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76 pages 2 hours read

Sylvia Nasar

A Beautiful Mind

Nonfiction | Biography | Adult | Published in 1998

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Part 1, Chapters 3-5Chapter Summaries & Analyses

Chapter 3 Summary: “The Center of the Universe, Princeton, Fall 1948”

Founded in 1746, Princeton was not regarded as a particularly reputable academic establishment. In the early twentieth century, its reputation had not improved and it was still seen as “an overgrown prep school” (51) particularly lacking in scientific talent.

This lack mirrored a general failing of American universities of the time. While European universities were responsible for revolutionary progress in mathematics and physics spearheaded by figures such as Albert Einstein and mathematician David Hilbert, America was falling far behind. However, substantial donations by the Rockefellers and the Bambergers would soon change that. Princeton was able to establish research-professorships to import European talent. When the dedicated research institution, the Institute for Advanced Study, was set up in Princeton, it even managed to lure in Einstein himself.

During the Second World War, further funding flooded in from the government and military, which were finding that mathematics was essential to everything from planning tactics to developing the A-bomb. The conflict had “enriched and invigorated American mathematics” and, after it ended, the government was still extremely keen to fund “pure research” (56).

When Nash arrives in Princeton in 1948, he finds himself in the center of American mathematics, a place filled with optimism where the students feel themselves part of “a great intellectual revolution” (57). 

Chapter 4 Summary: “School of Genius, Princeton, Fall 1948”

In Princeton, Nash and his fellow students meet the chairman of the mathematics department, Solomon Lefshetz. He declares that they will have to work hard to meet the university’s requirements, describing Princeton as a place “where real mathematicians [do] real mathematics” (58). He insists that they look the part, declaring, “It’s important to dress well” and demanding that they, “Let a Princeton barber cut your hair” (59).

Despite his focus on appearances, Lefshetz values “independent thinking and originality above everything” (59). He has little time for rigorous proofs and working out, accepting sparks of ingenuity as far more significant. This suits Nash perfectly, matching exactly his “temperament and style as a mathematician” (61).

Over formal tea in Princeton’s Fine Hall, students and faculty alike meet up and debate, discuss ideas, gossip, and analyze math. In an atmosphere that is “as competitive as it [is] friendly” (64), ideas flow and new theories flourish. It is a “mathematical hothouse” that will soon give Nash the “emotional and intellectual context he so much needed to express himself” (65).  

Chapter 5 Summary: “Genius, Princeton, 1948-1949”

Nash thrives in Princeton, a setting that allows him to engage in mathematics on his own terms with his own methods. One afternoon in 1948, a mathematics instructor named Kai Lai Chung looks into the usually-locked Professors’ Room and sees Nash lying on his back on a large, untidy table “perfectly relaxed, motionless, obviously lost in thought, arms folded behind his head” (66).

Such behavior is far from unusual for Nash, who spends “most of his time, it appears, simply thinking” (69). He lies on desks, slides down the corridors with “his shoulder pressed firmly against the wall” (69), and sometimes even borrows bicycles and rides them in “ever-smaller concentric circles” (69). Most of the time he is muttering to himself or whistling absently.

It is not only Nash’s absent, immersive approach to thinking that marks him as unusual—his whole approach to mathematics is original and challenging. He still reaches solutions through his own routes, eschewing the usual methods to rely on his own intuition. This appears to be something that he consciously cultivates. He refuses to become too attached to any lecturer or department because he is “determined to maintain his intellectual independence” (71). He does not even read a great deal believing that “learning too much secondhand would stifle creativity and originality” (68). Instead, he picks up pieces of information from others and then “reconstructs them” (68) using his own reasoning, allowing him to reach fresh insights.

Although gaining a reputation for original thinking, Nash is still not popular. He remains arrogant and dismissive while still being socially awkward, covering these traits by presenting himself as “a self-declared free thinker” (67) rebelling against orthodoxy. His fellow students are largely “beset by shyness, awkwardness, strange mannerisms, and all kinds of physical and psychological tics” (72-72). However, even they consider Nash strange, aloof, and “totally spooky” (73). Although some of the faculty accepts his strangeness, several others find him infuriatingly obtuse and precocious. 

Chapters 3-5 Analysis

These chapters set the scene for the world of high-level mathematics that Nash enters in 1948. Princeton in the mid-twentieth century is a “mathematical hothouse” (65) filled with radical new theories and eccentric individuals, which allows Nash his first real chance to explore and expand his understanding of mathematics.

Key to this is the fact that the faculty respects and encourages original thinking. As Nasar highlights repeatedly, original thought is key to Nash’s genius and his contributions to mathematics. His working method is always to take great intuitive leaps and he needs the freedom in which to explore this, developing a great fear of restrictions and regimentation that will also become a key theme in the text. Princeton gives him this freedom, allowing his originality to flourish.

In the third chapter, the extent of Nash’s dedication to this original thinking becomes more apparent as the reader sees him defying expectations and working on problems in his own way, even to the extent of avoiding excessive reading in order to maintain his “creativity and originality” (68).

Nasar returns to the image of Nash “lost in thought” (66) here as well, giving further images of Nash wandering around whistling, riding bikes in circles, or sprawling on tables. Again, these images serve to show Nash’s idiosyncratic approach to “studying” and highlight both his eccentricity and his social isolation, something which is reinforced by the reminder that Nash is still considered too strange to be popular with others. This view of Nash as excluded due to his eccentricity and obsessive dedication to original thinking foreshadows the way the obsessive delusions he experiences in later life will isolate him from others even more thoroughly. 

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