postulational

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postulational

The scientist uses a postulational approach to derive the geometric proof.

Definition

Adjective: 1. Relating to or based on postulates: Pertaining to a system, method, or reasoning that begins with or depends on a set of assumed statements or propositions (postulates) taken as true without proof, as a basis for further reasoning or theory.

Usage

The adjective postulational is used to describe a logical or methodological approach that is founded on postulates. It is most commonly found in academic, scientific, and philosophical contexts, particularly in discussions about the foundations of mathematics, logic, and theoretical systems. - It modifies nouns like method, system, basis, approach, or framework.

Examples
  • The postulational method provides a clear foundation for building complex geometric theorems.
  • His argument was purely postulational, starting from a few basic assumptions about human behavior.
  • The shift towards a more postulational framework revolutionized the field of theoretical physics.
Advanced Usage
  • Postulational approach/system: Refers to an entire structure of thought built upon initial postulates.
    • Euclidean geometry is a classic example of a postulational system.
  • Postulational basis: The foundational layer of assumptions for a theory.
    • The theory's postulational basis has been debated by philosophers for decades.
Variants and Related Words
  • Postulate (verb/noun): To assume or demand the existence, truth, or necessity of something as a basis for reasoning; a fundamental assumption.
    • He postulated that all matter is composed of atoms.
  • Postulation (noun): The act of postulating; something postulated.
    • The entire argument rests on a single, unproven postulation.
  • Axiomatic (adjective): Self-evident or unquestionable; of the nature of an axiom. While similar, often implies a stronger sense of being universally accepted, whereas is more neutral regarding the truth of the assumptions.
    • It is axiomatic that economic growth requires investment.
Synonyms
  • Hypothetical: Based on a suggested idea or theory rather than proven fact.
  • Assumptive: Based on assumption.
  • Theoretical: Concerned with or involving the theory of a subject rather than its practical application.
Antonyms
  • Empirical: Based on observation or experience rather than theory or pure logic.
  • Demonstrated: Proven or shown clearly.
  • Established: Having been in existence for a long time and therefore recognized and generally accepted.
postulational

The scientist uses a postulational approach to derive the geometric proof.

Adjective
  1. of or relating to or derived from axioms
    • axiomatic physics
    • the postulational method was applied to geometry- S.S.Stevens

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