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Jedediah Buxton

Jedediah Buxton 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 Jedediah Buxton rather than just read about it. In short: Jedediah Buxton (1707–1772) was a noted English mental calculator, born at Elmton, near Creswell, in Derbyshire. Life Buxton was born in 1707 and although his father was schoolmaster of Elmton, and his grandfather had been the vicar, he could not write; and his knowledge, except of numbers, was extremely limited.

Jedediah Buxton — main illustration
Jedediah Buxton — illustration

Key takeaways

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

Reference excerpt

Jedediah Buxton (1707–1772) was a noted English mental calculator, born at Elmton, near Creswell, in Derbyshire.

Life Buxton was born in 1707 and although his father was schoolmaster of Elmton, and his grandfather had been the vicar, he could not write; and his knowledge, except of numbers, was extremely limited. How he came to understand the relative proportions of numbers and their progressive denominations, he did not remember. However, this was his interest. He frequently took no notice of objects, and when he did, it was only with reference to their numbers. After hearing a sermon he knew nothing about its content other than that it contained a certain number of words which he had counted during its delivery. He measured the lands of Elmton, consisting of some thousand acres (4 km2), simply by striding over it. He gave the area not only in acres, roods and perches, but even in square inches. After this, he reduced them into square hairs'-breadths, reckoning forty-eight to each side of the inch. His memory was so great, that in resolving a question he could leave off and resume the operation again at the same point after the lapse of several months. His perpetual application to figures prevented the acquisition of other knowledge. Among the examples of Buxton's arithmetical feats which are given are his calculation of the product of a farthing doubled 139 times. The result, expressed in pounds, extends to thirty-nine figures, and is correct so far as it can be readily verified by the use of logarithms. Buxton afterwards multiplied this enormous number by itself. It appears that he had invented an original nomenclature for large numbers, a 'tribe' being the cube of a million, and a 'cramp' (if Mr. Holliday's statement can be trusted) a thousand 'tribes of tribes'.

Journey to London

His mental acuity was tested in 1754 by the Royal Society when he walked to London, who acknowledged their satisfaction by presenting him with a handsome gratuity. During his visit to the metropolis, he was taken to see the tragedy of Richard III. performed at Drury Lane theatre, but his whole mind was given to the counting of the words uttered by David Garrick. Similarly, he set himself to count the steps of the dancers; and he declared that the innumerable sounds produced by the musical instruments had perplexed him beyond measure. A memoir appeared in the Gentleman's Magazine for June 1754, to which (probably through the medium of a Mr Holliday, of Haughton Hall, Nottinghamshire), Buxton had contributed several letters. In this memoir, his age is given as forty-nine, which points to his birth in 1705; the date adopted above is on the authority of Daniel and Samuel Lysons' Magna Britannia (Derbyshire). His image can be seen online in the New York Library. A portrait by Miss Maria Hartley in 1764 hangs in Elmton Church. Jedediah Buxton was the son of William Buxton, a farmer and also the schoolmaster at Elmton. However, the Vicar of Elmton was not Jedediah's biological grandfather. John Davenport, the Vicar of Elmton, 1689–1709, was the second husband of Ann (William Buxton's mother). She had been previously married to Jedidiah's paternal grandfather, Edward Buxton of Chelmorton. A blue plaque was erected in Jedediah's honour in Elmton in 2011 after a public poll.

References

This article incorporates text from a publication now in the public domain: Chisholm, Hugh, ed. (1911). "Buxton, Jedediah". Encyclopædia Britannica (11th ed.). Cambridge University Press.

External links

Asimov on Everyone – Biographical Index of Isaac Asimov's essays

Illustrations

Jedediah Buxton illustration
Jedediah Buxton: The caption reads: Jedediah Buxton, A poor Day Labourer: born at Elmton in Derbyshire: who without being able to write or cast Accounts in the Ordinary method: perfor'md the longest Calculations and solv'd the most difficult Problems in Arithmetics, by the strength of his Memory; – neither Noise, nor Conversation cou'd interrupt him: he would either go on with his Calculations all the time or leave off in the midst and resume them again eventhough it should be Years afterwards.
The caption reads: Jedediah Buxton, A poor Day Labourer: born at Elmton in Derbyshire: who without being able to write or cast Accounts in the Ordinary method: perfor'md the longest Calculations and solv'd the most difficult Problems in Arithmetics, by the strength of his Memory; – neither Noise, nor Conversation cou'd interrupt him: he would either go on with his Calculations all the time or leave off in the midst and resume them again eventhough it should be Years afterwards.
Jedediah Buxton: Engraving of Buxton's examination by the Royal Society.
Engraving of Buxton's examination by the Royal Society.
Jedediah Buxton illustration

Worked examples

Example 1 — a first encounter with Jedediah Buxton

Start with the simplest possible case. Write down what Jedediah Buxton 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 Jedediah Buxton 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 Jedediah Buxton 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 Jedediah Buxton

In research
Jedediah Buxton 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 Jedediah Buxton 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
Jedediah Buxton is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1707 births, 1772 deaths, 18th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Jedediah Buxton 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 Jedediah Buxton in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Jedediah Buxton 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 Jedediah Buxton out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Jedediah Buxton in simple terms?

Jedediah Buxton (1707–1772) was a noted English mental calculator, born at Elmton, near Creswell, in Derbyshire. Life Buxton was born in 1707 and although his father was schoolmaster of Elmton, and his grandfather had been the vicar, he could not write; and his knowledge, except of numbers, was ext…

Why does Jedediah Buxton 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 Jedediah Buxton?

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 Jedediah Buxton.

Tags

  • 1707 births
  • 1772 deaths
  • 18th-century English mathematicians
  • Acquired savants
  • Mental calculators
  • People from Bolsover

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