commensurability

commensurability

The two lengths exhibit commensurability.

Definition

Noun: - The quality of being measurable by a common standard: "commensurability" refers to the property of two or more things being comparable or measurable using a shared unit or scale. In mathematics, it specifically denotes the ability of two numbers or quantities to be expressed as integer multiples of a common unit (i.e., having a common divisor). - Philosophical sense: In ethics or metaphysics, "commensurability" describes the idea that different values, goods, or choices can be compared or ranked on a single scale of value.

Usage Examples
  • (Both lengths can be measured using the same unit.)
  • (Both numbers are multiples of 3.)
  • (Whether these values can be compared on a single scale.)
Advanced Usage
  • "Incommensurability": The opposite concept, where things cannot be measured by a common standard.

    • The incommensurability of scientific paradigms makes direct comparison difficult. (Different theories may lack a shared basis for evaluation.)
  • "Commensurable" (adj): capable of being measured by a common standard.

    • The two quantities are commensurable because they share a common factor.
Variants and Related Words
  • Commensurate (adj): corresponding in size or degree; proportionate.

    • Her salary is commensurate with her experience. (Her pay matches her level of experience.)
  • Commensurably (adv): in a manner that allows measurement by a common standard.

    • The two systems are commensurably aligned. (They can be compared using the same criteria.)
Synonyms
  • Comparability: the quality of being able to be compared.
  • Measurability: the ability to be measured.
  • Proportionality: the property of having a constant ratio.
Antonyms
  • Incommensurability: the lack of a common standard for comparison.
  • Immeasurability: the inability to be measured at all.
Related Idioms
  • On the same scale: comparable using a shared metric.
    • Their achievements are on the same scale of difficulty. (They can be compared directly.)