Axiom: meaning, definitions and examples

Suitable for use in mathematics, logic, or formal systems. An axiom is a statement accepted as true without proof.

• In geometry, one basic axiom is that through any two points, there is exactly one line

Often used in science and mathematics, a postulate is a statement assumed true without proof for the sake of building a theory.

• Einstein's theory of relativity is built on the postulate that the speed of light is constant in a vacuum

Applicable in general discussions, philosophy, or everyday life. A principle is a fundamental truth or proposition that serves as the foundation for a system of belief or behavior.

• Honesty is a key principle that most people value in personal relationships

Used in a broad range of contexts, from daily conversation to philosophical discourse. Truth is a statement or fact accepted as true.

• It is a universal truth that gravity causes objects to fall towards the earth

An axiom is a statement that is accepted as true without proof, often used in mathematics and philosophy. It is considered a self-evident or universally recognized truth.

• In geometry, the parallel postulate is an axiom that cannot be derived from other assumptions
• The principle of equality is often treated as an axiom in discussions of human rights

A premise is a statement or idea that forms the basis for an argument or story. It is often used in logical reasoning, debates, and narrative structures.

• The premise of the argument was flawed from the start
• The movie's premise was intriguing, featuring a time-traveling detective

Fundamental refers to something that is a basic and essential part of a larger system or concept. It is used in various fields such as science, education, and philosophy to indicate core principles or elements.

• Understanding the fundamental laws of physics is crucial for any scientist
• Reading and writing are fundamental skills in education

An axiom is a statement or proposition that is regarded as being established, accepted, or self-evidently true. It is often used in mathematics and philosophy.

• In Euclidean geometry, one common axiom is that through any two points, there is exactly one straight line.
• The axioms of logic are fundamental to mathematical proofs.

A motto is a short sentence or phrase chosen as encapsulating the beliefs or ideals guiding an individual, family, or institution. It's often used in a symbolic or inspirational context.

• The school’s motto is 'Knowledge is Power.'
• The company’s motto, 'Customer First,' reflects its commitment to service.

A maxim is a short, pithy statement expressing a general truth or rule of conduct. It is often used in a moral or philosophical context.

• One common maxim is 'actions speak louder than words.'
• The maxim 'honesty is the best policy' is often quoted in ethical discussions.