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mathematics

John Dee

John Dee 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 Dee rather than just read about it. In short: John Dee (13 July 1527 – December 1608 or March 1609) was an English mathematician, astronomer, teacher, astrologer, occultist, and alchemist. He was the court astronomer for, and advisor to, Elizabeth I, and spent much of his time on alchemy, divination, and Hermetic philosophy.

John Dee — main illustration
John Dee — illustration

Key takeaways

  • John Dee 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 Dee to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of John Dee from memory before moving on to harder problems.

Reference excerpt

John Dee (13 July 1527 – December 1608 or March 1609) was an English mathematician, astronomer, teacher, astrologer, occultist, and alchemist. He was the court astronomer for, and advisor to, Elizabeth I, and spent much of his time on alchemy, divination, and Hermetic philosophy. As an antiquarian, he had one of the largest libraries in England at the time. As a political advisor, he advocated the foundation of English colonies in the New World to form a "British Empire", a term he is credited with coining. Dee eventually left Elizabeth's service and went on a quest for knowledge of the occult and supernatural. He aligned himself with several individuals who may have been charlatans, travelled through Europe, and was accused of spying for the English Crown. Upon his return to England, he found his home and library vandalised. He eventually returned to the Queen's service, but was turned away when she was succeeded by James I. He died in poverty in London, and his gravesite is unknown.

Biography

Early life Dee was born in Tower Ward, London, to Rowland Dee, of Welsh descent, and Johanna, daughter of William Wild. His surname "Dee" is an anglicisation of Welsh du (black). His grandfather was Bedo Ddu of Nant-y-groes, Pilleth, Radnorshire; John retained his connection with the locality. His father, Roland, was a mercer (cloth merchant) and gentleman courtier to Henry VIII. Dee traced descent from Rhodri the Great, 9th-century ruler of the Kingdom of Gwynedd, and constructed a pedigree accordingly. His family had arrived in London around the time of Henry Tudor's coronation as Henry VII. Dee attended Chelmsford Chantry School (now King Edward VI Grammar School, Chelmsford) from 1535 to 1542. He entered St John's College, Cambridge, in November 1542, aged 15, graduating with a BA in 1545 or early 1546. His abilities recognised, he became an original fellow of Trinity College, Cambridge, upon its foundation by Henry VIII in 1546. At Trinity, he designed stage effects for a production of Aristophanes's Peace. Using pulleys and mirrors, Dee created the illusion of "the Scarabeus flying up to Jupiter's palace" in a mechanical contrivance, possibly based on rediscovered classical techniques. Dee would later claim this to be the source of his reputation as a magician. In the late 1540s and early 1550s, he travelled around Europe, studying at the Old University of Leuven (1548). He studied under Gemma Frisius and became friends with the cartographers Gerardus Mercator and Abraham Ortelius. Dee also met, worked with and learnt from other continental mathematicians, such as Federico Commandino in Italy. He returned to England with a major collection of mathematical and astronomical instruments. In 1552, he met Gerolamo Cardano in London, with whom he investigated a purported perpetual motion machine and a gem supposed to have magical properties.

Working life Rector at Upton-upon-Severn from 1553, Dee was offered a readership in mathematics at Oxford University in 1554 but declined it, citing as offensive English universities' emphasis on rhetoric and grammar (which, together with logic, formed the academic trivium) over philosophy and science (the more advanced quadrivium, composed of arithmetic, geometry, music and astronomy). He was busy with writing and perhaps hoped for a better position at court. On 17 February 1554, Dee took Catholic orders in the midst of the Marian reaction. The Catholic bishop Edmund Bonner, likely already a close friend of Dee's at this point, gave him special permission to receive all of the holy orders from first tonsure to priesthood in only a single day. In 1555, Dee joined the Worshipful Company of Mercers, as his father had, through its system of patrimony. In that same year, Dee was arrested and charged with "lewd and vain practices of calculating and conjuring" because he had cast horoscopes of Mary I of England and Princess Elizabeth. The charges were raised to treason against Mary. Dee appeared in the Star Chamber and exonerated himself, but he was turned over to Bonner for religious examination. His strong, lifelong penchant for secrecy may have worsened matters. The episode was the most dramatic in a series of attacks and slanders that dogged Dee throughout his life. At some point, possibly before his charges were officially dismissed, Dee became Bonner's chaplain. In some early editions of John Foxe's Acts and Monuments, Dee, as Bonner's chaplain, is recorded debating the real presence of Christ in the Eucharist with Protestant prisoner Robert Smith (who accused Dee of Marcionism because his argument in favor of transubstantiation rested on the idea that Jesus possessed only a spiritual body) and participating in the seventh examination of John Philpot. Dee presented Queen Mary in 1556 with a visionary plan to preserve old books, manuscripts, and records and to found a national library, but it was not taken up. Instead, he expanded his personal library in Mortlake, acquiring books and manuscripts in England and on the Continent. Dee's library, a centre of learning outside the universities, became the greatest in England and attracted many scholars.

… excerpt ends here. Continue reading the full article.

Illustrations

John Dee illustration
John Dee: Dee's glyph, whose meaning he explained in Monas Hieroglyphica
Dee's glyph, whose meaning he explained in Monas Hieroglyphica
John Dee: The "Seal of God", British Museum
The "Seal of God", British Museum
John Dee: Edward Kelley
Edward Kelley
John Dee: John Dee memorial plaque installed in 2013 inside the church of St Mary the Virgin, Mortlake
John Dee memorial plaque installed in 2013 inside the church of St Mary the Virgin, Mortlake

Worked examples

Example 1 — a first encounter with John Dee

Start with the simplest possible case. Write down what John Dee 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 Dee 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 Dee 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 Dee

In research
John Dee 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 Dee 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 Dee is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1527 births, 1600s deaths, 16th-century English astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for John Dee 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 Dee in 20 minutes

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

Frequently asked questions

What is John Dee in simple terms?

John Dee (13 July 1527 – December 1608 or March 1609) was an English mathematician, astronomer, teacher, astrologer, occultist, and alchemist. He was the court astronomer for, and advisor to, Elizabeth I, and spent much of his time on alchemy, divination, and Hermetic philosophy.

Why does John Dee 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 Dee?

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 Dee.

Tags

  • 1527 births
  • 1600s deaths
  • 16th-century English astronomers
  • 16th-century English mathematicians
  • 16th-century English philosophers
  • 16th-century alchemists
  • 16th-century astrologers
  • 16th-century occultists
  • 17th-century occultists
  • Advocates of colonization
  • Alumni of St John's College, Cambridge
  • Angelic visionaries

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