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.
Renaissance humanismRenaissance humanism was a worldview centered on the nature and importance of humanity, that emerged from the study of Classical antiquity. This first began in Italy and then spread across Western Europe in the 14th, 15th, and 16th centuries. During the period, the term humanist (umanista) referred to teachers and students of the humanities, known as the studia humanitatis, which included the study of Latin and Ancient Greek literatures, grammar, rhetoric, history, poetry, and moral philosophy.
Renaissance artRenaissance art (1350 – 1620 AD) is the painting, sculpture, and decorative arts of the period of European history known as the Renaissance, which emerged as a distinct style in Italy in about AD 1400, in parallel with developments which occurred in philosophy, literature, music, science, and technology. Renaissance art took as its foundation the art of Classical antiquity, perceived as the noblest of ancient traditions, but transformed that tradition by absorbing recent developments in the art of Northern Europe and by applying contemporary scientific knowledge.
PolymathA polymath (πολυμαθής; homo universalis) is an individual whose knowledge spans a substantial number of subjects, known to draw on complex bodies of knowledge to solve specific problems. In Western Europe, the first work to use the term polymathy in its title (De Polymathia tractatio: integri operis de studiis veterum) was published in 1603 by Johann von Wowern, a Hamburg philosopher. Von Wowern defined polymathy as "knowledge of various matters, drawn from all kinds of studies ...
Italian RenaissanceThe Italian Renaissance (Rinascimento rinaʃʃiˈmento) was a period in Italian history covering the 15th and 16th centuries. The period is known for the initial development of the broader Renaissance culture that spread across Western Europe and marked the transition from the Middle Ages to modernity. Proponents of a "long Renaissance" argue that it started around the year 1300 and lasted until about 1600. In some fields, a Proto-Renaissance, beginning around 1250, is typically accepted.
English RenaissanceThe English Renaissance was a cultural and artistic movement in England during the late 15th, 16th and early 17th centuries. It is associated with the pan-European Renaissance that is usually regarded as beginning in Italy in the late 14th century. As in most of the rest of northern Europe, England saw little of these developments until more than a century later within the Northern Renaissance. Renaissance style and ideas were slow to penetrate England, and the Elizabethan era in the second half of the 16th century is usually regarded as the height of the English Renaissance.
Renaissance in PolandThe Renaissance in Poland (Renesans, Odrodzenie; literally: the Rebirth) lasted from the late 15th to the late 16th century and is widely considered to have been the Golden Age of Polish culture. Ruled by the Jagiellonian dynasty, the Crown of the Kingdom of Poland (from 1569 part of the Polish–Lithuanian Commonwealth) actively participated in the broad European Renaissance. The multinational Polish state experienced a period of cultural growth thanks in part to a century without major wars, aside from conflicts in the sparsely-populated eastern and southern borderlands.
Total orderIn mathematics, a total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation on some set , which satisfies the following for all and in : (reflexive). If and then (transitive). If and then (antisymmetric). or (strongly connected, formerly called total). Reflexivity (1.) already follows from connectedness (4.), but is required explicitly by many authors nevertheless, to indicate the kinship to partial orders.
Lexicographic orderIn mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the dictionaries to sequences of ordered symbols or, more generally, of elements of a totally ordered set. There are several variants and generalizations of the lexicographical ordering. One variant applies to sequences of different lengths by comparing the lengths of the sequences before considering their elements.
Order isomorphismIn the mathematical field of order theory, an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets (posets). Whenever two posets are order isomorphic, they can be considered to be "essentially the same" in the sense that either of the orders can be obtained from the other just by renaming of elements. Two strictly weaker notions that relate to order isomorphisms are order embeddings and Galois connections.
