The Minaean people were the inhabitants of the kingdom of Ma'in ( Minaean : 𐩣𐩲𐩬 Maʿīn ; modern Arabic معين Maʿīn ) in modern-day Yemen , dating back to the 6th century BCE. It was located along the strip of desert called Ṣayhad by medieval Arab geographers , which is now known as Ramlat al-Sab'atayn.
70-667: The Minaean people were one of four ancient Yemeni groups mentioned by Eratosthenes . The others were the Sabaeans , Ḥaḑramites and Qatabānians . Each of these had regional kingdoms in ancient Yemen, with the Minaeans in the north-west (in Wādī al-Jawf ), the Sabaeans to the south-east of them, the Qatabānians to the south-east of the Sabaeans, and the Ḥaḑramites further east still. Nothing
140-400: A specialist —is used to describe a person with a general approach to knowledge. The term universal genius or versatile genius is also used, with Leonardo da Vinci as the prime example again. The term is used especially for people who made lasting contributions in at least one of the fields in which they were actively involved and when they took a universality of approach. When a person
210-479: A comprehensive historical overview of the ascension and decline of the polymath as, what he calls, an "intellectual species". He observes that in ancient and medieval times, scholars did not have to specialize. However, from the 17th century on, the rapid rise of new knowledge in the Western world—both from the systematic investigation of the natural world and from the flow of information coming from other parts of
280-509: A during 360 BCE, while Kenneth A. Kitchen dates it to c. 190–175 BCE) Minaean rule reached as far as Dedan . The extent of their long-distance trade is also shown by the presence of Minaean merchants in the Aegean . With the expansion of Ma’īn as far as the Red Sea they were also able to carry out sea trade. At the end of the 2nd century BCE Ma’īn found itself under the rule of Qatabān, but after
350-452: A given prime are generated starting from that prime, as a sequence of numbers with the same difference, equal to that prime, between consecutive numbers. This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime. Eratosthenes was one of the most pre-eminent scholarly figures of his time, and produced works covering a vast area of knowledge before and during his time at
420-580: A mix of occupations or of intellectual interests, Ahmed urges a breaking of the "thinker"/"doer" dichotomy and the art/science dichotomy. He argues that an orientation towards action and towards thinking support each other, and that human beings flourish by pursuing a diversity of experiences as well as a diversity of knowledge. He observes that successful people in many fields have cited hobbies and other "peripheral" activities as supplying skills or insights that helped them succeed. Ahmed examines evidence suggesting that developing multiple talents and perspectives
490-436: A new model of education that better promotes creativity and innovation: "we must focus education on principles, methods, and skills that will serve them [students] in learning and creating across many disciplines, multiple careers, and succeeding life stages". Peter Burke , Professor Emeritus of Cultural History and Fellow of Emmanuel College at Cambridge, discussed the theme of polymathy in some of his works. He has presented
560-579: A number of major caravan stations along the trading route, including Yathrib (Medina) and Gaza ; there is also a brief account of how war between the Egyptians and Syrians interrupted the trade for a while. The Minaeans had a different social structure to the rest of the Old South Arabians. Their king was the only one involved in lawmaking, along with a council of elders, who in Ma'īn represented
630-423: A single issue. Ahmed cites biologist E. O. Wilson 's view that reality is approached not by a single academic discipline but via a consilience between them. One argument for studying multiple approaches is that it leads to open-mindedness . Within any one perspective, a question may seem to have a straightforward, settled answer. Someone aware of different, contrasting answers will be more open-minded and aware of
700-408: A society, company, community, guild, corporation , etc". At this time, universities did not specialize in specific areas, but rather trained students in a broad array of science, philosophy, and theology. This universal education gave them a grounding from which they could continue into apprenticeship toward becoming a master of a specific field. When someone is called a "Renaissance man" today, it
770-463: A typology of polymathy, ranging from the ubiquitous mini-c polymathy to the eminent but rare Big-C polymathy, as well as a model with some requirements for a person (polymath or not) to be able to reach the highest levels of creative accomplishment. They account for three general requirements—intelligence, motivation to be creative, and an environment that allows creative expression—that are needed for any attempt at creativity to succeed. Then, depending on
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#1732765987432840-437: Is an individual whose knowledge spans many different subjects, known to draw on complex bodies of knowledge to solve specific problems. Embodying a basic tenet of Renaissance humanism that humans are limitless in their capacity for development, the concept led to the notion that people should embrace all knowledge and develop their capacities as fully as possible. This is expressed in the term Renaissance man , often applied to
910-418: Is considered the principal responsible for rekindling interest in polymathy in the scientific community. His works emphasize the contrast between the polymath and two other types: the specialist and the dilettante. The specialist demonstrates depth but lacks breadth of knowledge. The dilettante demonstrates superficial breadth but tends to acquire skills merely "for their own sake without regard to understanding
980-411: Is contrasted with the idea of narrowness, specialization, and the restriction of one's expertise to a limited domain. The possession of comprehensive knowledge at very disparate areas is a hallmark of the greatest polymaths. Depth refers to the vertical accumulation of knowledge and the degree of elaboration or sophistication of one's sets of one's conceptual network. Like Robert Root-Bernstein, Araki uses
1050-475: Is helpful for success in a highly specialised field. He cites a study of Nobel Prize-winning scientists which found them 25 times more likely to sing, dance, or act than average scientists. Another study found that children scored higher in IQ tests after having drum lessons, and he uses such research to argue that diversity of domains can enhance a person's general intelligence. Ahmed cites many historical claims for
1120-464: Is known about the early history of this north Yemeni kingdom. The region later to be known as Ma’īn first enters history at the time of the Sabaean mukarrib Karib’il Watar I , and at that time consisted of a number of small city-states, which were under very strong Sabaean influence. The inscriptions from the city-state of Ḥaram , which date from this time, exhibit Minaean linguistic features, alongside
1190-455: Is known in mathematics as the Sieve of Eratosthenes . In mathematics, the sieve of Eratosthenes (Greek: κόσκινον Ἐρατοσθένους), one of a number of prime number sieves , is a simple, ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite, i.e. , not prime, the multiples of each prime, starting with the multiples of 2. The multiples of
1260-519: Is meant that rather than simply having broad interests or superficial knowledge in several fields, the individual possesses a more profound knowledge and a proficiency, or even an expertise, in at least some of those fields. Some dictionaries use the term "Renaissance man" to describe someone with many interests or talents, while others give a meaning restricted to the Renaissance and more closely related to Renaissance ideals. Robert Root-Bernstein
1330-516: Is presented in a 2018 article with two main objectives: The model, which was designed to reflect a structural model, has five major components: Regarding the definition of the term polymathy, the researcher, through an analysis of the extant literature, concluded that although there are a multitude of perspectives on polymathy, most of them ascertain that polymathy entails three core elements: breadth, depth and integration. Breadth refers to comprehensiveness, extension and diversity of knowledge. It
1400-581: The Diatribae upon the first part of the late History of Tithes of Richard Montagu in 1621. Use in English of the similar term polyhistor dates from the late 16th century. The term "Renaissance man" was first recorded in written English in the early 20th century. It is used to refer to great thinkers living before, during, or after the Renaissance . Leonardo da Vinci has often been described as
1470-525: The Library of Pergamum . Eratosthenes created a whole section devoted to the examination of Homer , and acquired original works of great tragic dramas of Aeschylus , Sophocles and Euripides . Eratosthenes made several important contributions to mathematics and science , and was a friend of Archimedes . Around 255 BC, he invented the armillary sphere . In On the Circular Motions of
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#17327659874321540-583: The Trojan War . This work was highly esteemed for its accuracy. George Syncellus was later able to preserve from Chronographies a list of 38 kings of the Egyptian Thebes . Eratosthenes also wrote Olympic Victors , a chronology of the winners of the Olympic Games . It is not known when he wrote his works, but they highlighted his abilities. These works and his great poetic abilities led
1610-504: The gifted people of that age who sought to develop their abilities in all areas of accomplishment: intellectual, artistic, social, physical, and spiritual. In Western Europe, the first work to use the term polymathy in its title ( De Polymathia tractatio: integri operis de studiis veterum ) was published in 1603 by Johann von Wowern , a Hamburg philosopher. Von Wowern defined polymathy as "knowledge of various matters, drawn from all kinds of studies ... ranging freely through all
1680-624: The Celestial Bodies , Cleomedes credited him with having calculated the Earth's circumference around 240 BC, with high accuracy. Eratosthenes believed there was both good and bad in every nation and criticized Aristotle for arguing that humanity was divided into Greeks and barbarians , as well as for arguing that the Greeks should keep themselves racially pure. As he aged, he contracted ophthalmia , becoming blind around 195 BC. Losing
1750-528: The Earth , which he did by using the extensive survey results he could access in his role at the Library. His calculation was remarkably accurate (his error margin turned out to be less than 1%). He was also the first person to calculate Earth's axial tilt , which similarly proved to have remarkable accuracy. He created the first global projection of the world, incorporating parallels and meridians based on
1820-416: The Earth is the distance between the two cities divided by the difference in shadow angles expressed as a fraction of one turn . Eratosthenes now continued from his knowledge about the Earth. Using his discoveries and knowledge of its size and shape, he began to sketch it. In the Library of Alexandria he had access to various travel books, which contained various items of information and representations of
1890-601: The Library. He wrote on many topics – geography, mathematics, philosophy, chronology, literary criticism, grammar, poetry, and even old comedies. There are no documents left of his work after the destruction of the Library of Alexandria . Polymath A polymath ( Greek : πολυμαθής , romanized : polymathēs , lit. 'having learned much'; Latin : homo universalis , lit. 'universal human') or polyhistor ( Greek : πολυΐστωρ , romanized : polyīstor , lit. 'well-learned')
1960-484: The ability to read and to observe nature plagued and depressed him, leading him to voluntarily starve himself to death. He died in 194 BC at the age of 82 in Alexandria. The measurement of Earth's circumference is the most famous among the results obtained by Eratosthenes, who estimated that the meridian has a length of 252,000 stadia (39,060 to 40,320 kilometres (24,270 to 25,050 mi)), with an error on
2030-431: The advantages of polymathy. Some of these are about general intellectual abilities that polymaths apply across multiple domains. For example, Aristotle wrote that full understanding of a topic requires, in addition to subject knowledge, a general critical thinking ability that can assess how that knowledge was arrived at. Another advantage of a polymathic mindset is in the application of multiple approaches to understanding
2100-549: The aesthetic and structural/scientific connections between mathematics, arts and the sciences. In 2009, Sriraman published a paper reporting a 3-year study with 120 pre-service mathematics teachers and derived several implications for mathematics pre-service education as well as interdisciplinary education. He utilized a hermeneutic-phenomenological approach to recreate the emotions, voices and struggles of students as they tried to unravel Russell's paradox presented in its linguistic form. They found that those more engaged in solving
2170-522: The archetype of the Renaissance man, a man of "unquenchable curiosity" and "feverishly inventive imagination". Many notable polymaths lived during the Renaissance period, a cultural movement that spanned roughly the 14th through to the 17th century that began in Italy in the Late Middle Ages and later spread to the rest of Europe. These polymaths had a rounded approach to education that reflected
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2240-452: The available geographic knowledge of his era. Eratosthenes was the founder of scientific chronology ; he used Egyptian and Persian records to estimate the dates of the main events of the Trojan War , dating the sack of Troy to 1183 BC. In number theory , he introduced the sieve of Eratosthenes , an efficient method of identifying prime numbers and composite numbers. He was a figure of influence in many fields who yearned to understand
2310-744: The basis of creative giftedness ask not 'who is creative?' but 'what is the basis of creative thinking?' From the polymathy perspective, giftedness is the ability to combine disparate (or even apparently contradictory) ideas, sets of problems, skills, talents, and knowledge in novel and useful ways. Polymathy is therefore the main source of any individual's creative potential". In "Life Stages of Creativity", Robert and Michèle Root-Bernstein suggest six typologies of creative life stages. These typologies are based on real creative production records first published by Root-Bernstein, Bernstein, and Garnier (1993). Finally, his studies suggest that understanding polymathy and learning from polymathic exemplars can help structure
2380-550: The big picture—and for analysis. He says: "It takes a polymath to 'mind the gap' and draw attention to the knowledges that may otherwise disappear into the spaces between disciplines, as they are currently defined and organized". Bharath Sriraman , of the University of Montana, also investigated the role of polymathy in education. He poses that an ideal education should nurture talent in the classroom and enable individuals to pursue multiple fields of research and appreciate both
2450-404: The broader applications or implications and without integrating it". Conversely, the polymath is a person with a level of expertise that is able to "put a significant amount of time and effort into their avocations and find ways to use their multiple interests to inform their vocations". A key point in the work of Root-Bernstein and colleagues is the argument in favor of the universality of
2520-423: The children of Ptolemy, including Ptolemy IV Philopator who became the fourth Ptolemaic pharaoh. He expanded the library's holdings: in Alexandria all books had to be surrendered for duplication. It was said that these were copied so accurately that it was impossible to tell if the library had returned the original or the copy. He sought to maintain the reputation of the Library of Alexandria against competition from
2590-664: The collapse of the Qatabānian Empire a few centuries later, the Minaean kingdom fell too. The area was under Sabaean rule at the latest by the time the Roman general Aelius Gallus waged a military campaign in the area in 25/24 BCE. The Minaeans, like some other Arabian and Yemenite kingdoms of the same period, were involved in the extremely lucrative spice trade , especially frankincense and myrrh . Inscriptions found in Qanāwu mention
2660-527: The complexities of the entire world. His devotees nicknamed him Pentathlos after the Olympians who were well rounded competitors, for he had proven himself to be knowledgeable in every area of learning. Yet, according to an entry in the Suda (a 10th-century encyclopedia), some critics scorned him, calling him Number 2 because he always came in second in all his endeavours. The son of Aglaos, Eratosthenes
2730-447: The concept of dilettancy as a contrast to the idea of profound learning that polymathy entails. Integration, although not explicit in most definitions of polymathy, is also a core component of polymathy according to the author. Integration involves the capacity of connecting, articulating, concatenating or synthesizing different conceptual networks, which in non-polymathic persons might be segregated. In addition, integration can happen at
2800-499: The creative process. That is, although creative products, such as a painting, a mathematical model or a poem, can be domain-specific, at the level of the creative process, the mental tools that lead to the generation of creative ideas are the same, be it in the arts or science. These mental tools are sometimes called intuitive tools of thinking. It is therefore not surprising that many of the most innovative scientists have serious hobbies or interests in artistic activities, and that some of
2870-555: The domain of choice, more specific abilities will be required. The more that one's abilities and interests match the requirements of a domain, the better. While some will develop their specific skills and motivations for specific domains, polymathic people will display intrinsic motivation (and the ability) to pursue a variety of subject matters across different domains. Regarding the interplay of polymathy and education, they suggest that rather than asking whether every student has multicreative potential, educators might more actively nurture
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2940-476: The fields of the disciplines, as far as the human mind, with unwearied industry, is able to pursue them". Von Wowern lists erudition, literature, philology , philomathy , and polyhistory as synonyms. The earliest recorded use of the term in the English language is from 1624, in the second edition of The Anatomy of Melancholy by Robert Burton ; the form polymathist is slightly older, first appearing in
3010-427: The following table presents the reconstruction of Kenneth A. Kitchen. It should however be pointed out that the reconstruction of Hermann von Wissmann deviates from this considerably, and is just as probable. Eratosthenes Eratosthenes of Cyrene ( / ɛr ə ˈ t ɒ s θ ə n iː z / ; ‹See Tfd› Greek : Ἐρατοσθένης [eratostʰénɛːs] ; c. 276 BC – c. 195/194 BC )
3080-597: The founder of the Ptolemaic Kingdom . Under Ptolemaic rule the economy prospered, based largely on the export of horses and silphium , a plant used for rich seasoning and medicine. Cyrene became a place of cultivation, where knowledge blossomed. Like any young Greek at the time, Eratosthenes would have studied in the local gymnasium , where he would have learned physical skills and social discourse as well as reading, writing, arithmetic, poetry, and music. Eratosthenes went to Athens to further his studies. There he
3150-490: The ideals of the humanists of the time. A gentleman or courtier of that era was expected to speak several languages, play a musical instrument , write poetry , and so on; thus fulfilling the Renaissance ideal . The idea of a universal education was essential to achieving polymath ability, hence the word university was used to describe a seat of learning. However, the original Latin word universitas refers in general to "a number of persons associated into one body,
3220-702: The individual and wider society. It suggests that the complex problems of the 21st century need the versatility, creativity, and broad perspectives characteristic of polymaths. For individuals, Ahmed says, specialisation is dehumanising and stifles their full range of expression whereas polymathy "is a powerful means to social and intellectual emancipation" which enables a more fulfilling life. In terms of social progress, he argues that answers to specific problems often come from combining knowledge and skills from multiple areas, and that many important problems are multi-dimensional in nature and cannot be fully understood through one specialism. Rather than interpreting polymathy as
3290-445: The intellectual climate, it has since then been more common to find "passive polymaths", who consume knowledge in various domains but make their reputation in one single discipline, than "proper polymaths", who—through a feat of "intellectual heroism"—manage to make serious contributions to several disciplines. However, Burke warns that in the age of specialization, polymathic people are more necessary than ever, both for synthesis—to paint
3360-418: The king Ptolemy III Euergetes to seek to place him as a librarian at the Library of Alexandria in the year 245 BC. Eratosthenes, then thirty years old, accepted Ptolemy's invitation and traveled to Alexandria, where he lived for the rest of his life. Within about fifty years he became Chief Librarian, a position that the poet Apollonius Rhodius had previously held. As head of the library Eratosthenes tutored
3430-728: The limitations of their own knowledge. The importance of recognising these limitations is a theme that Ahmed finds in many thinkers, including Confucius , Ali ibn Abi Talib , and Nicolas of Cusa . He calls it "the essential mark of the polymath." A further argument for multiple approaches is that a polymath does not see diverse approaches as diverse, because they see connections where other people see differences. For example da Vinci advanced multiple fields by applying mathematical principles to each. Aside from Renaissance man , similar terms in use are homo universalis ( Latin ) and uomo universale ( Italian ), which translate to 'universal man'. The related term generalist —contrasted with
3500-514: The most innovative artists have an interest or hobbies in the sciences. Root-Bernstein and colleagues' research is an important counterpoint to the claim by some psychologists that creativity is a domain-specific phenomenon. Through their research, Root-Bernstein and colleagues conclude that there are certain comprehensive thinking skills and tools that cross the barrier of different domains and can foster creative thinking: "[creativity researchers] who discuss integrating ideas from diverse fields as
3570-547: The multicreative potential of their students. As an example, the authors cite that teachers should encourage students to make connections across disciplines, use different forms of media to express their reasoning/understanding (e.g., drawings, movies, and other forms of visual media). In his 2018 book The Polymath , British author Waqas Ahmed defines polymaths as those who have made significant contributions to at least three different fields. Rather than seeing polymaths as exceptionally gifted, he argues that every human being has
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#17327659874323640-549: The name of the discipline geography . He placed grids of overlapping lines over the surface of the Earth. He used parallels and meridians to link together every place in the world. It was now possible to estimate one's distance from remote locations with this network over the surface of the Earth. In the Geography the names of over 400 cities and their locations were shown, which had never been achieved before. However, his Geography has been lost to history, although fragments of
3710-547: The paradox also displayed more polymathic thinking traits. He concludes by suggesting that fostering polymathy in the classroom may help students change beliefs, discover structures and open new avenues for interdisciplinary pedagogy. Michael Araki is a professor at the UNSW Business School at the University of New South Wales, Australia. He sought to formalize in a general model how the development of polymathy takes place. His Developmental Model of Polymathy (DMP)
3780-430: The personality level, when the person is able to integrate their diverse activities in a synergic whole, which can also mean a psychic (motivational, emotional and cognitive) integration. Finally, the author also suggests that, via a psychoeconomic approach, polymathy can be seen as a "life project". That is, depending on a person's temperament, endowments, personality, social situation and opportunities (or lack thereof),
3850-486: The potential to become one: that people naturally have multiple interests and talents. He contrasts this polymathic nature against what he calls "the cult of specialisation". For example, education systems stifle this nature by forcing learners to specialise in narrow topics. The book argues that specialisation encouraged by the production lines of the Industrial Revolution is counter-productive both to
3920-411: The priesthood as well as families of high social class. The Minaeans were divided into groups of various sizes, led by a very high official called the kabīr , appointed once every two years, who was in charge of one or sometimes all of the trading posts. The reason for this difference in social structure is unknown. The order of succession and the dates of individual Minaean kings is extremely uncertain;
3990-594: The project of a polymathic self-formation may present itself to the person as more or less alluring and more or less feasible to be pursued. James C. Kaufman , from the Neag School of Education at the University of Connecticut, and Ronald A. Beghetto, from the same university, investigated the possibility that everyone could have the potential for polymathy as well as the issue of the domain-generality or domain-specificity of creativity. Based on their earlier four-c model of creativity, Beghetto and Kaufman proposed
4060-476: The real value between −2.4% and +0.8% (assuming a value for the stadion between 155 and 160 metres (509 and 525 ft)). Eratosthenes described his arc measurement technique, in a book entitled On the Measure of the Earth , which has not been preserved. However, a simplified version of the method has been preserved, as described by Cleomedes . The simplified method works by considering two cities along
4130-408: The same meridian and measuring both the distance between them and the difference in angles of the shadows cast by the sun on a vertical rod (a gnomon ) in each city at noon on the summer solstice . The two cities used were Alexandria and Syene (modern Aswan ), and the distance between the cities was measured by professional bematists . A geometric calculation reveals that the circumference of
4200-463: The same century ( c. 350–300 BCE). The next capital of the kingdom was Yathill (modern Baraqish ) and later Qarnāwu (near modern Ma’īn). The kingdom enjoyed its golden age in the 3rd century BCE when it was able to extend its influence all along the incense trail due to the conquest of Najrān , ‘Asīr and Ḥijāz . From the time of Waqah'il Sadiq I. (sources differ on when this golden age was, by as much as two centuries; Hermann von Wissmann has it
4270-403: The significant Sabaean impact. The Kingdom of Ma’īn emerged in the 6th century BCE, but then found itself under the rule of Saba’ . Only in about 400 BCE were the Minaeans able to ally themselves to Ḥaḑramawt and free themselves from direct Saba’ rule. In the 4th century both Ma’īn and Ḥaḑramawt were ruled by the same family, a close relationship that broke up again probably in the second half of
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#17327659874324340-547: The work can be pieced together from other great historians like Pliny , Polybius , Strabo , and Marcianus . While this work is the earliest we can trace certain ideas, words, and concepts in the historical record, earlier contributions may have been lost to history. According to Strabo, Eratosthenes argued against the Greek- Barbarian dichotomy. He says Alexander ignored his advisers by his regard for all people with law and government. Strabo says that Eratosthenes
4410-446: The world that needed to be pieced together in some organized format. In his three-volume work Geography ( ‹See Tfd› Greek : Geographika ), he described and mapped his entire known world, even dividing the Earth into five climate zones: two freezing zones around the poles, two temperate zones, and a zone encompassing the equator and the tropics. This book is the first recorded instance of many terms still in use today, including
4480-399: The world—was making it increasingly difficult for individual scholars to master as many disciplines as before. Thus, an intellectual retreat of the polymath species occurred: "from knowledge in every [academic] field to knowledge in several fields, and from making original contributions in many fields to a more passive consumption of what has been contributed by others". Given this change in
4550-459: Was a man of many perspectives and investigated the art of poetry under Callimachus . He wrote poems: one in hexameters called Hermes , illustrating the god's life history; and another in elegiacs , called Erigone , describing the suicide of the Athenian maiden Erigone (daughter of Icarius) . He wrote Chronographies , a text that scientifically depicted dates of importance, beginning with
4620-419: Was an Ancient Greek polymath : a mathematician , geographer , poet , astronomer , and music theorist . He was a man of learning, becoming the chief librarian at the Library of Alexandria . His work is comparable to what is now known as the study of geography , and he introduced some of the terminology still used today. He is best known for being the first person known to calculate the circumference of
4690-508: Was born in 276 BC in Cyrene . Now part of modern-day Libya , Cyrene had been founded by Greeks centuries earlier and became the capital of Pentapolis (North Africa) , a country of five cities: Cyrene, Arsinoe , Berenice , Ptolemias , and Apollonia . Alexander the Great conquered Cyrene in 332 BC, and following his death in 323 BC, its rule was given to one of his generals, Ptolemy I Soter ,
4760-435: Was skilled in a variety of things; he was a true polymath. His opponents nicknamed him "Number 2" because he was great at many things and tried to get his hands on every bit of information but never achieved the highest rank in anything; Strabo accounts Eratosthenes as a mathematician among geographers and a geographer among mathematicians. Eratosthenes proposed a simple algorithm for finding prime numbers . This algorithm
4830-578: Was taught Stoicism by its founder, Zeno of Citium , in philosophical lectures on living a virtuous life. He then studied under Aristo of Chios , who led a more cynical school of philosophy. He also studied under the head of the Platonic Academy , who was Arcesilaus of Pitane . His interest in Plato led him to write his first work at a scholarly level, Platonikos , inquiring into the mathematical foundation of Plato's philosophies. Eratosthenes
4900-499: Was wrong to claim that Alexander had disregarded the counsel of his advisers. Strabo argues it was Alexander's interpretation of their "real intent" in recognizing that "in some people there prevail the law-abiding and the political instinct, and the qualities associated with education and powers of speech." Eratosthenes was described by the Suda Lexicon as a Πένταθλος (Pentathlos) which can be translated as "All-Rounded", for he
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