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The Polymath

The Polymath 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 The Polymath rather than just read about it. In short: The Polymath: Unlocking the Power of Human Versatility is a non-fiction book by British author Waqas Ahmed, first published in 2018. It argues that specialisation in education and workplaces stifles human curiosity and human potential which naturally transcend subject areas, and that professional institutions have erected walls to keep outsiders out.

The Polymath — main illustration
The Polymath — illustration

Key takeaways

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

Reference excerpt

The Polymath: Unlocking the Power of Human Versatility is a non-fiction book by British author Waqas Ahmed, first published in 2018. It argues that specialisation in education and workplaces stifles human curiosity and human potential which naturally transcend subject areas, and that professional institutions have erected walls to keep outsiders out. Ahmed argues that a new approach — one which recognises and fosters versatility — is urgently needed in the modern world. He writes that this would help people both to lead more fulfilling lives and to develop solutions to complex, multi-dimensional problems. The book draws on historical, psychological, and neuroscientific research and profiles living and historical polymaths from many cultures. The cover image of the book is Leonardo da Vinci’s Vitruvian Man—a drawing depicting ideal human bodily proportions based on Leonardo’s interpretation and revision of the aesthetic theories of the Roman architect Vitruvius—as Leonardo is sometimes considered the prototypical renaissance man.

Background The author Waqas Ahmed is an interdisciplinary scholar, artist, and curator. He is a visiting fellow at the Open University Business School and a faculty member at the London Interdisciplinary School. He is also the former artistic director of the Khalili Collections and the current executive director of the Khalili Foundation. With degrees in economics, international relations and neuroscience, he has previously worked as a diplomatic journalist and editor (editing reports of the Commonwealth Heads of Government Meetings), investment analyst, and fitness trainer. His initial interest in polymathy was spurred by the way university and his early career pressured him to choose between his multiple interests. His diplomatic career and study of international relations involved a lot of travel, including to cultures in which specialisation was not treated as a default. This led to him studying Western culture's emphasis on specialisation and its polymathic alternatives. He noticed that there was no book-length treatment of the topic of polymathy in English. Ahmed spent five years writing the book, while doing postgraduate research in neuroscience.

Summary

The prologue is by the Oxford University professor Martin Kemp, author of many books on the Renaissance polymath Leonardo da Vinci. He has been cited as a leading expert on the topic. Ahmed takes as his definition of "polymath" those who have made significant contributions to at least three different fields. Rather than seeing polymaths as exceptionally gifted, he argues that every human being has the potential to become one: that people naturally have multiple interests and talents. He contrasts this polymathic nature against what he calls "the cult of specialisation", claiming that education systems stifle this nature by forcing learners to specialise in narrow topics. The book argues that specialisation encouraged by the production lines of the Industrial Revolution is counter-productive both to the individual and wider society. It argues that the complex problems of the 21st century need the versatility, creativity, and broad perspectives characteristic of polymaths.

For individuals, Ahmed says, specialisation is dehumanising and stifles their full range of expression whereas polymathy "is a powerful means to social and intellectual emancipation" which enables a more fulfilling life. In terms of social progress, he argues that answers to specific problems often come from combining knowledge and skills from multiple areas, and that many important problems are multi-dimensional in nature and cannot be fully understood through one specialism. Rather than interpreting polymathy as a mix of occupations or of intellectual interests, Ahmed challenges the dichotomies between "thinkers" and "doers" and between art and science. He argues that an orientation towards action and towards thinking support each other, and that human beings flourish by pursuing a diversity of experiences as well as a diversity of knowledge. He observes that successful people in many fields have cited hobbies and other "peripheral" activities as supplying skills or insights that helped them succeed. Ahmed examines evidence suggesting that the developing of multiple talents and perspectives is helpful for success in a highly specialised field. He cites a study of Nobel Prize–winning scientists which found them 25 times more likely to sing, dance, or act than average scientists. Another study found that children scored higher in IQ tests after having drum lessons, and he uses such research to argue that diversity of domains can enhance a person's general intelligence. Ahmed cites many historical claims for the advantages of polymathy. Some of these are about general intellectual abilities that polymaths apply across multiple domains. For example, Aristotle wrote that full understanding of a topic requires, in addition to subject knowledge, a general critical thinking ability that can assess how that knowledge was arrived at. Another claimed advantage of a polymathic mindset is in the application of multiple approaches to understanding a single issue. Ahmed cites the biologist E. O. Wilson's view that reality is approached not by a single academic discipline but via a consilience between them. One argument for studying multiple approaches is that it would lead to open-mindedness. Within any one perspective, a question may seem to have a straightforward, settled answer. The argument presented is that someone aware of different, contrasting answers will be more open-minded and aware of the limitations of their own knowledge. The importance of recognising these limitations is a theme that Ahmed finds in many thinkers, including Confucius, ʿAlī ibn Abī Ṭālib, and Nicolas of Cusa. He calls it "the essential mark of the polymath." A further argument offered for multiple approaches is that a polymath does not see diverse approaches as diverse, because they see connections where other people see differences. For example, Leonardo da Vinci advanced multiple fields by applying mathematical principles to each. Throughout the book there are short profiles of historical and living polymaths from many cultures and historical periods, including Aristotle, Nasir al-Din al-Tusi, Ban Zhao, Suleiman the Magnificent, and Florence Nightingale. One chapter is based on interviews with living polymaths.

… excerpt ends here. Continue reading the full article.

Illustrations

The Polymath illustration
The Polymath: Martin Kemp, author of the book's prologue
Martin Kemp, author of the book's prologue
The Polymath: Author Waqas Ahmed signing a copy of the book during its launch at the National Gallery
Author Waqas Ahmed signing a copy of the book during its launch at the National Gallery
The Polymath illustration
The Polymath illustration

Worked examples

Example 1 — a first encounter with The Polymath

Start with the simplest possible case. Write down what The Polymath 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 The Polymath 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 The Polymath 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 The Polymath

In research
The Polymath 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 The Polymath 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
The Polymath is common in secondary-school and first-year university syllabi. It links to neighbouring topics 2018 non-fiction books, Books about creativity, Books about human intelligence, so understanding it makes those chapters shorter.
In everyday life
Look for The Polymath 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 The Polymath in 20 minutes

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

Frequently asked questions

What is The Polymath in simple terms?

The Polymath: Unlocking the Power of Human Versatility is a non-fiction book by British author Waqas Ahmed, first published in 2018. It argues that specialisation in education and workplaces stifles human curiosity and human potential which naturally transcend subject areas, and that professional i…

Why does The Polymath 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 The Polymath?

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 The Polymath.

Tags

  • 2018 non-fiction books
  • Books about creativity
  • Books about human intelligence
  • Educational psychology books
  • English non-fiction books
  • Intellectual history
  • Wiley (publisher) books

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