axiomatically

Meanings

• Noun

  A term used in logic and mathematics to describe a statement that is accepted as true without requiring a proof. In philosophy, an axiom is a self-evident truth.

  - "Newton's laws of motion are axioms in classical physics."
  - "The statement '1 + 1 = 2' is a mathematical axiom."

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Variants

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

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Etymology

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

From the Greek word 'axioma' meaning 'that which is thought worthy or deserving'.

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Trivia

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

1. The ancient Greeks believed that there were only a few fundamental truths, or axioms, upon which all other knowledge could be built.

2. In the field of ethics, an axiom is a fundamental moral principle that is taken to be self-evident.

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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: A statement assumed to be true for the purposes of a mathematical proof or argument.

2. Theorem: A mathematical statement that has been proven to be true.

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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 literature, axiomatically is used metaphorically to describe a statement or belief that is accepted without question or proof. In art, axiomatic structures can be found in the works of artists like Piet Mondrian and Donald Judd.

How to Memorize "axiomatically"

1. visualize
   

   - Imagine a set of self-evident truths, like a foundation upon which a logical or mathematical structure is built.

2. associate
   

   - Associate the word 'axiom' with the idea of a self-evident truth or a foundational principle.

3. mnemonics
   

   - Use the mnemonic 'A X I O M A' to remember the meaning of the word: 'A' for 'Accepted', 'X' for 'eXplicitly', 'I' for 'Innocuous', 'O' for 'Obvious', 'M' for 'Mathematically', and 'A' for 'Accepted'.

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