axiomatical

Meanings

• adjective

  Relating to axioms or to the body of truths in a particular field established as self-evident or accepted without question.

  - "The axiomatical principles of mathematics are the foundation for all proofs."
  - "The axiomatical system of physics describes the fundamental laws of the universe."

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Variants

List of all variants of axiomatical that leads to same result
axiomatic , axiomatically

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Etymology

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

derived from the Greek word 'axioma' meaning 'that which is thought worthy or self-evident'

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Trivia

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

1. The word 'axiom' comes from the Greek word 'axioma', which means 'that which is thought worthy or self-evident'.

2. The axiom of choice is a fundamental axiom in set theory, which states that for any set of non-empty sets, there exists a choice function that selects one element from each set.

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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. postulates: Axioms are also referred to as postulates in mathematics. Postulates are statements that are accepted as true without proof.

2. axiomatic method: A method of building a theory from axioms or self-evident truths. In this method, theorems are derived from the axioms using logical deduction.

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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.

In philosophy and mathematics, axiomatical refers to a self-contained and consistent system of assumptions, which are used as a foundation for reasoning and proving theorems. It has been a crucial concept in various fields such as mathematics, logic, and philosophy.

How to Memorize "axiomatical"

1. visualize
   

   - Imagine a foundation made up of self-evident truths or axioms.
   - Visualize axiomatical as the foundation upon which a theory or a branch of knowledge is built.

2. associate
   

   - Associate the word axiomatical with the concept of self-evident truths or foundational principles.
   - Think of axiomatical as the starting point for reasoning and proving theorems.

3. mnemonics
   

   - Remember the phrase 'A is for Axiomatical, Axioms Are Assumed Always'.

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