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Hexaemeron

Hexaemeron is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Hexaemeron rather than just read about it. In short: The term Hexaemeron (Greek: Ἡ Ἑξαήμερος Δημιουργία Hē Hexaēmeros Dēmiourgia), literally "six days," is used in one of two senses. In one sense, it refers to the Genesis creation narrative spanning Genesis 1:1–2:3: corresponding to the creation of the light (day 1); the sky (day 2); the earth, seas, and vegetation (day 3); the sun and moon (day 4); animals of the air and sea (day 5); and land animals and humans (day…

Hexaemeron — main illustration
Hexaemeron — illustration

Key takeaways

  • Hexaemeron belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Hexaemeron to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Hexaemeron from memory before moving on to harder problems.

Reference excerpt

The term Hexaemeron (Greek: Ἡ Ἑξαήμερος Δημιουργία Hē Hexaēmeros Dēmiourgia), literally "six days," is used in one of two senses. In one sense, it refers to the Genesis creation narrative spanning Genesis 1:1–2:3: corresponding to the creation of the light (day 1); the sky (day 2); the earth, seas, and vegetation (day 3); the sun and moon (day 4); animals of the air and sea (day 5); and land animals and humans (day 6). God then rests from his work on the seventh day of creation, the Sabbath. In a second sense, the Genesis creation narrative inspired a didactic genre of Jewish and Christian literature known as the Hexaemeral literature. Literary treatments in this genre are called Hexaemeron. This literature was dedicated to the composition of commentaries, homilies, and treatises concerned with the exegesis of the biblical creation narrative through ancient and medieval times and with expounding the meaning of the six days as well as the origins of the world. The first Christian example of this genre was the Hexaemeron of Basil of Caesarea, and many other works went on to be written from authors including Augustine of Hippo, Jacob of Serugh, Jacob of Edessa, Bonaventure, and so on. These treatises would become popular and often cover a wide variety of topics, including cosmology, science, theology, theological anthropology, and God's nature. The word can also sometimes denote more passing or incidental descriptions or discussions on the six days of creation, such as in the brief occurrences that appear in Quranic cosmology. Hexaemeral retellings can also be found in Jewish literature, such as in the Seder Rabbah di-Bereshit, a detailed Late Antique cosmological tract. The Church Fathers wrote many Hexaemeron and a diversity of opinions existed on a broad range of subjects. Two general modes of interpretation existed, corresponding to the literal form of interpretation, represented by the tradition of the School of Antioch (one example being in John Chrysostom), and another represented by an allegorical mode of interpretation, represented by the tradition of the School of Alexandria (examples being Origen and Augustine). Outside of this categorization, however, individuals in each school would not necessarily deny the validity of the alternative perspective. Despite the differences, consensus existed on a number of subjects among these interpreters, including in their belief in God's primacy as the Creator; the occurrence of creation through the act of the divine Word (Christ) and the Spirit; on the created and not eternal nature of the world, God's creation of both the spiritual and material realms (including the human body and soul); and the continuing providential care over the creation by God. The Church Fathers primarily focused on the first two chapters of Genesis, as well as a few essential statements in the New Testament (John 1:1–4; 1 Corinthians 8:6).

Etymology The word derives its name from the Greek roots hexa-, meaning "six", and hemer-, meaning "day". The word hexaemeric refers to that which pertains to a hexaemeron, and this is to be distinguished from hexaemeral, that which occurs in six parts. In Latinized writing, the spelling Hexameron can also be found.

History of the genre

Origins The first extant witness was Philo of Alexandria's De opificio mundi, though he was not the founder of the genre: an earlier work in the genre that Philo had known of had been composed by Aristobulus of Alexandria. Though other such works from the Jewish tradition are thought to have existed from this era, none have survived or were known to later Christian exegetes.

Late antiquity Saint Basil delivered a lecture series over the course of three days during 378 AD on the Genesis creation narrative. Using the information he had prepared for this, he wrote his Hexaemeron, which spanned nine homilies. This text figures as the earliest extant Christian Hexaemeron, and the first instance of this genre since the appearance of Philo's. He opened it as follows:If sometimes on a bright night, whilst gazing with watchful eyes on the inexpressible beauty of the stars, you have thought of the Creator of all things; if you have asked yourself who it is that has dotted the heaven with such flowers, and why visible things are even more useful than beautiful; if sometimes in the day you have studied the marvels of light, if you have raised yourself by visible things to the invisible being, then you are a well prepared auditor, and you can take your place in this august and blessed amphitheatre.It was widely influential, being translated into multiple languages and resulting in the composition of many other Hexaemeron among his own contemporaries, including his brother Gregory of Nyssa and Ambrose. Among the Latin Fathers, Ambrose and Augustine of Hippo wrote some of the earliest extant hexaemeral literature. Ambrose's Hexaemeron is heavily influenced by Basil's work of the same name. In contrast, Augustine wrote several works that serve as commentaries on the Genesis narrative, including the final section of The Confessions and De Genesi ad litteram (published in 416). The first Hexaemeron in the Syriac language was the Hexaemeron of Jacob of Serugh in the early sixth century, including one homily dedicated to each of the creation days. Later, the prolific Syriac theologian Jacob of Edessa wrote his own Hexaemeron in the first years of the eighth century as his final work. The popularity of the genre lent itself to the widespread distribution of related texts. Hexaemeral literature became widespread as far as in Ethiopic Christianity, with hexaemeral motifs replete in an Aksumite text known as On the One Judge known from the Aksumite Collection.

Medieval and early modern period Many Hexaemeral works were composed during the Middle Ages, including by Bede (7th century), Peter Abelard (12th century), and Robert Grosseteste (13th century). The genre extended into early modern times with the Sepmaines of Du Bartas, and Paradise Lost by John Milton. According to Alban Forcione the late sixteenth and early seventeenth century saw ‘hexameral theatre’, and in particular the visionary holism represented by the De la creación del mundo (1615) of Alonso de Acevedo. There is a cusp between Du Bartas, very influential in his time, and Milton: Milton's different approach marks the effective literary end of the genre. The approach continued in an important literary role until the seventeenth century.

The six days

… excerpt ends here. Continue reading the full article.

Illustrations

Hexaemeron: Representation of the six days of creation.
Representation of the six days of creation.

Worked examples

Example 1 — a first encounter with Hexaemeron

Start with the simplest possible case. Write down what Hexaemeron claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Hexaemeron before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Hexaemeron ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Hexaemeron

In research
Hexaemeron appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Hexaemeron in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Hexaemeron is common in secondary-school and first-year university syllabi. It links to neighbouring topics 6 (number), Christian cosmology, Genesis 1, so understanding it makes those chapters shorter.
In everyday life
Look for Hexaemeron outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Hexaemeron in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Hexaemeron means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Hexaemeron out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hexaemeron in simple terms?

The term Hexaemeron (Greek: Ἡ Ἑξαήμερος Δημιουργία Hē Hexaēmeros Dēmiourgia), literally "six days," is used in one of two senses. In one sense, it refers to the Genesis creation narrative spanning Genesis 1:1–2:3: corresponding to the creation of the light (day 1); the sky (day 2); the earth, seas…

Why does Hexaemeron matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Hexaemeron?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Hexaemeron.

Tags

  • 6 (number)
  • Christian cosmology
  • Genesis 1
  • Hexaemeron
  • Literary genres
  • Medieval literature
  • Works by Ambrose

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