COROLLARIES Meaning and
Definition
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Corollaries are statements or propositions that logically follow from and are directly connected to a main or previous statement. They are auxiliary or secondary principles that serve as a natural consequence of something already established or proven.
Corollaries are typically used in mathematics and logic to derive additional conclusions from a theorem, axiom, or principle. In this context, they are the logical results or implications that stem from the initial premise. They can be seen as extensions or additional insights that support the original statement.
In a broader sense, corollaries can also be applied in other fields such as science, philosophy, or social sciences. They can serve as supporting arguments, supplementary ideas, or practical consequences to a main concept or theory. Corollaries essentially provide further elaboration, calculations, or evidence to enhance the understanding and implications of an initial statement.
In order to be considered a corollary, a statement must be logically deduced or inferred from the main proposition, without introducing any new assumptions or concepts. Corollaries are usually used to reinforce and solidify the original argument or idea, helping to expand the scope and implications of a given assertion.
Overall, corollaries are important tools in various disciplines as they offer additional insights and aid in the development and expansion of existing concepts, theories, or principles.
Top Common Misspellings for COROLLARIES *
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Other Common Misspellings for COROLLARIES
Etymology of COROLLARIES
The word "corollaries" has its origins in the Latin language. It is derived from the Latin word "corollarium", which means a sum of money given as a reward or a necklace of flowers. In Latin, "corollarium" is a noun form of the verb "corollare", which means to crown with a garland or to give a gift as a mark of honor. Over time, the meaning of "corollarium" expanded to encompass the idea of a supplementary proposition or inference that follows from a proven theorem. This mathematical sense of "corollary" was adopted into English, and the plural form "corollaries" refers to multiple supplementary propositions or inferences.
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