Letter from Thomas Bayes to John Canton concerning logarithms, 24 November 1763.

      the behaviour of gases, the development of the pocket watch, the thermal expansion of glass. Before most people had ever tasted a potato, the Royal Society debated the practicality of making it a staple crop in Ireland (ironically, as a hedge against famine). Two years after its formation, Christopher Merret, one of the founding Fellows, demonstrated a method for fermenting wine twice over, endowing it with a pleasing effervescence. He had, in short, invented champagne. The next year John Aubrey contributed a paper on the ancient stone monuments at Avebury, and so effectively created archaeology. John Locke contributed a paper on the poisonous fish of the Bahamas. And so it went on, decade after productive decade. When Benjamin Franklin flew his kite in a thunderstorm it was for the Royal Society that he very nearly killed himself. When a gas holder in Woolwich exploded with devastating consequences or gunpowder repeatedly failed to ignite or the navy needed a cure for scurvy, the Royal Society was called in to advise.

      At least three things have always set the Society apart. First, from the outset, it was truly international. In 1665, Henry Oldenburg, himself German born, became editor of the Society’s first journal (now one of seven), which was given the full and satisfying name Philosophical Transactions: Giving some Accompt of the Present Undertakings, Studies and Labours of the Ingenious in many Considerable Parts of the World. No words from the Society’s early annals have more significance than that phrase ‘many Considerable Parts of the World’.

      ‘The international aspect was clearly a central part of what made it a success so early,’ says Stephen Cox, the Society’s genial chief executive. ‘Right from the start we were getting papers from people like Marcello Malpighi and Christiaan Huygens, so very early on it had become a place where ideas from all over could be exchanged – a kind of early version of the Internet really.’ As Cox likes to note, the Royal Society had a foreign secretary a hundred years before the British government did.

      In an age when sabres hardly ever ceased rattling, the Society became the least nationalistic of national institutions. The name itself is telling. Royal Society of London describes a location, not an allegiance. Had it been the Royal Society of Great Britain it would have been a very different organisation whether it wished it or not. So throughout its history it has been the most admirably neutral and cosmopolitan of entities. When Benjamin Franklin was a voice of revolution against Great Britain, he was still an esteemed and welcome member of the Society; and when Captain James Cook circumnavigated the globe in British ships in the name of knowledge he did so with perfect assurances that he would not be molested by any American vessels he encountered. During the Napoleonic wars, Humphry Davy was able to travel on scientific business across Europe thanks to a letter of dispensation from Napoleon that he carried in his pocket. The Société Philomathique gave him a dinner in Paris and drank the health of the Royal Society, if not the king. In like spirit, the Society refused to expel Fellows from enemy nations during either of the world wars, and was one of the first bodies to re-establish links after them.

      Engraving of Antoni van Leeuwenhoek by Verkolje.

      A letter from Antoni van Leeuwenhoek to the Royal Society regarding observations of duckweed, its roots and reproduction, 25 December 1702.

      Quite as remarkable as its cosmopolitanism was a second distinctive characteristic of the Royal Society – namely, that it wasn’t necessary to be well born to be part of it. Having wealth and title didn’t hurt, of course, but being scientifically conscientious and experimentally clever were far more important. No one better illustrated this than a retiring linen draper from Delft named Antoni van Leeuwenhoek. Over a period of fifty years – a period that began when he was already past forty – Leeuwenhoek submitted some two hundred papers to the Royal Society, all accompanied by the most excellent and exacting drawings, of the things he found by looking through his hand-wrought microscopes. These were tiny wooden paddles with a little bubble of glass embedded in them. How he managed to work them is something of a wonder even now, but he achieved magnifications of up to 275 times and discovered the most incredible things: protozoa, bacteria and other wriggling life where no life was thought to be. The idea that there were whole worlds in a drop of fluid was a positive astonishment.

      A replica of Leeuwenhoek’s microscope.

      Leeuwenhoek’s observations of his own facial hair, 22 February 1676.

      Leeuwenhoek’s observations of rotifers and their parasitic worms, 4 November 1704.

      Leeuwenhoek had practically no education. He filed his reports in Low Dutch because he had no English and no Latin. He didn’t even have High Dutch, it appears. But none of that mattered. What mattered was that he had a genius for microscopy and a profound respect for knowledge.

      In 350 years, the Royal Society has had a mere 8,200 members, but what a roll call of names. In no very particular order they include Isaac Newton, Christopher Wren, Edmond Halley, Robert Boyle, Robert Hooke, Benjamin Franklin, John Locke, Humphry Davy, Charles Darwin, Ernest Rutherford, Isambard Kingdom Brunel, Joseph Banks, T.H. Huxley, James Watt, Joseph Lister, Henry Cavendish, Michael Faraday, James Clerk Maxwell, Lawrence Bragg, Paul Dirac, Peter Medawar, Alexander Fleming, James Chadwick, Lord Rayleigh, William Ramsey, Lord Kelvin, Kathleen Lonsdale, Dorothy Hodgkin, Miriam Rothschild, Anne McLaren and literally hundreds more who changed the world by changing our understanding of it. To be part of such an establishment is an extraordinary achievement. This isn’t just the most venerable learned society in the world, it is the finest club.

      Throughout its busy history, the Society has demonstrated an almost uncanny knack for selecting people before they gave any particular hint of the greatness that would make them immortal. Edmond Halley was made a Fellow before he received his degree from Oxford. Charles Darwin, elected in 1839 only three years after his youthful Beagle voyage, was not even known for his work on barnacles, much less on evolution. William Henry Fox Talbot became an FRS a good two years before the first vague notion of photography flitted through his head. And of course there was Thomas Bayes, scribbling a theorem that the world would have to wait nearly 250 years to use.

      The Society has also demonstrated a heroic, and indeed endearing, tendency to recognise the unsung. The example that leaps to mind for me here is that of Hermann Sprengel, the forgotten father of electric lighting. Everyone thanks Joseph Swan and Thomas Edison for giving us the homely glow of incandescent lighting, but in fact Sir William Grove (who, it more or less goes without saying, was himself a Fellow) had demonstrated a working incandescent bulb well over thirty years before them – seven years before Edison was even born. It’s just that Grove’s bulb didn’t last very long. What was needed was a vacuum that would allow a filament to burn for long periods. Sprengel, a German chemist working in London, invented a pump that could drain the air from a glass chamber down to one-millionth of its normal volume, allowing filaments to burn for hours and making electric lighting a commercial possibility at last. Edison and Swan found the filaments and got the glory. Sprengel was forgotten almost at once by everyone except the Royal Society, which made him a Fellow in 1878, nearly fifteen years before he was recognised by any institution in his native Germany.

      The best place I know to get some sense of what the Royal Society is and has achieved is a modest, crowded storeroom in the basement of its headquarters in Carlton House Terrace in London. Here, neatly shelved

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