Modern influence of Ancient Greece

See also: Transmission of the Greek Classics

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Modern influence of ancient Greece refers to the influence of Ancient Greece on later periods of history, from the Middle Ages up to the current modern era. Greek culture and philosophy has a significant influence on modern society and its core culture, in comparison to other ancient societies of similar settings.

## Background

[edit]

For the longer periods of history of which this article's subject is a part, see Ancient Greece and Classical antiquity.

The Parthenon, a temple dedicated to Athena, located on the Acropolis in Athens, is one of the most representative symbols of the culture and sophistication of the ancient Greeks.

### Classics

[edit]

Classics is the study of classical antiquity. In the Western world, classics traditionally refers to the study of Classical Greek and Roman literature and their related original languages, Ancient Greek and Latin. Classics also includes Greco-Roman philosophy, history, archaeology, anthropology, art, mythology and society as secondary subjects.

In Western civilization, the study of the Greek and Roman classics was traditionally considered to be the foundation of the humanities and has traditionally been the cornerstone of a typical elite European education.

### Classical tradition

[edit]

Vergil leading Dante on his journey in the Inferno, an image that dramatizes the continuity of the classical tradition[1] (Dante and Vergil in Hell by Delacroix, 1823)

The Western classical tradition is the reception of classical Greco-Roman antiquity by later cultures, especially the post-classical West,[2] involving texts, imagery, objects, ideas, institutions, monuments, architecture, cultural artifacts, rituals, practices, and sayings.[3] Philosophy, political thought, and mythology are three major examples of how classical culture survives and continues to have influence.[4] The West is one of a number of world cultures regarded as having a classical tradition, including the Indian, Chinese, and Islamic traditions.[5]

The study of the classical tradition differs from classical philology, which seeks to recover "the meanings that ancient texts had in their original contexts."[6] It examines both later efforts to uncover the realities of the Greco-Roman world and "creative misunderstandings" that reinterpret ancient values, ideas and aesthetic models for contemporary use.[7] The classicist and translator Charles Martindale has defined the reception of classical antiquity as "a two-way process ... in which the present and the past are in dialogue with each other."[8]

### Classical Greece

[edit]

Classical Greece was a period of around 200 years (the 5th and 4th centuries BC) in Ancient Greece,[9] marked by much of the eastern Aegean and northern regions of Greek culture (such as Ionia and Macedonia) gaining increased autonomy from the Persian Empire; the peak flourishing of democratic Athens; the First and Second Peloponnesian Wars; the Spartan and then Theban hegemonies; and the expansion of Macedonia under Philip II.

Much of the early defining politics, artistic thought (architecture, sculpture), scientific thought, theatre, literature and philosophy of Western civilization derives from this period of Greek history, which had a powerful influence on the later Roman Empire. Part of the broader era of classical antiquity, the classical Greek era ended after Philip II's unification of most of the Greek world against the common enemy of the Persian Empire, which was conquered within 13 years during the wars of Alexander the Great, Philip's son.

In the context of the art, architecture, and culture of Ancient Greece, the Classical period corresponds to most of the 5th and 4th centuries BC (the most common dates being the fall of the last Athenian tyrant in 510 BC to the death of Alexander the Great in 323 BC). The Classical period in this sense follows the Greek Dark Ages and Archaic period and is in turn succeeded by the Hellenistic period.

### Classical Era

[edit]

The Classical Era, also known as the classical period, or classical age,[10] is the period of history between the 8th century BC and the 5th century AD.[note 1] It is the period in which ancient Greece and ancient Rome flourished and wielded huge influence throughout much of Europe, North Africa, and West Asia.[11][12] These civilizations were centered on the Mediterranean Basin, and known together as the Greco-Roman World.

Conventionally, it is taken to begin with the earliest-recorded Epic Greek poetry of Homer (8th–7th-century BC) and ends with the fall of the Western Roman Empire in 476 AD. Such a wide span of history and territory covers many disparate cultures and periods. Classical antiquity may also refer to an idealized vision among later people of what was, in Edgar Allan Poe's words, "the glory that was Greece, and the grandeur that was Rome".[13]

The culture of the ancient Greeks, together with some influences from the ancient Near East, was the basis of art,[14] philosophy, society, and education in the Mediterranean and Near East until the Roman imperial period. The Romans preserved, imitated, and spread this culture over Europe, until they were able to compete with it, and the classical world began to speak Latin along with Greek.[15][16] This Greco-Roman cultural foundation has been immensely influential on the language, politics, law, educational systems, philosophy, science, warfare, poetry, historiography, ethics, rhetoric, art and architecture of the modern world.[17]

Surviving fragments of classical culture led to a revival beginning in the 14th century which later came to be known as the Renaissance, and various neo-classical revivals occurred in the 18th and 19th centuries.[18][19]

### Transmission of Greek Classics

[edit]

The ideas of Aristotle and Plato, shown in Raphael's The School of Athens, were partly lost to Western Europeans for centuries.

The transmission of the Greek Classics to Latin Western Europe during the Middle Ages was a key factor in the development of intellectual life in Western Europe.[20] Interest in Greek texts and their availability was scarce in the Latin West during the Early Middle Ages, but as traffic to the East increased, so did Western scholarship.

Classical Greek philosophy consisted of various original works ranging from those from Ancient Greece (e.g. Aristotle) to those Greco-Roman scholars in the classical Roman Empire (e.g. Ptolemy). Though these works were originally written in Greek, for centuries the language of scholarship in the Mediterranean region, many were translated into Syriac, Arabic, and Persian during the Middle Ages and the original Greek versions were often unknown to the West. With increasing Western presence in the East due to the Crusades, and the gradual collapse of the Byzantine Empire during the Late Middle Ages, many Byzantine Greek scholars fled to Western Europe, bringing with them many original Greek manuscripts, and providing impetus for Greek-language education in the West and further translation efforts of Greek scholarship into Latin.[21]

The line between Greek scholarship and Arab scholarship in Western Europe was very blurred during the Middle Ages and the Early Modern Period. Sometimes the concept of the transmission of Greek Classics is often used to refer to the collective knowledge that was obtained from the Arab and Byzantine Empires, regardless of where the knowledge actually originated. However, being once and even twice removed from the original Greek, these Arabic versions were later supplanted by improved, direct translations by Moerbeke and others in the 13th century and after.

## Political units and societies

[edit]

### Athens

[edit]

Main article: Classical Athens

The city of Athens[22] was the major urban centre of the notable polis (city-state) of the same name, located in Attica, Greece, leading the Delian League in the Peloponnesian War against Sparta and the Peloponnesian League. Athenian democracy was established in 508 BC under Cleisthenes following the tyranny of Isagoras. This system remained remarkably stable, and with a few brief interruptions remained in place for 180 years, until 322 BC (aftermath of Lamian War). The peak of Athenian hegemony was achieved in the 440s to 430s BC, known as the Age of Pericles.

In the classical period, Athens was a centre for the arts, learning and philosophy, home of Plato's Academy and Aristotle's Lyceum,[23][24] Athens was also the birthplace of Socrates, Plato, Pericles, Aristophanes, Sophocles, and many other prominent philosophers, writers and politicians of the ancient world. It is widely referred to as the cradle of Western Civilization, and the birthplace of democracy,[25] largely due to the impact of its cultural and political achievements during the 5th and 4th centuries BC on the rest of the then-known European continent.[26]

## Philosophy

[edit]

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See also: History of philosophy

Western philosophy originated in Ancient Greece in the 6th century BCE with the pre-Socratics. They attempted to provide rational explanations of the cosmos as a whole.[27] The philosophy following them was shaped by Socrates (469–399 BCE), Plato (427–347 BCE), and Aristotle (384–322 BCE). They expanded the range of topics to questions like how people should act, how to arrive at knowledge, and what the nature of reality and mind is.[28] The later part of the ancient period was marked by the emergence of philosophical movements, for example, Epicureanism, Stoicism, Skepticism, and Neoplatonism.[29] The medieval period started in the 5th century CE. Its focus was on religious topics and many thinkers used ancient philosophy to explain and further elaborate Christian doctrines.[30][31]

### Background

[edit]

Main article: Ancient Greek philosophy

Ancient Greek philosophy arose in the 6th century BC. Philosophy was used to make sense of the world using reason. It dealt with a wide variety of subjects, including astronomy, epistemology, mathematics, political philosophy, ethics, metaphysics, ontology, logic, biology, rhetoric and aesthetics. Greek philosophy continued throughout the Hellenistic period and later evolved into Roman philosophy.[32]

Greek philosophy has influenced much of Western culture since its inception, and can be found in many aspects of public education. Alfred North Whitehead once noted: "The safest general characterization of the European philosophical tradition is that it consists of a series of footnotes to Plato".[33] Clear, unbroken lines of influence lead from ancient Greek and Hellenistic philosophers to Roman philosophy, Early Islamic philosophy, Medieval Scholasticism, the European Renaissance and the Age of Enlightenment.[34]

Greek philosophy was influenced to some extent by the older wisdom literature and mythological cosmogonies of the ancient Near East, though the extent of this influence is widely debated. The classicist Martin Litchfield West states, "contact with oriental cosmology and theology helped to liberate the early Greek philosophers' imagination; it certainly gave them many suggestive ideas. But they taught themselves to reason. Philosophy as we understand it is a Greek creation".[35]

Subsequent philosophic tradition was so influenced by Socrates as presented by Plato that it is conventional to refer to philosophy developed prior to Socrates as pre-Socratic philosophy. The periods following this, up to and after the wars of Alexander the Great, are those of "Classical Greek" and "Hellenistic philosophy", respectively.

### Role of Athens

[edit]

Main article: Fifth-century Athens

The Golden Age of Athens, in the 5th century BCE, featured some of the most renowned Western philosophers of all time. Chief among these were Socrates, whose ideas exist primarily in a series of dialogues by his student Plato, who mixed them with his own; Plato; and Plato's student, Aristotle.

Other notable philosophers of the Golden Age included Anaxagoras; Democritus (who first inquired as to what substance lies within all matter, the earliest known proposal of what is now called the atom or its sub-units); Empedocles; Hippias; Isocrates; Parmenides; Heraclitus; and Protagoras.

In the second half of the 5th century BC the name of sophist (from the Greek sophistês, expert, teacher, man of wisdom) was given to the teachers that gave instruction on diverse branches of science and knowledge in exchange for a fee.

In this age, Athens was the "school of Greece." Pericles and his mistress Aspasia had the opportunity to associate with not only the great Athenians thinkers of their day but also other Greek and foreign scholars. Among them were the philosopher Anaxagoras, the architect Hippodamus of Miletus, who reconstructed Peiraeus, as well as the historians Herodotus (484–425), Thucydides (460–400), and Xenophon (430–354).

Athens was also the capital of eloquence. Since the late 5th century BC, eloquence had been elevated to an art form. There were the logographers (λογογράφος) who wrote courses and created a new literary form characterized by the clarity and purity of the language. It became a lucrative profession. It is known that the logographer Lysias (460–380 BC) made a great fortune thanks to his profession.[citation needed] Later, in the 4th century BC, the orators Isocrates and Demosthenes also became famous.

### Founding concepts

[edit]

The four main branches of philosophy are considered to be metaphysics, epistemology, logic, and ethics.[36] Metaphysics studies what it is for something to exist (to "be") and what types of existence there are. It seeks to answer, in an abstract and fully general manner, the questions of: What is it that exists; and What it is like.[37]

The circled dot was used by the Pythagoreans and later Greeks to represent the first metaphysical being, the Monad or The Absolute.

The first named Greek philosopher, according to Aristotle, is Thales of Miletus, early 6th century BCE. He made use of purely physical explanations to explain the phenomena of the world rather than the mythological and divine explanations of tradition. He is thought to have posited water as the single underlying principle (or arche in later Aristotelian terminology) of the material world. His fellow, but younger Miletians, Anaximander and Anaximenes, also posited monistic underlying principles, namely apeiron (the indefinite or boundless) and air respectively.

Another school was the Eleatics, in southern Italy. The group was founded in the early fifth century BCE by Parmenides, and included Zeno of Elea and Melissus of Samos. Methodologically, the Eleatics were broadly rationalist, and took logical standards of clarity and necessity to be the criteria of truth. Parmenides' chief doctrine was that reality is a single unchanging and universal Being. Zeno used reductio ad absurdum, to demonstrate the illusory nature of change and time in his paradoxes.

Heraclitus of Ephesus, in contrast, made change central, teaching that "all things flow". His philosophy, expressed in brief aphorisms, is quite cryptic. For instance, he also taught the unity of opposites.

Democritus and his teacher Leucippus, are known for formulating an atomic theory for the cosmos.[38] They are considered forerunners of the scientific method.

### Pre-Socratic philosophy

[edit]

Pre-Socratic philosophy also known as Early Greek Philosophy, is ancient Greek philosophy before Socrates. Pre-Socratic philosophers were mostly interested in cosmology, the beginning and the substance of the universe, but the inquiries of these early philosophers spanned the workings of the natural world as well as human society, ethics, and religion. They sought explanations based on natural law rather than the actions of gods. Their work and writing has been almost entirely lost. Knowledge of their views comes from testimonia, i.e. later authors' discussions of the work of pre-Socratics. Philosophy found fertile ground in the ancient Greek world because of the close ties with neighboring civilizations and the rise of autonomous civil entities, poleis.

Pre-Socratic philosophy began in the 6th century BCE with the three Milesians: Thales, Anaximander, and Anaximenes. They all attributed the arche (a word that could take the meaning of "origin", "substance" or "principle") of the world to, respectively, water, apeiron (the unlimited), and air. Another three pre-Socratic philosophers came from nearby Ionian towns: Xenophanes, Heraclitus, and Pythagoras. Xenophanes is known for his critique of the anthropomorphism of gods. Heraclitus, who was notoriously difficult to understand, is known for his maxim on impermanence, ta panta rhei, and for attributing fire to be the arche of the world. Pythagoras created a cult-like following that advocated that the universe was made up of numbers. The Eleatic school (Parmenides, Zeno of Elea, and Melissus) followed in the 5th century BCE. Parmenides claimed that only one thing exists and nothing can change. Zeno and Melissus mainly defended Parmenides' opinion. Anaxagoras and Empedocles offered a pluralistic account of how the universe was created. Leucippus and Democritus are known for their atomism, and their views that only void and matter exist. The Sophists advanced philosophical relativism.

The impact of the pre-Socratics has been enormous. The pre-Socratics invented some of the central concepts of Western civilization, such as naturalism and rationalism, and paved the way for scientific methodology.

### Ancient Greek philosophy

[edit]

Ancient Greek philosophy arose in the 6th century BC. Philosophy was used to make sense of the world using reason. It dealt with a wide variety of subjects, including astronomy, epistemology, mathematics, political philosophy, ethics, metaphysics, ontology, logic, biology, rhetoric and aesthetics. Greek philosophy continued throughout the Hellenistic period and later evolved into Roman philosophy.[32]

Greek philosophy has influenced much of Western culture since its inception, and can be found in many aspects of public education. Alfred North Whitehead once noted: "The safest general characterization of the European philosophical tradition is that it consists of a series of footnotes to Plato".[33] Clear, unbroken lines of influence lead from ancient Greek and Hellenistic philosophers to Roman philosophy, Early Islamic philosophy, Medieval Scholasticism, the European Renaissance and the Age of Enlightenment.[34]

Greek philosophy was influenced to some extent by the older wisdom literature and mythological cosmogonies of the ancient Near East, though the extent of this influence is widely debated. The classicist Martin Litchfield West states, "contact with oriental cosmology and theology helped to liberate the early Greek philosophers' imagination; it certainly gave them many suggestive ideas. But they taught themselves to reason. Philosophy as we understand it is a Greek creation".[35]

Subsequent philosophic tradition was so influenced by Socrates as presented by Plato that it is conventional to refer to philosophy developed prior to Socrates as pre-Socratic philosophy. The periods following this, up to and after the wars of Alexander the Great, are those of "Classical Greek" and "Hellenistic philosophy", respectively.

### Hellenistic philosophy

[edit]

Hellenistic philosophy is Ancient Greek philosophy corresponding to the Hellenistic period in Ancient Greece, from the death of Alexander the Great in 323 BC to the Battle of Actium in 31 BC.[39] The dominant schools of this period were the Stoics, the Epicureans and the Skeptics.[40]

### Thales

[edit]

Thales of Miletus (c. 626/623 – c. 548/545 BC) was an Ancient Greek pre-Socratic philosopher from Miletus in Ionia, Asia Minor. Thales was one of the Seven Sages, founding figures of Ancient Greece, and credited with the saying "know thyself" which was inscribed on the Temple of Apollo at Delphi.

Many regard him as the first philosopher in the Greek tradition, breaking from the prior use of mythology to explain the world and instead using natural philosophy. He is thus otherwise credited as the first to have engaged in mathematics, science, and deductive reasoning.[41]

The first philosophers followed him in explaining all of nature as based on the existence of a single ultimate substance. Thales theorized that this single substance was water. Thales thought the Earth floated in water.

In mathematics, Thales is the namesake of Thales's theorem, and the intercept theorem can also be known as Thales's theorem. Thales was said to have calculated the heights of the pyramids and the distance of ships from the shore. In science, Thales was an astronomer who reportedly predicted the weather and a solar eclipse. He was also credited with discovering the position of the constellation Ursa Major as well as the timings of the solstices and equinoxes. Thales was also an engineer; credited with diverting the Halys River.[41]

### Socrates

[edit]

The Death of Socrates, by Jacques-Louis David (1787). Socrates was visited by friends in his last night at prison. His discussion with them gave rise to Plato's Crito and Phaedo.[42]

Socrates; (c. 470–399 BC) was a Greek philosopher from Athens who is credited as the founder of Western philosophy and among the first moral philosophers of the ethical tradition of thought. An enigmatic figure, Socrates authored no texts and is known mainly through the posthumous accounts of classical writers, particularly his students Plato and Xenophon. These accounts are written as dialogues, in which Socrates and his interlocutors examine a subject in the style of question and answer; they gave rise to the Socratic dialogue literary genre. Contradictory accounts of Socrates make a reconstruction of his philosophy nearly impossible, a situation known as the Socratic problem.

Plato's dialogues are among the most comprehensive accounts of Socrates to survive from antiquity. They demonstrate the Socratic approach to areas of philosophy including epistemology and ethics. The Platonic Socrates lends his name to the concept of the Socratic method, and also to Socratic irony. The Socratic method of questioning, or elenchus, takes shape in dialogue using short questions and answers, epitomized by those Platonic texts in which Socrates and his interlocutors examine various aspects of an issue or an abstract meaning, usually relating to one of the virtues, and find themselves at an impasse, completely unable to define what they thought they understood. Socrates is known for proclaiming his total ignorance; he used to say that the only thing he was aware of was his ignorance, seeking to imply that the realization of our ignorance is the first step in philosophizing.

Socrates exerted a strong influence on philosophers in later antiquity and has continued to do so in the modern era. He was studied by medieval and Islamic scholars and played an important role in the thought of the Italian Renaissance, particularly within the humanist movement. Interest in him continued unabated, as reflected in the works of Søren Kierkegaard and Friedrich Nietzsche. Depictions of Socrates in art, literature, and popular culture have made him a widely known figure in the Western philosophical tradition.

### Pythagoras

[edit]

Pythagoras of Samos (c. 570 – c. 495 BC)[a] was an ancient Ionian Greek philosopher, polymath and the eponymous founder of Pythagoreanism. His political and religious teachings were well known in Magna Graecia and influenced the philosophies of Plato, Aristotle, and, through them, the West in general. Knowledge of his life is clouded by legend. Modern scholars disagree regarding Pythagoras's education and influences, but they do agree that, around 530 BC, he travelled to Croton in southern Italy, where he founded a school in which initiates were sworn to secrecy and lived a communal, ascetic lifestyle. This lifestyle entailed a number of dietary prohibitions, traditionally said to have included aspects of vegetarianism.[44]

The teaching most securely identified with Pythagoras is metempsychosis, or the "transmigration of souls", which holds that every soul is immortal and, upon death, enters into a new body. He may have also devised the doctrine of musica universalis, which holds that the planets move according to mathematical equations and thus resonate to produce an inaudible symphony of music. Scholars debate whether Pythagoras developed the numerological and musical teachings attributed to him, or if those teachings were developed by his later followers, particularly Philolaus of Croton. Following Croton's decisive victory over Sybaris in around 510 BC, Pythagoras's followers came into conflict with supporters of democracy, and Pythagorean meeting houses were burned. Pythagoras may have been killed during this persecution, or he may have escaped to Metapontum and died there.

In antiquity, Pythagoras was credited with many mathematical and scientific discoveries, including the Pythagorean theorem, Pythagorean tuning, the five regular solids, the Theory of Proportions, the sphericity of the Earth, and the identity of the morning and evening stars as the planet Venus. It was said that he was the first man to call himself a philosopher ("lover of wisdom")[b] and that he was the first to divide the globe into five climatic zones. Classical historians debate whether Pythagoras made these discoveries, and many of the accomplishments credited to him likely originated earlier or were made by his colleagues or successors. Some accounts mention that the philosophy associated with Pythagoras was related to mathematics and that numbers were important, but it is debated to what extent, if at all, he actually contributed to mathematics or natural philosophy.

Pythagoras influenced Plato, whose dialogues, especially his Timaeus, exhibit Pythagorean teachings. Pythagorean ideas on mathematical perfection also impacted ancient Greek art. His teachings underwent a major revival in the first century BC among Middle Platonists, coinciding with the rise of Neopythagoreanism. Pythagoras continued to be regarded as a great philosopher throughout the Middle Ages and his philosophy had a major impact on scientists such as Nicolaus Copernicus, Johannes Kepler, and Isaac Newton. Pythagorean symbolism was used throughout early modern European esotericism, and his teachings as portrayed in Ovid's Metamorphoses influenced the modern vegetarian movement.

### Plato

[edit]

The School of Athens by Raphael (1509–1510), fresco at the Apostolic Palace, Vatican City.

Plato (428/427 or 424/423 – 348 BC) was an ancient Greek philosopher born in Athens during the Classical period. In Athens, Plato founded the Academy, a philosophical school where he taught the philosophical doctrines that would later become known as Platonism. Plato, or Platon, was a pen name derived, apparently, from the nickname given to him by his wrestling coach - allegedly a reference to his physical girth.

Along with his teacher, Socrates, and student Aristotle, Plato is a central figure in the history of philosophy.[c] Unlike the work of nearly all of his contemporaries, Plato's entire body of work is believed to have survived intact for over 2,400 years.[47] Although their popularity has fluctuated, Plato's works have consistently been read and studied.[48] Through Neoplatonism Plato also greatly influenced both Christian (through e.g. Augustine of Hippo) and Islamic philosophy (through e.g. Al-Farabi, Al-Kindi). In modern times, Alfred North Whitehead famously said: "the safest general characterization of the European philosophical tradition is that it consists of a series of footnotes to Plato."[49]

#### Plato's Republic

[edit]

Painting of a scene from Plato's Symposium (Anselm Feuerbach, 1873)

Plato's Republic (Ancient Greek: Πολιτεία, romanized: Politeia; Latin: De Republica[50]) is a Socratic dialogue, authored by Plato around 375 BC, concerning justice (δικαιοσύνη), the order and character of the just city-state, and the just man.[51] It is Plato's best-known work, and one of the world's most influential works of philosophy and political theory, both intellectually and historically.[52][53]

In the dialogue, Socrates discusses the meaning of justice and whether the just man is happier than the unjust man with various Athenians and foreigners.[54] He considers the natures of existing regimes and then proposes a series of hypothetical cities in comparison, culminating in Kallipolis (Καλλίπολις), a utopian city-state ruled by a class of philosopher-kings. They also discuss ageing, love, theory of forms, the immortality of the soul, and the role of the philosopher and of poetry in society.[55] The dialogue's setting seems to be the time of the Peloponnesian War.[56]

#### Platonism

[edit]

Platonism is the philosophy of Plato and philosophical systems closely derived from it, though contemporary Platonists do not necessarily accept all doctrines of Plato.[57] Platonism had a profound effect on Western thought. In its most basic fundamentals, Platonism affirms the existence of abstract objects, which are asserted to exist in a third realm distinct from both the sensible external world and from the internal world of consciousness, and is the opposite of nominalism.[57] This can apply to properties, types, propositions, meanings, numbers, sets, truth values, and so on (see abstract object theory). Philosophers who affirm the existence of abstract objects are sometimes called Platonists; those who deny their existence are sometimes called nominalists. The terms "Platonism" and "nominalism" also have established senses in the history of philosophy. They denote positions that have little to do with the modern notion of an abstract object.[58]

In a narrower sense, the term might indicate the doctrine of Platonic realism, a form of mysticism. The central concept of Platonism, a distinction essential to the Theory of Forms, is the distinction between the reality which is perceptible but unintelligible, associated with the flux of Heraclitus and studied by the likes of science, and the reality which is imperceptible but intelligible, associated with the unchanging being of Parmenides and studied by the likes of mathematics. Geometry was the main motivation of Plato, and this also shows the influence of Pythagoras. The Forms are typically described in dialogues such as the Phaedo, Symposium and Republic as perfect archetypes of which objects in the everyday world are imperfect copies. Aristotle's Third Man Argument is its most famous criticism in antiquity.

In the Republic the highest form is identified as the Form of the Good, the source of all other Forms, which could be known by reason. In the Sophist, a later work, the Forms being, sameness and difference are listed among the primordial "Great Kinds". Plato established the academy, and in the 3rd century BC, Arcesilaus adopted academic skepticism, which became a central tenet of the school until 90 BC when Antiochus added Stoic elements, rejected skepticism, and began a period known as Middle Platonism.

In the 3rd century AD, Plotinus added additional mystical elements, establishing Neoplatonism, in which the summit of existence was the One or the Good, the source of all things; in virtue and meditation the soul had the power to elevate itself to attain union with the One. Many Platonic notions were adopted by the Christian church which understood Plato's Forms as God's thoughts (a position also known as divine conceptualism), while Neoplatonism became a major influence on Christian mysticism in the West through Saint Augustine, Doctor of the Catholic Church, who was heavily influenced by Plotinus' Enneads,[59] and in turn were foundations for the whole of Western Christian thought.[60] Many ideas of Plato were incorporated by the Roman Catholic Church.[61]

### Aristotle

[edit]

Aristotle and his disciples – Alexander, Demetrius, Theophrastus, and Strato, in an 1888 fresco in the portico of the National University of Athens

Aristotle (384–322 BCE) was an Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology and the arts. As the founder of the Peripatetic school of philosophy in the Lyceum in Athens, he began the wider Aristotelian tradition that followed, which set the groundwork for the development of modern science.

Aristotle's views profoundly shaped medieval scholarship. The influence of his physical science extended from late antiquity and the Early Middle Ages into the Renaissance, and was not replaced systematically until the Enlightenment and theories such as classical mechanics were developed. He influenced Judeo-Islamic philosophies during the Middle Ages, as well as Christian theology, especially the Neoplatonism of the Early Church and the scholastic tradition of the Catholic Church.

Aristotle was revered among medieval Muslim scholars as "The First Teacher", and among medieval Christians like Thomas Aquinas as simply "The Philosopher", while the poet Dante called him "the master of those who know". His works contain the earliest known formal study of logic, and were studied by medieval scholars such as Peter Abelard and Jean Buridan. Aristotle's influence on logic continued well into the 19th century. In addition, his ethics, though always influential, gained renewed interest with the modern advent of virtue ethics.

#### Metaphysics

[edit]

Metaphysics (Greek: τὰ μετὰ τὰ φυσικά, "those after the physics"; Latin: Metaphysica[62]) is one of the principal works of Aristotle, in which he develops the doctrine that he calls First Philosophy.[d] The work is a compilation of various texts treating abstract subjects, notably substance theory, different kinds of causation, form and matter, the existence of mathematical objects and the cosmos, which together constitute much of the branch of philosophy later known as metaphysics.

The Metaphysics is considered to be one of the greatest philosophical works. Its influence on the Greeks, the Muslim philosophers, Maimonides thence the scholastic philosophers and even writers such as Dante[63] was immense.

In the 3rd century, Alexander of Aphrodisias wrote a commentary on the first five books of the Metaphysics,[64] and a commentary transmitted under his name exists for the final nine, but modern scholars doubt that this part was written by him.[65] Themistius wrote an epitome of the work, of which book 12 survivies in a Hebrew translation.[66] The Neoplatonists Syrianus and Asclepius of Tralles also wrote commentaries on the work, where they attempted to synthesize Aristotle's doctrines with Neoplatonic cosmology.[67]

Aristotle's works gained a reputation for complexity that is never more evident than with the Metaphysics — Avicenna said that he had read the Metaphysics of Aristotle forty times, but did not understand it until he also read al-Farabi's Purposes of the Metaphysics of Aristotle.

> I read the Metaphysics [of Aristotle], but I could not comprehend its contents, and its author's object remained obscure to me, even when I had gone back and read it forty times and had got to the point where I had memorized it. In spite of this I could not understand it nor its object, and I despaired of myself and said, "This is a book which there is no way of understanding." But one day in the afternoon when I was at the booksellers' quarter a salesman approached with a book in his hand which he was calling out for sale. (...) So I bought it and, lo and behold, it was Abu Nasr al-Farabi's book[e] on the objects of the Metaphysics. I returned home and was quick to read it, and in no time the objects of that book became clear to me because I had got to the point of having memorized it by heart.[68]

The flourishing of Arabic Aristotelian scholarship reached its peak with the work of Ibn Rushd (Latinized: Averroes), whose extensive writings on Aristotle's work led to his later designation as "The Commentator" by future generations of scholars. Maimonides wrote the Guide to the Perplexed in the 12th century, to demonstrate the compatibility of Aristotelian science with Biblical revelation.

The Fourth Crusade (1202-1204) facilitated the discovery and delivery of many original Greek manuscripts to Western Europe. William of Moerbeke's translations of the work formed the basis of the commentaries on the Metaphysics by Albert the Great, Thomas Aquinas and Duns Scotus. They were also used by modern scholars for Greek editions, as William had access to Greek manuscripts that are now lost. Werner Jaeger lists William's translation in his edition of the Greek text in the Scriptorum Classicorum Bibliotheca Oxoniensis (Oxford 1962).[69]

#### Nicomachean Ethics

[edit]

First page of a 1566 edition of the Aristotolic Ethics in Greek and Latin

The Nicomachean Ethics is Aristotle's best-known work on ethics: the science of the good for human life, that which is the goal or end at which all our actions aim.[70]: I.2 It consists of ten sections, referred to as books or scrolls, and is closely related to Aristotle's Eudemian Ethics. The work is essential in explaining Aristotelian ethics.

Its theme is a Socratic question previously explored in the works of Plato, Aristotle's friend and teacher, about how to best live. In Aristotle's Metaphysics, he describes how Socrates, the friend and teacher of Plato, turned philosophy to human questions, whereas pre-Socratic philosophy had only been theoretical. Ethics, Aristotle claimed, is practical rather than theoretical, in the Aristotelian senses of these terms. It is not merely an investigation about what good consists of, but it aims to be of practical help in achieving the good.[70]: II.2 (1103b)

It is connected to another of Aristotle's practical works, Politics, which reflects a similar goal: for people to become good, through the creation and maintenance of social institutions. Ethics is about how individuals should best live, while politics adopts the perspective of a law-giver, looking at the good of a whole community.

The Nicomachean Ethics had an important influence on the European Middle Ages, and was one of the core works of medieval philosophy. As such, it was of great significance in the development of all modern philosophy as well as European law and theology. Aristotle became known as "the Philosopher" (for example, this is how he is referred to in the works of Thomas Aquinas). In the Middle Ages, a synthesis between Aristotelian ethics and Christian theology became widespread, as introduced by Albertus Magnus. The most important version of this synthesis was that of Thomas Aquinas. Other more "Averroist" Aristotelians such as Marsilius of Padua were also influential.

Until well into the seventeenth century, the Nicomachean Ethics was still widely regarded as the main authority for the discipline of ethics at Protestant universities, with over fifty Protestant commentaries published before 1682.[71] During the seventeenth century, however, authors such as Francis Bacon and Thomas Hobbes argued that the medieval and Renaissance Aristotelian tradition in practical thinking was impeding philosophy.[72]

Interest in Aristotle's ethics has been renewed by the virtue ethics revival. Recent philosophers in this field include Alasdair MacIntyre, G. E. M. Anscombe, Mortimer Adler, Hans-Georg Gadamer, and Martha Nussbaum.

### Plutarch

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Plutarch c. AD 46 – after AD 119)[73] was a Greek Middle Platonist philosopher,[74] historian, biographer, essayist, and priest at the Temple of Apollo in Delphi. He is known primarily for his Parallel Lives, a series of biographies of illustrious Greeks and Romans, and Moralia, a collection of essays and speeches.[75]

External videos

Shakespeare: Metamorphosis – Plutarch's "Lives" (1579), Senate House Library[76]

Plutarch's writings had an enormous influence on English and French literature. Shakespeare paraphrased parts of Thomas North's translation of selected Lives in his plays, and occasionally quoted from them verbatim.[77]

Jean-Jacques Rousseau quotes from Plutarch in the 1762 Emile, or On Education, a treatise on the education of the whole person for citizenship. Rousseau introduces a passage from Plutarch in support of his position against eating meat: "'You ask me', said Plutarch, 'why Pythagoras abstained from eating the flesh of beasts...'"[78]

Ralph Waldo Emerson and the Transcendentalists were greatly influenced by the Moralia and in his glowing introduction to the five-volume, 19th-century edition, he called the Lives "a bible for heroes".[79] He also opined that it was impossible to "read Plutarch without a tingling of the blood; and I accept the saying of the Chinese Mencius: 'A sage is the instructor of a hundred ages. When the manners of Loo are heard of, the stupid become intelligent, and the wavering, determined.'"[80]

Montaigne's Essays draw extensively on Plutarch's Moralia and are consciously modelled on the Greek's easygoing and discursive inquiries into science, manners, customs and beliefs. Essays contains more than 400 references to Plutarch and his works.[81]

James Boswell quoted Plutarch on writing lives, rather than biographies, in the introduction to his own Life of Samuel Johnson. Other admirers included Ben Jonson, John Dryden, Alexander Hamilton, John Milton, Edmund Burke, Joseph De Maistre, Mark Twain, Louis L'amour, and Francis Bacon, as well as such disparate figures as Cotton Mather and Robert Browning.

Plutarch's influence declined in the 19th and 20th centuries, but it remains embedded in the popular ideas of Greek and Roman history. One of his most famous quotes was one that he included in one of his earliest works. "The world of man is best captured through the lives of the men who created history."

## Statesmen

[edit]

### Solon

[edit]

Solon (c. 630 – c. 560 BC)[82] was an archaic Athenian statesman, lawmaker, political philosopher, and poet. He is one of the Seven Sages of Greece and credited with laying the foundations for Athenian democracy.[83][84][85] Solon's efforts to legislate against political, economic and moral decline[86] resulted in his constitutional reform overturning most of Draco's laws.

Solon's reforms included debt relief later known and celebrated among Athenians as the Seisachtheia (shaking off of burdens). He is described by Aristotle in the Athenian Constitution as "the first people's champion." Demosthenes credited Solon's reforms with starting a golden age.

Modern knowledge of Solon is limited by the fact that his works only survive in fragments and appear to feature interpolations by later authors. It is further limited by the general paucity of documentary and archaeological evidence covering Athens in the early 6th century BC.[87]

Ancient authors such as Philo of Alexandria,[88] Herodotus, and Plutarch are the main sources, but wrote about Solon long after his death. Fourth-century BC orators, such as Aeschines, tended to attribute to Solon all the laws of their own, much later times.[86][89]

### Pericles

[edit]

Pericles (c. 495 – 429 BC) was a Greek politician and general during the Golden Age of Athens. He was prominent and influential in Ancient Athenian politics, particularly between the Greco-Persian Wars and the Peloponnesian War, and was acclaimed by Thucydides, a contemporary historian, as "the first citizen of Athens".[90] Pericles turned the Delian League into an Athenian empire and led his countrymen during the first two years of the Peloponnesian War. The period during which he led Athens, roughly from 461 to 429 BC, is sometimes known as the "Age of Pericles", but the period thus denoted can include times as early as the Persian Wars or as late as the following century.

Pericles promoted the arts and literature, and it is principally through his efforts that Athens acquired the reputation of being the educational and cultural center of the ancient Greek world. He started an ambitious project that generated most of the surviving structures on the Acropolis, including the Parthenon. This project beautified and protected the city, exhibited its glory and gave work to its people.[91] Pericles also fostered Athenian democracy to such an extent that critics called him a populist.[92][93] Pericles was descended, through his mother, from the powerful and historically-influential Alcmaeonid family. He, along with several members of his family, succumbed to the Plague of Athens in 429 BC, which weakened the city-state during a protracted conflict with Sparta.

### Demosthenes

[edit]

Demosthenes (384 – 12 October 322 BC) was a Greek statesman and orator in ancient Athens. His orations constitute a significant expression of contemporary Athenian intellectual prowess and provide insight into the politics and culture of ancient Greece during the 4th century BC. Demosthenes learned rhetoric by studying the speeches of previous great orators. He delivered his first judicial speeches at the age of 20, in which he successfully argued that he should gain from his guardians what was left of his inheritance. For a time, Demosthenes made his living as a professional speechwriter (logographer) and a lawyer, writing speeches for use in private legal suits.

Demosthenes grew interested in politics during his time as a logographer, and in 354 BC he gave his first public political speeches. He went on to devote his most productive years to opposing Macedon's expansion. He idealized his city and strove throughout his life to restore Athens' supremacy and motivate his compatriots against Philip II of Macedon. He sought to preserve his city's freedom and to establish an alliance against Macedon, in an unsuccessful attempt to impede Philip's plans to expand his influence southward, conquering the Greek states.

After Philip's death, Demosthenes played a leading part in his city's uprising against the new king of Macedonia, Alexander the Great. However, his efforts failed, and the revolt was met with a harsh Macedonian reaction. To prevent a similar revolt against his own rule, Alexander's successor in this region, Antipater, sent his men to track Demosthenes down. Demosthenes killed himself to avoid being arrested by Archias of Thurii, Antipater's confidant.

The Alexandrian Canon, compiled by Aristophanes of Byzantium and Aristarchus of Samothrace, called Demosthenes one of the ten greatest Attic orators and logographers. Longinus likened Demosthenes to a blazing thunderbolt and argued that he had "perfected to the utmost the tone of lofty speech, living passions, copiousness, readiness, speed."[94] Quintilian extolled him as lex orandi ("the standard of oratory"). Cicero said of him that inter omnis unus excellat ("he stands alone among all the orators"), and also praised him as "the perfect orator" who lacked nothing.[95]

#### Rhetorical legacy

[edit]

Demosthenes is widely considered one of the greatest orators of all time,[96][97] and his fame has continued down the ages. Authors and scholars who flourished at Rome, such as Longinus and Caecilius, regarded his oratory as sublime.[98] Juvenal acclaimed him as "largus et exundans ingenii fons" (a large and overflowing fountain of genius),[99] and he inspired Cicero's speeches against Mark Antony, also called the Philippics. According to Professor of Classics Cecil Wooten, Cicero ended his career by trying to imitate Demosthenes' political role.[100] Plutarch drew attention in his Life of Demosthenes to the strong similarities between the personalities and careers of Demosthenes and Marcus Tullius Cicero:[101]

> The divine power seems originally to have designed Demosthenes and Cicero upon the same plan, giving them many similarities in their natural characters, as their passion for distinction and their love of liberty in civil life, and their want of courage in dangers and war, and at the same time also to have added many accidental resemblances. I think there can hardly be found two other orators, who, from small and obscure beginnings, became so great and mighty; who both contested with kings and tyrants; both lost their daughters, were driven out of their country, and returned with honour; who, flying from thence again, were both seized upon by their enemies, and at last ended their lives with the liberty of their countrymen.

Phryne Going to the Public Baths as Venus and Demosthenes Taunted by Aeschines by J. M. W. Turner (1838).

During the Middle Ages and Renaissance, Demosthenes had a reputation for eloquence.[102] He was read more than any other ancient orator; only Cicero offered any real competition.[103] French author and lawyer Guillaume du Vair praised his speeches for their artful arrangement and elegant style; John Jewel, Bishop of Salisbury, and Jacques Amyot, a French Renaissance writer and translator, regarded Demosthenes as a great or even the "supreme" orator.[104] For Thomas Wilson, who first published translation of his speeches into English, Demosthenes was not only an eloquent orator, but, mainly, an authoritative statesman, "a source of wisdom".[105]

In modern history, orators such as Henry Clay would mimic Demosthenes' technique. His ideas and principles survived, influencing prominent politicians and movements of our times. Hence, he constituted a source of inspiration for the authors of The Federalist Papers (a series of 85 essays arguing for the ratification of the United States Constitution) and for the major orators of the French Revolution.[106] French Prime Minister Georges Clemenceau was among those who idealised Demosthenes and wrote a book about him.[107] For his part, Friedrich Nietzsche often composed his sentences according to the paradigms of Demosthenes, whose style he admired.[108]

## Historians and academics

[edit]

### Thucydides

[edit]

'Thucydides (c. 460 – c. 400 BC) was an Athenian historian and general. His History of the Peloponnesian War recounts the fifth-century BC war between Sparta and Athens until the year 411 BC. Thucydides has been dubbed the father of "scientific history" by those who accept his claims to have applied strict standards of impartiality and evidence-gathering and analysis of cause and effect, without reference to intervention by the gods, as outlined in his introduction to his work.[109][110][111]

He also has been called the father of the school of political realism, which views the political behavior of individuals and the subsequent outcomes of relations between states as ultimately mediated by, and constructed upon, fear and self-interest.[112] His text is still studied at universities and military colleges worldwide.[113] The Melian dialogue is regarded as a seminal text of international relations theory, while his version of Pericles' Funeral Oration is widely studied by political theorists, historians, and students of the classics.

More generally, Thucydides developed an understanding of human nature to explain behavior in such crises as plagues, massacres, and wars.[114]

## Scientists

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### Hippocrates

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Hippocrates of Kos (c. 460 – c. 370 BC), also known as Hippocrates II, was a Greek physician of the classical period who is considered one of the most outstanding figures in the history of medicine. He is traditionally referred to as the "Father of Medicine" in recognition of his lasting contributions to the field, such as the use of prognosis and clinical observation, the systematic categorization of diseases, or the formulation of humoral theory. The Hippocratic school of medicine revolutionized ancient Greek medicine, establishing it as a discipline distinct from other fields with which it had traditionally been associated (theurgy and philosophy), thus establishing medicine as a profession.[115][116]

However, the achievements of the writers of the Hippocratic Corpus, the practitioners of Hippocratic medicine, and the actions of Hippocrates himself were often conflated; thus very little is known about what Hippocrates actually thought, wrote, and did. Hippocrates is commonly portrayed as the paragon of the ancient physician and credited with coining the Hippocratic Oath, which is still relevant and in use today. He is also credited with greatly advancing the systematic study of clinical medicine, summing up the medical knowledge of previous schools, and prescribing practices for physicians through the Hippocratic Corpus and other works.[115][117]

## Mathematics

[edit]

An illustration of Euclid's proof of the Pythagorean theorem

Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly from the late 7th century BC to the 6th century AD, around the shores of the Mediterranean. Greek mathematicians lived in cities spread over the entire region, from Anatolia to Italy and North Africa, but were united by Greek culture and the Greek language.[118] The development of mathematics as a theoretical discipline and the use of deductive reasoning in proofs is an important difference between Greek mathematics and those of preceding civilizations.[119][120]

### Archimedes

[edit]

Archimedes of Syracuse c. 287 – c. 212 BC) was an Ancient Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily.[121] Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Considered the greatest mathematician of ancient history, and one of the greatest of all time,[122] Archimedes anticipated modern calculus and analysis by applying the concept of the infinitely small and the method of exhaustion to derive and rigorously prove a range of geometrical theorems.[123][124] These include the area of a circle, the surface area and volume of a sphere, the area of an ellipse, the area under a parabola, the volume of a segment of a paraboloid of revolution, the volume of a segment of a hyperboloid of revolution, and the area of a spiral.[125][126]

Archimedes' other mathematical achievements include deriving an approximation of pi, defining and investigating the Archimedean spiral, and devising a system using exponentiation for expressing very large numbers. He was also one of the first to apply mathematics to physical phenomena, working on statics and hydrostatics. Archimedes' achievements in this area include a proof of the law of the lever,[127] the widespread use of the concept of center of gravity,[128] and the enunciation of the law of buoyancy known as Archimedes' principle.[129] He is also credited with designing innovative machines, such as his screw pump, compound pulleys, and defensive war machines to protect his native Syracuse from invasion.

Archimedes died during the siege of Syracuse, when he was killed by a Roman soldier despite orders that he should not be harmed. Cicero describes visiting Archimedes' tomb, which was surmounted by a sphere and a cylinder that Archimedes requested be placed there to represent his mathematical discoveries.

Unlike his inventions, Archimedes' mathematical writings were little known in antiquity. Mathematicians from Alexandria read and quoted him, but the first comprehensive compilation was not made until c. 530 AD by Isidore of Miletus in Byzantine Constantinople, while commentaries on the works of Archimedes by Eutocius in the 6th century opened them to wider readership for the first time.

The relatively few copies of Archimedes' written work that survived through the Middle Ages were an influential source of ideas for scientists during the Renaissance and again in the 17th century,[130][131] while the discovery in 1906 of previously lost works by Archimedes in the Archimedes Palimpsest has provided new insights into how he obtained mathematical results.[132][133][134][135]

### Euclid

[edit]

Euclid fl. 300 BC) was an ancient Greek mathematician active as a geometer and logician.[136] Considered the "father of geometry",[137] 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, 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.

Very little is known of Euclid's life, and most information comes from the scholars Proclus and Pappus of Alexandria many centuries later. Medieval Islamic mathematicians invented a fanciful biography, and medieval Byzantine and early Renaissance scholars mistook him for the earlier philosopher Euclid of Megara. It is now generally accepted that he spent his career in Alexandria and lived around 300 BC, after Plato's students and before Archimedes. There is some speculation that Euclid studied at the Platonic Academy and later taught at the Musaeum; he is regarded as bridging the earlier Platonic tradition in Athens with the later tradition of Alexandria.

In the Elements, Euclid deduced the theorems from a small set of axioms. He also wrote works on perspective, conic sections, spherical geometry, number theory, and mathematical rigour. In addition to the Elements, Euclid wrote a central early text in the optics field, Optics, and lesser-known works including Data and Phaenomena. Euclid's authorship of two other texts—On Divisions of Figures, Catoptrics—has been questioned. He is thought to have written many now lost works.

#### Euclidean geometry

[edit]

Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated earlier,[138] Euclid was the first to organize these propositions into a logical system in which each result is proved from axioms and previously proved theorems.[139]

The Elements begins with plane geometry, still taught in secondary school (high school) as the first axiomatic system and the first examples of mathematical proofs. It goes on to the solid geometry of three dimensions. Much of the Elements states results of what are now called algebra and number theory, explained in geometrical language.[138]

For more than two thousand years, the adjective "Euclidean" was unnecessary because Euclid's axioms seemed so intuitively obvious (with the possible exception of the parallel postulate) that theorems proved from them were deemed absolutely true, and thus no other sorts of geometry were possible. Today, however, many other self-consistent non-Euclidean geometries are known, the first ones having been discovered in the early 19th century. An implication of Albert Einstein's theory of general relativity is that physical space itself is not Euclidean, and Euclidean space is a good approximation for it only over short distances (relative to the strength of the gravitational field).[140]

Euclidean geometry is an example of synthetic geometry, in that it proceeds logically from axioms describing basic properties of geometric objects such as points and lines, to propositions about those objects. This is in contrast to analytic geometry, introduced almost 2,000 years later by René Descartes, which uses coordinates to express geometric properties by means of algebraic formulas.

#### Euclid's Elements

[edit]

Euclid's Elements' (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 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. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.

Euclid's Elements has been referred to as the most successful[f][g] and influential[h] textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482,[141] the number reaching well over one thousand.[i]

For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read.[citation needed]

## Artists

[edit]

### Theatre

[edit]

Main article: Theatre of ancient Greece

A theatrical culture flourished in ancient Greece from 700 BC. At its centre was the city-state of Athens, which became a significant cultural, political, and religious place during this period, and theatre was institutionalised there as part of a festival called the Dionysia, which honoured the god Dionysus. Tragedy (late 500 BC), comedy (490 BC), and the satyr play were the three dramatic genres to emerge there. Athens exported the festival to its numerous colonies.

Modern Western theatre comes, in large measure, from the theatre of ancient Greece, from which it borrows technical terminology, classification into genres, and many of its themes, stock characters, and plot elements.

### Sophocles

[edit]

Sophocles (c. 497/496 – winter 406/405 BC)[142] was an ancient Greek tragedian, known as one of three from whom at least one play has survived in full. His first plays were written later than, or contemporary with, those of Aeschylus; and earlier than, or contemporary with, those of Euripides. Sophocles wrote over 120 plays,[143] but only seven have survived in a complete form: Ajax, Antigone, Women of Trachis, Oedipus Rex, Electra, Philoctetes, and Oedipus at Colonus.[144] For almost fifty years, Sophocles was the most celebrated playwright in the dramatic competitions of the city-state of Athens which took place during the religious festivals of the Lenaea and the Dionysia. He competed in thirty competitions, won twenty-four, and was never judged lower than second place. Aeschylus won thirteen competitions, and was sometimes defeated by Sophocles; Euripides won four.[145]

The most famous tragedies of Sophocles feature Oedipus and Antigone: they are generally known as the Theban plays, though each was part of a different tetralogy (the other members of which are now lost). Sophocles influenced the development of drama, most importantly by adding a third actor (attributed to Sophocles by Aristotle; to Aeschylus by Themistius),[146] thereby reducing the importance of the chorus in the presentation of the plot. He also developed his characters to a greater extent than earlier playwrights.[147]

### Euripides

[edit]

Euripides (c. 480 – c. 406 BC) was a tragedian of classical Athens. Along with Aeschylus and Sophocles, he is one of the three ancient Greek tragedians for whom any plays have survived in full. Some ancient scholars attributed ninety-five plays to him, but the Suda says it was ninety-two at most. Of these, eighteen or nineteen have survived more or less complete (Rhesus is suspect).[148] There are many fragments (some substantial) of most of his other plays. More of his plays have survived intact than those of Aeschylus and Sophocles together, partly because his popularity grew as theirs declined[149][150]—he became, in the Hellenistic Age, a cornerstone of ancient literary education, along with Homer, Demosthenes, and Menander.[151]

Euripides is identified with theatrical innovations that have profoundly influenced drama down to modern times, especially in the representation of traditional, mythical heroes as ordinary people in extraordinary circumstances. This new approach led him to pioneer developments that later writers adapted to comedy, some of which are characteristic of romance. He also became "the most tragic of poets",[nb 1] focusing on the inner lives and motives of his characters in a way previously unknown.[152][153] He was "the creator of ... that cage which is the theatre of Shakespeare's Othello, Racine's Phèdre, of Ibsen and Strindberg," in which "imprisoned men and women destroy each other by the intensity of their loves and hates".[154] But he was also the literary ancestor of comic dramatists as diverse as Menander and George Bernard Shaw.[155]

His contemporaries associated him with Socrates as a leader of a decadent intellectualism. Both were frequently lampooned by comic poets such as Aristophanes. Socrates was eventually put on trial and executed as a corrupting influence. Ancient biographies hold that Euripides chose a voluntary exile in old age, dying in Macedonia,[156] but recent scholarship casts doubt on these sources.

### Aristophanes

[edit]

Aristophanes (c. 446 – c. 386 BC), son of Philippus and Zenodora,[157][158] of the deme Kydathenaion (Latin: Cydathenaeum),[159] was a comic playwright or comedy-writer of ancient Athens and a poet of Old Attic Comedy.[160] Eleven of his forty plays survive virtually complete. These provide the most valuable examples of a genre of comic drama known as Old Comedy and are used to define it, along with fragments from dozens of lost plays by Aristophanes and his contemporaries.[161]

Also known as "The Father of Comedy"[162] and "the Prince of Ancient Comedy",[163] Aristophanes has been said to recreate the life of ancient Athens more convincingly than any other author.[164] His powers of ridicule were feared and acknowledged by influential contemporaries; Plato[165] singled out Aristophanes' play The Clouds as slander that contributed to the trial and subsequent condemning to death of Socrates, although other satirical playwrights[166] had also caricatured the philosopher.

Aristophanes' second play, The Babylonians (now lost), was denounced by Cleon as a slander against the Athenian polis. It is possible that the case was argued in court, but details of the trial are not recorded and Aristophanes caricatured Cleon mercilessly in his subsequent plays, especially The Knights, the first of many plays that he directed himself. "In my opinion," he says through that play's Chorus, "the author-director of comedies has the hardest job of all."[167]

## See also

[edit]

### General

[edit]

* Ancient Greek literature
* Mythology
* Cosmology
* Ancient philosophy
* Byzantine philosophy
* Definitions of philosophy
* English words of Greek origin
* International scientific vocabulary
* List of ancient Greek philosophers

### Language and linguistics

[edit]

* Translingualism
* Transliteration of Greek into English
* Classical compound
* Cyrillization of Greek
* English words of Greek origin
* Greek alphabet
* List of Latin and Greek words commonly used in systematic names
* Wiktionary's articles on Ancient Greek romanization and pronunciation, numerals, punctuation and Modern Greek transliteration.

### Arts

[edit]

* Drama
* Tragedy
* Comedy

## Notes

[edit]

1. ^ "The dates of his life cannot be fixed exactly, but assuming the approximate correctness of the statement of Aristoxenus (ap. Porph. V.P. 9) that he left Samos to escape the tyranny of Polycrates at the age of forty, we may put his birth round about 570 BC, or a few years earlier. The length of his life was variously estimated in antiquity, but it is agreed that he lived to a fairly ripe old age, and most probably he died at about seventy-five or eighty."[43]
2. ^ Cicero, Tusculan Disputations, 5.3.8–9 (citing Heraclides Ponticus fr. 88 Wehrli), Diogenes Laërtius 1.12, 8.8, Iamblichus VP 58\. Burkert attempted to discredit this ancient tradition, but it has been defended by C. J. De Vogel, Pythagoras and Early Pythagoreanism (1966), pp. 97–102, and C. Riedweg, Pythagoras: His Life, Teaching, And Influence (2005), p. 92.
3. ^ "...the subject of philosophy, as it is often conceived - a rigorous and systematic examination of ethical, political, metaphysical, and epistemological issues, armed with a distinctive method - can be called his invention."[45][46]
4. ^ sometimes referred to as Wisdom, sometimes as, and sometimes as Theology
5. ^ probably the Kitab al-huruf, ed. by Muhsin Mahdi as Alfarabi's Book of Letters (Beyrouth, 1969)
6. ^ Wilson 2006, p. 278 states, "Euclid's Elements subsequently became the basis of all mathematical education, not only in the Roman and Byzantine periods, but right down to the mid-20th century, and it could be argued that it is the most successful textbook ever written."
7. ^ Boyer 1991, p. 100 notes, "As teachers at the school he called a band of leading scholars, among whom was the author of the most fabulously successful mathematics textbook ever written – the Elements (Stoichia) of Euclid".
8. ^ Boyer 1991, p. 119 notes, "The Elements of Euclid not only was the earliest major Greek mathematical work to come down to us, but also the most influential textbook of all times. [...]The first printed versions of the Elements appeared at Venice in 1482, one of the very earliest of mathematical books to be set in type; it has been estimated that since then at least a thousand editions have been published. Perhaps no book other than the Bible can boast so many editions, and certainly no mathematical work has had an influence comparable with that of Euclid's Elements".
9. ^ Bunt, Jones & Bedient 1988, p. 142 state, "the Elements became known to Western Europe via the Arabs and the Moors. There, the Elements became the foundation of mathematical education. More than 1000 editions of the Elements are known. In all probability, it is, next to the Bible, the most widely spread book in the civilization of the Western world."

### Notes bene

[edit]

1. ^ The epithet "the most tragic of poets" was mastered[clarification needed] by Aristotle, probably in reference to a perceived preference for unhappy endings, but it has wider relevance: "For in his representation of human suffering Euripides pushes to the limits of what an audience can stand; some of his scenes are almost unbearable."—B. Knox,'Euripides' in The Cambridge History of Classical Literature I: Greek Literature, P. Easterling and B. Knox (ed.s), Cambridge University Press (1985), p. 339

### Special notes

[edit]

1. ^ The precise end date of this period is disputed, with estimates ranging from the 3rd-8th centuries AD. Traditionally, it is given as the late 5th century AD.

## References

[edit]

1. ^ Anthony Grafton, Glenn W. Most, and Salvatore Settis, preface to The Classical Tradition (Harvard University Press, 2010), pp. viii–ix.
2. ^ Anthony Grafton, Glenn W. Most, and Salvatore Settis, preface to The Classical Tradition (Harvard University Press, 2010), pp. vii–viii.
3. ^ Grafton, Most, and Settis, preface to The Classical Tradition, p. viii.
4. ^ Grafton, Most, and Settis, entry on "mythology", in The Classical Tradition, p. 614 et passim.
5. ^ Grafton, Most, and Settis, preface to The Classical Tradition, p. x.
6. ^ Craig W. Kallendorf, introduction to A Companion to the Classical Tradition (Blackwell, 2007), p. 2.
7. ^ Grafton, Most, and Settis, preface to The Classical Tradition, p. vii; Kallendorf, introduction to Companion, p. 2.
8. ^ Charles Martindale, "Reception", in A Companion to the Classical Tradition (2007), p. 298.
9. ^ The "Classical Age" is "the modern designation of the period from about 500 B.C. to the death of Alexander the Great in 323 B.C." (Thomas R. Martin, Ancient Greece, Yale University Press, 1996, p. 94).
10. ^ Gruen, E. (2010). Rethinking the Other in Antiquity. Princeton University Press. doi:10.1515/9781400836550. ISBN 9781400836550.
11. ^ McLaughlin, Raoul (11 September 2014). The Roman Empire and the Indian Ocean: The Ancient World Economy and the Kingdoms of Africa, Arabia and India. Pen & Sword. ISBN 9781473840959.
12. ^ McLaughlin, Raoul (11 November 2016). The Roman Empire and the Silk Routes: The Ancient World Economy & the Empires of Parthia, Central Asia & Han China. Pen & Sword. ISBN 9781473889811.
13. ^ Poe EA (1845). "To Helen#Revised 1845 version".
14. ^ Helga von Heintze [de]: Römische Kunst (Roman art). In: Walter-Herwig Schuchhardt (1960): Bildende Kunst I (Archäologie) (Visual arts I – archaeology). Das Fischer Lexikon [de]. S. Fischer Verlag. p. 192\. "Bestimmend blieb (...) der italisch-römische Geist, der sich der entlehnten Formen nur bediente. (...) Ohne [die] Begegnung [mit der griechischen Formenwelt, author's note] hätte der italisch-römische Geist sich wohl kaum in künstlerischen Schöpfungen ausdrücken können und wäre nicht über die Ansätze, die wir in den Kanopen von Chiusi (...), der kapitolinischen Wölfin (...), dem Krieger von Capestrano (...) erhalten haben, hinausgekommen. Auch die gleichermaßen realistische wie unkünstlerische Auffassung der Porträts im 2. und 1. J[ahr]h[undert] v[or] Chr[istus] konnte sich nur unter dem Einfluß griechischer Formen ändern." ("Determinant remained the Italic-Roman spirit, that just availed itself of the borrowed forms. (...) Without having come across [the world of the Greek forms], the Italic–Roman spirit would hardly have been able to express itself in works of art and would not have got beyond the starts that are preserved in the canopic jars of Chiusi, the Capitoline Wolf, the Warrior of Capestrano. Also the likewise realistic and inartistic conception and production of the portraits in the second and the first centuries BC could only change under the influence of Greek forms.")
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* Grayling 2019, Socrates, Plato, Aristotle

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141. ^ Boyer 1991, p. 100.
142. ^ Sommerstein (2002), p. 41.
143. ^ The exact number is unknown, the Suda says he wrote 123, another ancient source says 130, but no exact number "is possible", see Lloyd-Jones 2003, p. 3.
144. ^ Suda (ed. Finkel et al.): s.v. Σοφοκλῆς.
145. ^ Modern influence of Ancient Greece at the Encyclopædia Britannica
146. ^ LLoyd-Jones, H. (ed. and trans.) (1997). Introduction, in Sophocles I. Sophocles. Cambridge, Massachusetts; London, England: Loeb Classical Library, Harvard University Press. p. 9\. ISBN 9780674995574.
147. ^ Freeman, p. 247.
148. ^ Walton (1997, viii, xix)
149. ^ B. Knox, 'Euripides' in The Cambridge History of Classical Literature I: Greek Literature, P. Easterling and B. Knox (eds.), Cambridge University Press (1985), p. 316
150. ^ Moses Hadas, Ten Plays by Euripides, Bantam Classic (2006), Introduction, p. ix
151. ^ L.P.E.Parker, Euripides: Alcestis, Oxford University Press (2007), Introduction p. lx
152. ^ Moses Hadas, Ten Plays by Euripides, Bantam Classic (2006), Introduction, pp. xviii–xix
153. ^ A.S. Owen, Euripides: Ion, Bristol Classical Press (1990), Introduction p. vii
154. ^ B.M.Knox, 'Euripides' in The Cambridge History of Classical Literature I: Greek Literature, P. Easterling and B. Knox (ed.s), Cambridge University Press (1985), p. 329
155. ^ Moses Hadas, Ten Plays by Euripides, Bantam Classic (2006), Introduction, pp. viii–ix
156. ^ Denys L. Page, Euripides: Medea, Oxford University Press (1976), Introduction pp. ix–xii
157. ^ "Testimonia".
158. ^ "Thesmophoriazusae".
159. ^ Alan Sommerstein, ed. (1973). Aristophanes: Lysistrata, The Acharnians, The Clouds. Penguin Books. p. 9.; cf. "Lexicon of Greek Personal Names, Vol 2, Aristophanes 32".
160. ^ Roman, Luke; Roman, Monica (2010). Encyclopedia of Greek and Roman Mythology. Infobase Publishing. p. 81\. ISBN 978-1438126395.
161. ^ K. J. Dover, ed. (1970). Aristophanes: Clouds. Oxford University Press. Intro. p. x.
162. ^ Edith Hall; Amanda Wrigley, eds. (2007). Aristophanes in Performance 421 BC – AD 2007: Peace, Birds and Frogs. Oxford: Legenda. p. 1.
163. ^ Ebenezer Cobham Brewer. "Character Sketches of Romance, Fiction and the Drama, Vol. 1". manybooks.net.
164. ^ Barrett 2003, p. 26
165. ^ Apology, Greek text, edited by J. Burnet, section 19c
166. ^ Sommerstein, Alan, ed. (1973). Lysistrata, The Acharnians, The Clouds. Penguin Books. p. 16.
167. ^ Ancient Greek: "κωμῳδοδιδασκαλίαν εἶναι χαλεπώτατον ἔργον ἁπάντων." F. W. Hall; W. M. Geldart (eds.). Aristophanis Comoediae, Tomus 1. Oxford Classical Texts. "Knights" line 516

## Bibliography

[edit]

* Adamson, Peter (2019). Medieval Philosophy. A History of Philosophy Without Any Gaps. Vol. 4\. Oxford University Press. ISBN 978-0-19-884240-8. Retrieved 25 May 2023.
* Barrett, David; Sommerstein, Alan, eds. (2003). The Birds and Other Plays. Penguin Classics.
* Blackson, Thomas A (2011). Ancient Greek Philosophy: From the Presocratics to the Hellenistic Philosophers. Wiley. ISBN 978-1-4443-9608-9.
* Bruno, Leonard C. (2003) [1999]. Math and Mathematicians: The History of Math Discoveries Around the World. Baker, Lawrence W. Detroit: U X L. ISBN 978-0-7876-3813-9. OCLC 41497065.
* Bunt, Lucas Nicolaas Hendrik; Jones, Phillip S.; Bedient, Jack D. (1988). The Historical Roots of Elementary Mathematics. Dover.
* Cooper, John M.; Hutchinson, D.S., eds. (1997). Plato: Complete Works. Hackett Publishing.
* Duignan, Brian (2010). Ancient Philosophy: From 600 BCE to 500 CE. Britannica Educational Publishing. ISBN 978-1-61530-141-6.
* Eves, Howard (1963). A Survey of Geometry (Volume One). Allyn and Bacon.
* Garrison, Fielding H. (1966), History of Medicine, Philadelphia: W.B. Saunders Company
* Graham, Jacob N. (2023). "Ancient Greek Philosophy". Internet Encyclopedia of Philosophy. Archived from the original on 25 August 2022. Retrieved 25 May 2023.
* Grayling, A. C. (20 June 2019). The History of Philosophy. Penguin UK. ISBN 978-0-241-98086-6. Retrieved 24 May 2023.
* Guthrie, W. K. C. (1972). A History of Greek Philosophy: Volume 3, The Fifth Century Enlightenment, Part 2, Socrates. Cambridge University Press. doi:10.1017/CBO9780511518454. ISBN 978-0-521-09667-6.
* Kraut, Richard (11 September 2013). Zalta, Edward N. (ed.). "Plato". The Stanford Encyclopedia of Philosophy. Stanford University. Archived from the original on 6 September 2018. Retrieved 3 April 2014.
* Lagerlund, Henrik, ed. (2020). Encyclopedia of medieval philosophy: philosophy between 500 and 1500 (Second ed.). Springer. ISBN 978-94-024-1663-3.
* Long, A A (1986). Hellenistic Philosophy: Stoics, Epicureans, Sceptics. University of California Press. ISBN 978-0-520-05808-8.
* Long, A. A. (12 September 1996). Hellenistic Philosophy: Stoics, Epicureans, Sceptics. Bloomsbury Academic. ISBN 978-0-7156-1238-5. Retrieved 15 January 2023.
* MacDonald, Scott; Kretzmann, Norman (1996). "Medieval philosophy". Routledge Encyclopedia of Philosophy. Routledge. Archived from the original on 9 May 2023. Retrieved 28 May 2023.
* Marenbon, John (2023). "Medieval Philosophy". The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University. Archived from the original on 26 March 2023. Retrieved 27 May 2023.
* Nuland, Sherwin B. (1988), Doctors, Knopf, ISBN 978-0-9539240-3-5
* Sialaros, Michalis (2021) [2015]. "Euclid". Oxford Classical Dictionary. Oxford: Oxford University Press. doi:10.1093/acrefore/9780199381135.013.2521. ISBN 978-0-19-938113-5.
* Whitehead, Alfred North (1978). Process and Reality. New York: The Free Press.
* Wilson, Nigel Guy (2006). Encyclopedia of Ancient Greece. Routledge.

## External links

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