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William Morgan (actuary)

William Morgan (actuary) 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 William Morgan (actuary) rather than just read about it. In short: William Morgan, FRS (26 May (O.S.) 1750 – 4 May 1833) was a British physician, physicist and statistician, who is considered the father of modern actuarial science. He is also credited with being the first to record the "invisible light" produced when a current is passed through a partly evacuated glass tube: "the first x-ray tube".

William Morgan (actuary) — main illustration
William Morgan (actuary) — illustration

Key takeaways

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

Reference excerpt

William Morgan, FRS (26 May (O.S.) 1750 – 4 May 1833) was a British physician, physicist and statistician, who is considered the father of modern actuarial science. He is also credited with being the first to record the "invisible light" produced when a current is passed through a partly evacuated glass tube: "the first x-ray tube".

Life He was born in Bridgend, Glamorgan, Wales, son to physician William Morgan and Sarah (sister of Richard Price). William's brother was George Cadogan Morgan. At eighteen he received medical training at Guy's Hospital, London, working also as an apothecary to pay his way. He did not complete his training, but after one year returned to Bridgend to join his father's practice. He was not popular with his father's patients: they thought him inexperienced and they resented receiving treatment from someone with a deformity—Morgan suffered from a club foot. After his father's death he left medicine and in 1774, on the recommendation of his mother's brother, the renowned Richard Price, he was appointed Assistant Actuary of the Equitable Life Assurance Society. In February 1775, after the death of John Pocock, he was elected Actuary. By the time he retired on 2 December 1830, 56 years later at the age of 80, he had laid the foundations of the actuarial profession —in fact the term "actuarial" became attached to the profession because of his title. He won the Copley Medal in 1789, for his two papers on the values of Reversions and Survivorships, printed in the last two volumes of the Philosophical Transactions of the Royal Society, in the field of actuarial science:

"On the Probabilities of Survivorships Between Two Persons of Any Given Ages, and the Method of Determining the Values of Reversions Depending on those Survivorships", 1788–1794 "On the Method of Determining, from the Real Probabilities of Life, the Value of a Contingent Reversion in Which Three Lives are Involved in the Survivorship". Philosophical Transactions of the Royal Society of London, vol. 79 (1789) pp. 40–54

He was elected a Fellow of the Society, in May of the following year. Advised by Joseph Priestley, a family friend, he developed an interest in scientific experimentation and is credited with being the first to record the "invisible light" produced when a current is passed through a partly evacuated glass tube: "the first x-ray tube". Later in life, through his uncle, Richard Price, he became friends with noted radicals, including Tom Paine and Francis Burdett. He escaped with only a warning when in 1794, the authorities rounded up members of the movement and charged them with treason. He died at Stamford Hill on 4 May 1833, and was buried at Hornsey. Other publications:

The Doctrine of Annuities and Assurances on Lives and Survivorships, 1779 Examination of Dr. Crawford's theory of Heat and Combustion. London. 1781. OCLC 759116654. (Discusses the work of Adair Crawford) Esame della teoria del sig. dottore Crawford intorno al calore ed alla combustione. Translated by Antonio Ria Vassalli. Turin: Giammichele Briolo. 1788. OCLC 1203443606. – translation into Italian Computation of Premiums for Life Assurance on the Basis of the Northampton Table of Mortality, manuscript Valuation (Individually) of the Assurance Contracts in Force in 1786, manuscript Yearly Computation of Expected Deaths and Accounts Showing the State of the Equitable Life Assurance Society According to the Plan Suggested by Richard Price, manuscript Nine Addresses to the General Court of the Equitable Society Covering the Years 1793 to 1830, 1833

References

Attribution This article incorporates text from a publication now in the public domain: Thomas, Daniel Lleufer (1894). "Morgan, William (1750-1833)". In Lee, Sidney (ed.). Dictionary of National Biography. Vol. 39. London: Smith, Elder & Co.

External links Royal Society citation Some family connexions Archived 22 May 2006 at the Wayback Machine Catalogue of an exhibition illustrating the history of actuarial science in the United Kingdom Archived 22 May 2006 at the Wayback Machine, 1973 Thomas, D. L.; Pearson, Robin (2005) [2004]. "William Morgan (1750–1833)". Oxford Dictionary of National Biography (online ed.). Oxford University Press. doi:10.1093/ref:odnb/19244. (Subscription, Wikipedia Library access or UK public library membership required.)

Illustrations

William Morgan (actuary): Portrait of Morgan by Sir Thomas Lawrence
Portrait of Morgan by Sir Thomas Lawrence
William Morgan (actuary): The principles and doctrine of assurance, 1821
The principles and doctrine of assurance, 1821

Worked examples

Example 1 — a first encounter with William Morgan (actuary)

Start with the simplest possible case. Write down what William Morgan (actuary) 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 William Morgan (actuary) 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 William Morgan (actuary) 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 William Morgan (actuary)

In research
William Morgan (actuary) 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 William Morgan (actuary) 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
William Morgan (actuary) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1750s births, 1833 deaths, 18th-century Welsh mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for William Morgan (actuary) 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 William Morgan (actuary) in 20 minutes

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

Frequently asked questions

What is William Morgan (actuary) in simple terms?

William Morgan, FRS (26 May (O.S.) 1750 – 4 May 1833) was a British physician, physicist and statistician, who is considered the father of modern actuarial science. He is also credited with being the first to record the "invisible light" produced when a current is passed through a partly evacuated…

Why does William Morgan (actuary) 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 William Morgan (actuary)?

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 William Morgan (actuary).

Tags

  • 1750s births
  • 1833 deaths
  • 18th-century Welsh mathematicians
  • 18th-century Welsh scientists
  • 19th-century British scientists
  • 19th-century British statisticians
  • 19th-century Welsh businesspeople
  • 19th-century Welsh mathematicians
  • 19th-century Welsh scientists
  • British actuaries
  • British fellows of the Royal Society
  • British physicists

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