Financial success and intellectual ability seem like they should go hand in hand. One of the most widely read finance authors argues the connection is surprisingly weak.
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One concept from the 1960s reshaped the entire field of investment management — and most investors still don't fully appreciate what it means for them.
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The Gambling Scholar - Pioneers of Probability: Girolamo Cardano
It's 1550, and a physician in Milan has a problem. He's brilliant — one of the most famous doctors in Europe. He's also broke. Again. Because Girolamo Cardano cannot stop gambling.
Cards, dice, chess — he plays them all, almost every day, for decades. He loses the family estate. He pawns his wife's jewelry. And somewhere between the bad bets and the borrowed money, he starts to notice something. The dice aren't random. Not really. They follow rules.
Welcome to Pioneers of Probability.
This is how Girolamo Cardano Cardano was the first person to treat chance events as objects of systematic mathematical inquiry rather than as the will of fortune. He was the first to write down, clearly and explicitly, that luck has a structure — that you can count possibility and measure chance. That idea was the seed from which the entire edifice of probability theory eventually grew. This is episode two of our 18 part series entitled the Pioneers of Probability. https://t.co/dUsVfIjM0u
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Speed, decisiveness, and quick reactions are prized in most areas of life. Investing, it turns out, tends to reward the opposite.
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The Traveler Who Changed How the World Counts - Pioneers of Probability: Leonardo Fibonacci
He went by at least three names. Leonardo Pisano, because he was born in Pisa. Leonardo Bigollo, a nickname that may have meant either "the traveler" or, depending on who was using it, something closer to "the good-for-nothing." And Fibonacci, the name history settled on. This is how Leonardo Fibonacci changed how the world counts in episode one of our 18 part series entitled the Pioneers of Probability. https://t.co/dUsVfIkjQ2
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Losing £1,000 stings more than gaining £1,000 feels rewarding. That asymmetry isn't a flaw in your character — it's wired into how we all make decisions.
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Pioneers of Probability: Pierre de Fermat
It's the summer of 1654. Two mathematicians in France are exchanging letters about a gambling problem.
One is Blaise Pascal — young, brilliant, already famous. The other is Pierre de Fermat — a magistrate in Toulouse, a lawyer by profession, a mathematician by pure obsession. He holds no university position. He publishes almost nothing. Mathematics is, technically, his hobby.
Together, over a handful of letters written that summer, they will lay the foundations for a new branch of science.
You may know Fermat's name from a different story — the margin note he left in a copy of Arithmetica, claiming a proof he never wrote down, that kept mathematicians searching for 350 years. That story is real. But it isn't this one.
This one is about a question that had frustrated gamblers, merchants, and mathematicians for centuries before Fermat sat down to answer it.
Welcome to Pioneers of Probability. https://t.co/EZJW1KlA6M
We celebrate brilliant stock picks. But research suggests the investor who consistently comes out ahead rarely relies on brilliance at all.
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Most people think saving is about earning more. One of the sharpest writers on money suggests it has far more to do with something else entirely.
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Pioneers of Probability: Galileo Galilei
It's Florence, around 1620. The grand duke's courtiers are arguing — again — about dice.
Specifically, why a total of ten seems to come up more often than a total of nine.
It makes no sense to them. Both totals can be made from exactly six combinations of three numbers. Six and six. Equal. So why does ten keep winning?
They bring the question to the one of the most renowned thinkers in all of Italy — Galileo Galilei. Yes, that Galileo. The one with the telescope. But today he's not looking at the stars. He's looking at dice. And what he finds will reveal something uncomfortable about the way all of us think about chance.
Welcome to Pioneers of Probability. https://t.co/L27kA4mmO9
Pioneers of Probability: Girolamo Cardano
It's 1550, and a physician in Milan has a problem. He's brilliant — one of the most famous doctors in Europe. He's also broke. Again. Because Girolamo Cardano cannot stop gambling.
Cards, dice, chess — he plays them all, almost every day, for decades. He loses the family estate. He pawns his wife's jewelry. And somewhere between the bad bets and the borrowed money, he starts to notice something. The dice aren't random. Not really. They follow rules.
Welcome to Pioneers of Probability. https://t.co/vK9VGHOEUD
Pessimism about markets always sounds more intelligent. But decades of data tell a different story — one that's easy to forget when headlines turn dark.
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Crowds can be remarkably wise — until they start copying each other. One author pinpointed the moment collective intelligence turns into collective risk.
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The math of investing costs is simple — and unforgiving. One of the industry's most respected voices put it in terms that are hard to argue with.
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"I'll invest when things settle down." It's one of the most common plans in finance — and can be one of the most expensive. Here's what the waiting actually costs.
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Your savings account balance doesn’t drop — which is why it feels safe. But there's a risk most people don't see until it can cost them.
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Pioneers of Probability: Leonardo Fibonacci
It's the year 1200. You're a merchant in Pisa, one of the busiest Ports in the Mediterranean. You need to split a shipment of pepper between three buyers, convert Florentine coins to Genoese pounds, and calculate your profit before the tide turns. Your tools? Roman Numerals. https://t.co/1ngHPOfud0
DISCLOSURES:
This video is for informational and educational purposes only and does not constitute a solicitation or recommendation to buy or sell any security.
The historical and mathematical concepts discussed are intended to illustrate the development of probability theory and its relevance to investing. Past performance is not indicative of future results.
All investing involves risk, including the possible loss of principal. The S&P 500 return data cited reflects a specific historical period (1926-2026) with dividends reinvested and does not account for taxes, fees, or inflation; it should not be interpreted as a forecast of future returns.
The examples provided are hypothetical and based on historical index data, not an actual investment. Index returns do not reflect the performance of any actual portfolio or the deduction of advisory fees.
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Alternative investments often come with higher fees, longer lock-ups, and an air of exclusivity. But when researchers looked at the actual returns, the VIP section looked surprisingly familiar.
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Good investing rarely feels good when you're doing it. The decisions that look brilliant in hindsight often share one thing in common at the time.
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