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There does not seem to be one view. It is taken either as having a “temporal” significance or an “eschatological” one by Amillenials.
The Non-Millenarian View [1]
This takes us to the third point, and that is the meaning of the phrase “until the full number of the Gentiles has come in” (v. 25). Most commentators agree that Paul’s use of “until” (achri) has temporal significance and is intended to mark that period of time when Israel’s hardening ends and her fullness and acceptance begins.[53] Others, however, such as O. Palmer Robertson, insist that the term has an eschatological significance and is indicative of a condition that continues until the end.[54] The key here is Paul’s phrase “the full number of the Gentiles.” According to Anthony Hoekema, “The fullness here . . . must be understood in an eschatological way: the full number of Gentiles God intends to save. When that number of Gentiles has been gathered in, it will be the end of the age.”[55] Based on this interpretation, when the full number of elect believers among the Gentiles has come in, then Israel’s hardness will be removed, and Israel will attain the promised fullness and acceptance shortly before the return of Jesus Christ. This interpretation also comports with Jesus’s words that after God’s judgment falls on Israel and her people are scattered among the nations, “Jerusalem will be trampled on by the Gentiles until the times of the Gentiles are fulfilled” (Luke 21:24). Once the times of the Gentiles are fulfilled, God will remove Israel’s present hardness of heart, and the nation will at long last return to her Messiah.
[1] “A case for Amilennialism”, © 2003, 2013 by Kim Riddlebarger Published by Baker Books a division of Baker Publishing Group P.O. Box 6287, Grand Rapids, MI 49516-6287 www.bakerbooks.com