Mathematics is the science of time

“Mathematics is the science of time” is presented as a principle of mathematical work, not merely a metaphor. In a tightly timed examination, seconds determine which insights can be completed and credited; across a life of study, illness, research, and cryptanalysis, time governs whether talent can be pursued, recognized, or brought to a result.

A principle made measurable

The expression appears among two points that a mathematical competition is designed to emphasize: that mathematics is the most scientific of sciences, and that mathematics is the science of time. The competition makes that second claim concrete. Contestants face fifteen questions, worth 150 points in total, with just forty-five minutes for the paper. The highest score that year is 76.5, while a place in the top ten requires more than 37.55. The limits do not merely measure what competitors know; they make speed and the allocation of attention part of the test.

Jan Liseiwicz takes the paper himself for the same forty-five minutes before using it to test Rong Jinzhen. He answers the first eight questions, but leaves the ninth unfinished, judging that his score should fall below the year’s highest mark. He believes a couple more minutes would have let him solve the ninth. His experience demonstrates the contest’s severity from the examiner’s side: even an accomplished mathematician can be stopped not by lack of understanding, but by the clock.

Rong Jinzhen completes six questions. On one, Jan Liseiwicz gives him no marks because he considers the solution an improper alteration of the original question. Rong Jinzhen reaches the final logic problem with only a minute and a half remaining, too little time to work it through on paper. In the examination’s last seconds, however, he writes down the correct answer. The episode makes the expression almost literal: a very small remainder of time separates an unattempted problem from a correct response, while the judgment of the examiner determines how that response counts.

Time as opportunity and interruption

The test changes Jan Liseiwicz’s assessment of Rong Jinzhen’s prospects. He tells Young Lillie that his student could become the best student at Harvard, MIT, Princeton, Stanford University, or another leading university, and urges him to give Rong Jinzhen the opportunity to study abroad. Young Lillie cannot provide the money. The family’s remaining assets have largely disappeared: property at Tongzhen has been seized, and Young Lillie has given the family’s last commercial property in C City to the People’s Government. His savings have also been spent trying to save his daughter’s life. The obstacle to study is thus not a failure of mathematical ability but the material circumstances that determine whether that ability can be developed elsewhere.

Jan Liseiwicz’s persistence briefly appears to overcome that obstacle. He writes a 3,000-word appeal to Dr Gábor Szegő, head of Stanford University’s mathematics department. A few months later, the department accepts Rong Jinzhen as a scholarship student and sends a $110 money order for travel expenses. The funding creates a route to study abroad, but it cannot secure the time in which that future would have to unfold: just as Rong Jinzhen prepares to spend his last summer at the university before leaving, he becomes seriously ill. He remains in China.

The contrast gives the expression a further force. Time is an examination’s fixed allowance, but it is also the span of a person’s possible future, vulnerable to illness and financial constraint. Jan Liseiwicz’s intervention can provide money and an opportunity; it cannot guarantee that Rong Jinzhen will be well enough to use them.

Work measured in years

The expression also fits the slower rhythms of mathematical research. Rong Jinzhen’s graduation thesis, titled The Constant π as a Definable yet Irrational Number, begins as a 20,000-character draft and is reduced through revision to just over 10,000 characters. Young Lillie is impressed by its reasoning and works to simplify some proofs, but Master Rong later confirms that her father supplied only a couple of reference books and the introduction; Rong Jinzhen wrote the substance himself. The thesis is published in Popular Mathematics and attracts attention in Chinese mathematical circles, though its revisions lead some readers to doubt that an undergraduate produced it independently. The passage of the work from draft to publication brings both development and disputed recognition.

Rong Jinzhen and Young Lillie later work together on an artificial-intelligence research facility. Over the next couple of years they publish six co-authored papers, and their research advances step by step. Their first two papers, published in China, are reprinted in three international journals. The account sets this sustained progress against public claims that China will soon build the next computer: the measured description emphasizes real advances, but also the difficulties that remain. In this sense, time is neither a contest clock nor a guarantee of success. It is the duration in which research can accumulate, meet obstacles, and be assessed.

Patience, cryptography, and recognition

In cryptography, the principle becomes a demand to use every second and every inch. The conventional method described in the novel proceeds by collecting information, forming hypotheses, and testing possible keys and cipher structures. It is slow and laborious, but is also presented as the safer and more effective approach, particularly for a high-level cipher. Rong Jinzhen’s work on BLACK gives that labor a stark temporal measure: after years of patience and countless days and nights, he has still not deciphered it. The time spent waiting for a useful opening has not, so far, produced the desired result.

The eventual question of who receives credit for deciphering BLACK extends the expression from problem-solving to scientific reputation. Jan Liseiwicz’s achievement is widely attributed to the use of Rong Jinzhen’s notebook, and colleagues object that Rong Jinzhen has been pushed out of the account. Jan Liseiwicz later tells an interviewer that Rong Jinzhen was the one who deciphered BLACK and that his own reputation was undeserved. The disclosure reframes recognition as something that may arrive late, after a contribution has been obscured and others have already formed an account of the work.

Taken together, the expression joins sharply different measures of time: forty-five minutes for a competition paper, the final seconds in which Rong Jinzhen records a correct answer, years spent pursuing BLACK, and the longer span in which research and credit take shape. Mathematical ability matters throughout, but the novel repeatedly shows that its consequences depend on when opportunity arrives, how long work can continue, and whether recognition catches up with the person who earned it.