Hypostasis (philosophy and religion)

Hypostasis (plural: hypostases), from the Greek ὑπόστασις (hypóstasis), is the underlying state or underlying substance and is the fundamental reality that supports all else. In Neoplatonism the hypostasis of the soul, the intellect (nous) and "the one" was addressed by Plotinus. In Christian theology, the Holy Trinity consists of three hypostases: Hypostasis of the Father, Hypostasis of the Son, and Hypostasis of the Holy Spirit. Pseudo-Aristotle used hypostasis in the sense of material substance. Neoplatonists argue that beneath the surface phenomena that present themselves to our senses are three higher spiritual principles, or hypostases, each one more sublime than the preceding. For Plotinus, these are the Soul, the Intellect, and the One. Hypostatic union The term hypostasis has a particular significance in Christian theology, particularly in Christian Triadology (study of the Holy Trinity), and also in Christology (study of Christ). In Christian Triadology (study of the Holy Trinity) three specific theological concepts have emerged throughout history, in reference to number and mutual relations of divine hypostases: monohypostatic (or miahypostatic) concept advocates that God has only one hypostasis; dyohypostatic concept advocates that God has two hypostases (Father and Son); trihypostatic concept advocates that God has three hypostases (Father, Son and the Holy Spirit). The great majority of Christians, including Catholics, Eastern Orthodox, Oriental Orthodox, and most Protestants, consider trihypostatic Trinitarian doctrine to be definitively Christian, and thus consider other groups which claim to be Christian but do not adhere to this doctrine as "non-Christian". Within Christology, two specific theological concepts have emerged throughout history, in reference to the Hypostasis of Christ: monohypostatic concept (in Christology) advocates that Christ has only one hypostasis; dyohypostatic concept (in Christology) advocates that Christ has two hypostases (divine and human).

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Neoplatonism

Neoplatonism is a version of Platonic philosophy that emerged in the 3rd century AD against the background of Hellenistic philosophy and religion. The term does not encapsulate a set of ideas as much as a series of thinkers. Among the common ideas it maintains is monism, the doctrine that all of reality can be derived from a single principle, "the One". Neoplatonism began with Ammonius Saccas and his student Plotinus (c. 204/5–271 AD) and stretched to the 6th century AD.

Christian theology

Christian theology is the theology of Christian belief and practice. Such study concentrates primarily upon the texts of the Old Testament and of the New Testament, as well as on Christian tradition. Christian theologians use biblical exegesis, rational analysis and argument.

Hypostatic union

Hypostatic union (from the Greek: ὑπόστασις hypóstasis, "person, subsistence") is a technical term in Christian theology employed in mainstream Christology to describe the union of Christ's humanity and divinity in one hypostasis, or individual personhood. The most basic explanation for the hypostatic union is Jesus Christ being both fully God and fully man. He is both perfectly divine and perfectly human and has two complete and distinct natures at once.

High-dimensional optimization under nonconvex excluded volume constraints

Antonio Sclocchi

We consider high-dimensional random optimization problems where the dynamical variables are subjected to nonconvex excluded volume constraints. We focus on the case in which the cost function is a simple quadratic cost and the excluded volume constraints a ...

AMER PHYSICAL SOC2022