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The NIV Study Bible, Zondervan, 1985 clearly recognizes the truth about the lesser meaning of theos and elohim ('a god'):
"In the language of the OT ... rulers and judges, as deputies of the heavenly King, could be given the honorific title ‘god’ ... or be called ‘son of God’.” - footnote for Ps. 82:1.
And, in the footnote for Ps. 45:6, this trinitarian study Bible tells us: “In this psalm, which praises the [Israelite] king ..., it is not unthinkable that he was called ‘god’ as a title of honor (cf. Isa. 9:6).”
The New International Dictionary of New Testament Theology, Zondervan, 1986, tells us:
“The reason why judges are called ‘gods’ in Ps. 82 is that they have the office of administering God’s judgment as ‘sons of the Most High’. In context of the Ps. the men in question have failed to do this.... On the other hand, Jesus fulfilled the role of a true judge as a ‘god’ and ‘son of the Most High’.” - Vol. 3, p. 187.
The highly respected (and highly trinitarian) W. E. Vine tells us:
“The word [theos, ‘god’ or ‘God’] is used of Divinely appointed judges in Israel, as representing God in His authority, John 10:34” - p. 491, An Expository Dictionary of New Testament Words.
Young’s Analytical Concordance of the Bible, Eerdmans, 1978 Reprint, “Hints and Helps to Bible Interpretation”:
“65. GOD - is used of any one (professedly) MIGHTY, whether truly so or not, and is applied not only to the true God, but to false gods, magistrates, judges, angels, prophets, etc., e.g. - Exod. 7:1; 15:11; 21:6; 22:8, 9;...Ps. 8:5; 45:6; 82:1, 6; 97:7, 9...John 1:1; 10:33, 34, 35; 20:28....”
Strong’s Exhaustive Concordance of the Bible, Abingdon, 1974 printing,
“430. [elohim]. el-o-heem’; plural of 433; gods in the ordinary sense; but spec. used (in the plur. thus, esp. with the art.) of the supreme God; occasionally applied by way of deference to magistrates; and sometimes as a superlative: - angels, ... x (very) great, judges, x mighty.” - p. 12, “Hebrew and Chaldee Dictionary.”
The New Brown-Driver-Briggs-Gesenius Hebrew-English Lexicon, 1979, Hendrickson, p. 43:
Elohim: “a. rulers, judges, either as divine representatives at sacred places or as reflecting divine majesty and power.... b. divine ones, superhuman beings including God and angels.... c. angels Ps. 97 7 ...”
