Edward Nelson facts for kids
Quick facts for kids
Edward Nelson
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Edward Nelson
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| Born | May 4, 1932 |
| Died | September 10, 2014 (aged 82) |
| Citizenship | American |
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| Children | 2 |
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| Thesis | On the Operator Theory of Markoff Processes |
| Doctoral advisor | Irving Segal |
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Edward Nelson (born May 4, 1932 – died September 10, 2014) was an American mathematician. He was a professor at Princeton University. He was famous for his work in mathematical physics and mathematical logic. He also explored how religion and mathematics connect.
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About Edward Nelson
Edward Nelson was born in Decatur, Georgia, in 1932. He spent his early childhood in Rome, Italy. His father worked there for the Italian YMCA. When World War II began, Edward moved with his mother to New York City. He went to high school at the Bronx High School of Science. His father stayed in St. Petersburg, Russia, to help with prisoners of war. After the war, his family returned to Italy. Edward attended the Liceo Scientifico Giovanni Verga in Rome.
He earned his Ph.D. degree in 1955 from the University of Chicago. His advisor was Irving Segal. From 1956 to 1959, he was a member of the Institute for Advanced Study. He started working at Princeton University in 1959. He became a full professor there in 1964 and retired in 2013.
In 2012, he became a special member, called a fellow, of the American Mathematical Society. Edward Nelson passed away in Princeton, New Jersey, on September 10, 2014.
Nelson's Amazing Math Work
Edward Nelson worked on many interesting math problems. He helped us understand complex ideas in physics and probability.
Quantum Mechanics and Chance
Nelson studied how stochastic processes can be used in quantum mechanics. A stochastic process is like a random journey. Think of a coin flip or a dice roll. These are random events. Nelson explored how such random events might explain how tiny particles behave in the quantum world. This area of study is called stochastic quantum mechanics.
The Hadwiger–Nelson Problem
In 1950, Edward Nelson came up with a fun puzzle. It's a bit like the famous four color theorem for maps. His problem asks: What is the smallest number of colors you need to color every point on a flat surface (like a giant piece of paper)? The rule is that no two points exactly one unit distance apart can have the same color.
Imagine you have a ruler. If two points are exactly one inch apart, they must be different colors. If they are 0.5 inches apart, or 2 inches apart, they can be the same color. This puzzle is now known as the Hadwiger–Nelson problem.
Famous mathematicians like Martin Gardner and Paul Erdős loved this problem. For a long time, we knew the answer was between 4 and 7 colors. But in 2018, a mathematician named Aubrey de Grey showed that you actually need at least 5 colors! This was a big step forward in solving the puzzle.
Thinking About Math's Rules
Later in his career, Nelson focused on the very basic rules of mathematics. This field is called the Foundations of mathematics. He explored ideas like internal set theory, which is a way to think about numbers that are "infinitely small" or "infinitely large."
He also looked at how we can prove mathematical statements. He was interested in whether computers could help check proofs. In 2011, Nelson thought he had found a major problem with Peano arithmetic. This is a set of basic rules for whole numbers. He announced that these rules might not be consistent, meaning they could lead to contradictions. However, another mathematician, Terence Tao, found a small error in Nelson's proof. Nelson quickly accepted the correction and took back his claim. This shows how science works: even brilliant minds can make mistakes, and correcting them helps everyone learn more.
See also
- Hidden variable theory
- Influence of non-standard analysis
- Stochastic process
- Stochastic quantum mechanics
- Stochastic electrodynamics
