Why are the words "sufficient condition" and "necessary condition" in mathematics so named?

"Sufficient conditions" and "necessary conditions" are two concepts commonly used in mathematics. They respectively represent the sufficiency and necessity of a certain event.

Among them, "sufficient condition" means that when a certain condition is established, the occurrence of the event can be fully guaranteed. In other words, when this condition is met, the event will definitely occur without meeting other conditions. The English word of this word is "sufficient condition", which means "sufficient condition", so it is translated into Chinese as "sufficient condition".

"Necessary condition" means that when a certain condition is established, the event will definitely occur, otherwise the event will not occur. In other words, this condition is a necessary condition for the event to occur. The English of this word is "necessary condition", which means "necessary condition", so it is translated into Chinese as "necessary condition".

Therefore, literally, "sufficient condition" means that a certain condition is sufficient and sufficient, while "necessary condition" means that a certain condition is necessary and sufficient.