## Axiom

An **axiom** is a premise or starting point of reasoning. As classically conceived, an axiom is a premise so evident as to be accepted as true without controversy. The word comes from the Greek ἀξίωμα 'that which is thought worthy or fit,' or 'that which commends itself as evident.' As used in modern logic, an axiom is simply a premise or starting point for reasoning. Axioms define and delimit the realm of analysis. In other words, an axiom is a logical statement that is assumed to be true. Therefore, its truth is taken for granted within the particular domain of analysis, and serves as a starting point for deducing and inferring other (theory and domain dependent) truths. An axiom is defined as a mathematical statement that is accepted as being true without a mathematical proof.

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### Famous quotes containing the word axiom:

“It’s an old *axiom* of mine: marry your enemies and behead your friends.”

—Robert N. Lee. Rowland V. Lee. King Edward IV (Ian Hunter)

“It is an *axiom* in political science that unless a people are educated and enlightened it is idle to expect the continuance of civil liberty or the capacity for self-government.”

—Texas Declaration of Independence (March 2, 1836)

“The writer who neglects punctuation, or mispunctuates, is liable to be misunderstood.... For the want of merely a comma, it often occurs that an *axiom* appears a paradox, or that a sarcasm is converted into a sermonoid.”

—Edgar Allan Poe (1809–1845)