Podcast Script

Welcome back to the LL Study Guide podcast, your quick audio review for another match day. Today we’re talking through match day nine from season one oh nine.

As always, if you want the full write up, with links, names, and a little more depth, you can check the study notes on our website at L L Study Guide dot com. Think of this episode as your friendly recap while you’re commuting, walking the dog, or doing the dishes.

We’ve got six questions today, covering algebra notation, Polish comfort food, global geography, grammar, architecture, and British TV. Let’s dive right in.

QUESTION ONE

Here’s the first question, exactly as it was asked:

While he didn’t invent the idea, the convention in algebra of using late alphabet letters (x,y,z) for unknowns and early letters (a,b,c) for known constants is largely credited to what Frenchman, and specifically his sixteen thirty seven work La Géométrie?

The answer is: René Descartes.

So this is the same Descartes you probably know from philosophy class, the “I think, therefore I am” guy, but here we’re in his math mode.

La Géométrie was an appendix to his work Discourse on the Method, published in sixteen thirty seven. In it, Descartes lays out analytic geometry, which is basically the marriage of algebra and geometry. Instead of just drawing shapes and doing classical constructions, he says, “Let’s put these shapes on a grid and describe them with equations.” That grid, with x and y axes, is what we now call the Cartesian coordinate system, named after him.

He didn’t invent the idea of using letters in algebra. Earlier, in the fifteen nineties, François Viète had already been using letters systematically, with one scheme for knowns and another for unknowns. But Descartes is the one who popularized the pattern that stuck: early letters like a, b, c for given constants, and the late letters x, y, z for unknowns.

One fun story, which may or may not be literally true, is about printers. The tale goes that his printer supposedly had plenty of metal type for the letter x, so it was convenient to use. Whether or not that’s the real reason, it’s a nice reminder that even very abstract conventions can be shaped by practical constraints like printing technology.

The impact of this choice is everywhere. Any time you see a graph with an x axis and a y axis, anytime you see an equation like y equals m x plus b, you’re seeing Descartes’s way of thinking. Modern computer graphics and game engines depend on those same x and y coordinates underneath the hood. When you drag a character across a screen, you’re changing its x and y values in a Cartesian grid.

And of course, Descartes the philosopher shows up all over pop culture too, especially his “cogito, ergo sum” line, “I think, therefore I am.” It gets quoted in comedy sketches, in anime like Ergo Proxy, and in science fiction, including nods in films that ask what it means to be conscious or human.

If you want references for Viète, Descartes, and how analytic geometry developed, check the study notes on the website. There’s a nice chain there from early algebra to modern computer graphics.

Alright, from the world of x, y, and z, we head to something a lot more delicious.

QUESTION TWO

Here’s question two:

A traditional Polish “hunter’s stew” consisting of sauerkraut, fresh cabbage, and assorted meats such as beef, pork, and kiełbasa, which is cooked slowly at a simmer for several hours and is widely considered the national dish of Poland, is known by what five-letter name?

The answer is: bigos.

Bigos is spelled B I G O S, and pronounced roughly like “BEE-goss.” It’s a hearty Polish stew built on sauerkraut and fresh cabbage, with a mix of meats. Pork, beef, bacon, smoked sausage like kiełbasa, sometimes game meats, all go into the pot. Traditionally it simmers for hours and is reheated over several days. People will tell you it actually tastes better the second or third day, once the flavors really meld.

Sauerkraut, remember, is cabbage that’s been fermented, so it brings a sour, tangy flavor, while the fresh cabbage and meats give body and richness. Cooks often add extras like mushrooms, prunes, or apples to balance the acidity with a bit of sweetness.

Bigos is often called Poland’s national dish, and it isn’t just a food thing. It’s part of Polish cultural identity. One of the coolest details is its appearance in literature. The nineteenth century poet Adam Mickiewicz writes about bigos in Pan Tadeusz, which is often described as the Polish national epic. He gives this loving description of the stew’s smell and taste, right in the middle of this grand poem about the Polish–Lithuanian nobility and their world. So you have this humble hunter’s stew elevated into high culture.

Historically, it really was associated with hunting. You’d have nobles and hunters in the forest, cooking big pots of bigos over a fire, using whatever game they caught and preserved sauerkraut that traveled well. It’s genuinely a dish born of the forest and winter.

If you have Polish heritage or live near a Polish neighborhood, bigos might be one of those dishes that just shows up after holidays, when people have leftover meats and want something warm and comforting.

In the study notes on our website, we link to some recipes and a couple of pieces that dig into its history and Mickiewicz’s poem. If you’re curious to make it or just want a mental picture that will help you remember the name, those are worth a look.

From Polish stew, let’s zoom way out to the map.

QUESTION THREE

Here’s question three:

Municipalities on Great Bermuda, in Ontario, Canada, and on New Zealand’s North Island all share what name, though each is named after a different individual, none of whom was a U.S. Founding Father?

The answer is: Hamilton.

So the trick here is the bit about “none of whom was a U.S. Founding Father.” That’s pushing you away from Alexander Hamilton, who does have plenty of places named after him in the United States, and toward the idea that the same name can honor different people in different places.

Let’s break down the three cities.

First, Hamilton in Bermuda. Great Bermuda, also called the Main Island, is the largest island in the territory. The city of Hamilton there is the capital of Bermuda, laid out in the seventeen nineties and incorporated in seventeen ninety three. It’s named for Sir Henry Hamilton, a colonial governor, not the American Hamilton. Today it’s a major port and a familiar cruise ship destination.

Second, Hamilton, Ontario, in Canada. That one sits at the western end of Lake Ontario, in the region known as the Golden Horseshoe. It’s named for George Hamilton, a local landowner who planned out the town after the War of eighteen twelve. Historically, it became a big industrial and steel-producing city. In recent years, it has also become a popular film and TV shooting location, often standing in for American cities.

Third, Hamilton in New Zealand, on the North Island. That was named after Captain John Fane Charles Hamilton, a British naval officer who was killed in eighteen sixty four in the Battle of Gate Pā during the New Zealand Wars. The land itself had long been Māori land, with settlements like Kirikiriroa. In recent years, there has been debate about the colonial naming, and the city removed a statue of Captain Hamilton in twenty twenty. There’ve also been calls to restore the Māori name Kirikiriroa.

So three Hamiltons, three different people, and that explicit “not a U.S. Founding Father” clue to shake you out of the musical and Broadway association.

The broader pattern here is colonial naming. Governors, land speculators, military officers — their names get attached to cities all over the map. If you’re into that mix of geography and history, the study notes list some sources about these three Hamiltons and about debates over renaming and decolonizing public space.

Now, let’s switch from names on a map to tiny words in sentences.

QUESTION FOUR

Here’s question four:

In the sentences “I wish I were in love again” and “The rule requires that he be present”, the verbs were and be are examples of what grammatical mood?

The answer is: the subjunctive.

So in “I wish I were in love again,” that word “were” is not just past tense. It’s the past subjunctive, used for a wish that’s contrary to reality. You’re not in love right now; you’re imagining a different situation.

In “The rule requires that he be present,” that “be” is the present, or mandative, subjunctive. It’s bare, without “is” or “should be.” It follows a verb expressing necessity or requirement.

Grammatical mood is just about how the verb relates to reality. The indicative is for statements of fact: “He is here.” The imperative is for commands: “Be here.” The subjunctive covers wishes, hypotheticals, demands, or things that are not necessarily real: “I wish he were here,” or “The rule requires that he be here.”

In modern English, the subjunctive is kind of a ghost. It’s still there, but mostly in set patterns, which is why it makes good quiz material. A lot of native speakers say “I wish I was” in everyday speech, but traditional grammar teaching and many style guides still prefer “I wish I were” for counterfactual situations. LearnedLeague likes that older, more formal standard.

If you want some pop culture hooks, think of song titles. Beyoncé’s “If I Were a Boy” uses that same past subjunctive form. So does “If I Were a Rich Man” from Fiddler on the Roof. Those are classic examples of unreal, imagined conditions, exactly what the subjunctive is marking.

The other main place you’ll see this, besides lyrics and old-school grammar books, is legal or formal language: “The law requires that he be present,” “It is essential that the contract be signed,” “The policy insists that all members be notified.” Those bare verbs after “that” are classic present subjunctive forms.

If you’re learning another language like Spanish or French, you’ll run into the subjunctive a lot more. English uses it sparingly, which is why it can feel a little mysterious.

For more example sentences and a quick refresher on mood in general, check the study notes on the site. There are some good references that show how often you see the subjunctive without realizing it.

Next up, we leave grammar and go to a modernist campus in Chicago.

QUESTION FIVE

Here’s question five:

The university that resulted from the merger of the Armour Institute and the Lewis Institute in nineteen forty has long been a center for modern architecture in the United States, with many campus buildings designed by long-time head of the architecture school Ludwig Mies van der Rohe. This university is the Institute of Technology in what state?

The answer is: Illinois.

So the full name is Illinois Institute of Technology, often shortened to Illinois Tech, and it’s in Chicago, Illinois.

The backstory is that in the eighteen nineties, Chicago had two separate institutions: Armour Institute of Technology on the South Side, funded by meatpacking magnate Philip Danforth Armour, and Lewis Institute on the West Side, set up with funds from Allen C. Lewis’s estate. In nineteen forty, those two schools merged to form Illinois Institute of Technology.

Around that same time, a major figure arrives: Ludwig Mies van der Rohe, one of the giants of modern architecture. He emigrates from Germany to the United States in nineteen thirty eight, lands in Chicago, and becomes head of the architecture school. Illinois Tech basically gives him the chance to design an entire campus.

His master plan for the main campus in the Bronzeville neighborhood turns the place into a living catalog of his style. Steel frames, glass walls, simple rectilinear forms, very little ornament. The mantra often associated with him is “less is more,” and you really see that on this campus.

He designed nearly twenty buildings there, which makes Illinois Tech one of the densest collections of his work in the world. The standout is S. R. Crown Hall, which houses the College of Architecture. It’s this elegant, glass-and-steel pavilion with a huge open interior space and the structural supports pushed to the edges, so the inside is a big, flexible studio.

Architectural historians consider Crown Hall one of his masterpieces. It’s a Chicago Landmark and a National Historic Landmark. If you like buildings, a walk through that campus is basically a Mies van der Rohe museum.

There’s also a nice human story behind the school itself. Armour Institute was inspired by what’s known as the “million dollar sermon,” where a Chicago minister, Frank Gunsaulus, preached about the need for a technical school that would be open to all, not just the wealthy. Armour heard that and eventually funded such a school. That’s the seed that grows into Illinois Tech.

In the study notes, you’ll find references on the merger history and links to guides that map out all the Mies buildings on campus. It’s a good one to glance at if you ever find yourself in Chicago and want an architecture walk.

Now, one more question to go, and we’re heading over to British television.

QUESTION SIX

Here’s question six:

Among the regional broadcasters that gradually merged over the decades to form the British television network ITV were two London-based franchises. One was Thames (later replaced by Carlton), and the other LWT. What did the “W” in LWT stand for?

The answer is: Weekend.

L W T originally stood for London Weekend Television.

To unpack that, ITV, the main commercial television network in the U.K., started as a patchwork of regional companies. Each one had a franchise, basically a license to provide programming in a certain area and time slot.

London was a little unusual because it was split not only by region but also by time of week. You had one company handling weekdays and another handling weekends.

From nineteen sixty eight onward, Thames Television held the London weekday franchise, and London Weekend Television held the weekend franchise, from Friday evening through to Monday morning. Later, Carlton replaced Thames for weekdays, and eventually everything got unified under the ITV London brand on air, though the underlying licenses are still technically separate.

LWT made a name for itself with weekend entertainment, drama, and current affairs. It produced big hits like Upstairs, Downstairs, an Edwardian-period drama about an aristocratic family and their servants, often mentioned as a forerunner to shows like Downton Abbey. It was a huge success both in the U.K. and internationally.

It also produced Agatha Christie’s Poirot with David Suchet, which many viewers associate with Sunday night TV, and Weekend World, a serious political program that aired on Sunday lunchtimes. So “weekend” wasn’t just fluff; the slot carried both entertainment and hard news.

If you grew up with British TV in the nineteen eighties or nineties, you probably remember a slate of LWT-branded shows like Blind Date, Gladiators, Surprise Surprise, and others. And you might still hear the LWT ident music in your head — that colorful logo animation with a little jingle, which now lives on in nostalgia compilations.

If you want a deeper dive into how the ITV regional system worked, and some screenshots of those classic LWT idents, check the study notes on our website. There are some great links there for TV history nerds.

WRAP UP

That’s all six questions for match day nine.

We talked about René Descartes and how his La Géométrie gives us x, y, and z, then warmed up with Polish bigos and its place in national culture. We hopped across three different Hamiltons in Bermuda, Canada, and New Zealand, spotted the subjunctive mood hiding in everyday English, walked through Illinois Tech’s modernist campus with Mies van der Rohe, and finished with London Weekend Television and the “W” for Weekend in LWT.

If you’d like to see names, dates, book titles, and all the supporting sources, you can find the full study notes for this match day at L L Study Guide dot com. The notes have more detail than we can fit into a short podcast, plus links out if you want to go down any of these rabbit holes.

Thanks for listening, and for making this part of your daily quiz routine. Come back next time for the next match day, and in the meantime, good luck in your games.