Isaac Barrow Quotes

He that loves a book will never want a [close] friend, a wholesome counselor, a cheerful companion, an effectual comforter. By study, by reading, by thinking, one may innocently divert and pleasantly entertain himself, as in all weathers, as in all fortunes.

While his school was closed due to an outbreak of plague in 1666–67, twenty-five-year-old Isaac Newton showed his professor, Isaac Barrow, what research he was conducting in his spare time. Barrow immediately gave up his job as a professor and became a student of Newton. What a noble gesture. What ethical behavior. When was the last time you heard of a professor vacating his post in favor of a better candidate? And when was the last time you read about a CEO clearing out his desk when he realized that one of his twenty thousand employees could do a better job?

While his school was closed due to an outbreak of plague in 1666–7, 25-year-old Isaac Newton showed his professor, Isaac Barrow, what research he was conducting in his spare time. Barrow immediately gave up his job as a professor and became a student of Newton. What a noble gesture. What ethical behaviour. When was the last time you heard of a professor vacating his post in favour of a better candidate? And when was the last time you read about a CEO clearing out his desk when he realised that one of his 20,000 employees could do a better job?

Virtue is not a mushroom, that springeth up of itself in one night when we are asleep [...] but a delicate plant, that groweth slowly and tenderly, needing much pains to cultivate it, much care to guard it, much time to mature it, in our untoward soil, in this world's unkindly weather.

Cambridge was run by a mixture of fogeys too old to be considered dangerous, and Puritans who had been packed into the place by Cromwell after he’d purged all the people he did consider dangerous. With a few exceptions such as Isaac Barrow, none of them would have had any use for Isaac’s sundial, because it didn’t look like an old sundial, and they’d prefer telling time wrong the Classical way to telling it right the newfangled way. The curves that Newton plotted on the wall were a methodical document of their wrongness—a manifesto like Luther’s theses on the church-door.

Foreshadowings of the principles and even of the language of [the infinitesimal] calculus can be found in the writings of Napier, Kepler, Cavalieri, Fermat, Wallis, and Barrow. It was Newton's good luck to come at a time when everything was ripe for the discovery, and his ability enabled him to construct almost at once a complete calculus.

theory. “The development of the general theory of relativity introduced Einstein to the power of abstract mathematical formalisms, notably that of tensor calculus,” writes the astrophysicist John Barrow. “A deep physical insight orchestrated the mathematics of general relativity, but in the years that followed the balance tipped the other way. Einstein’s search for a unified theory was characterized by a fascination with the abstract formalisms themselves.”44 In his Oxford lecture, Einstein began with a nod to empiricism: “All knowledge of reality starts from experience and ends in it.” But he immediately proceeded to emphasize the role that “pure reason” and logical deductions play. He conceded, without apology, that his success using tensor calculus to come up with the equations of general relativity had converted him to a faith in a mathematical approach, one that emphasized the simplicity and elegance of equations more than the role of experience. The fact that this method paid off in general relativity, he said, “justifies us in believing that nature is the realization of the simplest conceivable mathematical ideas.”45 That is an elegant—and also astonishingly interesting—creed. It captured the essence of Einstein’s thought during the decades when mathematical “simplicity” guided him in his search for a unified field theory. And it echoed the great Isaac Newton’s declaration in book 3 of the Principia: “Nature is pleased with simplicity.” But Einstein offered no proof of this creed, one that seems belied by modern particle physics.46 Nor did he ever fully explain what, exactly, he meant by mathematical simplicity. Instead, he merely asserted his deep intuition that this is the way God would make the universe. “I am convinced that we can discover by means of purely mathematical constructions the concepts and the laws connecting them with each other,” he claimed.