# implication

Pronunciation: US say "im-pli-KAY-shuhn" /ˌɪmpləˈkeɪʃən/; UK

## Noun

1. A possible effect or result that follows from a decision or action.
   - Simple: A possible effect or result that comes from a choice or action.
   - _Economists debated the implications of the sudden interest rate hike._
   - _Every policy change carries an implication for the people it affects._
2. Something understood from what is said or done, though not stated directly in words.
   - Simple: A meaning that is suggested but not said directly in words.
   - _The implication of his long silence was clear to everyone in the room._
   - _By implication, the report blamed management for the failure._
3. The condition of being shown to be involved in or connected to something, especially a crime.
   - Simple: The state of being involved in something, often a crime or wrongdoing.
   - _The witness's testimony resulted in the manager's implication in the theft._
   - _He feared implication in a plot he knew nothing about._
4. The action of showing or suggesting that someone is involved in a crime or wrongdoing.
   - Simple: The act of showing that someone is involved in something wrong.
   - _The prosecutor's implication of the senator dominated the evening news._
   - _His careless implication of innocent bystanders damaged the entire investigation._
5. The relationship by which one thing follows necessarily from another as a logical consequence.
   - Simple: Something that must be true because of other things that are already true.
   - _Each premise leads by implication to the final conclusion._
   - _The theorem's implication holds for every case that meets the stated conditions._
6. A connective in propositional logic joining two statements A and B to mean that if A is true, B is true.
   - Simple: A logic link between two statements meaning that if the first is true, the second is true too.
   - _The implication A → B is false only when A is true and B is false._
   - _Each implication in the proof connects a hypothesis to its result._

## Origin

This word came through Middle French "implication" from Latin "implicationem," the accusative of "implicatio." It is equivalent to "implicate" plus the suffix "-ion."

Source: DictionaryAI, https://dictionaryai.com/define/implication (written from Wiktionary data, CC BY-SA 4.0: https://creativecommons.org/licenses/by-sa/4.0/).