Explanation of 'Ungenerate,' and a 'study' of Eternity
But there is not, neither shall there be, in the Church of God a teaching such as that, which can make One who is single and incomposite not only multiform and patchwork, but also the combination of opposites. The simplicity of the True Faith assumes God to be that which He is, viz., incapable of being grasped by any term, or any idea, or any other device of our apprehension, remaining beyond the reach not only of the human but of the angelic and of all supramundane intelligence, unthinkable, unutterable, above all expression in words, having but one name that can represent His proper nature, the single name of being 'Above every name '; which is granted to the Only-begotten also, because “all that the Father has is the Son's.” The orthodox theory allows these words, I mean “Ungenerate,” “Endless,” to be indicative of God's eternity, but not of His being; so that “Ungenerate” means that no source or cause lies beyond Him, and “Endless” means that His kingdom will be brought to a standstill in no end. “You are the same,” the prophet says, “and Your years shall not fail,” showing by “art” that He subsists out of no cause, and by the words following, that the blessedness of His life is ceaseless and unending.
But, perhaps, some one among even very religious people will pause over these investigations of ours upon God's eternity, and say that it will be difficult from what we have said for the Faith in the Only-begotten to escape unhurt. Of two unacceptable doctrines, he will say, our account must inevitably be brought into contact with one. Either we shall make out that the Son is Ungenerate, which is absurd; or else we shall deny Him Eternity altogether, a denial which that fraternity of blasphemers make their specialty. For if Eternity is characterized by having no beginning and end, it is inevitable either that we must be impious and deny the Son Eternity, or that we must be led in our secret thoughts about Him into the idea of Ungeneracy. What, then, shall we answer? That if, in conceiving of the Father before the Son on the single score of causation, we inserted any mark of time before the subsistence of the Only-begotten, the belief which we have in the Son's eternity might with reason be said to be endangered. But, as it is, the Eternal nature, equally in the case of the Father's and the Son's life, and, as well, in what we believe about the Holy Ghost, admits not of the thought that it will ever cease to be; for where time is not, the “when” is annihilated with it. And if the Son, always appearing with the thought of the Father, is always found in the category of existence, what danger is there in owning the Eternity of the Only-begotten, Who “has neither beginning of days, nor end of life.” For as He is Light from Light, Life from Life, Good from Good, and Wise, Just, Strong, and all else in the same way, so most certainly is He Eternal from Eternal.
But a lover of controversial wrangling catches up the argument, on the ground that such a sequence would make Him Ungenerate from Ungenerate. Let him, however, cool his combative heart, and insist upon the proper expressions, for in confessing His 'coming from the Father?' he has banished all ideas of Ungeneracy as regards the Only-begotten; and there will be then no danger in pronouncing Him Eternal and yet not Ungenerate. On the one hand, because the existence of the Son is not marked by any intervals of time, and the infinitude of His life flows back before the ages and onward beyond them in an all-pervading tide, He is properly addressed with the title of Eternal; again, on the other hand, because the thought of Him as Son in fact and title gives us the thought of the Father as inalienably joined to it, He thereby stands clear of an ungenerate existence being imputed to Him, while He is always with a Father Who always is, as those inspired words of our Master expressed it, “bound by way of generation to His Father's Ungeneracy.” Our account of the Holy Ghost will be the same also; the difference is only in the place assigned in order. For as the Son is bound to the Father, and, while deriving existence from Him, is not substantially after Him, so again the Holy Spirit is in touch with the Only-begotten, Who is conceived of as before the Spirit's subsistence only in the theoretical light of a cause. Extensions in time find no admittance in the Eternal Life; so that, when we have removed the thought of cause, the Holy Trinity in no single way exhibits discord with itself; and to It is glory due.
Source: Against Eunomius (New Advent)