Euclid was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved new innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics.
Marsilio Ficino was an Italian scholar and Catholic priest who was one of the most influential humanist philosophers of the early Italian Renaissance. He was an astrologer, a reviver of Neoplatonism in touch with the major academics of his day, and the first translator of Plato's complete extant works into Latin. His Florentine Academy, an attempt to revive Plato's Academy, influenced the direction and tenor of the Italian Renaissance and the development of European philosophy.
Plato was a Greek philosopher born in Athens during the Classical period in Ancient Greece. He founded the Platonist school of thought and the Academy, the first institution of higher learning on the European continent.
Proclus Lycius, called Proclus the Successor, was a Greek Neoplatonist philosopher, one of the last major classical philosophers of late antiquity. He set forth one of the most elaborate and fully developed systems of Neoplatonism and, through later interpreters and translators, exerted an influence on Byzantine philosophy, Early Islamic philosophy, and Scholastic philosophy.
Georgios Gemistos Plethon, commonly known as Gemistos Plethon, was a Greek scholar and one of the most renowned philosophers of the late Byzantine era. He was a chief pioneer of the revival of Greek scholarship in Western Europe. As revealed in his last literary work, the Nomoi or Book of Laws, which he only circulated among close friends, he rejected Christianity in favour of a return to the worship of the classical Hellenic Gods, mixed with ancient wisdom based on Zoroaster and the Magi.
Pythagoreanism originated in the 6th century BC, based on and around the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community in the ancient Greek colony of Kroton, in modern Calabria (Italy). Early Pythagorean communities spread throughout Magna Graecia.
In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3.
The designation "Renaissance philosophy" is used by scholars of intellectual history to refer to the thought of the period running in Europe roughly between 1400 and 1600. It therefore overlaps both with late medieval philosophy, which in the fourteenth and fifteenth centuries was influenced by notable figures such as Albert the Great, Thomas Aquinas, William of Ockham, and Marsilius of Padua, and early modern philosophy, which conventionally starts with René Descartes and his publication of the Discourse on Method in 1637.
Syrianus was a Greek Neoplatonist philosopher, and head of Plato's Academy in Athens, succeeding his teacher Plutarch of Athens in 431/432 A.D. He is important as the teacher of Proclus, and, like Plutarch and Proclus, as a commentator on Plato and Aristotle. His best-known extant work is a commentary on the Metaphysics of Aristotle. He is said to have written also on the De Caelo and the De Interpretatione of Aristotle and on Plato's Timaeus.
In Plato's Ion Socrates discusses with the titular character, a professional rhapsode who also lectures on Homer, the question of whether the rhapsode, a performer of poetry, gives his performance on account of his skill and knowledge or by virtue of divine possession. It is one of the shortest of Plato's dialogues.
216 is the natural number following 215 and preceding 217. It is a cube, and is often called Plato's number, although it is not certain that this is the number intended by Plato.
Ludovico Lazzarelli was an Italian poet, philosopher, courtier, hermeticist and (likely) magician and diviner of the early Renaissance.
Neoplatonism was a major influence on Christian theology throughout Late Antiquity and the Middle Ages in the West. This was due to St. Augustine of Hippo, who was influenced by the early neoplatonists Plotinus and Porphyry, as well as the works of the Christian writer Pseudo-Dionysius the Areopagite, who was influenced by later neoplatonists, such as Proclus and Damascius.
Neoplatonism is a strand 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 chain of thinkers. But there are some ideas that are common to it. For example, the monistic idea that all of reality can be derived from a single principle, "the One".
The Definitions is a dictionary of 184 philosophical terms sometimes included in the corpus of Plato's works. Plato is generally not regarded as the editor of all of Definitions. Some ancient scholars attributed Definitions to Speusippus.
The "Recovery of Aristotle" refers to the copying and translating of most of Aristotle's tractates from Greek or Arabic text into Latin, during the Middle Ages, of the Latin West. The Recovery of Aristotle spanned about 100 years, from the middle 12th century into the 13th century, and copied or translated over 42 tractates, including Arabic texts from Judeo-Arabic philosophers, where the previous Latin versions had only two tractates in general circulation: Categories and On Interpretation. Translations had been due to several factors, including limited techniques for copying books, lack of access to the Greek texts, and few people who could read ancient Greek, while the Arabic versions were more accessible. The recovery of Aristotle's texts precipitated the scholastic movement of medieval philosophy, leading to Aristotelianism. Because some of Aristotle's newly translated views discounted the notions of a personal God, immortal soul, or creation, various leaders of the Catholic Church were inclined to censor those views for decades, such as lists of forbidden books in the Condemnations of 1210–1277 at the University of Paris. Meanwhile, Thomas Aquinas (c.1225–1274), at the end of that time period, was able to reconcile the viewpoints of Aristotelianism and Christianity, primarily in his work, Summa Theologica (1265–1274).
The Platonic Theology is a work consisting of eighteen books by Marsilio Ficino. Ficino wrote it between 1469 and 1474 and it was published in 1482. It has been described as Ficino's philosophical masterpiece.
Many interpreters of Plato held that his writings contain passages with double meanings, called allegories, symbols, or myths, that give the dialogues layers of figurative meaning in addition to their usual literal meaning. These allegorical interpretations of Plato were dominant for more than fifteen hundred years, from about the 1st century CE through the Renaissance and into the 18th century, and were advocated by major Platonist philosophers such as Plotinus, Porphyry, Syrianus, Proclus, and Marsilio Ficino. Beginning with Philo of Alexandria, these views influenced the Jewish, Christian, and Islamic interpretation of these religions' respective sacred scriptures. They spread widely during the Renaissance and contributed to the fashion for allegory among poets such as Dante Alighieri, Edmund Spenser, and William Shakespeare.
Plato's so-called unwritten doctrines are metaphysical theories ascribed to him by his students and other ancient philosophers but not clearly formulated in his writings. In recent research, they are sometimes known as Plato's 'principle theory' because they involve two fundamental principles from which the rest of the system derives. Plato is thought to have orally expounded these doctrines to Aristotle and the other students in the Academy and they were afterwards transmitted to later generations.
Okhêma refers to the "carrier" or "vehicle" of the soul, serving as the intermediary between the body and the soul, in Neoplatonism and the philosophical traditions it influenced.
