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This is a passage from Leon Lederman and Dick Teresi's The God Particle: If the Universe Is the Answer, What Is the Question?.

Most Newtonian scholars agree that he believed in a particle-like structure of matter. Gravity was the one force Newton treated mathematically. He reasoned that the force between bodies, whether they be earth and moon or earth and apple, must be a consequence of the force between constituent particles. I would hazard a guess that Newton’s invention of the calculus is not unrelated to his belief in atoms. To understand the earth-moon force, for example, one has to apply our formula II. But what do we use for R, the earth-moon distance? If earth and moon were very small, there would be no problem in assigning R. It would be the distance between the centers of the objects. However, to know how the force of a very small particle of earth influences the moon and to add up all the forces of all the particles requires the invention of integral calculus, which is a way of adding an infinite number of infinitesimals. In fact, Newton invented calculus in and around that famous year, 1666, when the physicist claimed his mind was “remarkably fit for invention.”

I'm particularly interested in the last sentence. Call it idle curiosity, but I was interesting in finding where this quote was pulled from. Unfortunately, the text doesn't specify a source. The author continues into talking about Opticks, but the Gutenberg EBook doesn't seem to contain the phrase. A Google and a Google Books search just take me back to The God Particle. The book provides a bibliography of sorts, but it's very scattered. To quote:

I profited from several biographies of Newton, especially the version by John Maynard Keynes and Never at Rest by Richard Westfall (Cambridge: Cambridge University Press, 1981). Abraham Pais’s Inward Bound: Of Matter and Forces in the Physical World (New York: Oxford University Press, 1986) was an invaluable source, as was the classic A History of Science by Sir William Dampier (Cambridge: Cambridge University Press, 1948). The recent biographies Schrödinger: Life and Thought by Walter Moore (Cambridge: Cambridge University Press, 1989) and Uncertainty: The Life and Science of Werner Heisenberg by David Cassidy (New York: W. H. Freeman, 1991) were also of great help, as were The Life and Times of Tycho Brake by John Allyne Gade (Princeton: Princeton University Press, 1947), Galileo at Work: His Scientific Biography by Stillman Drake (Chicago: University of Chicago Press, 1978), Galileo Heretic by Pietro Redondi (Princeton: Princeton University Press, 1987), and Enrico Fermi, Physicist by Emilio Segré (Chicago: University of Chicago Press, 1970). We are indebted to Heinz Pagels for two books: The Cosmic Code (New York: Simon & Schuster; 1982) and Perfect Symmetry (New York: Simon & Schuster; 1985), and to Paul Davies for Superforce (New York: Simon & Schuster; 1984).

Some books by nonscientists provided anecdotes, quotes, and other valuable information—most notably Scientific Temperaments by Philip J. Hilts (New York: Simon & Schuster, 1982) and The Second Creation: Makers of the Revolution in Twentieth-Century Physics by Robert P. Crease and Charles C. Mann (New York: Macmillan, 1986).

I've dug through what I can using just a computer, but I haven't had much success myself. At this point, I'm more confused that I can't find any trace of this quote, and yet the author uses it as if it was as ubiquitous as the story of Newton observing a falling apple. Is there anything to suggest that Isaac Newton said it?

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    Are you looking for those exact words, or simply something to the same effect? An article in Encyclopedia.com states 'During these “two plague years of 1665 & 1666,” Newton later said, “I was in the prime of my age for invention & minded Mathematicks & Philosophy more then at any time since.”' – KillingTime Dec 18 '17 at 22:01
  • I got the impression that the author was quoting from another source, so I was looking for the exact words, and I didn't think to look for close-enough phrases. – Reversinator Dec 18 '17 at 23:30
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I believe the authors are paraphrasing a fairly well-known extract from a draft of a letter from Newton to Pierre Des Maizeaux, written in 1718. The extract in full reads as follows:

In the beginning of the year 1665 1 found the method of approximating series and the rule for reducing any dignity [power] of any binomial into such a series. The same year in May I found the method of tangents of Gregory and Slusius, and in November had the direct method of fluxions and the next year [1666] in January had the theory of colours and in May following I had entrance into the inverse method of fluxions. And the same year I began to think of gravity extending to the orb of the moon ... All this was in the two plague years of 1665 and 1666, for in those days I was in the prime of my age for invention and minded Mathematics and Philosophy more than at any time since.

(my emphasis)


The original draft of the letter is held in the collection of Cambridge University Library.

It has been digitised and is available to view under the reference MS Add.3968.29: 420-437 from their online collection.

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    Yes, and the fact it was plague years meant that the University was closed and travel was restricted. He had little to do but sit home and cogitate. – AllInOne Dec 18 '17 at 23:23
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    @AllInOne is that what the kids called it in those days? :P – SPavel Dec 19 '17 at 0:04
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    I'm annoyed with myself because I actually read that book already, but only before I was looking for the quote. – Reversinator Dec 19 '17 at 0:06
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    @Reversinator If I had £1 for every time that had happened to me I could probably retire! ;-) – sempaiscuba Dec 19 '17 at 0:08

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