postulate

/'pɔstjuleit/
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postulate

A mathematician writes a key postulate on the board during a lecture.

Definition
  1. Noun:

    • (Logic, Mathematics) A fundamental proposition or assumption: A statement or principle that is accepted as true without proof, serving as a starting point for further reasoning or argument. It is a basic premise upon which a theory or system is built.
  2. Verb:

    • To assume or assert the existence, truth, or necessity of something as a basis for reasoning: To put forward a proposition or idea as a given fact or necessary condition, often as the foundation for an argument or theory.
    • To require or demand as a necessary condition or prerequisite: To stipulate that something must be the case or be provided.
Usage Examples
  • Noun:

    • One of the basic postulates of Euclidean geometry is that a straight line can be drawn between any two points.
    • The economic theory is built upon the postulate of rational human behavior.
  • Verb:

    • The author postulates that all human action is motivated by self-interest.
    • This model postulates a constant rate of growth.
    • The treaty postulates mutual respect between the signatory nations.
Advanced Usage
  • "To postulate that...": A common structure used to introduce a foundational assumption.
    • Einstein postulated that the speed of light is constant for all observers.
  • Used in formal, academic, or scientific contexts: The word is most commonly found in discussions of logic, philosophy, mathematics, and theoretical sciences.
    • The researcher postulated a new mechanism for the chemical reaction.
Variants and Related Words
  • Postulation (n): The act of postulating or the thing postulated.
    • The postulation of dark matter helped explain galactic rotation.
  • Postulator (n): One who postulates.
  • Postulational (adj): Of or relating to postulates.
    • A postulational approach to geometry.
Synonyms
  • Noun: Axiom, premise, assumption, presumption, hypothesis (when treated as a starting point).
  • Verb: Propose, posit, presuppose, assume, hypothesize, stipulate, require.
Related Phrases
  • "Taken as a postulate": Accepted as a foundational truth.
    • The indivisibility of the atom was taken as a postulate in early theories.
  • "Fundamental postulate": A basic, underlying assumption.
    • The fundamental postulate of democracy is the equality of all citizens.
Idioms

No common idioms are directly formed from the word "postulate". Its usage is primarily technical and formal.

postulate

A mathematician writes a key postulate on the board during a lecture.

Noun
  1. (logic) a proposition that is accepted as true in order to provide a basis for logical reasoning
Verb
  1. require as useful, just, or proper
    • It takes nerve to do what she did
    • success usually requires hard work
    • This job asks a lot of patience and skill
    • This position demands a lot of personal sacrifice
    • This dinner calls for a spectacular dessert
    • This intervention does not postulate a patient's consent
  2. take as a given; assume as a postulate or axiom
    • He posited three basic laws of nature
  3. maintain or assert
    • He contended that Communism had no future