¹ tn Grk “he”; the referent (God) has been specified in the translation for clarity.

² tn Grk “subjected.”

³ tn Grk “his”; the referent (Christ) has been specified in the translation for clarity.

⁴ sn An allusion to Ps 8:6.

⁵ tn Grk “and he gave him as head over all things to the church.”

⁶ tn Grk “walk.” The NT writers often used the verb “walk” (περιπατέω, peripatew) to refer to ethical conduct (cf. Rom 8:4; Gal 5:16; Col 4:5).

⁷ tc A number of important witnesses have ὑμᾶς (Jumas, “you”; e.g., א* A B P 0159 81 1175 al it co as well as several fathers). Other, equally important witnesses read ἡμᾶς (Jhmas, “us”; Ì⁴⁶ א² D F G Ψ 0278 33 1739 1881 al lat sy). It is possible that ἡμᾶς was accidentally introduced via homoioarcton with the previous word (ἠγάπησεν, hgaphsen). On the other hand, ὑμᾶς may have been motivated by the preceding ὑμῖν (Jumin) in 4:32 and second person verbs in 5:1, 2. Further, the flow of argument seems to require the first person pronoun. A decision is difficult to make, but the first person pronoun has a slightly greater probability of being original.

⁸ tn Grk “an offering and sacrifice to God as a smell of fragrance.” The first expression, προσφορὰν καὶ θυσίαν (prosforan kai qusian), is probably a hendiadys and has been translated such that “sacrificial” modifies “offering.” The second expression, εἰς ὀσμὴν εὐωδίας (ei" osmhn euwdia", “as a smell of fragrance”) has been translated as “a fragrant offering”; see BDAG 728-29 s.v. ὀσμή 2. Putting these two together in a clear fashion in English yields the translation: “a sacrificial and fragrant offering to God.”