Axiom
noun
A statement that is accepted as true without proof.
The idea that 'things equal to the same thing are equal to each other' is an axiom used in mathematics.
Often appears as...
- mathematical axiom
- self-evident axiom
Usage tips
Academic
noun
A statement or principle that is generally accepted to be true.
The axiom 'honesty is the best policy' is widely accepted.
Often appears as...
- accepted axiom
- traditional axiom
noun
A statement that is accepted as true without proof.
The idea that 'things equal to the same thing are equal to each other' is an axiom used in mathematics.
Often appears as...
- mathematical axiom
- self-evident axiom
Usage tips
Academic
noun
A statement or principle that is generally accepted to be true.
The axiom 'honesty is the best policy' is widely accepted.
Often appears as...
- accepted axiom
- traditional axiom
Definition 1 of 2
Pro Tip 1/3Unquestioned Premise
In logic or math, an axiom is a starting point for reasoning, not questioned or tested.
In geometry, the axiom that parallel lines never intersect is a given.
Pro Tip 2/3Foundational Importance
Axioms form the foundation of logical arguments or mathematical proofs.
He used the axiom of symmetry as the base for his theorem.
Pro Tip 3/3Not a Proof
An axiom shouldn't be confused with a theorem, which is proven based on axioms and definitions.
The professor stated the axiom clearly, without offering a proof.
Pro Tip 1/3Unquestioned Premise
In logic or math, an axiom is a starting point for reasoning, not questioned or tested.
In geometry, the axiom that parallel lines never intersect is a given.
Pro Tip 2/3Foundational Importance
Axioms form the foundation of logical arguments or mathematical proofs.
He used the axiom of symmetry as the base for his theorem.
Pro Tip 3/3Not a Proof
An axiom shouldn't be confused with a theorem, which is proven based on axioms and definitions.
The professor stated the axiom clearly, without offering a proof.
Pro Tip 1/3Unquestioned Premise
In logic or math, an axiom is a starting point for reasoning, not questioned or tested.
In geometry, the axiom that parallel lines never intersect is a given.
Pro Tip 2/3Foundational Importance
Axioms form the foundation of logical arguments or mathematical proofs.
He used the axiom of symmetry as the base for his theorem.
Pro Tip 3/3Not a Proof
An axiom shouldn't be confused with a theorem, which is proven based on axioms and definitions.
The professor stated the axiom clearly, without offering a proof.
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Video examples
Dan Cobley: What physics...
So next, the scientific method -- an axiom of physics, of all science -- says you cannot prove a hypothesis through observation, you can only disprove it. What this means is you can gather more and more data around a hypothesis or a positioning, and it will strengthen it, but it will not conclusively prove it.
Video examples
Janette Sadik-Khan: New...
The blue line is the number of cyclists, soaring. The green line is the number of bike lanes. And the yellow line is the number of injuries, which has remained essentially flat. After this big expansion, you've seen no net increase in injuries, and so there is something to that axiom
Video examples
Zahra Al-Mahdi: The...
By speaking in someone else's voice, I was experimenting with detachment from ideas I grew up thinking where axioms. We're in a strange place where our problem is the abundance of information, where the majority of people have a platform to be heard,
Video examples
How can you change...
the proof was accepted because it relied on axioms that everyone in the field already agreed on. Of course, many disagreements involve different beliefs that can’t simply be reconciled through logic. When these beliefs involve outside information,
Video examples
An introduction to...
but he revolutionized the way in which it is written, presented, and thought about. Euclid set out to formalize mathematics by establishing the rules of the game. These rules of the game are called axioms. Once you have the rules,
Video examples
Continuing the Fight for...
and preserve and improve our democracy what about you nicole is there anything that's giving you hope well i you know i i have to i mean like being an organizer i i always fall back on like our axioms for organizers where you
Video examples
Group theory 101: How to...
if you'll bear with me. In math, a group is a particular collection of elements. That might be a set of integers, the face of a Rubik's Cube, or anything, so long as they follow four specific rules, or axioms.
Video examples
The paradox at the heart...
undeniable statements about the numbers involved. Every system built on mathematics, from the most complex proof to basic arithmetic, is constructed from axioms. And if a statement about numbers is true,
Video examples
What happens to people...
There's an axiom in physics called the uncertainty principle. It teaches that the mere fact of observation can alter, will alter, the subatomic reaction being observed. In other words,
Video examples
Can a robot pass a...
which solved pre-university-level problems from end to end, like this one. This is the original problem written in Japanese, and we had to teach it 2,000 mathematical axioms
Video examples
Dan Cobley: What physics...
So next, the scientific method -- an axiom of physics, of all science -- says you cannot prove a hypothesis through observation, you can only disprove it. What this means is you can gather more and more data around a hypothesis or a positioning, and it will strengthen it, but it will not conclusively prove it.
Video examples
Janette Sadik-Khan: New...
The blue line is the number of cyclists, soaring. The green line is the number of bike lanes. And the yellow line is the number of injuries, which has remained essentially flat. After this big expansion, you've seen no net increase in injuries, and so there is something to that axiom
Video examples
Zahra Al-Mahdi: The...
By speaking in someone else's voice, I was experimenting with detachment from ideas I grew up thinking where axioms. We're in a strange place where our problem is the abundance of information, where the majority of people have a platform to be heard,
Video examples
How can you change...
the proof was accepted because it relied on axioms that everyone in the field already agreed on. Of course, many disagreements involve different beliefs that can’t simply be reconciled through logic. When these beliefs involve outside information,
Video examples
An introduction to...
but he revolutionized the way in which it is written, presented, and thought about. Euclid set out to formalize mathematics by establishing the rules of the game. These rules of the game are called axioms. Once you have the rules,
Video examples
Continuing the Fight for...
and preserve and improve our democracy what about you nicole is there anything that's giving you hope well i you know i i have to i mean like being an organizer i i always fall back on like our axioms for organizers where you
Video examples
Group theory 101: How to...
if you'll bear with me. In math, a group is a particular collection of elements. That might be a set of integers, the face of a Rubik's Cube, or anything, so long as they follow four specific rules, or axioms.
Video examples
The paradox at the heart...
undeniable statements about the numbers involved. Every system built on mathematics, from the most complex proof to basic arithmetic, is constructed from axioms. And if a statement about numbers is true,
Video examples
What happens to people...
There's an axiom in physics called the uncertainty principle. It teaches that the mere fact of observation can alter, will alter, the subatomic reaction being observed. In other words,
Video examples
Can a robot pass a...
which solved pre-university-level problems from end to end, like this one. This is the original problem written in Japanese, and we had to teach it 2,000 mathematical axioms
Example 1 of 10
Quote examples
Leandra Medine
American Author
I got a C in art when I was in 11th grade. That it is even possible to come out of a high school art class with a C is wondrous, especially considering the creative license we were encouraged to use to, for lack of a better axiom, color outside the lines.
Quote examples
Rush Limbaugh
American Entertainer
You want at least 5% of the population being serious. That five, 6% of the population carries the rest of the people. You've heard that old axiom: 5% of the people pull the wagon; 95% are in it.
Quote examples
F. Scott Fitzgerald
American Author
The idea that to make a man work you've got to hold gold in front of his eyes is a growth, not an axiom. We've done that for so long that we've forgotten there's any other way.
Quote examples
Henry Adams
American Historian
I tell you the solemn truth, that the doctrine of the Trinity is not so difficult to accept for a working proposition as any one of the axioms of physics.
Quote examples
John George Nicolay
American Writer
It may be assumed as an axiom that Providence has never gifted any political party with all of political wisdom or blinded it with all of political folly.
Quote examples
Albert Einstein
German Physicist
The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of hypotheses or axioms.
Quote examples
Vincent McNabb
Irish Clergyman
We shall not hold the dangerous axiom that 'truth is the best policy,' because policy is but a means to an end; and truth is an end, not a means.
Quote examples
Fernand Leger
French Artist
This truth must be recognized as a dogma and assume the validity of an axiom in the general understanding of painting.
Quote examples
Arthur Conan Doyle
British Writer
It has long been an axiom of mine that the little things are infinitely the most important.
Quote examples
Laura van den Berg
American Writer
I've always found the Write-What-You-Know axiom small and stifling.
Quote examples
Leandra Medine
American Author
I got a C in art when I was in 11th grade. That it is even possible to come out of a high school art class with a C is wondrous, especially considering the creative license we were encouraged to use to, for lack of a better axiom, color outside the lines.
Quote examples
Rush Limbaugh
American Entertainer
You want at least 5% of the population being serious. That five, 6% of the population carries the rest of the people. You've heard that old axiom: 5% of the people pull the wagon; 95% are in it.
Quote examples
F. Scott Fitzgerald
American Author
The idea that to make a man work you've got to hold gold in front of his eyes is a growth, not an axiom. We've done that for so long that we've forgotten there's any other way.
Quote examples
Henry Adams
American Historian
I tell you the solemn truth, that the doctrine of the Trinity is not so difficult to accept for a working proposition as any one of the axioms of physics.
Quote examples
John George Nicolay
American Writer
It may be assumed as an axiom that Providence has never gifted any political party with all of political wisdom or blinded it with all of political folly.
Quote examples
Albert Einstein
German Physicist
The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of hypotheses or axioms.
Quote examples
Vincent McNabb
Irish Clergyman
We shall not hold the dangerous axiom that 'truth is the best policy,' because policy is but a means to an end; and truth is an end, not a means.
Quote examples
Fernand Leger
French Artist
This truth must be recognized as a dogma and assume the validity of an axiom in the general understanding of painting.
Quote examples
Arthur Conan Doyle
British Writer
It has long been an axiom of mine that the little things are infinitely the most important.
Quote examples
Laura van den Berg
American Writer
I've always found the Write-What-You-Know axiom small and stifling.
Example 1 of 10
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