Examples of 'axiom' in a sentence
Meaning of "axiom"
axiom (noun): a statement or proposition that is regarded as being established, accepted, or self-evidently true
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- A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
- A fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).
- An established principle in some artistic practice or science that is universally received.
How to use "axiom" in a sentence
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axiom
By the axiom of extensionality this set is unique.
Financial operators are well aware of this axiom.
This axiom might lead us to this theorem.
Once we have understood the axiom of the bi.
This axiom is the cornerstone of analytic geometry.
I am not sure that axiom holds true.
The axiom of regularity is of a restrictive nature as well.
The proof needs the axiom of choice.
This axiom should be agreed upon internationally.
This result depends on the axiom of choice.
An axiom is a statement that is widely accepted as true.
Their existence is sometimes taken as an additional axiom.
My second axiom concerns the process of learning.
Demonstrations and proofs invoke an initial as if it were an axiom.
He does not need an axiom or a proof or even a definition.
See also
An axiom or postulate is a premise or starting point of reasoning.
It is a political axiom that power follows property.
Their existence relies on the axiom of choice.
Discovering a middle axiom is always a considerable achievement.
This property is called the normalisation axiom.
It is an axiom of the true structure of the universe.
It is implied by the stronger axiom of limitation of size.
An axiom is something that does not need to be proven.
Robinson arithmetic with an axiom schema of induction.
The axiom of induction says the following.
One checks the sheaf axiom easily.
This axiom is a fertile source of nonconstructive arguments.
Some authors therefore omit this axiom.
That is an irrefutable axiom on which there can be no debate.
This phrase has truly become my axiom.
This axiom allows credit to exist in the economy.
Lis always a model of the axiom of choice.
This axiom is not supported by modern set theory.
A word on notation and the axiom of choice.
The easiest axiom to generalize is the associative law.
Let me tell you about a spiritual axiom.
But the old axiom was misleading.
I have seen the truth of this axiom.
See also use of the axiom of choice below.
It seems to piggy back on the familiar axiom.
The axiom of regularity prevents this from happening.
This uses the axiom of choice.
An axiom invented by an old human male.
Evolutionists start with the axiom of naturalism or materialism.
The axiom of choice is often mentioned when used.
Well beyond the third axiom.
It was taken as an axiom in his first axiomatisation of propositional logic.
The necessary presence of time axiom.
The last axiom needs the most explanation.
Not every situation requires the axiom of choice.