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Usage Examples
Filter by Meaning The axiom that all human beings have certain inalienable rights, such as the right to life, liberty, and the pursuit of happiness, is enshrined in the US Declaration of Independence.
The axiom of non-contradiction states that something cannot both be and not be at the same time and in the same respect.
The reflexive axiom states that any quantity is equal to itself.
The scientific axiom that every effect has a cause is not universally accepted.
"Nothing can travel faster than the speed of light" is an axiom in the theory of relativity.
The student asked the teacher to explain the meaning of axiom in Kantian philosophy.
The notion of gender as a social construct, rather than a biological fact, is a widely accepted axiom in feminist theory.
The axiom that actions speak louder than words suggests that people should be judged by their behavior rather than their words.
"All men are mortal" is an axiom in the philosophy of logic.
In philosophy, the axiom of existence is that something must exist.
The completeness axiom is used in real analysis to define the least upper bound property of the real numbers.
The axiom "All men are mortal" is the starting point for many logical arguments.
The political debate was centered around the axiom that government should serve the people.
The social axiom that "blood is thicker than water" emphasizes the importance of family ties.
It is an axiom that the shortest distance between two points is a straight line.
"Survival of the fittest" is an axiom in the theory of evolution.
"The self is an illusion" is an axiom in Buddhist philosophy.
The principle of the separation of powers, which divides government into three branches, is an axiom of many modern democracies.
The axiom that human language is innate and that children are born with a universal grammar is a central tenet of Chomskyan linguistics.
The axiom of identity states that a thing is identical to itself.
The axiom of infinity is a statement in set theory that asserts the existence of an infinite set.
The axiom of union states that for any collection of sets, there is a set that contains exactly those elements that are members of some set in the collection.
The idea of the self as a continuous and unified entity is an axiom of Western philosophy.
The axiom of extensionality states that two sets are equal if and only if they have the same elements.
Axiom schema of specification is an axiom schema in axiomatic set theory that allows the construction of a set by specifying a property that its members must satisfy.
The axiom of choice is a controversial axiom in set theory that states that given any collection of non-empty sets, there exists a way to choose one element from each set.
"Power corrupts; absolute power corrupts absolutely" is an axiom in political science.
"Form follows function" is an axiom in architecture and design.
"The shortest distance between two points is a straight line" is an axiom in Euclidean geometry.
It is an axiom that two parallel lines never intersect.
The notion of cultural relativism, which holds that all cultural practices are equally valid and cannot be judged by external standards, is a key axiom in anthropology.
The golden rule, "treat others as you want to be treated," is an axiom that has been found in many cultures and religions.
The principle of falsifiability, which states that a scientific theory must be testable and that it can be proven false if it does not pass empirical tests, is a key axiom in the philosophy of science.
The axiom of choice is a controversial mathematical principle that is widely debated among mathematicians.
The belief that the universe is governed by natural laws is an axiom in physics.
The principle of comparative advantage, which suggests that countries should specialize in producing goods for which they have a comparative advantage over other countries, is a key axiom in international trade theory.
The axiom that the laws of nature are deterministic is a key principle in classical mechanics.
The belief that honesty is always the best policy is an axiom that many people live by.
The principle of utility, which states that the goal of all human action is to maximize happiness or pleasure, is a central axiom in utilitarian philosophy.
The idea of the social contract, which suggests that people agree to give up some individual freedoms in exchange for protection and security provided by the government, is an important axiom in political theory.
The principle of supply and demand is an economic axiom that explains market behavior.
The axiom of determinism asserts that all events are determined by prior causes.
The notion that the mind and body are separate entities is an axiom in Cartesian philosophy.
The concept of causality is considered an axiom in scientific and philosophical inquiry.
The principle of causality is an axiom that asserts that every event must have a cause.
The belief in the existence of an objective reality is an axiom of many philosophical systems.
The principle of sufficient reason is an axiom that asserts that every fact must have a reason or cause.
The axiom of choice is a controversial axiom in set theory that allows the selection of an element from every non-empty set.
The law of excluded middle is a logical axiom that states that every proposition is either true or false.
The natural law theory is based on the axiom that there are certain moral principles that are inherent in human nature.
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