The Transformation of the Concept of Divine Infinity in the Greek Tradition: With Emphasis on the Theology of  Gregory of Nyssa 

Abstract
The concept of infinity has deep roots in ancient Greek thought, yet its historical development does not exhibit a continuous evolution. This article traces the ontological-theological trajectory of infinity in Greek philosophy and its transformation into a divine attribute, with emphasis on Gregory of Nyssa's theology. Greek thinkers employed apeiron to denote both quantitative and qualitative infinity, though the latter predominates in theological contexts. Plato and Aristotle rejected divine infinity as incompatible with perfection, equating it with formlessness and deficiency. By contrast, Philo of Alexandria and Plotinus initiated a crucial shift by attributing infinity to God, linking it to divine incomprehensibility and transcendence. Gregory of Nyssa represents the culmination of this development, being the first thinker to offer a detailed account of divine infinity. His theology, however, remains ambiguous: while some passages suggest God is infinite in essence, others emphasize divine incomprehensibility within a negative theological framework. Gregory's approach oscillates between ontological and epistemological interpretations, ultimately employing infinity to articulate divine transcendence and the human spiritual journey toward God. The study concludes that Gregory's notion of divine infinity, though conceptually imprecise, significantly transformed Christian theology by establishing infinity as a primary divine attribute.
Keywords: Divine Infinity, Greek Philosophy, Apeiron, Gregory of Nyssa, Negative Theology, Divine Incomprehensibility
Introduction
The concept of infinity constitutes one of the most profound and challenging notions in the history of Western thought. Its trajectory from pre-Socratic philosophy to Christian theology reveals a complex transformation in which a mathematical and cosmological concept gradually acquired theological significance. Unlike other fundamental philosophical concepts, the history of infinity in ancient Greek thought does not follow a continuous development but exhibits diverse and sometimes contradictory interpretations. Pre-Socratic philosophers, particularly Anaximander, conceived of the apeiron as the originating principle of all things, possessing both ontological and ethical significance. The Pythagoreans, by contrast, adopted a negative attitude toward infinity, emphasizing its association with indeterminacy and imperfection.
The decisive turn regarding divine infinity came with Plato and Aristotle, who rejected its attribution to God on the grounds that infinity entails formlessness and imperfection. For them, determination and form were essential to perfection, and God, as the most perfect being, could not be characterized by the absence of form. This view, however, was challenged by the Neoplatonic tradition, particularly Plotinus, who identified the One as infinite precisely because it transcended all determination. Philo of Alexandria, drawing on Jewish theological resources, also contributed to this transformation by linking divine infinity with incomprehensibility. This article examines the transformation of divine infinity from Greek philosophy to Gregory of Nyssa's theology. The central question is: How did infinity, initially viewed as a mark of imperfection, become a primary attribute of God? By tracing these developments, the article demonstrates that Gregory played a pivotal role in establishing divine infinity as a cornerstone of Christian theology.
The Development of Divine Infinity in Greek Philosophy
Pre-Socratic and Platonic-Aristotelian Perspectives. The earliest Greek thinkers engaged with infinity primarily as a cosmological principle. Anaximander identified the apeiron as the origin of all things—a principle unlimited in time and space, governing the cosmos in a quasi-divine manner. However, it remained unclear whether this apeiron was material, abstract, or divine. For Anaximander, infinity denoted the absence of limitation rather than a positive attribute.
Plato and Aristotle fundamentally rejected this conception. For Plato, indeterminacy signified deficiency requiring the formative activity of the Demiurge. Form and determination were essential to being. Aristotle defined infinity in quantitative terms and denied the existence of actual infinity, viewing it as merely potential. Consequently, God, as the most perfect being, could not be infinite. This view dominated Western thought for centuries.
The Neoplatonic Reversal. The crucial shift toward affirming divine infinity occurred within Neoplatonism. Philo of Alexandria was among the first to explicitly attribute infinity to God, arguing that God is incomprehensible precisely because he is infinite, transcending all spatial and temporal limitations. Philo's innovation lay in linking divine infinity with incomprehensibility, providing an epistemological rationale for negative theology.
Plotinus completed this reversal by identifying the One as infinite. For Plotinus, determination was precisely what limited and diminished perfection. The One, as the ultimate principle, transcended all determination; its infinity was a mark of absolute transcendence. However, Plotinus also applied infinity to matter and evil, indicating the concept was not univocally attributed to the divine. Despite this ambiguity, Plotinus paved the way for Christian theologians to conceive of God as infinite without sacrificing divine perfection.
Gregory of Nyssa and the Theology of Divine Infinity
The Ambiguity of Divine Infinity in Gregory's Thought. Gregory of Nyssa stands as the first Christian theologian to offer a detailed account of divine infinity. He repeatedly affirms that God is infinite and considers this attribute essential to the divine nature. In his Contra Eunomium, he emphasizes the ontological chasm between uncreated and created natures: one is finite, the other infinite. This contrast underscores divine transcendence and the inadequacy of human concepts.
However, scholars disagree on Gregory's precise meaning. One interpretation holds that God's essence itself is infinite, ontologically unlimited. Another interpretation suggests that Gregory's language functions within negative theology, emphasizing that God is incomprehensible and beyond all names. The article argues that both interpretations find textual support, reflecting the inherent difficulty of the concept rather than a deficiency in Gregory's thought. He employs apeiron in multiple senses without clearly distinguishing them. This imprecision does not diminish his contribution: he established divine infinity as a central theological category.
The Epistemological and Ontological Dimensions. Gregory's treatment encompasses both epistemological and ontological dimensions. Epistemologically, divine infinity entails incomprehensibility: because God is infinite, the human mind cannot fully grasp his essence. Gregory employs Moses' ascent of Mount Sinai to illustrate this: Moses continually ascends toward God, yet the journey never ends because God is infinite. This vision of endless progress (epektasis) becomes central to Gregory's spiritual theology, shaping human perfection as endless participation in the infinite divine life.
Ontologically, divine infinity serves to protect divine transcendence and absolute perfection. If God were finite, he would be limited by something beyond himself, compromising his perfection. Gregory argues that conceiving God as finite implies something greater encompasses him. The only way to preserve divine perfection is to affirm that God is infinite, transcending all limitations. This ontological reading points toward God as the absolute ground of all being.

Conclusion
This study has traced the transformation of divine infinity from Greek philosophy to Gregory of Nyssa's theology. The concept underwent a significant reversal: from being viewed as a mark of imperfection in Platonic and Aristotelian thought, it became a primary attribute of divine perfection in Neoplatonism and Christian theology. Gregory played a pivotal role, being the first thinker to offer a detailed treatment of divine infinity and incorporate it into a comprehensive theological vision.
Gregory's contribution remains conceptually ambiguous. He employs apeiron in multiple senses—ontological infinity, qualitative transcendence, and epistemological incomprehensibility. This ambiguity reflects the inherent difficulty of the concept rather than a deficiency in Gregory's thought. What is clear is that Gregory established divine infinity as a cornerstone of Christian theology, linking it to both divine transcendence and human spiritual transformation.
The implications extend beyond intellectual history. Gregory's vision of endless progress toward the infinite God offers a profound account of human perfection as dynamic participation in an infinite good rather than attainment of a finite end. This vision shaped subsequent Christian theology, influencing thinkers from Maximus the Confessor to modern theologians. The concept of divine infinity, transformed from a Greek philosophical notion into a central Christian teaching, continues to challenge and inspire theological reflection on the nature of God and the human relationship to the divine.

References
Aristotle. (1999). Samāʿ-e Ṭabīʿī (Fīzīk) (M. Ḥ. Loṭfī, Trans.). Ṭarḥ-e Now. [In Persian]
Geljon, A.-K. (2005). Divine infinity in Gregory of Nyssa and Philo of Alexandria. Vigiliae Christianae, 59(2), 152–177.
Gregory of Nyssa. (1978). The life of Moses (A. J. Malherbe & E. Ferguson, Trans.).
Gregory of Nyssa. (1999). Saint Gregory of Nyssa: Ascetical works (V. W. Callahan, Trans.). The Catholic University of America Press.
Gregory of Nyssa. (2007). Contra Eunomium II (S. G. Hall, Trans.). Brill.
Gregory of Nyssa. (2023). On the human image of God. Oxford University Press.
Huffman, C. (2005). Archytas of Tarentum: Pythagorean, philosopher and mathematician king. Cambridge University Press.
Jaeger, W. (1936). The theology of the early Greek philosophers. Oxford University Press.
Motia, M. (2022a). Imitations of infinity: Gregory of Nyssa and the transformation of mimesis. University of Pennsylvania Press.
Motia, M. (2022b). Dionysius and Gregory of Nyssa. In M. Edwards (Ed.), The Oxford handbook of Dionysius the Areopagite. Oxford University Press.
Sweeney, L. (1992). Divine infinity in Greek and medieval thought. Peter Lang.
Żiāʾī, A. A. (2021). Moʿżal-e Bī-Nihāyat dar Riyāżīyāt va Falsafeh. Intishārāt-e Beyn al-Melalī-ye Amīn. [In Persian]