Categories
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
Fun Stuff Humor

How Elon Musk Paid Off My Friend’s Mortgage

On November 14, 2024, The Onion announced a move that felt straight out of its own pages: it acquired Infowars, during a bankruptcy auction. This surprising twist came after Infowars’ downfall following defamation lawsuits won by families of the Sandy Hook victims. The Onion plans to relaunch Infowars in January 2025 as a parody site—a poetic, and perhaps ironic, reclamation of a space once dominated by misinformation.

Categories
Adventures Media

How to Appreciate a Jukebox Musical: A Review of & Juliet

Today we went to see & Juliet. I didn’t know much about it beforehand, only that it was supposed to be good for familes, so it seemed like a good choice for an outing with the kids. A couple of days ago, though, I found out it was a jukebox musical—a genre that pulls its soundtrack from popular songs rather than creating original compositions for the show. Think Mamma Mia! or Moulin Rouge, stories told through songs you likely already know. When I realized this, I knew I’d need to adjust my expectations.

Categories
Kids

The SHSAT Debate: Excellence vs. Equity

Last week, New York City’s Specialized High School Admissions Test (SHSAT) took place—a single exam with the power to determine entry into the city’s most prestigious high schools. For years, this test has sparked fierce debate: is it an equalizer, giving all students a shot at academic excellence, or a gate that keeps out minority students and prevents equity? With Black and Latino students making up 68% of NYC’s public school population but only about 10% of those admitted to specialized high schools, many see the SHSAT as a symbol of the system’s failures.

Categories
Human Behavior Ideas Life Lessons

Skin in the Game

Making good decisions isn’t easy, especially when it’s hard to know what information to trust. In an ideal world, we could trust the information we hear from friends and from the news. But the media likes to cover the rare and shocking, not the common and routine. A plane crash halfway around the world (a highly uncommon occurance) can seem as likely as a car accident down the street. This distortion skews our perspective, creating a big gap between what we think is likely and what actually is.

Nassim Nicholas Taleb has a smart way of knowing what really matters—he calls it “Skin in the Game.” In his book by the same name, Taleb explains that people with something at stake usually offer the best information. It’s simple: when you stand to lose, you’re going to think carefully. But when you’re insulated from the consequences, it’s easy to toss around advice or make bold predictions because they sound good, not because they’re giong to work.

Categories
Life Lessons Meditation

The Case Against Empathy


Paul Bloom’s book, Against Empathy, challenged a core belief of mine: that empathy is inherently good. He writes about how empathy, which feels so natural and kind, sometimes sends us down the wrong path.

Recently, meditation has brought me closer to the world around me. In moments of stillness, I feel in tune with the natural flow, sensing life unfolding nearby. I’ll notice a squirrel darting up a tree or feel a butterfly gently landing on my shoulder. These encounters reveal a hidden beauty in the world that I hadn’t noticed before.

One day, during a particularly quiet moment in the garden, I found myself watching an insect slowly chewing through a leaf, leaving behind a pattern almost like lace. It reminded me of the dying autumn leaves, those vibrant bursts of orange and red signaling the close of summer. I began empathizing with the insect, appreciating not just its role in nature but also the beautiful art it created. I even started to feel guilty about all of the murderous humans destroying them with pesticides.

Categories
ChatGPT

The Day the Turing Test Died: Examining the “Humanity” of AI

In the past, the Turing Test was used as a measure of artificial intelligence. This was a test of whether a computer could fake being human.

We don’t do this anymore. Here’s the reason why.

Categories
Adventures

Mets Game 5: You Just Gotta Believe

You Just Gotta Believe

That’s the line that’s burned into every Mets fan’s heart. Being a Mets fan means living with disappointment, yet we keep coming back, asking for more. But sometimes, things break our way, making the victory that much sweeter.

Friday night we went to Game 5 of the playoffs. It was different from any other baseball game I’d ever attended. Usually, I tried a baseball game like casual picnic, where what I eat is almost as important as the score at the end.

But not this game. Friday’s game was intense. As we got off the subway, the crowd roared “Let’s Go Mets!” on the way to the stadium. Everyone was decked out in their finest Mets gear. We looked like we were attending a Mets-themed wedding. We were immersed in a world of superfans.

Categories
Judaism

Yom Kippur Meditation: The Beauty of Forgiveness

Summary: Today was Yom Kippur, the Jewish day of atonement. The holiday focuses on acknowledging sins over the past year and seeking forgiveness. Initially, I felt guilt for my mistakes, but I realized that guilt is heavily shaped by Western Christian culture, where mistakes often carry a sense of finality and require divine salvation. In contrast, Judaism views mistakes as part of the human experience and emphasizes teshuva—the process of repentance, repair, and moving forward. This approach is more freeing, encouraging growth and improvement without being trapped by guilt, offering a healthier path toward personal renewal.

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.