Maps Have Bigger Problems Than the Mercator Projection. They Invent Mountain Ranges and Usually Eliminate New Zealand

Maps have always had problems. Five hundred years ago, maps were wildly inaccurate simply because cartographers were drawing the edge of the known world, limited by slow ships and nonexistent satellite data, resulting in continents that were too large, too small, or entirely misplaced. All of those problems have been solved thanks to new technology, but now there are new ones. Even though we know the exact dimensions of Earth, our maps are still "wrong" because we force a three-dimensional globe onto a flat surface, leading to mathematical distortions like the Mercator projection, which wildly exaggerates the size of landmasses near the poles. One map that tries to correct the Mercator projection's distortion of landmass sizes is the Gall-Peters projection, but to achieve this size accuracy, it severely stretches and distorts shapes, particularly near the poles, making Alaska look like a whirlpool or expanding pinwheel. To make it even more confusing, there are maps that were deliberately tweaked to hide government secrets or those drawn with junk data just to trick an enemy into giving up territory. But for today’s guests,  Jay Foreman and Mark Cooper-Jones, they enjoy these sort of cartographic oddities. They are the authors of “This Way Up: When Maps Go Wrong and Why it Matters.”  We discuss all sorts of maps that went wrong—from the infamous Mountains of Kong—a completely made-up mountain range that ran East-West across the entire African continent--to colonial maps with mathematically impossible borders and US states with fake cities. We also discuss The frequent omissions of New Zealand on maps that use the Mercator projection Maps that will land you in prison depending on which countries claim certain territories Cold War-era Soviet paranoia that falsified virtually all maps for decades on the direct orders of secret police  See omnystudio.com/listener for privacy information.

In the 1800s, it seemed like mathematics was a solved problem. The paradoxes in the field were resolved, and even areas like advanced calculus could be taught consistently and reliably at any school. It was clearly understandable in a way that abstract fields like philosophy weren’t, and it was on its way to solving humanity’s problems. Mathematical work on electromagnetism made modern electrical engineering and power systems possible. New research in algebra created the logical basis for future computer science and digital circuits. But then new problems appeared. In the early 20th century, mathematicians made discoveries that showed them enough to know how little they really knew. Bertrand Russell showed that at its edges, math fell apart. It couldn’t fully define itself on its own terms without becoming logically inconsistent. He gave the analogy of a small-town barber who shaves everyone who doesn't shave himself; the question is, who shaves the barber—if he shaves himself, he breaks the rule, but if he doesn't shave himself, he must, by the rule, shave himself?  In today’s episode, I’m speaking to Jason Bardi, author of The Great Math War: How Three Brilliant Minds Fought for the Foundations of Mathematics and we explore the story of three competing efforts by mathematicians to resolve this crisis. What do you do if math, the most logical of all sciences, becomes illogical at a certain point? Bertrand Russell thought the problem could be solved with even more logic, we just hadn’t tried hard enough. David Hilbert thought redemption lay in accepting mathematics as a formal game of arbitrary rules, no different from the moves and pieces in chess. And L. E. J. Brouwer argued math is entirely rooted in human intuition—and that math is not based on logic but rather logic is based on math. Set against the backdrop of one of the most turbulent periods of European history (from the late 19th century through World War I, the 1920s, the Great Depression, and the early days of World War II), we look at what happens when rock-solid truths don’t seem so rock solid anymore.See omnystudio.com/listener for privacy information.

The Battles of Lexington and Concord in April 1775, known as the "shot heard round the world," marked the first military engagements of the American Revolution. Ralph Waldo Emerson named it that because it launched revolutionary movements in Europe and beyond, marking it as a key moment in the fight for liberty and self-governance. But this moment was global in more ways than inspiring other nations. The quest for independence by the 13 North American colonies against British rule rapidly escalated into a worldwide conflict. The Patriots forged alliances with Britain’s key adversaries—France, Spain, and the Netherlands—securing covert arms supplies initially, which evolved into open warfare by 1779. French and Spanish naval campaigns in the Caribbean diverted British forces from North America to defend valuable sugar colonies, while American privateers disrupted British trade, bolstering the rebel economy. All of this international involvement was promoted by the Founding Fathers, because the Declaration of Independence was translated into French, Spanish, Dutch, and other languages and distributed by them across Europe to garner sympathy and support from nations like France and the Netherlands. Spain’s separate war against Britain in Florida and South America, alongside French efforts to spark uprisings in British-controlled India, further strained Britain’s ability to quash the rebellion. Post-independence, the consequences rippled globally: Britain and Spain tightened their grip on remaining colonies, Native American tribes faced heightened land encroachments due to the loss of British protections, and enslaved African Americans who fought for Britain, lured by promises of freedom, were relocated to Nova Scotia and later Sierra Leone. To explore this new framework of the Revolutionary War is today’s guest, Richard Bell, author of “The American Revolution and the Fate of the World.”See omnystudio.com/listener for privacy information.

The brain acts in strange ways during wartime.  Even in active combat situations, when soldiers are one mistake away from death, many can’t fire on their enemies because their brain is triggering compassion centers against other soldiers. Studies of World War II show that while soldiers were willing to risk death, only 15% to 20% fired their weapons in intense combat, indicating a reluctance to kill. That’s why successful military leaders were able to motivate their soldiers with ideas of unfairness and justice, that their enemies weren’t human to make them better at fighting and killing. All this goes to show that if you want to understand war, you have to understand how the brain makes sense of it. Does war make all of us retreat to our lizard brain and act on pure instinct – so the only way to win is pumping out manipulative propaganda to the masses and use modern technologies like AI and social media exploit the brain's cognitive vulnerabilities? Well, many nations like Russia and China are already using these to their advantage.  Or can we bring higher thinking to the matter? Is a researcher like Robert Sapolsky right when he argues that we can stop wars by persuading enough people that it is bad and pointless. Today’s guest is Nicholas Wright, author of “Warhead: How the Brain Shapes War and War Shapes the Brain.”  He’s a neuroscientist and advisor to the Pentagon. We explore how our brains respond under pressure and how these instincts can shape everything from battlefield outcomes to boardroom decisions. He argues that while conflict is inevitable, it’s not unmanageable - if we understand how the brain drives fear, trust, aggression, and judgment.See omnystudio.com/listener for privacy information.

William F. Buckley Jr., the charismatic intellectual who defined modern American conservatism, was famously skilled at forging friendships across the ideological divide, a talent that helped him both shape the political landscape and navigate public opinion. His capacity for personal charm allowed him to be a public extremist and a private moderate, keeping him in the good graces of the liberal elite, including figures like Senator George McGovern and activist Allard Lowenstein, even as he worked to advance his conservative agenda; however, this magnanimity had its limits, most famously with his true enemy, Gore Vidal. Today's guest is Josh Cohen, author of William F. Buckley Jr.'s Guide to Friendship in a Polarized Era, and we explore how this patrician gatekeeper of the right strategically used ideological "frenemies" and acquaintances, such as the surprising connection with Hugh Hefner, to legitimize his movement and advance his influence, culminating in the infamous, televised confrontation with Gore Vidal that exposed how even Buckley's renowned decorum shattered when his core beliefs were challenged.See omnystudio.com/listener for privacy information.

The Collapse of the Soviet Union was twice as devastating as the Great Depression for those who lived there. It immediately led to widespread economic chaos and a breakdown of public services, plunging millions into a difficult period where mere survival was the priority. As one Russian described, after hyperinflation wiped out their family's savings, "my parents still had the same 50,000 rubles... But by then, all they could afford to buy with it was a pair of winter boots for my mother." There was optimism that democracy could emerge, but thirty years after the collapse of the USSR, the victory over totalitarianism feels alarmingly short-lived, with the unresolved unraveling of the Soviet empire now directly fueling global crises like the war in Ukraine. The people currently in power in Russia, belonging to what some call the last Soviet generation--meaning they absorbed Soviet culture but not Soviet faith--carry a deep, cynical disbelief in democracy and human rights, demonstrating how the core structures of empire remain entrenched in the governing forces today. Today's guest is Mikhail Zygar, author of The Dark Side of the Earth: Russia's Short-Lived Victory Over Totalitarianism, and we explore his decade-long investigation, drawing on hundreds of never-before-public interviews with figures like Mikhail Gorbachev, the first leaders of post-Soviet republics, and democracy activists, to reveal how the USSR's demise was primarily driven by a collapse of faith in communist ideals, and we examine the parallel it creates for liberal democracy today.See omnystudio.com/listener for privacy information.

From Shakespeare's 'band of brothers' speech to its appearances in numerous films, Agincourt rightfully has a place among a handful of conflicts whose names are immediately recognized around the world. The Battle of Agincourt, fought in 1415, is famous for the decisive role of the English and Welsh longbowmen, who—despite being significantly outnumbered and exhausted—decimated the heavily armored French nobility with volleys of arrows. This unlikely victory was profoundly important because it not only paved the way for King Henry V to be named heir to the French throne via the Treaty of Troyes, but it also demonstrated the waning dominance of the medieval knight in warfare.Today’s guest is Michael Livingston, author of “Agincourt: Battle of the Scarred King.” We go back to the original sources, including the French battle plan that still survives today, to give a new interpretation, one that challenges the traditional site of the battlefield itself. The English victory at Agincourt on October 25, 1415, was a result of strategic brilliance, terrain advantage, and the devastating effectiveness of the longbow, combined with French tactical errors. Henry V’s smaller army, roughly 6,000-9,000 men (mostly longbowmen), faced a French force of 12,000-36,000, including heavily armored knights.See omnystudio.com/listener for privacy information.

J.P. Morgan, John D. Rockefeller, and Charles E. Mitchell are names that come to mind when thinking of the most prominent icons of wealth and influence during the Roaring Twenties. Yet the one figure who has escaped notice is an enigmatic banker by the name of Clarence Dillon. In the 1920s, as he rose in wealth and influence, Dillon became one of the original behind-the-scenes players in Hollywood, and his contact list included everyone from Thomas Edison to Charlie Chaplin and Joseph P. Kennedy to FDR. A revolutionary in finance, Clarence Dillon single-handedly created modern bankruptcy law, pioneered leveraged buyouts, invented junk bonds, and engineered some of the biggest mergers and acquisitions ever seen. His firm engineered the 1925 buyout of Dodge Brothers Company for $146 million in cash, then the largest such industrial transaction in history, which resulted in the company's merger with Chrysler Corporation in 1927 Today’s guest is William Loomis, author of “The Baron of Wall Street.” We look at Dillon and his life, which fills a void in how we view the wild excesses of the Roaring Twenties, and how we understand the increasingly complex nexus between Wall Street and political power in our own time.See omnystudio.com/listener for privacy information.

The American Indian leader Wakara was among the most influential and feared men in the nineteenth-century American West. He and his pan-tribal cavalry of horse thieves and slave traders dominated the Old Spanish Trail, the region’s most important overland route. They widened the trail and expanded its watering holes, reshaping the environmental and geographical boundaries of the region. They also exacted tribute from travelers passing along the trail and assisted the trail’s explorers with their mapmaking projects—projects that shaped the political and cultural boundaries of the West. What’s more, as the West’s greatest horse thief and horse trader as well as the region’s most prolific trader in enslaved Indians, Wakara supplied Spanish, Mexican, and Anglo-American settlers from Santa Fe to San Bernardino with the labor and horsepower that fueled empire and settler colonial expansion as well as fueled great changes to the West’s environmental landscape.Today’s guest is Max Mueller, author of of Wakara’s America: The Life and Legacy of a Native Founder of the American West. We look at his complex and sometimes paradoxical story, revealing a man who both helped build the settler American West and defended Native sovereignty. Wakara was baptized a Mormon and allied with Mormon settlers against other Indians to seize large parts of modern-day Utah. Yet a pan-tribal uprising against the Mormons that now bears Wakara’s name stalled and even temporarily reversed colonial expansion. Through diplomacy and through violence, Wakara oversaw the establishment of settlements, built new trade routes, and helped create the boundaries that still define the region. See omnystudio.com/listener for privacy information.

Rome began as a pagan, Latin-speaking city state in central Italy during the early Iron Age and ended as a Christian, Greek-speaking empire as the age of gunpowder dawned. Everything about it changed, except its Roman identity. This was due to a unique willingness among Romans to include new people as citizens, an openness to new ideas, and an unparalleled adaptability that enabled Romans to remake every aspect of their society in ways that made it stronger and more resilient. Romans, who believed that their city was originally settled by exiles and captives, found a balance between the embrace of new people and ideas and a conservative attachment to the core features that had traditionally defined Roman society. Roman history is a story of 80 generations of Romans who deftly challenged the rules governing their lives—and usually did so without overturning the institutions that made them safe and prosperous. In an age when people around the world are increasingly looking to charismatic leaders promising to scrap the rules governing modern states, Rome shows why states that want to endure should be repelled by the sudden, unpredictable jolts such characters provide. To explore this topic with us is today’s guest, Edward J. Watts, author of “The Romans: A 2000-Year History.” Rather than collapse, Watts shows how Rome endured, evolved, and redefined itself for two thousand years—from the Punic Wars to the Crusades, and from Augustus to Constantine to Charlemagne.See omnystudio.com/listener for privacy information.