Education In Ancient Greece
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Education for Greek people was vastly "democratized" in the 5th century B.C., influenced by the
Sophists A sophist () was a teacher in ancient Greece in the fifth and fourth centuries BCE. Sophists specialized in one or more subject areas, such as philosophy, rhetoric, music, athletics and mathematics. They taught ''arete'', "virtue" or "excellen ...
,
Plato Plato ( ; Greek language, Greek: , ; born  BC, died 348/347 BC) was an ancient Greek philosopher of the Classical Greece, Classical period who is considered a foundational thinker in Western philosophy and an innovator of the writte ...
, and
Isocrates Isocrates (; ; 436–338 BC) was an ancient Greek rhetorician, one of the ten Attic orators. Among the most influential Greek rhetoricians of his time, Isocrates made many contributions to rhetoric and education through his teaching and writte ...
. Later, in the
Hellenistic period In classical antiquity, the Hellenistic period covers the time in Greek history after Classical Greece, between the death of Alexander the Great in 323 BC and the death of Cleopatra VII in 30 BC, which was followed by the ascendancy of the R ...
of
Ancient Greece Ancient Greece () was a northeastern Mediterranean civilization, existing from the Greek Dark Ages of the 12th–9th centuries BC to the end of classical antiquity (), that comprised a loose collection of culturally and linguistically r ...
, education in a gymn school was considered essential for participation in Greek
culture Culture ( ) is a concept that encompasses the social behavior, institutions, and Social norm, norms found in human societies, as well as the knowledge, beliefs, arts, laws, Social norm, customs, capabilities, Attitude (psychology), attitudes ...
. The value of physical education to the ancient Greeks and Romans has been historically unique. There were two forms of education in ancient Greece: formal and informal. Formal education was attained through attendance to a public school or was provided by a hired tutor. Informal education was provided by an unpaid teacher and occurred in a non-public setting. Education was an essential component of a person's identity. Formal Greek education was primarily for males and non-slaves. In some poleis, laws were passed to prohibit the education of slaves.Ed. Sienkewicz, "Daily Life and Customs," ''Ancient Greece'' (New Jersey: Salem Press, I) The Spartans also taught music and dance, but with the purpose of enhancing their maneuverability as soldiers.


Athenian systems


Classical Athens The city of Athens (, ''Athênai'' ; Modern Greek: Αθήναι, ''Athine'' ) during the classical period of ancient Greece (480–323 BC) was the major urban centre of the notable '' polis'' ( city-state) of the same name, located in Attica, ...
(508–322 BCE)

Elementary Education Elementary education had a long history in Athens as
Aristophanes Aristophanes (; ; ) was an Ancient Greece, Ancient Greek Ancient Greek comedy, comic playwright from Classical Athens, Athens. He wrote in total forty plays, of which eleven survive virtually complete today. The majority of his surviving play ...
called it the ''arkhaia paideia'' (literally ancient education). But it was only fully developed in the early fifth century BC and attained its recognisable form. In its developed form, the old education consists of three divisions, '' gymnastikē'' or physical education, '' mousikē'' or music, and ''grammata'' or letters. The boys would attend the classes concurrently and there were separate teachers for each of the disciplines. Although it is similar to modern day elementary level study, this traditional education of the Athenian boys was neither
mandatory Mandate most often refers to: * League of Nations mandates, quasi-colonial territories established under Article 22 of the Covenant of the League of Nations, 28 June 1919 * Mandate (politics), the power granted by an electorate Mandate may also r ...
nor free. The education came at a price and it was up to the fathers’ decision of what and how long the education would be. While the elementary education normally ended when the boys reached their
adolescence Adolescence () is a transitional stage of human Developmental biology, physical and psychological Human development (biology), development that generally occurs during the period from puberty to adulthood (typically corresponding to the age o ...
at around 14 to 15 years old,Joyal, MacDougall, and Yardley, ''Greek and Roman Education'', 59. children from wealthier families would start earlier and end later. Physical education Among the three divisions, the physical education held the prestigious place. It was not because Athens needed her citizens to become competent warriors through physical training. Another institution, the '' ephebeia'' would deal with military training. There were two purposes of the sports education. One was to prepare the young boys for local and Panhellenic sports games.Marrou, ''A History of Education in Antiquity'', 69. The other purpose was to cultivate a strong and beautiful body which was essential to Greek culture. The teacher of the physical education was called a '' paidotribēs''. The ''paidotribēs'' was often a professional athlete himself. A main part of the training was the fighting arts, wrestling, boxing and ''
pankration Pankration (; ) was an unarmed combat sport introduced into the Greek Olympic Games in 648 BC. The athletes used boxing and wrestling techniques but also others, such as kicking, holds, joint locks, and chokes on the ground, making it s ...
''.Pritchard, “Athens,” 112. Another important component of the training was the athletic sports, racing, discus and javelin throwing and long jump. The ''paidotribēs'' supervised and instructed the training in a privately owned '' palaistra''. The famous Athenian public sports centre '' gymnasium'' was for the adult citizens. Little was known about how much the ''paidotribēs'' would actually charge. It could be very high as Athenaeus mentioned that a course could cost a '' mina''. And a ''mina'' could afford the living of a four-people family in Athens for up to three months. Students would write using a
stylus A stylus is a writing utensil or tool for scribing or marking into softer materials. Different styluses were used to write in cuneiform by pressing into wet clay, and to scribe or carve into a wax tablet. Very hard styluses are also used to En ...
, with which they would etch onto a
wax tablet A wax tablet is a tablet (disambiguation), tablet made of wood and covered with a layer of wax, often linked loosely to a cover tablet, as a "double-leaved" diptych. It was used as a reusable and portable writing surface in classical antiquity, ...
. When children were ready to begin reading whole works, they would often be given poetry to memorize and recite.
Mythologies Myth is a genre of folklore consisting primarily of narratives that play a fundamental role in a society. For scholars, this is very different from the vernacular usage of the term "myth" that refers to a belief that is not true. Instead, the ...
such as those of
Hesiod Hesiod ( or ; ''Hēsíodos''; ) was an ancient Greece, Greek poet generally thought to have been active between 750 and 650 BC, around the same time as Homer.M. L. West, ''Hesiod: Theogony'', Oxford University Press (1966), p. 40.Jasper Gr ...
and
Homer Homer (; , ; possibly born ) was an Ancient Greece, Ancient Greek poet who is credited as the author of the ''Iliad'' and the ''Odyssey'', two epic poems that are foundational works of ancient Greek literature. Despite doubts about his autho ...
were also highly regarded by Athenians, and their works were often incorporated into lesson plans. Old Education lacked heavy structure and only featured schooling up to the elementary level. Once a child reached adolescence his formal education ended. Therefore, a large part of this education was informal and relied on simple human experience. Music education A ''kitharistēs'' (literally a player of the ''
kithara The kithara (), Latinized as cithara, was an ancient Greek musical instrument in the yoke lutes family. It was a seven-stringed professional version of the lyre, which was regarded as a rustic, or folk instrument, appropriate for teaching mu ...
'', a stringed instrument like a lyre) was responsible for the music education. He would teach the students to play the ''kithara'', to sing and compose lyric songs and to dance. The education of music was an essential part of the old education.
Plato Plato ( ; Greek language, Greek: , ; born  BC, died 348/347 BC) was an ancient Greek philosopher of the Classical Greece, Classical period who is considered a foundational thinker in Western philosophy and an innovator of the writte ...
asserted its parity with the sports. He stated that “gymnastics for the body and music for the soul.” By this, Plato meant the moral function of music and poetry.
Aristophanes Aristophanes (; ; ) was an Ancient Greece, Ancient Greek Ancient Greek comedy, comic playwright from Classical Athens, Athens. He wrote in total forty plays, of which eleven survive virtually complete today. The majority of his surviving play ...
also emphasised the importance of musical education, stating that the boys would go to the music class “even if the snow is falling as thick as flour.” Given this importance, if one cannot play the
lyre The lyre () (from Greek λύρα and Latin ''lyra)'' is a string instrument, stringed musical instrument that is classified by Hornbostel–Sachs as a member of the History of lute-family instruments, lute family of instruments. In organology, a ...
and sing in a choir, he was indeed uneducated at all. Accordingly, since the education was heavily charged, ignorance in music was also a symbol of lower socio-economical status. Letter education In order to take part in trade and politics, the demand of skills in reading and writing arose to become the third discipline of the old education. Hence, through the practical perspective, education in literacy was the most important among the three disciplines. If the father is not wealthy enough to send his son to attend all three classes, he will send him to a ''grammatistēs'', a letter teacher. The Athenian boys would study the following subjects at a ''grammatistēs'', reading and writing, literature, and arithmetic. The boys would firstly engage in memorising the
Greek letters The Greek alphabet has been used to write the Greek language since the late 9th or early 8th century BC. It was derived from the earlier Phoenician alphabet, and is the earliest known alphabetic script to systematically write vowels as we ...
. In the initial stages, they were required to recognize letters in short syllables. While they were familiarising with the alphabets, they started to write as well. Under the assistance of the ''grammatistēs'', students would write with a
stylus A stylus is a writing utensil or tool for scribing or marking into softer materials. Different styluses were used to write in cuneiform by pressing into wet clay, and to scribe or carve into a wax tablet. Very hard styluses are also used to En ...
on a
wax tablet A wax tablet is a tablet (disambiguation), tablet made of wood and covered with a layer of wax, often linked loosely to a cover tablet, as a "double-leaved" diptych. It was used as a reusable and portable writing surface in classical antiquity, ...
as shown in the paintings on the Douris’ Cup. There is also a detailed written description of the process in Plato’s ''Protagoras'':
...just as writing-masters first draw letters in faint outline with the pen for their less ad- vanced pupils, and then give them the copy-book and make them write according to the guidance of their lines,...
After the boys got some progress in the letters, they would proceed to the reading of the poets. Reciting poetry was very important to the adulthood life of the Athenians, especially those of Homer’s. Familiarity of Homer’s epic was the permit to the banquets for an educated Athenian man. Furthermore, this component of the syllabus served as another motivation for a poverished father sending his son to the ''grammatistēs''. To learn the stories of the legendary heros by heart was critical to the Athenian identity.


Higher education

The emergence of higher education in ancient Athens was the result of the so-called
Sophist A sophist () was a teacher in ancient Greece in the fifth and fourth centuries BCE. Sophists specialized in one or more subject areas, such as philosophy, rhetoric, music, athletics and mathematics. They taught ''arete'', "virtue" or "excellen ...
s Reform happened in the latter half of the Fifth Century BC. It was a higher form of education compared to the old education. Although Freeman and Marrou proposed a classification within this Higher Education, secondary education and tertiary education, Beck refused the proposal. Nevertheless, there was a huge expansion in the subjects student could learn,
astronomy Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...
,
philosophy Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
,
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
,
rhetoric Rhetoric is the art of persuasion. It is one of the three ancient arts of discourse ( trivium) along with grammar and logic/ dialectic. As an academic discipline within the humanities, rhetoric aims to study the techniques that speakers or w ...
, history and
grammar In linguistics, grammar is the set of rules for how a natural language is structured, as demonstrated by its speakers or writers. Grammar rules may concern the use of clauses, phrases, and words. The term may also refer to the study of such rul ...
. The sophists were professional teachers and most of them were foreigners, i.e. non-Athenians. They emerged because of the continuously growing need of higher knowledge than basic literacy and numeracy in the democratised Athens. The study normally took three to four years and the tuition fee was reasonable. For example,
Protagoras Protagoras ( ; ; )Guthrie, p. 262–263. was a pre-Socratic Greek philosopher and rhetorical theorist. He is numbered as one of the sophists by Plato. In his dialogue '' Protagoras'', Plato credits him with inventing the role of the professional ...
charged a thousand ''
drachma Drachma may refer to: * Ancient drachma, an ancient Greek currency * Modern drachma The drachma ( ) was the official currency of modern Greece from 1832 until the launch of the euro in 2001. First modern drachma The drachma was reintroduce ...
'', which would be 10 ''mina''. Despite of all the branches of studies mentioned above, rhetoric, or sometimes referred to as the “art of persuasion” was considered the most critical and fundamental parts of curriculum. This was primarily because mature skills of rhetoric bought the student a ticket to the politics.


Classical Athenian educators


= Isocrates (436–338 BC)

=
Isocrates Isocrates (; ; 436–338 BC) was an ancient Greek rhetorician, one of the ten Attic orators. Among the most influential Greek rhetoricians of his time, Isocrates made many contributions to rhetoric and education through his teaching and writte ...
was an influential classical Athenian orator. Growing up in
Athens Athens ( ) is the Capital city, capital and List of cities and towns in Greece, largest city of Greece. A significant coastal urban area in the Mediterranean, Athens is also the capital of the Attica (region), Attica region and is the southe ...
exposed Isocrates to educators such as
Socrates Socrates (; ; – 399 BC) was a Ancient Greek philosophy, Greek philosopher from Classical Athens, Athens who is credited as the founder of Western philosophy and as among the first moral philosophers of the Ethics, ethical tradition ...
and
Gorgias Gorgias ( ; ; – ) was an ancient Greek sophist, pre-Socratic philosopher, and rhetorician who was a native of Leontinoi in Sicily. Several doxographers report that he was a pupil of Empedocles, although he would only have been a few years ...
at a young age and helped him develop exceptional rhetoric. As he grew older and his understanding of education developed, Isocrates disregarded the importance of the arts and sciences, believing rhetoric was the key to virtue. Education's purpose was to produce civic efficiency and political leadership and therefore, the ability to speak well and persuade became the cornerstone of his educational theory. However, at the time there was no definite curriculum for Higher Education, with only the existence of the
sophists A sophist () was a teacher in ancient Greece in the fifth and fourth centuries BCE. Sophists specialized in one or more subject areas, such as philosophy, rhetoric, music, athletics and mathematics. They taught ''arete'', "virtue" or "excellen ...
who were constantly traveling. In response, Isocrates founded his school of Rhetoric around 393 BCE. The school was in contrast to Plato's Academy (c. 387 BCE) which was largely based on science, philosophy, and dialectic.


=Plato (428–348 BC)

=
Plato Plato ( ; Greek language, Greek: , ; born  BC, died 348/347 BC) was an ancient Greek philosopher of the Classical Greece, Classical period who is considered a foundational thinker in Western philosophy and an innovator of the writte ...
was a philosopher in classical Athens who studied under
Socrates Socrates (; ; – 399 BC) was a Ancient Greek philosophy, Greek philosopher from Classical Athens, Athens who is credited as the founder of Western philosophy and as among the first moral philosophers of the Ethics, ethical tradition ...
, ultimately becoming one of his most famed students. Following Socrates' execution, Plato left Athens in anger, rejecting politics as a career and traveling to Italy and Sicily. He returned ten years later to establish his school, the
Academy An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of tertiary education. The name traces back to Plato's school of philosophy, founded approximately 386 BC at Akademia, a sanctuary of Athena, the go ...
(c. 387 BCE) – named after the Greek hero
Akademos Academus (; ), also Hecademus (), was an Ancient Athens, Attic hero cult, hero in Greek mythology. The site of Academus, either a Grove (nature), grove or a park, which became known as ''Akademeia'', lies on the Cephissus (Athenian plain), Cephissu ...
. Plato perceived education as a method to produce citizens who could operate as members of the civic community in Athens. In one sense, Plato believed Athenians could obtain education through the experiences of being a community member, but he also understood the importance of deliberate training, or Higher Education, in the development of
civic virtue Civic virtue refers to the set of habits, Value (ethics), values, and Attitude (psychology), attitudes that promote the general welfare and the effective functioning of a society. Closely linked to the concept of citizenship, civic virtue () repr ...
. Thus, his reasoning behind founding the academy – what is often credited as the first University. It is at this school where Plato discussed much of his educational program, which he outlined in his best-known work – the ''
Republic A republic, based on the Latin phrase ''res publica'' ('public affair' or 'people's affair'), is a State (polity), state in which Power (social and political), political power rests with the public (people), typically through their Representat ...
.'' In his writing, Plato describes the rigorous process one must go through in order to attain true virtue and understand reality for what it actually is. The education required of such achievement, according to Plato, included an elementary education in music, poetry, and physical training, two to three years of mandatory military training, ten years of mathematical science, five years of dialectic training, and fifteen years of practical political training. The few individuals equipped to reach such a level would become philosopher-kings, the leaders of Plato's ideal city.


= Aristotle (384–322 BC)

=
Aristotle Aristotle (; 384–322 BC) was an Ancient Greek philosophy, Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, a ...
was a classical Greek philosopher. While born in Stagira, Chalkidice, Aristotle joined Plato's Academy in Athens during his late teenage years and remained there until the age of thirty-seven, withdrawing following Plato's death. His departure from the academy also signalled his departure from Athens. Aristotle left to join Hermeias, a former student at the academy, who had become the ruler of Atarneus and
Assos Assos (; , ) was an Ancient Greece, ancient Greek city near today's Behramkale () or Behram for short, which most people still call by its ancient name of Assos. It is located on the Aegean Sea, Aegean coast in the Ayvacık, Çanakkale, Ayvac ...
in the north-western coast of
Anatolia Anatolia (), also known as Asia Minor, is a peninsula in West Asia that makes up the majority of the land area of Turkey. It is the westernmost protrusion of Asia and is geographically bounded by the Mediterranean Sea to the south, the Aegean ...
(present-day
Turkey Turkey, officially the Republic of Türkiye, is a country mainly located in Anatolia in West Asia, with a relatively small part called East Thrace in Southeast Europe. It borders the Black Sea to the north; Georgia (country), Georgia, Armen ...
). He remained in Anatolia until, in 342 BCE, he received an invitation from King Philip of Macedon to become the educator of his thirteen-year-old son
Alexander Alexander () is a male name of Greek origin. The most prominent bearer of the name is Alexander the Great, the king of the Ancient Greek kingdom of Macedonia who created one of the largest empires in ancient history. Variants listed here ar ...
. Aristotle accepted the invitation and moved to
Pella Pella () is an ancient city located in Central Macedonia, Greece. It served as the capital of the Ancient Greece, ancient Greek kingdom of Macedonia (ancient kingdom), Macedon. Currently, it is located 1 km outside the modern town of Pella ...
to begin his work with the boy who would soon become known as Alexander the Great. When Aristotle moved back to Athens in 352 BCE, Alexander helped finance Aristotle's school – the
Lyceum The lyceum is a category of educational institution defined within the education system of many countries, mainly in Europe. The definition varies among countries; usually it is a type of secondary school. Basic science and some introduction to ...
. A significant part of the Lyceum was research. The school had a systematic approach to the collection of information. Aristotle believed dialectical relationships among students performing research could impede the pursuit of truth. Thus, much of the school's focus was on research done empirically.


Spartan system

Unlike Athens, the
Sparta Sparta was a prominent city-state in Laconia in ancient Greece. In antiquity, the city-state was known as Lacedaemon (), while the name Sparta referred to its main settlement in the Evrotas Valley, valley of Evrotas (river), Evrotas rive ...
n education is largely state-organised. The Spartan society desired that all male citizens become successful soldiers with the stamina and skills to defend their polis as members of a Spartan phalanx. It was a rumored by
Plutarch Plutarch (; , ''Ploútarchos'', ; – 120s) was a Greek Middle Platonist philosopher, historian, biographer, essayist, and priest at the Temple of Apollo (Delphi), Temple of Apollo in Delphi. He is known primarily for his ''Parallel Lives'', ...
, a Greek historian, that Sparta killed weak children.Ed. Sienkewicz, "Education and Training," ''Ancient Greece'' (New Jersey: Salem Press, Inc. 2007), 344. After examination, the council would either rule that the child was fit to live, or would reject the child, condemning him to death by abandonment and exposure.


Agoge

Military dominance was of extreme importance to the Spartans of Ancient Greece. In response, the Spartans structured their educational system as an extreme form of military boot camp, which they referred to as ''
agoge The ( in Attic Greek, or , in Doric Greek) was the training program prerequisite for Spartiate (citizen) status. Spartiate-class boys entered it at age seven, and would stop being a student of the agoge at age 21. It was considered violent by ...
''.Adkins and Adkins, ''Handbook to Life in Ancient Greece'' (New York: Facts On File, Inc., 2005), 104. The pursuit of intellectual knowledge was seen as trivial, and thus academic learning, such as reading and writing, was kept to a minimum. A Spartan boy's life was devoted almost entirely to his school, and that school had but one purpose: to produce an almost indestructible Spartan ''phalanx''. Formal education for a Spartan male began at about the age of seven when the state removed the boy from the custody of his parents and sent him to live in a barracks with many other boys his age. For all intents and purposes, the barracks was his new home, and the other males living in the barracks his family. For the next five years, until about the age of twelve, the boys would eat, sleep and train within their barracks unit and receive instruction from an adult male citizen who had completed all of his military training and experienced battle. The instructor stressed discipline and exercise and saw to it that his students received little food and minimal clothing in an effort to force the boys to learn how to forage, steal and endure extreme hunger, all of which would be necessary skills in the course of a war. Those boys who survived the first stage of training entered into a secondary stage in which punishments became harsher and physical training and participation in sports almost non-stop in order to build up strength and endurance. During this stage, which lasted until the males were about eighteen years old, fighting within the unit was encouraged, mock battles were performed, acts of courage praised, and signs of cowardice and disobedience severely punished.Adkins and Adkins, ''Handbook'', 105 During the mock battles, the young men were formed into ''phalanxes'' to learn to maneuver as if they were one entity and not a group of individuals. To be more efficient and effective during maneuvers, students were also trained in dancing and music, because this would enhance their ability to move gracefully as a unit. Toward the end of this phase of the ''agoge'', the trainees were expected to hunt down and kill a
Helot The helots (; , ''heílotes'') were a subjugated population that constituted a majority of the population of Laconia and Messenia – the territories ruled by Sparta. There has been controversy since antiquity as to their exact characteristics ...
, a Spartan slave. If caught, the student would be convicted and disciplined-not for committing murder, but for his inability to complete the murder without being discovered.


Ephebe

The students would graduate from the ''agoge'' at the age of eighteen and receive the title of '' ephebes''. Upon becoming an ''ephebe'', the male would pledge strict and complete allegiance to Sparta and would join a private organization to continue training in which he would compete in gymnastics, hunting and performance with planned battles using real weapons. After two years, at the age of twenty, this training was finished and the now-grown men were officially regarded as Spartan soldiers.


Education of Spartan women

Spartan women, unlike their Athenian counterparts, received a formal education that was supervised and controlled by the state. Much of the public schooling received by the Spartan women revolved around physical education. Until about the age of eighteen women were taught to run, wrestle, throw a discus, and also to throw javelins. The skills of the young women were tested regularly in competitions such as the annual footrace at the Heraea of Elis, In addition to physical education, the young girls also were taught to sing, dance, and play instruments often by traveling poets such as
Alcman Alcman (; ''Alkmán''; fl. 7th century BC) was an Ancient Greek choral lyric poet from Sparta. He is the earliest representative of the Alexandrian canon of the Nine Lyric Poets. He wrote six books of choral poetry, most of which is now lost; h ...
or by the elderly women in the
polis Polis (: poleis) means 'city' in Ancient Greek. The ancient word ''polis'' had socio-political connotations not possessed by modern usage. For example, Modern Greek πόλη (polē) is located within a (''khôra''), "country", which is a πατ ...
. The Spartan educational system for females was very strict because its purpose was to train future mothers of soldiers in order to maintain the strength of Sparta's phalanxes, which were essential to Spartan defense and culture.Pomeroy, ''Spartan Women'', 4.


Other Greek educators


Pythagoras (570–490 BCE)

Pythagoras Pythagoras of Samos (;  BC) 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 P ...
was one of many Greek philosophers. He lived his life on the island Samos and is known for his contributions to mathematics. Pythagoras taught philosophy of life, religion, and mathematics in his own school in Kroton, which was a Greek colony. Pythagoras' school is linked to the
Pythagorean theorem In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite t ...
, which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The students of Pythagoras were known as
Pythagoreans 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 Greece, ancient Greek co ...
.


Pythagoreans

Pythagoreans followed a very specific way of life. They were famous for friendship, unselfishness, and honesty. The Pythagoreans also believed in a life after the current which drove them to be people who have no attachment to personal possessions everything was communal; they were also vegetarians. The people in a Pythagorean society were known as ''mathematikoi'' (μαθηματικοί, Greek for "learners").


Teachings

There are two forms that Pythagoras taught,
Exoteric {{Short pages monitor