Exploring the Concept of Corollary: A Logical Consequence
This video explores the meaning and usage of the term ‘corollary,’ a word often encountered in GRE preparation. It explains the definition of a corollary as a proposition that naturally follows from a proven statement, and provides examples of how corollaries are used in various contexts. The video also discusses common errors in using the term and emphasizes the importance of understanding corollaries for critical thinking and academic success.
Imagine you’re solving a complex math problem. You prove that all squares are rectangles. As a natural consequence, you realize that all squares must also have four sides.
This logical follow-up is what we call a corollary. Today, we’re exploring the word corollary, a term you might encounter in your GRE preparation.
Word type: Corollary is a noun.
Meaning: A corollary is a proposition that follows from a proven statement with little or no additional proof.
It’s often a natural consequence or result of another fact or proposition.
Word history: The term corollary comes from the Latin word corollarium, which originally meant a small gift or gratuity.
In ancient Rome, actors were sometimes given a small crown, or corolla, as a token of appreciation. Over time, the meaning evolved to represent something given beyond what is strictly due, and eventually, it came to mean an additional inference or deduction in logic.
Synonyms: Some synonyms for corollary include consequence, result, outcome, effect, and inference.
Antonyms:
Antonyms for corollary are less common, but you could consider words like cause, origin, or source as opposite concepts.
Examples use in sentences: The discovery of a new planet was an exciting corollary to the astronomer’s research on star formations.
As a corollary to the company’s new work-from-home policy, employees reported higher job satisfaction and increased productivity.
The theory of relativity has many corollaries that have revolutionized our understanding of physics and the universe.
Common errors in use: One common mistake is confusing corollary with correlation. While a corollary is a natural consequence or result, a correlation simply implies a relationship between two things, which may or may not be causal.
Another error is using corollary as an adjective. Remember, corollary is a noun. If you need an adjective form, you would use corollary as a modifier, as in corollary statement or corollary effect.
Understanding the word corollary and its proper usage can significantly enhance your vocabulary for the GRE.
It’s a term often used in academic and scientific contexts, making it valuable for comprehension in various disciplines.
By grasping the concept of a corollary, you’re better equipped to analyze logical arguments and understand the relationships between different ideas or propositions.
This skill is crucial not only for the GRE but also for advanced academic pursuits and professional environments where critical thinking is essential.
