Axiom

The golden ratio, a mathematical ratio that is often found in nature and art, is considered by many to be an axiom of beauty.

The axiom that "opposites attract" is a common saying in popular culture.

The axiom of extensionality is used in set theory to define the equality of sets.

"The customer is always right" is an axiom in the field of customer service.

"Necessity is the mother of invention" is an axiom in the history of technological innovation.

"God is good" is an axiom in many religious beliefs.

"There is no such thing as a free lunch" is an axiom in economics.

"The only thing that is constant is change" is an axiom in the philosophy of Heraclitus.

It is an axiom that one should treat others as they would like to be treated.

It is an axiom that a whole is greater than any of its parts.

The axiom of pairing states that given any two sets, there exists a set containing exactly those two sets as elements.

In epistemology, the axiom of belief is the principle that justifies our belief in certain propositions without requiring further evidence.

"Actions speak louder than words" is an axiom in interpersonal communication.

It is an axiom that honesty is the best policy.

"The universe is made up of atoms" is an axiom in modern physics.

The axiom that the ends justify the means is often used to justify ethically questionable behavior.

The axiom of dependent choice is another version of the axiom of choice that applies specifically to sets where each element depends on a previous element in the set.

The categorical imperative is an ethical axiom proposed by Immanuel Kant.

The axiom of foundation ensures that there are no infinitely descending membership chains.

"The whole is greater than the sum of its parts" is an axiom in Gestalt psychology.

It is an axiom that all bachelors are unmarried.

The axiom of foundation ensures that no set can be an element of itself.

The axiom of infinity states that there exists at least one set that contains the empty set and also contains another set with the empty set as an element.

The principle of non-contradiction is an axiom in many philosophical debates.

The axiom of power set guarantees the existence of a set that contains all subsets of a given set.

The belief that all human beings have inherent dignity is an axiom of many ethical systems.

The idea that consciousness is the foundation of all reality is an axiom of some philosophical schools.

In business, the axiom "time is money" is often used to emphasize the importance of efficiency.

The belief in a just and loving God is an axiom of many religions.

The idea that all humans are created equal is an axiom in modern democracies.

The axiom that "the customer is always right" is often used in the service industry to emphasize the importance of customer satisfaction.

"All men are created equal" is an axiom in the field of human rights.

The well-ordering theorem is equivalent to the axiom of choice.

The principle of non-contradiction, which states that something cannot both be and not be at the same time, is an axiom in logic.

"An eye for an eye, a tooth for a tooth" is an axiom in the philosophy of justice.

The concept of free will is an axiom in some philosophical systems but is challenged by others.

In geometry, the parallel postulate is an example of an axiom.

The Pythagorean theorem is an important axiom in geometry that describes the relationship between the sides of a right triangle.

It is an axiom that all human beings need food and water to survive.

"Justice delayed is justice denied" is an axiom in the field of law.

The theory of evolution is based on the axiom that all life on earth evolved from a common ancestor.

The axiom that beauty is in the eye of the beholder suggests that aesthetic judgments are subjective.

The scientific method is based on the axiom that observable phenomena can be explained through natural causes.

The axiom of union asserts that the union of a collection of sets is a set.

The axiom of power set states that given any set, there exists a set whose elements are exactly the subsets of the original set.

In mathematics, the axiom of choice is a controversial principle that states that given any collection of non-empty sets, it is always possible to choose one element from each set.

The axiom of regularity is used in set theory to avoid certain paradoxes.

The axiom that actions speak louder than words suggests that what people do is more important than what they say.

It is an axiom that time moves forward and never backwards.

"Beauty is truth, truth beauty" is an axiom in the philosophy of aesthetics.