Corollaries

Part of speech: noun

Definitions

1. A proposition that follows logically from a previously proven statement
2. a secondary consequence or outcome that stems from a primary idea
3. additional results that derive or extend from a main assertion or theorem

Etymology: The word traces back to the Latin "corollarium," which originally meant a "small garland" or "wreath." This itself comes from "corolla," a diminutive form of "corona," meaning "crown" or "wreath." These floral crowns were often given as a kind of tribute or reward in ancient Rome, which influenced the metaphorical use of the term. By the late medieval period, "corollary" came to signify a natural consequence or result—something that follows as a sort of "reward" or logical extension of a previous statement. This figurative use was well-established by the 16th and 17th centuries in scholarly and philosophical writings, where it denoted propositions that followed readily from an already proven theorem. The plural form "corollaries" simply refers to multiple such logical consequences. Over time, the term has been adopted broadly beyond mathematics and philosophy, used wherever one idea or event naturally leads to another. The imagery of a wreath or crown subtly underscores the notion of something that naturally "grows out of" or "crowns" an initial idea, making the word a vivid metaphor that traveled from the physical world of Roman garlands to the abstract realm of reasoning.

Synonyms: consequences, results, outcomes, implications, deductions