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. 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).
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.
- Dictionary of National Biography, now in the public domain
- W. W. Rouse Ball (1960) Calculating Prodigies, in Mathematical Recreations and Essays, Macmillan, New York, chapter 13.
- Cecil R. Reynolds; Elaine Fletcher-Janzen (2 January 2007). Encyclopedia of Special Education: A Reference for the Education of Children, Adolescents, and Adults with Disabilities and Other Exceptional Individuals. John Wiley & Sons. pp. 1783–. ISBN 978-0-471-67801-4.
- Gallery collection
- See John Davenport's Will dated 1709 at Lichfield Record Office and also his Wife's administration papers of 1716. Gary Woodhouse (5X grt grandchild of Jedidiah Buxton)
- Jedidiah Buxton – untaught mathematical genius. Derbyshire County Council
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- Asimov on Everyone – Biographical Index of Isaac Asimov's essays