a single quadrangle. - The fundamental choice at the close of one's career is between having merely coasted through an enjoyable, harmless life or having accomplished work of genuine consequence.
[43:06](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2586s) Style, the Revivalist Preacher, and Having No Excuses
Reflecting on what governs success in research and engineering, Hamming emphasizes that the deciding factor is ultimately a question of personal style. Throughout his lectures, he has repeatedly drilled home the necessity of working on the right problem, at the right time, and in the right way, warning that failing any part of that triad leaves a researcher doomed. Yet that overarching sense of style cannot be reduced to simple words or taught as a neat formula, much like an instructor cannot simply define what makes a great painting with words alone. An instructor can only display great works and demonstrate what real success looks like, which is what he has sought to do throughout the course.
```mermaid flowchart TD accTitle: The Researcher's Imperative accDescr: Flowchart illustrating Hamming's core conditions for scientific impact and his concluding charge to students. subgraph Execution ["The Triad of Style"] A["Work on the right problem"] B["At the right time"] C["In the right way"] end subgraph Outcome ["Hamming's Charge"] D["Repent idle ways"] --> E["Surpass the teacher"] end Execution --> Outcome ```
Stepping back to summarize the entire course and this lecture in particular, Hamming candidly casts himself in the role of a revivalist preacher delivering an impassioned sermon. His core message is an urgent call for personal transformation: to repent one's idle ways, buckle down, and become someone truly worth being. He stresses that during his own formative years at Los Alamos and Bell Labs, absolutely nobody sat him down to explain the mechanics of doing great research or how to achieve greatness; he had to stumble through and discover every single principle for himself. Having now laid out the full map for his students, he removes any possibility of rationalizing mediocrity. Richard Hamming closes his lecture with a final challenge: “I've told you how to succeed. You have no excuse for not doing better than I did.”
- Success demands a synthesis of style: attacking the right problem at the right moment using the right method. - Hamming views his pedagogical role not merely as an academic lecturer, but as a revivalist preacher calling on students to abandon idle habits and strive for excellence. - Because Hamming had to uncover these career principles entirely on his own while his students have been taught them explicitly, they carry no valid excuse for failing to surpass his achievements.
## Notable quotes > [12:30](https://www.youtube.com/watch?v=e3msMuwqp-o&t=750s) If what you're working on is not important and it's not likely to lead to important things, why are you working on it? — Richard Hamming
> [28:03](https://www.youtube.com/watch?v=e3msMuwqp-o&t=1683s) The guy who works hardest doesn't win. The person who works on the right problem at the right time in the right way is what counts and nothing else. — Richard Hamming
> [37:13](https://www.youtube.com/watch?v=e3msMuwqp-o&t=2233s) Change does not mean progress, but progress requires change. — Richard Hamming
> [16:28](https://www.youtube.com/watch?v=e3msMuwqp-o&t=988s) When you have a vision you will go a long way; without a vision of what you're going to do and where you're going to be, you're not going to get very far. — Richard Hamming
> [15:14](https://www.youtube.com/watch?v=e3msMuwqp-o&t=914s) What you have to work on are problems which can become important and matter, which have a future, which will grow into mighty oak trees. — Richard Hamming
## Mentioned Richard Hamming, Los Alamos, Bell Telephone Laboratories, IBM, Richard Feynman, Claude Shannon, Sally Mead, Albert Einstein, Isaac Newton, Thomas Edison, William G. Pfann, John Bardeen, William Shockley, Walter Brattain, J. B. Johnson, National Academy of Engineering, Institute for Advanced Study, John von Neumann, Grace Hopper, John Tukey, Hendrik Bode, The New Yorker, AT&T, Henri Poincaré, Naval Postgraduate School, University of Nebraska, Socrates, Yale University
## Video description I have given a talk with this title many times, and it turns out from discussions after the talk I could have just as well have called it "You and Your Engineering Career," or even "You and Your Career." But I left the word "Research" in the title because that is what I have most studied. From the previous chapters you have an adequate background for how I made the study, and I need not mention again the names of the famous people I have studied closely. The earlier chapters are, in sense, just a great expansion, with much more detail, of the original talk. This chapter is, in a sense, a summary of the previous chapters.
00:00 Introduction 03:15 Hamming’s experience 06:05 Newton observed...if other people fought as had as he did they would get the same results 10:30 Great people believe they can do great work 15:53 You have to work on problems which can become important 18:30 Working with your door closed or open 24:56 You have to make success either by inverting the problem or changing the problem 28:07 The race is not to the swiftest 30:25 Fundamentals 35:30 What aspects of the speaker can you adapt? 39:46 Earning the freedom to work 41:10 Is the effort to be a great person worth it? 44:23 End
* NPS Hamming portal: https://www.nps.edu/hamming * NPS course site: https://cle.nps.edu/portal/site/hamming
[Source](https://www.youtube.com/watch?v=e3msMuwqp-o)