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Science and Math

The Fibonacci Sequence, Brought to You by Fibonacci (and Absolutely No One Else)

If there’s one thing I learned in high school, it’s that math was created by white men. Or at least, that’s how it seemed at the time. Names like Pythagoras, Pascal, and Fibonacci loomed large in my textbooks as if they had singlehandedly invented the building blocks of mathematics. No mention of where these ideas actually came from or the long, complex history behind them—just the neat, tidy story of how white men had supposedly figured it all out.

Take the Fibonacci sequence. I remember being fascinated by its elegance: 0, 1, 1, 2, 3, 5, 8, 13…

Each number builds on the two before it, showing up in nature from sunflower spirals to the curves of seashells. It felt almost magical.

And it was all thanks to this Italian mathematician, Leonardo Fibonacci—or so I was told.

But here’s the thing: Fibonacci didn’t invent it. By the time he wrote about the sequence in Liber Abaci, it was already centuries old.

Uncovering the True Origins of Mathematical Ideas

By the time Fibonacci wrote about the sequence, it had already been described in ancient India. Around 200 BCE, Indian mathematicians like Pingala were using it to analyze patterns in Sanskrit poetry. Later, Virahanka and Hemachandra expanded on it, applying it to combinatorics and other mathematical problems.

This wasn’t just a random observation—it was part of a rich and evolving tradition of mathematical thought.

So how did Fibonacci’s name get attached to it? The answer, as is often the case, is timing. Fibonacci’s Liber Abaci wasn’t just about the sequence; it was an introduction to the Hindu-Arabic numeral system, which he encountered during his travels in North Africa. By bringing these ideas to Europe, Fibonacci made them accessible to a new audience, and in the process, his name became forever linked to a concept he didn’t create.

I don’t blame Fibonacci for this—he wasn’t trying to take credit for the work of others. But the fact that his name stuck, while the names of Pingala, Virahanka, and Hemachandra faded into obscurity, says a lot about how credit is distributed in history.

It’s not just about who made the discovery—it’s about who told the story.

Reclaiming the Stories of Forgotten Pioneers

If we’re serious about recognizing the true pioneers of mathematics, we should go beyond just retelling their stories—we should honor them in the way we name the concepts they created. Imagine learning about the Pingala Sequence instead of the Fibonacci sequence, or studying Yang Hui’s Triangle in place of Pascal’s.

These small but significant changes would give overdue credit to the mathematicians who first discovered these ideas:

• Rename the Pythagorean Theorem to Baudhayana’s Theorem, after the Indian scholar Baudhayana.

• Replace Newton’s Binomial Theorem with Khayyam’s Binomial Expansion, in honor of Persian mathematician Omar Khayyam.

• Honor Brahmagupta’s Formula instead of Heron’s Formula for the area of a triangle.

These aren’t just symbolic changes—they’re a way to correct the historical record and emphasize the global nature of human innovation.

Renaming isn’t about erasing anyone from history. It’s about restoring balance to a narrative that has long skewed toward a select few. By doing so, we open up new ways for students and scholars alike to see mathematics not as the work of a single culture, but as a shared achievement that connects us all.

The Power of a Fuller History

Books like The Secret Lives of Numbers: A Hidden History of Math’s Unsung Trailblazers by Kate Kitagawa and Timothy Revell shed light on these overlooked contributions. The book dives into the rich, multicultural origins of mathematics, unearthing stories of mathematicians who were pushed to the margins of history.

It highlights figures like Pingala and Al-Khwarizmi, whose work laid the foundation for much of what we take for granted in modern math, and explores how cultural biases have shaped the way these achievements are remembered—or forgotten.

What’s powerful about The Secret Lives of Numbers is how it reframes math not as a series of isolated discoveries, but as a deeply interconnected, global endeavor. The book doesn’t shy away from the uncomfortable truth that many of the mathematical ideas we associate with Western figures had roots elsewhere.

It’s a reminder that restoring these stories isn’t just about fairness—it’s about painting a fuller, richer picture of the world we live in.

A Shared Legacy

The next time someone gushes about the Fibonacci sequence, I hope they think of Pingala. It’s a reminder of just how rich and interconnected the history of math really is. Math doesn’t belong to one culture or one group of people—it belongs to all of us. And its history deserves to reflect that.

The Fibonacci sequence is beautiful. But for me, it’s even more beautiful when I know the whole story.

ChatGPT writing note: I left the final edit to ChatGPT on this one. I think it did a pretty good job!

Categories
Science and Math

What is “Normal” Body Temperature?

“Never express yourself more clearly than you can think.” — Niels Bohr

I’ve been reading Ben Orlin’s new book, Math for English Majors. Ben always has a brilliantly philosophical way of looking at numbers and math, and it got me thinking about how we often misunderstand precision.

I’ve always been fascinated by the way we handle precision—how we assume that if we know one number exactly and another is only “about right,” the overall result is still only “about right.” It’s a reminder that even when we want precision, the world often delivers something a little fuzzier.

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Adventures Science and Math

The Beauty of Standards: The Royal Observatory of Greenwich

London, April 27, 2024, 7 PM

Today, our journey took us to the Royal Observatory Greenwich. Much like our visit to Stonehenge, I was drawn to this global landmark. I realized that standing on the Prime Meridian is like no other place in the world. I was neither East nor West, but centered, anchored in global time and space.

Categories
Science and Math

A Biography of Numbers

In the past few years, I’ve seen books written about lots of different things like elements, molecules, and colors. I’m surprised that no one has written a biography of numbers.

Math nerds like me would love this book. I’m thinking it would look like Elements: A Visual Exploration of Every Known Atom in the Universe. Each page would have a fancy drawing of the number with some text.