axiom

Meanings

• noun

  A self-evident truth or a statement accepted as true without requiring proof.

  - "An axiom in mathematics is a statement that is accepted as true without needing to be proven."
  - "The axiom of choice is a fundamental assumption in set theory."

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Pronunciation

1. 
   
   
   
   Source: "https://commons.wikimedia.org/w/index.php?curid=75729711"
2. /ˈæks.i.əm/
   
   
   
   Source: "https://commons.wikimedia.org/w/index.php?curid=1769604"

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Synonyms

postulate , axioma

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Variants

List of all variants of axiom that leads to same result
axiom , axioms , axiom of choice , axioms of choice

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Etymology

origin and the way in which meanings have changed throughout history.

From the Greek word axíōma, meaning 'that which is thought worthy or fit.'

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The ancient Greeks used the term 'axiom' to refer to a 'judgment' or 'decision'.

2. The axiom of choice, also known as the 'axiom of choice principle', was first formulated by Ernst Zermelo in 1904.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Postulate: Similar to an axiom, a postulate is a statement that is assumed to be true in a given system.

2. Theorem: A statement that can be logically deduced from one or more axioms and previously established theorems.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

The term 'axiom' has been used extensively in various fields such as mathematics, logic, and philosophy.

How to Memorize "axiom"

1. visualize
   

   - Visualize an axiom as a self-evident truth, a foundation upon which other knowledge is built.
   - Imagine an axiom as a starting point in a mathematical proof.

2. associate
   

   - Associate the word 'axiom' with the idea of a self-evident truth.
   - Think of an axiom as a foundation or a base.

3. mnemonics
   

   - Use the acronym 'A Are X Inevitably Obvious Maxims' to remember the meaning of 'axiom'.
   - Remember that an axiom is a statement that is accepted as true without needing to be proven.

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