UniverseThe universe is all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang theory is the prevailing cosmological description of the development of the universe. According to this theory, space and time emerged together 13.787billion years ago, and the universe has been expanding ever since the Big Bang. While the spatial size of the entire universe is unknown, it is possible to measure the size of the observable universe, which is approximately 93 billion light-years in diameter at the present day.
Carolingian RenaissanceThe Carolingian Renaissance was the first of three medieval renaissances, a period of cultural activity in the Carolingian Empire. It occurred from the late 8th century to the 9th century, taking inspiration from the Christian Roman Empire of the fourth century. During this period, there was an increase of literature, writing, visual arts, architecture, music, jurisprudence, liturgical reforms, and scriptural studies. The movement occurred mostly during the reigns of Carolingian rulers Charlemagne and Louis the Pious.
Bachelor's degreeA bachelor's degree (from Middle Latin baccalaureus) or baccalaureate (from Modern Latin baccalaureatus) is an undergraduate academic degree awarded by colleges and universities upon completion of a course of study lasting three to six years (depending on institution and academic discipline). The two most common bachelor's degrees are the Bachelor of Arts (BA) and the Bachelor of Science (BS or BSc).
HumanitasHumanitas is a Latin noun meaning human nature, civilization, and kindness. It has uses in the Enlightenment, which are discussed below. The Latin word humanitas corresponded to the Greek concepts of philanthrôpía (loving what makes us human) and paideia (education) which were amalgamated with a series of qualities that made up the traditional unwritten Roman code of conduct (mos maiorum).
Euclid's ElementsEuclid's Elements (Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics.
RenaissanceThe Renaissance (UKrᵻˈneɪsəns , USˈrɛnəsɑːns ) is a period in European history marking the transition from the Middle Ages to modernity and covering the 15th and 16th centuries, characterized by an effort to revive and surpass ideas and achievements of classical antiquity. It occurred after the Crisis of the Late Middle Ages and was associated with great social change. In addition to the standard periodization, proponents of a "long Renaissance" may put its beginning in the 14th century and its end in the 17th century.
TriviumThe trivium is the lower division of the seven liberal arts and comprises grammar, logic, and rhetoric. The trivium is implicit in De nuptiis Philologiae et Mercurii ("On the Marriage of Philology and Mercury") by Martianus Capella, but the term was not used until the Carolingian Renaissance, when it was coined in imitation of the earlier quadrivium. Grammar, logic, and rhetoric were essential to a classical education, as explained in Plato's dialogues.
Musica universalisThe musica universalis (literally universal music), also called music of the spheres or harmony of the spheres, is a philosophical concept that regards proportions in the movements of celestial bodies – the Sun, Moon, and planets – as a form of music. The theory, originating in ancient Greece, was a tenet of Pythagoreanism, and was later developed by 16th-century astronomer Johannes Kepler. Kepler did not believe this "music" to be audible, but felt that it could nevertheless be heard by the soul.
Renaissance of the 12th centuryThe Renaissance of the 12th century was a period of many changes at the outset of the High Middle Ages. It included social, political and economic transformations, and an intellectual revitalization of Western Europe with strong philosophical and scientific roots. These changes paved the way for later achievements such as the literary and artistic movement of the Italian Renaissance in the 15th century and the scientific developments of the 17th century.
Peter AbelardPeter Abelard (ˈæbəlɑrd; Pierre Abélard; Petrus Abaelardus or Abailardus; 1079 - 21 April 1142) was a medieval French scholastic philosopher, leading logician, theologian, poet, composer and musician. In philosophy he is celebrated for his logical solution to the problem of universals via nominalism and conceptualism and his pioneering of intent in ethics. Often referred to as the "Descartes of the twelfth century", he is considered a forerunner of Rousseau, Kant, and Spinoza.
