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James Jurin

James Jurin is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand James Jurin rather than just read about it. In short: James Jurin (baptised 15 December 1684 – 29 March 1750) was an English scientist and physician, particularly remembered for his early work in capillary action and in the epidemiology of smallpox vaccination. He was a staunch proponent of the work of Sir Isaac Newton and often used his gift for satire in Newton's defence.

James Jurin — main illustration
James Jurin — illustration

Key takeaways

  • James Jurin belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect James Jurin to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of James Jurin from memory before moving on to harder problems.

Reference excerpt

James Jurin (baptised 15 December 1684 – 29 March 1750) was an English scientist and physician, particularly remembered for his early work in capillary action and in the epidemiology of smallpox vaccination. He was a staunch proponent of the work of Sir Isaac Newton and often used his gift for satire in Newton's defence. In 1716 he was present—along with Newton, Robert Smith, William Whiston, and Edmund Halley—when Martin Folkes proposed the black Jamaican Francis Williams for fellowship of the Royal Society.

Early life Jurin's father was John Jurin, a London dyer. His mother was John's wife Dorcas Cotesworth. He was educated at Christ's Hospital where he won a scholarship to Trinity College, Cambridge, graduating BA in 1705, and being elected fellow the following year. Becoming the protégé of the master of Trinity, Richard Bentley, Jurin became tutor to Mordecai Cary, travelling with him internationally. Jurin achieved his MA in 1709 and became headteacher of the Royal Grammar School, Newcastle. Jurin became a frequent public speaker on mathematics and the work of Sir Isaac Newton. Jurin returned to Cambridge in 1715 to study medicine, becoming MD the following year and establishing a successful practice in London and Tunbridge Wells. In 1722, he lectured on anatomy to the Company of Surgeons. From 1725 to 1732 he worked as a physician at Guy's Hospital, thereafter becoming a governor of the hospital. In 1724, Jurin married Mary Douglas, née Harris (died 1784), wealthy widow of Oley Douglas, and they had five daughters and one son.

Medical practice Jurin rose to a position of some eminence in medicine and science. He is described as "witty, satirical, ambitious, and professionally and financially successful". He was a powerful advocate of the smallpox variolation, a procedure involving scratching pus or material from the scabs of smallpox sores into the veins of a non-immune person to create a mild case of the disease that would confer lifelong immunity. Jurin used an early statistical study to compare the risks of variolation with those from contracting the disease naturally. He studied mortality statistics for London for the fourteen years prior to 1723 and concluded that one fourteenth of the population had died from smallpox, up to 40 percent during epidemics. He advertised in the Proceedings of the Royal Society for readers to report their personal and professional experiences and received over sixty replies, most from other physicians or surgeons, but most significantly from Thomas Nettleton who reported his own calculations from his experience in several communities in Yorkshire. Jurin's analysis concluded that the probability of death from variolation was roughly 1 in 50, while the probability of death from naturally contracted smallpox was 1 in 7 or 8. He published his results in a series of annual pamphlets, An Account of the Success of Inoculating the Small-Pox (1723–1727). His work was very influential in establishing smallpox variolation in England some seventy years before Edward Jenner introduced the more effective method of "vaccination" using cowpox material in place of human smallpox. Jurin claimed that he had given "plain Proof from Experience and Matters of Fact that the Small Pox procured by inoculation ... is far less Dangerous than the same Distemper has been for many Years in the Natural Way."

Newtonian scientist Jurin was an "ardent Newtonian". He had studied under Roger Cotes and William Whiston at Cambridge but only came to know Newton at the Royal Society, where Jurin was Secretary towards the end of Newton's Presidency. Always advocating the Newtonian position, he was a keen controversialist, corresponding with Voltaire, Georges-Louis Leclerc, Comte de Buffon and Émilie du Châtelet. He took an active part in defending Newton and attacking Gottfried Leibniz in the debate over vis viva, opposing the views of Benjamin Robins and Pietro Antonio Michelotti. Jurin fostered international observational research into weather and meteorology, and studied the phenomenon of capillary action, deriving the rule that the height of liquid in a capillary tube is inversely proportional to the diameter of the tube at the surface of the liquid only, a law sometimes known as Jurin's law. He published on hydrodynamics and was critical of Jean and Daniel Bernoulli's work. Jurin worked on iatrophysics, investigating the mechanical behaviour of the heart and the specific gravity of blood, debating the heart with James Keill and Jean-Baptiste de Sénac. He wrote an addendum (1738) On Distinct and Indistinct Vision to Robert Smith's Opticks and engaged in a lively epistollary exchange with Robins on the topic. With help from Edmond Halley and Roger Cotes, Jurin published a revised and translated Geographia Generalis, based on Newton's editions of the work. This was partly to counter the Cartesianism movement at Cambridge who had taken to using the text, and to advance Newtonianism.

Controversy with Berkeley In 1734, George Berkeley published The Analyst in which he attacked the calculus as flawed and ultimately absurd. Between 1734 and 1742, Jurin published over three hundred pages in robust rebuttal of Berkeley, many of them employing his favourite weapon of satire. The publications, some under the pseudonym Philalethes Cantabrigensis, included Geometry no Friend to Infidelity, or A Defence of Sir Isaac Newton & the British Mathematicians (1734) and The Minute Mathematician, or The Freethinker no Just Thinker (1735). Berkeley quickly withdrew from the debate and Jurin turned his attentions on Robins and Henry Pemberton. The controversy was re-ignited years later when Jurin wrote negatively in response to Berkeley's promotion of tar-water.

Later life Jurin attended Robert Walpole as his physician and prescribed lixivium lithontripticum for Walpole's bladder stones. Jurin had used a similar prescription for himself but Walpole died and Jurin was blamed for his death, again necessitating an energetic pamphlet campaign to defend his practice. Jurin died in London and was buried at St James Garlickhythe. His estate was valued at £35,000 (£4.9 million at 2003 prices). His bust, by Peter Scheemakers stands in Trinity College, Cambridge.

Offices and honours

References

… excerpt ends here. Continue reading the full article.

Illustrations

James Jurin illustration

Worked examples

Example 1 — a first encounter with James Jurin

Start with the simplest possible case. Write down what James Jurin claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to James Jurin before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about James Jurin ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of James Jurin

In research
James Jurin appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses James Jurin in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
James Jurin is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1684 births, 1750 deaths, 18th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for James Jurin outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study James Jurin in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what James Jurin means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain James Jurin out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is James Jurin in simple terms?

James Jurin (baptised 15 December 1684 – 29 March 1750) was an English scientist and physician, particularly remembered for his early work in capillary action and in the epidemiology of smallpox vaccination. He was a staunch proponent of the work of Sir Isaac Newton and often used his gift for sati…

Why does James Jurin matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study James Jurin?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on James Jurin.

Tags

  • 1684 births
  • 1750 deaths
  • 18th-century English mathematicians
  • 18th-century English medical doctors
  • Alumni of Trinity College, Cambridge
  • British fellows of the Royal Society
  • British public health doctors
  • English scientists
  • English statisticians
  • Fellows of Trinity College, Cambridge
  • Fellows of the Royal College of Physicians
  • Freemasons of the Premier Grand Lodge of England

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