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John Gough (natural philosopher)

John Gough (natural philosopher) 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 John Gough (natural philosopher) rather than just read about it. In short: John Gough ( GOF; 17 January 1757 – 28 July 1825) was a blind English natural and experimental philosopher who is known for his own investigations as well as the influence he had on both John Dalton and William Whewell. Life John Gough was born in Kendal, Westmorland, on 17 January 1757, the eldest child of Nathan Gough (died 1800) and his wife, Susannah (1731–1798).

John Gough (natural philosopher) — main illustration
John Gough (natural philosopher) — illustration

Key takeaways

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

Reference excerpt

John Gough ( GOF; 17 January 1757 – 28 July 1825) was a blind English natural and experimental philosopher who is known for his own investigations as well as the influence he had on both John Dalton and William Whewell.

Life John Gough was born in Kendal, Westmorland, on 17 January 1757, the eldest child of Nathan Gough (died 1800) and his wife, Susannah (1731–1798). Gough's father was a wool dyer and shearman dyer, while his mother was the eldest daughter of John Wilson, a prosperous farmer with an estate on the west bank of Windermere. Nathan and Susannah Gough had three sons and four daughters, one of whom died in infancy. The family belonged to the Society of Friends, whose communities flourished in Cumberland and Westmorland during this period. Before he was three years old, Gough was attacked by smallpox and lost his sight. In his childhood he expended much effort in developing his sense of touch and hearing, and appears to have been especially eager to learn to recognize animals by touch. In 1778 at the age of twenty-one, Gough became a resident pupil of John Slee, a mathematical master at Mungrisdale, Cumberland. Gough stayed at Mungrisdale for eighteen months, following the traditional curriculum up to the elementary principles of calculus. Returning home he took up calculus, with his second sister, Dorothy Gough (born 1768), acting as his reader. From around 1782 to 1790 he enjoyed the acquaintance of John Dalton, a cousin of George Bewley and also a lakeland Quaker, who had come to Kendal to take up a position in Bewley's school. Dalton assisted Gough by reading, writing, and making calculations and diagrams on his behalf. In return Dalton, who later became one of the most eminent figures in nineteenth-century science, was tutored by Gough in Latin and Greek. Dalton later referred to Gough as a "prodigy in scientific attainments." In 1800 at the parish church of Kendal, Gough married Mary (died 1858), daughter of Thomas Harrison of Crosthwaite, Cumberland. On their marriage they moved to Middleshaw in the hamlet of Old Hutton. John and Mary Gough had nine children, one of whom, Thomas Gough (1804 – 1880) became a surgeon in Kendal. In 1812 Gough had a house, which he named Fowl Ing, built for himself and his family on the south-west slope of Benson Knot, a hill 2 miles north-east of Kendal. At about the same time he began to act as a private tutor of mathematics to a select group of pupils from northern England, whom he prepared for university. The subsequent fame of his students superseded his own celebrity. A number of them went on to achieve high distinction in the mathematical tripos, and subsequently in the hierarchies of university and church. One of Gough's first students was William Whewell, who was with him in 1812 and later described Gough as "a very extraordinary person." From 1823, John Gough had repeated attacks of epilepsy. He died on 28 July 1825, leaving his wife and seven of their children. He was buried in the parish churchyard of Kendal.

Career

Gough had wide-ranging scientific interests. He published papers in natural history, mechanics, mathematics, chemistry, and experimental physics. One of his most interesting pieces of work was an investigation into the properties of natural rubber or Caoutchouc. He was the first to describe the heat released when a rubber band is quickly stretched, the heat being detected by the lips to which the band is pressed. When stretched rubber is heated, it contracts, a reversal of the normal behaviour of materials when heated. Gough published these results, and others, in a letter to the Manchester Literary and Philosophical Society in 1804. King has written that through Dalton, Gough exerted an indirect influence years later on James Joule, who undertook his own investigations into rubber, elasticity, and energy changes, and specifically referred to Gough's earlier studies. The effect eventually became known as the Gough–Joule effect. Gough's most substantive enquiry was "An investigation of the method whereby men judge by the ear of the position of sonorous bodies relative to their own persons", which appeared in 1802 during an ongoing controversy with another former Quaker, the noted natural philosopher Thomas Young, over the nature of compound sounds. Among his works in the natural sciences, he carried out experiments with plants. He had developed the skill of using his upper lip to identify plants by touch, and reported the hydrosere succession as freshwater lakes dry out and become land. He also described seed banks in soils.

Recognition Kendal Museum holds a bust of Gough, carved in marble by an unknown artist. It bears the title "John Gough / The Blind Philosopher / 1757-1825". Gough's autobiography, transcribed and annotated by Michael Pearson and Ian D. Hodkinson, was published in 2021 by the Cumberland and Westmorland Antiquarian and Archaeological Society with the title The Dark Path to Knowledge.

References

Further reading Gough, John (2021). Pearson, Michael; Hodkinson, Ian David (eds.). The Dark Path to Knowledge: The Autobiography of John Gough of Kendal (1757-1825), 'Blind Philosopher' and Polymath. Cumberland and Westmorland Antiquarian and Archaeological Society. ISBN 978-1-873124-89-5. Coleridge, Samuel Taylor (1812), "The Soul and its Organs of Sense", in Southey, Robert (ed.), Omniana, vol. 2, London: Longman, Hurst, Rees, Orme, and Brown, pp. 17–18 Curwen, John F. (1900), Kirkbie-Kendal, Kendal: T. Wilson, pp. 308–309, 349, 407, 424 Foster, Joseph (1890), The Pedigree of Wilson of High Wray and Kendal, p. 96 Henry, William Charles (1854), Memoirs of the Life and Scientific Researches of John Dalton, London: Harrison and Sons, pp. 9–11 Nicholson, F.; Axon, E. (1915), The Older Nonconformity in Kendal, Kendal: Titus Wilson, pp. 374–375, 378, 523–524

External links Gough on the thermodynamics of rubber

Worked examples

Example 1 — a first encounter with John Gough (natural philosopher)

Start with the simplest possible case. Write down what John Gough (natural philosopher) 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 John Gough (natural philosopher) 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 John Gough (natural philosopher) 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 John Gough (natural philosopher)

In research
John Gough (natural philosopher) 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 John Gough (natural philosopher) 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
John Gough (natural philosopher) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1757 births, 1825 deaths, 18th-century English naturalists, so understanding it makes those chapters shorter.
In everyday life
Look for John Gough (natural philosopher) 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 John Gough (natural philosopher) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what John Gough (natural philosopher) 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 John Gough (natural philosopher) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is John Gough (natural philosopher) in simple terms?

John Gough ( GOF; 17 January 1757 – 28 July 1825) was a blind English natural and experimental philosopher who is known for his own investigations as well as the influence he had on both John Dalton and William Whewell. Life John Gough was born in Kendal, Westmorland, on 17 January 1757, the eldest…

Why does John Gough (natural philosopher) 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 John Gough (natural philosopher)?

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 John Gough (natural philosopher).

Tags

  • 1757 births
  • 1825 deaths
  • 18th-century English naturalists
  • 18th-century English philosophers
  • 19th-century English philosophers
  • Blind scholars and academics
  • British blind writers
  • British scientists with disabilities
  • English Quakers
  • English blind people
  • English mathematicians
  • English philosophers of science

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