incommensurable
UK[ˌɪnkəˈmenʃ(ə)rəb(ə)l]US[ˌɪnkəˈmenʃərəb(ə)l]
adj
not able to be judged, measured, or compared by the same standard; having no common basis for evaluation.
adj
(mathematics) of two numbers or quantities, having no common measure other than 1; irrational.
Morpheme Breakdown
in
commensurable
in
not
commensurable
measurable by a common standard
Etymology
the word "incommensurable" is built upon the foundation of its positive counterpart, "commensurable," which originates from the late latin "commensurabilis," itself derived from "com-" (together) and "mensurabilis" (measurable). the core concept of measurement stems from the latin "mensura," meaning "a measure," which traces back to the verb "metiri" (to measure). by adding the latin negative prefix "in-," the meaning is precisely reversed to signify "not measurable by a common standard." this logical construction elegantly captures the idea of two entities existing on fundamentally different scales or categories, making direct comparison or quantitative equivalence impossible, a concept crucial in both philosophy and mathematics.
Analysis
Structure: in (not) + commensurable (measurable by a common standard)
- in: a latin prefix meaning "not" or "without". it functions as a negative particle.
- commensurable: from latin 'commensurabilis', meaning "having a common measure". it functions as the core adjective describing comparability.
Examples
the artist believed that aesthetic value and market price were incommensurable.
the two theories are based on incommensurable paradigms, making a direct debate futile.
the square root of 2 is incommensurable with 1.