Theorem
noun
A statement that has proven to be true using facts and logical reasoning.
Pythagoras's theorem is a famous theorem in geometry
Often appears as...
- pythagoras's theorem
- theorem proving
Usage tips
Formal
Academic
noun
A rule or principle, especially in mathematics, that has been shown to be true.
Fermat's Last Theorem was proved by Andrew Wiles
Often appears as...
- fermat's last theorem
- riemann hypothesis theorem
Usage tips
Formal
Academic
noun
A statement that has proven to be true using facts and logical reasoning.
Pythagoras's theorem is a famous theorem in geometry
Often appears as...
- pythagoras's theorem
- theorem proving
Usage tips
Formal
Academic
noun
A rule or principle, especially in mathematics, that has been shown to be true.
Fermat's Last Theorem was proved by Andrew Wiles
Often appears as...
- fermat's last theorem
- riemann hypothesis theorem
Usage tips
Formal
Academic
Definition 1 of 2
Pro Tip 1/3Logical Proof
Theorems are not just ideas; they're proven by clear logical steps.
After rigorous proof, the researcher established the theorem.
Pro Tip 2/3Misconceptions
Theorems are often mistaken for theories; theorems are proven, theories are not.
Unlike scientific theories, theorems in mathematics are irrefutable.
Pro Tip 3/3Academic Usage
'Theorem' suggests a formal context, common in textbooks, lectures, and research.
The professor discussed the theorem in today's lecture.
Pro Tip 1/3Logical Proof
Theorems are not just ideas; they're proven by clear logical steps.
After rigorous proof, the researcher established the theorem.
Pro Tip 2/3Misconceptions
Theorems are often mistaken for theories; theorems are proven, theories are not.
Unlike scientific theories, theorems in mathematics are irrefutable.
Pro Tip 3/3Academic Usage
'Theorem' suggests a formal context, common in textbooks, lectures, and research.
The professor discussed the theorem in today's lecture.
Pro Tip 1/3Logical Proof
Theorems are not just ideas; they're proven by clear logical steps.
After rigorous proof, the researcher established the theorem.
Pro Tip 2/3Misconceptions
Theorems are often mistaken for theories; theorems are proven, theories are not.
Unlike scientific theories, theorems in mathematics are irrefutable.
Pro Tip 3/3Academic Usage
'Theorem' suggests a formal context, common in textbooks, lectures, and research.
The professor discussed the theorem in today's lecture.
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Video examples
Margaret Wertheim: The...
theorems onto these surfaces. The discovery of hyperbolic space ushered in the field of mathematics that is called non-Euclidean geometry. And this is actually the field of mathematics that underlies general relativity and is actually ultimately going to show us about the shape of the universe.
Video examples
Debunking the...
I will never need to use this for the rest of my life as they learn trig identities or the Pythagorean theorem or whatever it is that we all remember learning feeling pretty sure it's never going to show up again but that misses something important it misses the fact
Video examples
The paradox at the heart...
some began to worry their life's work would be impossible to complete. Still, Gödel’s theorem opened as many doors as a closed. Knowledge of unprovably true statements inspired key innovations in early computers. And today, some mathematicians dedicate their careers
Video examples
How math saved my life PIPE...
two different ways for instance what he would talk about PI he would say things like f of the X and big squeeze theorem but when I talked about PI what I saw was something similar to the pixel analogy I saw a shape that was forever getting smoother and smoother and
Video examples
My friend Richard...
kid and I said well my real hero was my father he was a working man had a fifth-grade education he was a master mechanic and he taught me how to use tools he taught me all sorts of things about mechanical things even taught me the Pythagorean theorem he didn't call
Video examples
Leonard Susskind: My...
I said, "Well, my real hero was my father. He was a working man, had a fifth-grade education. He was a master mechanic, and he taught me how to use tools. He taught me all sorts of things about mechanical things. He even taught me the Pythagorean theorem.
Video examples
Making sense of...
actually his statistical theorems can help us today to illustrate just how Bayesian statistics works I'm going to use another analogy because as scientists this is something we love to do imagine I told you that today I rocked up here using my own person
Video examples
Why are manhole covers...
For example, if you roll any curve of constant width around another, you'll make a third one. This collection of pointy curves fascinates mathematicians. They've given us Barbier's theorem, which says that the perimeter of any curve of constant width,
Video examples
How many ways are there...
But how do we know that the theorem is true for every right triangle on a flat surface, not just the ones these mathematicians and surveyors knew about? Because we can prove it. Proofs use existing mathematical rules and logic
Video examples
Eduardo Sáenz de...
You probably said or were told at some point that diamonds are forever, right? That depends on your definition of forever! A theorem -- that really is forever.
Video examples
Margaret Wertheim: The...
theorems onto these surfaces. The discovery of hyperbolic space ushered in the field of mathematics that is called non-Euclidean geometry. And this is actually the field of mathematics that underlies general relativity and is actually ultimately going to show us about the shape of the universe.
Video examples
Debunking the...
I will never need to use this for the rest of my life as they learn trig identities or the Pythagorean theorem or whatever it is that we all remember learning feeling pretty sure it's never going to show up again but that misses something important it misses the fact
Video examples
The paradox at the heart...
some began to worry their life's work would be impossible to complete. Still, Gödel’s theorem opened as many doors as a closed. Knowledge of unprovably true statements inspired key innovations in early computers. And today, some mathematicians dedicate their careers
Video examples
How math saved my life PIPE...
two different ways for instance what he would talk about PI he would say things like f of the X and big squeeze theorem but when I talked about PI what I saw was something similar to the pixel analogy I saw a shape that was forever getting smoother and smoother and
Video examples
My friend Richard...
kid and I said well my real hero was my father he was a working man had a fifth-grade education he was a master mechanic and he taught me how to use tools he taught me all sorts of things about mechanical things even taught me the Pythagorean theorem he didn't call
Video examples
Leonard Susskind: My...
I said, "Well, my real hero was my father. He was a working man, had a fifth-grade education. He was a master mechanic, and he taught me how to use tools. He taught me all sorts of things about mechanical things. He even taught me the Pythagorean theorem.
Video examples
Making sense of...
actually his statistical theorems can help us today to illustrate just how Bayesian statistics works I'm going to use another analogy because as scientists this is something we love to do imagine I told you that today I rocked up here using my own person
Video examples
Why are manhole covers...
For example, if you roll any curve of constant width around another, you'll make a third one. This collection of pointy curves fascinates mathematicians. They've given us Barbier's theorem, which says that the perimeter of any curve of constant width,
Video examples
How many ways are there...
But how do we know that the theorem is true for every right triangle on a flat surface, not just the ones these mathematicians and surveyors knew about? Because we can prove it. Proofs use existing mathematical rules and logic
Video examples
Eduardo Sáenz de...
You probably said or were told at some point that diamonds are forever, right? That depends on your definition of forever! A theorem -- that really is forever.
Example 1 of 10
Quote examples
Paul Samuelson
American Economist
To a person of analytical ability, perceptive enough to realise that mathematical equipment was a powerful sword in economics, the world of economics was his or her oyster in 1935. The terrain was strewn with beautiful theorems begging to be picked up and arranged in unified order.
Quote examples
George Boole
Irish Mathematician
No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.
Quote examples
Antony Garrett Lisi
American Physicist
Math does come easily to me, but I was always much more interested in what theorems imply about the world than in proving them.
Quote examples
Albert Camus
French Philosopher
To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
Quote examples
Joseph Stiglitz
American Economist
Economists often like startling theorems, results which seem to run counter to conventional wisdom.
Quote examples
Pierre de Fermat
French Lawyer
I have found a very great number of exceedingly beautiful theorems.
Quote examples
Shaquille O'Neal
American Athlete
Our offense is like the pythagorean theorem: There is no answer!
Quote examples
Paul Erdos
Hungarian Mathematician
A mathematician is a device for turning coffee into theorems.
Quote examples
G. H. Hardy
British Mathematician
Young men should prove theorems, old men should write books.
Quote examples
Stephen Hawking
English Physicist
One cannot really argue with a mathematical theorem.
Quote examples
Paul Samuelson
American Economist
To a person of analytical ability, perceptive enough to realise that mathematical equipment was a powerful sword in economics, the world of economics was his or her oyster in 1935. The terrain was strewn with beautiful theorems begging to be picked up and arranged in unified order.
Quote examples
George Boole
Irish Mathematician
No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.
Quote examples
Antony Garrett Lisi
American Physicist
Math does come easily to me, but I was always much more interested in what theorems imply about the world than in proving them.
Quote examples
Albert Camus
French Philosopher
To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
Quote examples
Joseph Stiglitz
American Economist
Economists often like startling theorems, results which seem to run counter to conventional wisdom.
Quote examples
Pierre de Fermat
French Lawyer
I have found a very great number of exceedingly beautiful theorems.
Quote examples
Shaquille O'Neal
American Athlete
Our offense is like the pythagorean theorem: There is no answer!
Quote examples
Paul Erdos
Hungarian Mathematician
A mathematician is a device for turning coffee into theorems.
Quote examples
G. H. Hardy
British Mathematician
Young men should prove theorems, old men should write books.
Quote examples
Stephen Hawking
English Physicist
One cannot really argue with a mathematical theorem.
Example 1 of 10
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