Of Learned Ignorance

by Nicholas Kryfts

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Analysis

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Historical Context

Nicholas of Cusa was a remarkable figure who straddled the realms of action and intellectual speculation with equal diligence. His career within the Roman Catholic Church was marked by his involvement in reform efforts and ecclesiastical diplomacy, holding esteemed positions such as Cardinal and Bishop of Brixen. Yet, it was his metaphysical theological pursuits that cemented his legacy, blending the philosophical currents of his time with the works of predecessors like Johannes Scotus Erigena, Meister Eckhart, and pseudo-Dionysius the Areopagite. This synthesis profoundly influenced thinkers such as Giordano Bruno, particularly evident in Bruno’s work, De la causa, principio e uno (Concerning the Cause, Principle, and One).

Among Nicholas’s contributions, Of Learned Ignorance stands out as his most significant treatise. This work is an intriguing attempt to reconcile the Neoplatonism that dominated medieval thought with the burgeoning confidence in empirical inquiry and intellectual reasoning. Although Nicholas’s reconciliation is not entirely convincing from a logical standpoint, it underscores the revelatory power of mystical intuition. For those grappling with the challenge of uniting an infinite God with a seemingly finite universe, Nicholas's exploration of "learned ignorance" proved invaluable.

The treatise unfolds across three books, each unified by an exploration of the concept of the maximum, or the greatest. In the first book, Nicholas delves into the "absolute maximum," or God, who embodies the ultimate greatness as the one who is both singular and universal. Here, the divine is depicted as omnipresent, with all things existing in God, and God present within all things. This inquiry is described by Nicholas as existing "above reason," transcending the ordinary bounds of human comprehension.

The second book shifts focus to the maximum effect of this absolute maximum, which Nicholas identifies as the universe itself. This universe is portrayed as a multiplicity that nonetheless maintains a relative unity, a reflection of the divine order within the material realm.

The third book completes the philosophical journey, examining the maximum that is both relative and absolute, epitomized in the figure of Jesus. In this context, Jesus represents the perfect realization of the finite plurality of the universe, embodying the divine convergence of the infinite and finite.

A Learned Ignorance

Nicholas delves into the intrinsic human yearning for knowledge, highlighting a fundamental obstacle: the persistent presence of ignorance. This quest for understanding often confronts the unattainable, such as the infinite, which defies comparison and comprehension. The challenge, then, is to redirect this pursuit towards the awareness of one's own ignorance, echoing the wisdom of Socrates. By doing so, individuals can cultivate what Nicholas terms a "learned ignorance," wherein the acknowledgment of one's limitations becomes a stepping stone towards greater understanding.

In his exploration, Nicholas asserts that finite intellects inherently rely on comparisons to grasp concepts, aligning with the Pythagorean insight that numbers offer a lens through which many things are comprehended. However, when it comes to grasping the absolute infinite, this method falters, as the infinite transcends all forms of comparison. Recognizing the "quiddity" or essential nature of things as beyond our intellectual reach serves as a vital step towards truth. This realization that ultimate being and its truth surpass human understanding does not lead to despair but rather enriches the pursuit of knowledge.

The Absolute Maximum

The notion of comprehending the absolute maximum, often associated with God, presents an intriguing intellectual challenge. While complete understanding remains elusive, Nicholas of Cusa posits that some knowledge about this concept is within our grasp. Crucially, one can acknowledge that the intricacies of the absolute maximum lie beyond the realm of human comprehension. However, this realization itself forms a part of what we can understand.

Intriguingly, Nicholas...

(This entire section contains 409 words.)

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posits that the absolute maximum simultaneously embraces the absolute minimum. This fascinating idea is supported by his argument: "By definition, the minimum is that which cannot be less than it is; and since that is also true of the maximum, it is evident that the minimum is identified with the maximum." From this perspective, the absolute maximum encompasses all that it can be, epitomizing both the greatest and smallest possible extents. As the absolute, it inherently possesses the capacity to be both maximum and minimum. In essence, the maximum embodies absolute unity because unity itself is the smallest number, or the minimum. God, as an infinite unity, transcends degrees of "more" or "less," establishing the maximum as an infinite singularity.

In exploring these philosophical depths, Nicholas presents a variant of the cosmological argument. He suggests that finite beings, as effects, could not have engendered themselves. Thus, an absolute maximum—independent of any causative factors and without which nothing else could exist—is necessary. This argument provides a foundation for understanding the necessity of an ultimate cause or existence beyond the finite realm.

Nicholas further expands on this foundation by introducing a conception of the Trinity, drawing from Pythagorean principles. According to him, unity inherently forms a trinity. This is because diversity necessitates unity—consider how the number two comprises two ones. Similarly, inequality presupposes equality, which, in turn, relies on unity, while connection fundamentally depends on unity, as division implies duality. Thus, diversity, inequality, and division are inseparably linked to unity, equality, and connection. These latter three elements are inherently unities, yet unity remains singular. Thus, unity manifests as a trinity through its aspects of non-division, distinction, and connection.

Through these explorations, Nicholas of Cusa challenges us to reconsider the boundaries of human understanding. His reflections on the absolute maximum, enriched by the notions of the absolute minimum and the Trinity, invite a profound contemplation of the infinite and the nature of divine unity. In this intellectual journey, the mystery of the absolute remains an ever-present horizon, inviting continuous reflection and wonder.

The Line, the Triangle, and the Circle

In exploring the relationship between the visible and the invisible, Nicholas of Cusa believed that mathematical images can offer profound insights. These images help bridge the finite and the infinite, echoing Pythagoras' idea that numbers unlock truths. Nicholas utilized various forms like the line, triangle, and circle to probe philosophical concepts, particularly the nature of God, whom he referred to as the absolute maximum.

The Infinite Line

In Nicholas of Cusa's metaphysical framework, the infinite line stands as a metaphorical cornerstone. He proposed that an infinite line could simultaneously embody a straight line, a triangle, a circle, and even a sphere. This stems from the observation that as a circle's circumference grows larger, the curve lessens until, theoretically, it becomes a straight line. Although logically a curve and a straight line remain distinct, Nicholas used this metaphor to imply that disparate entities merge in infinity.

Triangles and Their Expansions

Building further on geometric principles, Nicholas explored the triangle's transformation. By fixing one end of a line and moving the other, a triangle can be formed, though in truth, this creates a circular segment. Extending the line indefinitely results in a circle, and a half-circle revolving on an axis becomes a sphere. An infinite triangle, with its sides extending endlessly, would ultimately be indistinguishable from a line, suggesting a trinitarian resemblance to the absolute maximum.

Nicholas asserted that an infinite triangle would have three indistinct lines, analogous to three divine persons in a trinity. This conception involves imagining the triangle expanding with either changing or constant angle measures, illustrating his point that there cannot be multiple infinities. The peculiar use of "infinite" here underscores his argument that only one infinite can exist, akin to God.

Unity and Indivisibility

Through his geometric analogies, Nicholas illustrated the relationship between the absolute maximum and all existence. The infinite line, immutable and indivisible, shares essential features with finite lines, such as being undividable into anything other than lines. This unity mirrors the essence of the absolute maximum, which encompasses everything. Finite beings only participate in existence, while the essence of the absolute maximum transcends participation, erasing distinctions between the two.

The Circle and Divine Simplicity

The circle is emblematic of divinity in Nicholas's philosophy. Its attributes—perfection, unity, and lack of beginning or end—make it an ideal representation of the divine. By arguing that only a trinity can exist, Nicholas refuted the idea of a divine tetrad or more, aligning with the triangle's fundamental simplicity as the smallest geometric measure.

He further contended that in God's providence, seemingly contradictory elements reconcile. This divine foresight encompasses opposites, ensuring the absolute maximum exists within all beings and vice versa. Such proclamations resonated with his idea that God, as the infinite sphere, serves as the singular, simple explanation for the universe's existence and purpose.

God Beyond Distinctions

Concluding his exploration, Nicholas emphasized that all names for the absolute maximum are anthropomorphic and inadequate, as God transcends all distinctions. Thus, in his philosophical vision, the line, triangle, and circle are more than geometric shapes; they are profound symbols of the infinite divine, offering a mathematical reflection of the universe's ultimate truths.

Infinity and Unity

The profound interplay between infinity and unity forms the cornerstone of Nicholas of Cusa's thought. His metaphysical musings explore the ineffable nature of God and the interconnectedness of the universe, suggesting that true knowledge of the divine is found in acknowledging our ignorance. Nicholas embarks on a philosophical journey to demonstrate how the universe, in its immeasurable complexity, radiates from the absolute maximum that is God.

The Absolute Maximum and the Universe

Nicholas posits that God’s ineffability implies that negative propositions—statements that describe what God is not—are more accurate than affirmative ones. He emphasizes learned ignorance, a state of enlightened unknowing, as superior to presumptive positive knowledge. In his view, the universe's unity and infinity arise from an absolute maximum, a core principle whereby all things exist because of a timeless emanation from God's essential nature. This emanation reflects the universe's existence as both a principle and a maximum, though restricted compared to the boundlessness of God.

Unity in Plurality

The philosopher Anaxagoras's assertion that "everything is in everything" echoes through Nicholas's work, highlighting an intrinsic interconnection. God resides in all things through the universe, creating a scenario where "all is in all, and each in each." Each object contains the universe, though in a contracted or limited form, demonstrating a unity that is inherently pluralistic. This unity is not absolute but rather a relative unity, characterized by a trinity involving a limitable object, a limiting principle, and a connection, or potency, act, and the nexus.

The Four Modes of Being

Nicholas outlines four modes of being: the absolute necessity of God, the natural order of things, individual existences, and possibilities. He contends that while the world's soul contains all forms, these forms truly exist only in God’s Word. This perspective allows for a conceptual link between the soul and God, each possibility residing within the Absolute Possibility that is God, and every form or act in the Absolute Form, the Son of God, with every connection in the Holy Spirit.

The Divine Trinity

Nicholas's exploration of the Trinity further solidifies this unity. God encompasses potency, the Son represents act, and the Holy Spirit embodies connection, making God the efficient, formal, and final cause of all things. The cosmos and its celestial bodies move in harmony with this divine orchestration, yet the reasons behind their arrangement remain beyond human comprehension. In embracing learned ignorance and marveling at the mystery of divine order, one glimpses fragments of divine illumination.

Christ as the Absolute Maximum

In the third book, Nicholas focuses on Jesus Christ, whom he describes as "the maximum at once absolute and restricted." Human nature, encompassing both the sensible and intellectual, provides a unique bridge between the infinite and finite. As a microcosm of the universe, humanity achieves a perfected state that mirrors the perfection of all things. By uniting human nature with the divine, God enabled the reconciliation of the absolute maximum with the nature of all creation, embodied perfectly in Jesus.

Jesus and the Fulfillment of Unity

Nicholas defends traditional Christian dogmas through his mystical metaphysics, proclaiming Christ as God incarnate, conceived by the Holy Spirit, born of the Virgin Mary, resurrected after the Crucifixion, and ascended into heaven. In Christ, God uses human nature to achieve divine perfection, making Jesus the epitome of humanity perfected in God’s image. Consequently, the Church emerges as a manifestation of unity, where individuality is preserved without confusion of natures or degrees. Through Jesus, the Church and its members resolve into divine unity—a testament to God as the ultimate cause, principle, and unity.

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