Corollary: meaning, definitions and examples

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corollary

 

[kษ™หˆrษ’l.ษ™.ri ]

Definition

Context #1 | Noun

mathematics, logic

A corollary is a statement that follows readily from a previous statement or proposition that has been proven. It is often considered an easy or obvious consequence that requires little additional proof because it is logically derived from established results. Corollaries provide insight and additional information about the original statement, and they are frequently used in mathematical and logical contexts. For example, if a theorem is proved, a corollary can be easily inferred from that theorem without extensive additional research.

Synonyms

consequence, implication, outcome, result.

Examples of usage

  • The triangle inequality is a corollary of the properties of absolute values.
  • From the theorem, we can derive a corollary that simplifies our calculations.
  • The corollary states that with the assumptions made, the following must also be true.

Interesting Facts

Etymology

  • The word comes from the Latin 'corollarium', meaning 'a small crown', which suggests something that follows from or is added to what is already there.
  • First recorded use in English was in the 14th century, indicating a long history of the term in academic language.
  • Corollary originally referred to something that was 'added on', just like a decorative piece added to a crown.

Mathematics

  • In mathematics, a corollary is a theorem that follows easily from a previous theorem, serving as a way to build on existing knowledge.
  • Famous corollaries often simplify complex ideas, making them easier to understand and apply.
  • An example includes the corollary that states if a triangle is right-angled, then the Pythagorean theorem applies.

Philosophy

  • In philosophical discussions, a corollary can be used to derive further implications or consequences from a primary argument.
  • This helps in constructing logical frameworks where one assertion leads to another, enriching the debate.
  • Philosophers like Aristotle often employed corollaries in their argumentation to illustrate points clearly and logically.

Psychology

  • In psychology, a corollary can be understood as the mental processes and subsequent behavior that result from a given thought or belief.
  • George Kelly's personal construct theory discusses corollaries as ways that individuals interpret experiences based on previous outcomes.
  • Corollary thinking emphasizes the connection between experiences and how they can lead to similar future reactions.

Legal Context

  • In law, a corollary may refer to principles that follow from established legal precedents to provide clarity in cases.
  • Lawyers often cite corollaries in reasoning to support their arguments, basing conclusions on what has been previously agreed upon.
  • Understanding legal corollaries helps in predicting outcomes in court based on past rulings.

Translations

Translations of the word "corollary" in other languages:

๐Ÿ‡ต๐Ÿ‡น corolรกrio

๐Ÿ‡ฎ๐Ÿ‡ณ เค‰เคชเคธเค‚เคนเคพเคฐ

๐Ÿ‡ฉ๐Ÿ‡ช Korollar

๐Ÿ‡ฎ๐Ÿ‡ฉ korolari

๐Ÿ‡บ๐Ÿ‡ฆ ะบะพั€ะพะปัั€

๐Ÿ‡ต๐Ÿ‡ฑ korolarny

๐Ÿ‡ฏ๐Ÿ‡ต ่ฃœ้กŒ

๐Ÿ‡ซ๐Ÿ‡ท corollaire

๐Ÿ‡ช๐Ÿ‡ธ corolario

๐Ÿ‡น๐Ÿ‡ท korolarya

๐Ÿ‡ฐ๐Ÿ‡ท ๋ถ€๊ฐ€๋ช…์ œ

๐Ÿ‡ธ๐Ÿ‡ฆ ู†ุชูŠุฌุฉ

๐Ÿ‡จ๐Ÿ‡ฟ korolรกล™

๐Ÿ‡ธ๐Ÿ‡ฐ korolรกr

๐Ÿ‡จ๐Ÿ‡ณ ๆŽจ่ฎบ

๐Ÿ‡ธ๐Ÿ‡ฎ korolar

๐Ÿ‡ฎ๐Ÿ‡ธ afleiรฐing

๐Ÿ‡ฐ๐Ÿ‡ฟ า›ะพั€ั‹ั‚ั‹ะฝะดั‹

๐Ÿ‡ฌ๐Ÿ‡ช แƒ™แƒแƒ แƒแƒšแƒแƒ แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ korolyar

๐Ÿ‡ฒ๐Ÿ‡ฝ corolario

Word Frequency Rank

At position #12,991, this word is part of sophisticated English vocabulary. It's useful for academic or professional contexts where precise language is needed.