oath, swear, swear by

Definition

In the Bible, an oath is a formal promise to do something. The person making the oath is required to fulfill that promise.

In the Bible, the term "swear" means to speak an oath.
The term "swear by" means to use the name of something or someone as the basis or power on which the oath is made.
Sometimes these terms are used together as in, "swear an oath."
Abraham and Abimelech swore an oath when they made a covenant together concerning the use of a well.
Abraham told his servant to swear (formally promise) that he would find Isaac a wife from among Abraham's relatives.
God also made oaths in which he made promises to his people.
A modern-day use of the word "swear" means to use foul language. This is not its meaning in the Bible.

Depending on the context, "an oath" could also be translated as "a pledge" or "a solemn promise."
"To swear" could be translated by "to formally promise" or "to pledge" or "to commit to do something."
Other ways to translate "swear by my name" could include, "make a promise using my name to confirm it." To "swear by heaven and earth" could be translated as, "promise to do something, stating that heaven and earth will confirm it."
Make sure the translation of "swear" or "oath" does not refer to cursing. In the Bible it does not have that meaning.