Point One:
"Theism, as a way of defining God, is dead. So most theological God-talk is today meaningless. A new way to speak of God must be found."
I agree with this because I don't believe that we can effectively 'speak of God' from any fixed, agreed upon definition of 'God' as a 'being'.
I rather think such a way already exists, and has been central to theological development since about the 5th century.
Apophatic theology.
I suggest this because I think everything you're looking for, and more, is there.
Dionysius (5th century) describes the kataphatic or affirmative way to the divine as the 'way of speech': that we can come to some understanding of the Transcendent by attributing all the perfections of the created order to God as its source. In this sense, we can say "God is Love", "God is Beauty", "God is Good". The apophatic or negative way stresses God's absolute transcendence and unknowability in such a way that we cannot say anything about the divine essence because God is so totally beyond being and therefore beyond knowing — God cannot be perceived by the intellect, but can be conceived by the intellect.
This two-fold path speaks of the immanence and transcendence of God and help us understand the simultaneous truth of both "ways" to God: at he same time as God is immanent, God is also transcendent. At the same time as God is knowable, God is also unknowable. God cannot be thought of as one or the other only — and the statements of one balances the statements of the other.
Dionysius is regarded as the founder of the apophatic tradition, but it's champion was Maximus the Confessor (6thc).
The Book of Revelation 8:1 mentions "the silence of the perpetual choir in heaven."
The silence of the perpetual choir in heaven has mystical connotations, because the heights of mystical experience end in 'darkness', 'silence', 'unknowing', etc.
The term "silence" alludes to the "still small voice" (1 Kings 19:12) whose revelation to Elijah on Mount Horeb rejected visionary imagery by affirming a negative theology.
God's appearance to Moses in the burning bush was treated as an apophatic revelation by Gregory of Nyssa (4thc), realizing the fundamental unknowability of God, who says "I am that I am".
Clement of Alexandria (2ndc) was an early proponent of apophatic theology. In Clement's writings the term 'theoria' develops further from a mere intellectual "seeing" toward a spirutal form of contemplation. For Clement, God is transcendent and immanent.
According to Tertullian (2ndc):
"That which is infinite is known only to itself. This it is which gives some notion of God, while yet beyond all our conceptions – our very incapacity of fully grasping Him affords us the idea of what He really is. He is presented to our minds in His transcendent greatness, as at once known and unknown."
Cril of Jerusalem (4thc), in his Catechetical Homilies, states:
"For we explain not what God is but candidly confess that we have not exact knowledge concerning Him. For in what concerns God to confess our ignorance is the best knowledge."
Augustine of Hippo explored this idea at a very subjective level ... too many references to choose from.
My favourite is the utterly staggering statement to the catechumenate in Sermon 272. Of the Eucharist, he said: "Be what you see; receive what you are."
In Acts 17, St Paul, speaking to the court of the Areopagus in Athens, makes a reference to an altar-inscription, dedicated to the Unknown God. For Paul, Jesus Christ is this unknown God:
"No man hath seen God at any time: the only begotten Son who is in the bosom of the Father, he hath declared him" (John 1:18)
"And the Father himself who hath sent me, hath given testimony of me: neither have you heard his voice at any time, nor seen his shape"
(John 5:37)
One could say that when Christ speaks of God, it is the apophatic God, buut when He speaks of Himself, it is the kataphatic:
"And he that seeth me, seeth him that sent me" (John 12:45)
"Jesus saith to him: Have I been so long a time with you; and have you not known me? Philip, he that seeth me seeth the Father also. How sayest thou, shew us the Father?" (John 14:9).
In Orthodox Christianity apophatic theology is taught as superior to cataphatic theology.
The 4thc Cappadocian Fathers stated a belief in the existence of God, but an existence unlike that of everything else: everything else that exists was created, but the Creator transcends this existence, is uncreated. The essence of God is completely unknowable. Gregory of Nyssa (4thc), John Chrysostom (4thc), Basil the Great (4thc) emphasized the importance of negative theology to an orthodox understanding of God. John of Damascus (c7thc) employed negative theology when he wrote that positive statements about God reveal "not the nature, but the things around the nature."
Eastern Orthodoxy regards positive theology as always inferior to negative theology, which is a step along the way to the superior knowledge attained by negation. This is expressed in the idea that mysticism is the expression of dogmatic theology par excellence.
John Scotus Erigena (9thc) wrote:
"We do not know what God is. God Himself does not know what He is because He is not anything [i.e., "not any created thing"]. Literally God is not, because He transcends being."
Theologians like Meister Eckhart and Saint John of the Cross exemplify some aspects of or tendencies towards the apophatic tradition in the West. The anonymous Cloud of Unknowing and Saint John's Dark Night of the Soul are particularly well known. In 1215 apophatism became the official position of the Catholic Church, which, on the basis of Scripture and church tradition, during the Fourth Lateran Council formulated the following dogma:
"Between Creator and creature no similitude can be expressed without implying an even greater dissimilitude."
Aquinas (13thc) said:
"God is not absolutely unknowable, and yet it is true that we cannot define Him adequately. But we can conceive and name Him in an "analogical way". The perfections manifested by creatures are in God, not merely nominally (equivoce) but really and positively, since He is their source. Yet, they are not in Him as they are in the creature, with a mere difference of degree, nor even with a mere specific or generic difference (univoce), for there is no common concept including the finite and the Infinite. They are really in Him in a supereminent manner (eminenter) which is wholly incommensurable with their mode of being in creatures. We can conceive and express these perfections only by an analogy; not by an analogy of proportion, for this analogy rests on a participation in a common concept, and, as already said, there is no element common to the finite and the Infinite; but by an analogy of proportionality."
C.S. Lewis, in his book Miracles (1947), advocates the use of negative theology when first thinking about God, in order to cleanse our minds of misconceptions. He goes on to say we must then refill our minds with the truth about God, untainted by mythology, bad analogies or false mind-pictures.
In short, there is a 'way of talking' about God which is exactly what you're looking for. It begins with St Paul: "We see now through a glass in a dark manner; but then face to face. Now I know in part; but then I shall know even as I am known" (1 Corinthians 13:12) and is there in – to my mind – the more luminous: "Dearly beloved, we are now the sons of God; and it hath not yet appeared what we shall be. We know, that, when he shall appear, we shall be like to him: because we shall see him as he is" (1 John 3:2).
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