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Catholic theology speaks of The Satiety of the Blessed in the following manner:
This state of satiety is always new and never passes away. St. Augustine writes: "All our life will be one Amen, one Alleluia. Sadden not yourselves by considering this truth in a carnal manner, as if in heaven, just as on earth, we could become weary by repeating the words: Amen, Alleluia. This heavenly Amen, this Alleluia, will not be expressed by sound which passes away, but by the emotions of love, the emotions of the soul embraced by love. "Amen" means "It is true." "Alleluia" means "praise God." God is the immovable truth, who knows neither defect nor progress, neither decline nor growth. He is truth, eternal and stable: truth forever incorruptible.
"We shall sing our Amen forever but with a satiety that is insatiable. With satiety, because we live in perfect abundance, but with an insatiable satiety, because this good, while it satisfies completely, produces also a pleasure ever new. Insatiably satiated by this truth, we shall repeat forever: Amen. Rest and gaze: that is our eternal Sabbath."
And St. JosemarΓa EscrivΓ‘ writes:
Think how pleasing to God Our Lord is the incense burnt in his honour. Think also how little the things of this earth are worth; even as they begin they are already ending. In Heaven, instead, a great Love awaits you, with no betrayals and no deceptions. The fullness of love, the fullness of beauty and greatness and knowledge... And it will never cloy: it will satiate, yet still you will want more. - The Forge, 995.
Therefore Catholic theology speaks of the satiety of the blessed in heaven that is always new, never passes away, is full and complete, yet still wants more i.e., it is an insatiable satiety.