3. Without father, &c.--explained by "without genealogy" (so the Greek is for "without descent); compare Heb 7:6, that is, his genealogy is not known, whereas a Levitical priest could not dispense with the proof of his descent.
      having neither beginning of days nor end of life--namely, history not having recorded his beginning nor end, as it has the beginning and end of Aaron. The Greek idiom expressed by "without father," &c., one whose parentage was humble or unknown. "Days" mean his time of discharging his function. So the eternity spoken of in Ps 110:4 is that of the priestly office chiefly.
      made like--It is not said that he was asbsolutely "like." Made like, namely, in the particulars here specified. Nothing is said in Genesis of the end of his priesthood, or of his having had in his priesthood either predecessor or successor, which, in a typical point of view, represents Christ's eternal priesthood, without beginning or end. Aaron's end is recorded; Melchisedec's not: typically significant. "The Son of God" is not said to be made like unto Melchisedec, but Melchisedec to be "made like the Son of God." When ALFORD denies that Melchisedec was made like the Son of God in respect of his priesthood, on the ground that Melchisedec was prior in time to our Lord, he forgets that Christ's eternal priesthood was an archetypal reality in God's purpose from everlasting, to which Melchisedec's priesthood was "made like" in due time. The Son of God is the more ancient, and is the archetype: compare Heb 8:5, where the heavenly things are represented as the primary archetype of the Levitical ordinances. The epithets, "without father," &c. "beginning of days, "nor end," "abideth continually," belong to Melchisedec only in respect to his priesthood, and in so far as he is the type of the Son of God, and are strictly true of Him alone. Melchisedec was, in his priesthood, "made like" Christ, as far as the imperfect type could represent the lineaments of the perfect archetype. "The portrait of a living man can be seen on the canvas, yet the man is very different from his picture." There is nothing in the account, Ge 14:18-20, to mark Melchisedec as a superhuman being: he is classed with the other kings in the chapter as a living historic personage: not as ORIGEN thought, an angel; nor as the Jews thought, Shem, son of Noah; nor as CALMET, Enoch; nor as the Melchisedekites, that he was the Holy Ghost; nor as others, the Divine Word. He was probably of Shemitic, not Canaanite origin: the last independent representative of the original Shemitic population, which had been vanquished by the Canaanites, Ham's descendants. The greatness of Abraham then lay in hopes; of Melchisedec, in present possession. Melchisedec was the highest and last representative of the Noahic covenant, as Christ was the highest and ever enduring representative of the Abrahamic. Melchisedec, like Christ, unites in himself the kingly and priestly offices, which Abraham does not. ALFORD thinks the epithets are, in some sense, strictly true of Melchisedec himself; not merely in the typical sense given above; but that he had not, as mortal men have, a beginning or end of life (?). A very improbable theory, and only to be resorted to in the last extremity, which has no place here. With Melchisedec, whose priesthood probably lasted a long period, the priesthood and worship of the true God in Canaan ceased. He was first and last king-priest there, till Christ, the antitype; and therefore his priesthood is said to last for ever, because it both lasts a long time, and lasts as long as the nature of the thing itself (namely, his life, and the continuance of God's worship in Canaan) admits. If Melchisedec were high priest for ever in a literal sense, then Christ and he would now still be high priests, and we should have two instead of one (!). THOLUCK remarks, "Melchisedec remains in so far as the type remains in the antitype, in so far as his priesthood remains in Christ." The father and mother of Melchisedec, as also his children, are not descended from Levi, as the Levitical priests (Heb 7:6) were required to be, and are not even mentioned by Moses. The wife of Aaron, Elisheba, the mother from whom the Levitical priests spring, is mentioned: as also Sarah, the original mother of the Jewish nation itself. As man, Christ had no father; as God, no mother.

JFB.