What does Genesis 22:14 mean?
Abraham has just passed an enormously difficult test of his trust in God. Abraham obeyed God's seemingly cruel command to sacrifice his son, Isaac (Genesis 22:1–2), up to the moment where God intervenes to prevent the act from happening (Genesis 22:11–12). After commanding Abraham not to sacrifice his only son, the Lord provided a substitute sacrifice, a ram. (Genesis 22:13) Abraham commemorated the place by naming the mountain. He called it "The Lord will provide."The phrase "to this day," is a reference to the writing of the book of Genesis. So, at least until that point, the name given to the mountain by Abraham stuck. It was the mountain of "The LORD will provide." It became a saying, apparently: "On the mountain of the LORD, it will be provided."
It was not unusual in Genesis for a name to be changed in order to mark a significant event or interaction with the Lord. Beersheba had been named for the oath that included Abraham's well (Genesis 21:31). Bela had been renamed Zoar when Lot and his daughters took refuge from God's judgment there (Genesis 19:22). And Abraham and Sarah both had been renamed by God on the day He revealed to Abraham that Isaac would soon be born (Genesis 17:5; 17:15).