Right - not initiate or effect but, nevertheless, choose to believe. Paul explicitly differentiates faith and works. There is nothing whatsoever in faith that constitutes work. That is the import of Paul's words in Romans 4:1-5
But the will is the intention. The etymology is from the Latin, meaning to stretch forth a line "in tension" toward the object as the subject of the mind.
An unrenewed mind cannot stretch forth the will to THE object as subject. THE object is God's hypostasis spoken forth. Faith must be given to us, just as repentance must be granted. This is the necessary Monergism of God's eternality for us to be changed. We cannot change the CONDITION of our hearts and minds; only the directive of the mind to apply the will. Monergism must enable the Synergism by filling the void that is the sin condition and the dysfunction that is "evil".
Without the initating function of Monergism, man would be helpless. But man was originally created in God's image, so this Monergistic restoration enables the Synergism for man to be empowered to become the sons of God and bring forth imputed righteousness from within the translated inner man to be accomplished by the members as the outer man.
It's not an either-or dichotomy, but it requires Monergism to resurrect the original Synergism of man that was idled and disabled my spiritual death and sin in Eden. Man can never cooperate with God unto righteousness without the initiative of Monergism.
Calvinists over-emphasize God's Monergism to the point of negating man's responsibllity that accompanies the privilege of everlasting life in Christ. This can deny our resurrection in a practical sense.
Arminians over-emphasize man's Synergism as though it was also initiative rather than being cooperation after regeneration and resurrection within. This can deny God's sovereignty.
It's either an inordinant focus on the inner man or on the outer man. Functionally for us, it's sequential. Actually for God, it's simultaneous in a timeless sense. For us there is an Ordo Salutis (order of salvation). We're in created time and space. For God there is no Ordo Salutis; because He is timeless and not spatially constrained or contained.
anarthrous of the articular?
Yes. Anarthrous nouns aren't another noun. They are the quality, character, and activity (functionality) of the articular noun.
The sin (articular singular) is the condition. Sin (anarthrous singular) is each individual inner qualitative characteristic and dysfunctional activity of that condition. Same condition. Same noun. Different reference. One is merely and specifically the inner condition. The other is every facet of that inner condition. (Plural articular is any/all of the inner qualitative characteristics and dysfunctional activities of the sin condition. None of this is outward acting or action as behavior... YET.)
I'm not following your last paragraph.
One cannot quantify something that is qualitative. English speakers have a really difficult time with this. We quantify everything.
Once God Monergistically initiates the mechanical processes of our new creation reality in this still-fallen cosmos, then His Monergism is delegated to us AS our Synergism. Our inheritance literally includes His Monergism AS our Synergism. They're not blended or distinguishable in any manner. Not "glued" together like two boards. Not shuffled together like a deck of cards. Not blended like in a cuisinart.
We become joined to the God and Father by being hypostatically translated into Christ. We have access BY faith into the grace in which we stand. Our Synergism is the gift of His Monergism being delegated to us in a functional sense while we yet physically live.