These are the 10 best generals of all time, according to math (2024)

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These are the 10 best generals of all time, according to math (1)

Blake Stilwell,

Updated

2022-09-14T19:03:21Z

These are the 10 best generals of all time, according to math (2)

Jacques-Louis David
  • Researcher Ethan Arsht applied the principals of baseball sabermetrics to history's most well-known generals.
  • The model produced some surprises, leaving off some recent generals and other famous commanders.

These are the 10 best generals of all time, according to math (3)

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These are the 10 best generals of all time, according to math (4)

These are the 10 best generals of all time, according to math (5)

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Someone went and moneyball-ed military history. Ethan Arsht applied the principles of baseball sabermetrics to the performances of history's greatest generals. It starts with comparing the number of wins from that general to a replacement general in the same circ*mstances.

The math is tricky but the list is definitive. There are just a few caveats.

First, where is all this information coming from? Although an imperfect source, Arsht complied Wikipedia data from 3,580 battles and 6,619 generals. He then compiled lists of key commanders, total forces, and of course, the outcome. The general's forces were categorized and his numerical advantage or disadvantage weighted to reflect tactical ability. The real power is ranking the general's WAR score, the aforementioned Wins Above Replacement.

For each battle, the general receives a weighted WAR score, a negative score for a loss. For example, at the Battle of Borodino that pitted Napoleon against Russian General Mikhail Kutuzov, the French had a slight numerical advantage against the Russians.

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So the model devised by Arsht gave Bonaparte a WAR score of .49, which means a replacement general had a 50% chance of still winning the battle. Kutuzov gets a -.49 for Borodino, meaning a replacement for him had a 51% chance of losing anyway.

The more battles a commander fights and wins, the more opportunities to raise their scores. Fighting fewer battles doesn't help, either. There were some surprises in the model, like the apparent failures of generals like Robert E. Lee and more modern generals. For more modern generals like Patton, that can be attributed to the relatively small number of battles commanded.

For more about Arsht's results, responses to criticism, and his findings, visit his post on Medium's Towards Data Science. To see every general's data point and where they sit in the analysis, check out the Bokeh Plot, an interactive data visualization. Remember, this has nothing to do with overall strategy and it's all in good fun. Arsht does acknowledge his shortcomings, so check those out, too.

This story was originally published in February 2019.

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10. Alexander the Great

These are the 10 best generals of all time, according to math (6)

Wikimedia Commons

As previously mentioned, Alexander was a great strategist, but since his life was cut short and he had only nine battles from which to draw data, it leaves the model very little to work with.

Still, the conqueror of the known world is ranked much higher than other leaders with similar numbers, including the Japanese Shogun Tokugawa, German Field Marshal Erwin Rommel, and Confederate General J.E.B. Stuart.

It should be noted that Alexander's per-battle WAR average is higher than anyone else's on the list.

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9. Georgy Zhukov

These are the 10 best generals of all time, according to math (7)

Zhukov has only one more battle than Alexander and his overall score barely squeaks by the Macedonian.

Interestingly enough, his score is far, far above that of Gen. Douglas MacArthur and Confederate Gens. Jubal Early and John Bell Hood. That's what overcoming the odds does for your WAR score.

8. Frederick the Great

These are the 10 best generals of all time, according to math (8)

Wikimedia Commons

Ruling for more than 40 years and commanding troops in some 14 battles across Europe earned the enlightened Prussian ruler the number-eight spot on this list.

His per-battle average was also lower than Alexander's but, on the whole, he was just a better tactician.

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7. Ulysses S. Grant

These are the 10 best generals of all time, according to math (9)

The Library of Congress/American Memory/Wikimedia Commons

Grant's performance commanding Union troops in 16 battles earned him the seventh spot on the list — and the US presidency.

Although his performance on the battlefield is clearly much better than those of his contemporaries, it should be noted that his Civil War arch-rival, Robert E. Lee, is so far below him on the list that he actually has a negative score.

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6. Hannibal Barca

These are the 10 best generals of all time, according to math (10)

Wikimedia Commons

Hannibal, once captured by Scipio Africanus, is believed to have given his own ranking system to Scipio, once the two started talking.

His personal assessment wasn't far off from the truth. He listed Alexander the Great and himself. Both of whom are in the top ten, even centuries later.

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5. Khalid Ibn al-Walid

These are the 10 best generals of all time, according to math (11)

Khalid was a companion of the Prophet Mohammed, and one of the Islamic Empire's most capable military leaders.

In 14 battles, he remained undefeated against the Byzantine Empire, the Sassanid Persians, and helped spread Islam to the greater Middle East.

Compared to others who fought similar numbers of battles, his score eclipses even Frederick the Great.

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4. Takeda Shingen

These are the 10 best generals of all time, according to math (12)

Being one of the best military minds in feudal Japan is a really big deal, because almost everyone seemed to be a military mind and being better than someone else might mean you get challenged to a duel.

After 18 battles, the Tiger of Kai reigned supreme — in Japan, anyway.

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3. Arthur Wellesley, 1st Duke of Wellington

These are the 10 best generals of all time, according to math (13)

Wiki Commons

It's a pretty big deal to be the guy who delivered a solid defeat to the man they called "Master of Europe."

Napoleon's old nemesis, the Duke of Wellington, also saw command of 18 battles, but his WAR score is considerably higher than that of Takeda Shingen, his nearest challenger.

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2. Julius Caesar

These are the 10 best generals of all time, according to math (14)

Wikimedia Commons

Caesar didn't have command in as many battles as Shingen or the Duke of Wellington, but his WAR score reflects a lot more risk and shrewdness in his battlefield tactics.

But Caesar also couldn't top Alexander's per-battle WAR average.

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1. Napoleon Bonaparte

These are the 10 best generals of all time, according to math (15)

Wikimedia Commons

Yes, you might have guessed by now, but the number one spot belongs to l'Empereur.

Napoleon is so far ahead of the normal distribution curve created by the data for these 6,000-plus generals, it's not even close. After 43 battles, he has a WAR score of more than 16, which blows the competition away.

There can be no question: Napoleon is the greatest tactical general of all time, and the math proves it.

Read the original article on We Are The Mighty. Copyright 2022. Follow We Are The Mighty on Twitter.

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These are the 10 best generals of all time, according to math (2024)

FAQs

Who are the 10 greatest generals in history? ›

The Top 10 Greatest Generals: Alexander the Great, Hannibal, Julius Caesar, Attila the Hun, William the Conqueror, Saladin, Genghis Khan, Napoleon Bonaparte, Robert E. Lee, and George Patton.

Who is the greatest general according to math? ›

After 43 battles, he has a WAR score of more than 16, which blows the competition away. There can be no question: Napoleon is the greatest tactical general of all time, and the math proves it.

Who is statistically the greatest general of all time? ›

The result: "mathematics proves it", Napoleon Bonaparte (1769-1821) is "the best general in history". The Emperor of the French came in "comfortably" first, ahead of Julius Caesar and the Duke of Wellington, one of his toughest opponents.

Who were the top 10 generals of ww2? ›

In his email, Blaine listed 10 Generals viz Alexander, Montgomery, Eisenhower, Bradley, Patton, Clark, Rommel, Guderian, Kesselring, Zhukov and facetiously Churchill. An obvious omission is Von Manstein who was indubitably one of the best Operational Generals of the war.

Who is undefeated generals in history? ›

Book overview. Khalid ibn al-Walid was an undefeated military commander who played a pivotal role in the spread of Islam and the expansion of the Muslim empire. He was a brilliant strategist and tactician, and he was known for his courage, determination, and humility. Khalid's military achievements were unprecedented.

Who are the top 5 generals in US history? ›

From the Revolutionary War to the Civil War, World War II, and beyond, many Americans have skillfully led their armies and soldiers, but I believe that George Washington, Winfield Scott, Robert E. Lee, Ulysses S. Grant, and George S. Patton distinguished themselves as our nation's five greatest generals.

Who was the top 5 greatest general in history? ›

The Top 5 Greatest Generals: Alexander the Great, Hannibal, Julius Caesar, Genghis Khan, and Napoleon Bonaparte.

Who is all the father of mathematics? ›

Who is the Father of Mathematics? Archimedes is known as the Father of Mathematics. Mathematics is one of the ancient sciences developed in time immemorial.

Who is the father of general mathematics? ›

Archimedes is widely regarded as one of the greatest mathematicians in history, earning him the title of the "Father of Mathematics." Born in Syracuse, Sicily, in 287 BC, Archimedes was a polymath who made significant contributions to a wide range of fields, including mathematics, physics, engineering, and astronomy.

Who was the smartest general in history? ›

Napoleon Bonaparte (1769-1821)

A titan of history, redefined warfare and reshaped the world in the late 18th and early 19th centuries. Rising from humble beginnings, this charismatic military genius ascended to the pinnacle of power in France through sheer determination and brilliance on the battlefield.

Who was the most brilliant general? ›

Napoleon Bonaparte is recognized as one of the greatest military commanders of all time. He brought Revolutionary France back from the brink of destruction with his Italian campaign in 1796 and 1797. He made a fool of Czar Alexander I at the Battle of Austerlitz in 1805.

Who never lost a battle in world history? ›

In antiquity, no one stands taller than Alexander the Great - the young military genius who never once lost a battle and established a vast empire that heralded a new historical era.

Who was the most feared general of ww2? ›

1. Field Marshal Bernard Montgomery. Born in 1887, Bernard Law Montgomery was a British general who served in the First World War and the Irish War of Independence before rising in prominence to become one of the most talented generals of World War II.

Who was the highest ranking general killed in ww2? ›

Among the dead was the Tenth Army's commander, Lieutenant General Simon Bolivar Buckner Jr., killed on June 18 by enemy artillery fire during the final offensive. He was the highest-ranking American general killed in action during World War II.

Who was the most successful general in World War II? ›

Field Marshal Bernard Law Montgomery was one of the most prominent and successful British commanders of the Second World War (1939-45). Affectionately known as 'Monty', he commanded the Allies in North Africa and in the subsequent invasions of Italy and Normandy.

Who were the only 5 star generals? ›

Five men have held the rank of General of the Army (five star), George C. Marshall, Douglas MacArthur, Dwight D. Eisenhower, Omar Bradley, and Henry H. Arnold, who later became the only five-star general in the Air Force.

Who were the top 3 Union generals? ›

Union war generals include Ulysses S. Grant: Leader of the Union Army, William Tec*mseh Sherman, and early Union General George B. McClellan.

Who was the greatest undefeated general? ›

Here are the 4 most famous undefeated military leaders in history
  1. Alexander the Great. Few military leaders have had such a monumental effect on the world like Alexander. ...
  2. Khalid ibn al-Walid. ...
  3. Subutai. ...
  4. Arthur Wellesley.
Mar 30, 2023

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