Corollary
Corollary
Corollary (/kəˈrɒləri/; from the Latin corollarium, a garland given as a reward) is a term used in various fields of study, including mathematics, logic, and philosophy. It is generally used to refer to a statement that is a logical extension or consequence of another statement or theorem that has already been proven.
Etymology
The term corollary is derived from the Latin word corollarium, which means "a garland given as a reward". In its original context, a corollary was a small, additional reward given to someone who had already received a larger reward. In its modern usage, a corollary is a statement or result that follows naturally from a previously established statement or result.
Related Terms
- Theorem: A statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms.
- Axiom: A statement or proposition that is regarded as being established, accepted, or self-evidently true.
- Proposition: A statement or assertion that expresses a judgment or opinion.
- Lemma: A proven statement used as a stepping-stone toward the proof of another statement.
- Proof: Evidence or argument establishing a fact or the truth of a statement.
Usage in Different Fields
In mathematics, a corollary is a statement that follows readily from a previous statement. In logic, a corollary is a proposition that follows from (and is often appended to) one already proven. In philosophy, it is a consequence or result of a theory, argument, or proposition.
External links
- Medical encyclopedia article on Corollary
- Wikipedia's article - Corollary
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