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Topic: Nicomachus


In the News (Sat 14 Nov 09)

  
  ARISTOTLE biography
Nicomachus was a prominent physician, member of the guild of the Asclepiade, with prominent physicians allegedly ascended from Asclepius, father of Troy battlefield medics Machaon and Podaleirios.
Tradition has it that the doctor was at friendly terms with the king, which hints the high age of Nicomachus, considering that Amyntas was about 65 years old at the time of Aristotle’s birth, and a friend of the king was not likely to be too much his junior.
It is far easier to imagine that Nicomachus had done a long service to the king, and retired from it to Stagira, to which town his wife had strong links.
www.stenudd.com /myth/greek/aristotle/aristotle-03-stagira.htm   (1968 words)

  
 [No title]
Nicomachus wrote several treatises, the most famous of which was an introduction to mathematics.
Nicomachus also separated the numbers into the continuous "magnitude" and the discontinuous "multitude." This was much the same as Aristotle's concepts of magnitude and number, respectively.
He started with Nicomachus who wrote a book of arithmetic for the common man. Next was Diophantus who was one of the first to come up with a notation for squares and cubes and a few other exponents.
public.csusm.edu /public/DJBarskyWebs/330CollageSep17.html   (1643 words)

  
 Nicomachus - Wikipedia, the free encyclopedia
One of the most important mathematicians of the ancient world, he was strongly influenced by Aristotle and is best known for his works Introduction to Arithmetic (Arithmetike eisagoge) and The Manual of Harmonics in Greek.
In Introduction to Arithmetic, Nicomachus writes extensively on number, especially on the significance of prime numbers and perfect numbers and argues that arithmetic is ontologically prior to the other mathematical sciences (geometry, music, and astronomy), and is their cause.
"Nicomachus" was also the name of both Aristotle's father and his son.
en.wikipedia.org /wiki/Nicomachus   (188 words)

  
 Science-tician?  Aristotle
Aristotle was born in Stagirus, or Stagira, or Stageirus, on the Chalcidic peninsula of northern Greece.
Nicomachus was certainly living in Chalcidice when Aristotle was born and he had probably been born in that region.
We do know that Nicomachus found the conditions in Chalcidice less satisfactory than in the neighbouring state of Macedonia and he began to work there with so much success that he was soon appointed as the personal physician to Amyntas III, king of Macedonia.
www.francesfarmersrevenge.com /stuff/science/aristotle.htm   (3171 words)

  
 Straying from the Platonic Tradition: The case of Nicomachus and Euclid
Nicomachus, for example, often cited the *Timaeus* in his *Introduction to Arithmetic*.[13] But, each chose his own route, as opposed to merely echoing their "master." Euclid and Nicomachus sought the otherworldly, and this is what constitutes the the center of their deviation.
Such philosophers as Nicomachus and Euclid have a distinct purpose in writing, and their sole objective is to attain that goal.
What Euclid and Nicomachus do is present their definitions, postulates, etc. and proceed toward their goals without "softening" their writing with a connection to life, people, the apparent world.
www.vivboard.net /doc/n0069.htm   (3419 words)

  
 Oroborus Universal Roleplaying
Nicomachus is the focus and cause of all of this, using his powers and knowledge to facilitate his plan.
Nicomachus has used his arts to call up two ancient spirits which watch over it, and they can act to animate statuary or cause other diversions, as well as watch intruders and raise an alarm.
Nicomachus' objective is to reanimate the mummy in the sarcophagus, which he has learned through centuries of study is that of Aahtehuti, the earthly avatar of the god Thoth, possessed by the gods spirit.
www.fontcraft.com /oroborus/shadow.html   (3131 words)

  
 Nicomachus Summary
Before discussing Nicomachus' work in arthimetic, it is important to understand, as Carl B. Boyer explains, that the Greek term arithmetike, although derived from the word arithmos, which means number, did not refer to actual calculation, but rather denoted theoretical, speculative thinking about numbers.
Nicomachus' world view is a fascinating blend of mathematics and philosophy, incorporating the main currents of Greek scientific, idealistic, and mystical thought.
In Introduction to Arithmetic, Nicomachus writes extensively on number, especially on the significance of prime numbers and perfect numbers and argues that arithmetic is ontologically prior to the other mathematical sciences (geometry, music, and astronomy), and is their cause.
www.bookrags.com /Nicomachus   (926 words)

  
 Nicomachus   (Site not responding. Last check: 2007-10-13)
Nicomachus of Gerasa is mentioned in a small number of sources and we can date him fairly accurately.
Nicomachus wrote Introduction to Arithmetic, which was the first work to treat arithmetic as a separate topic from geometry.
Nicomachus also wrote two volumes of The Theology of Numbers, which was completely concerned with mystic properties of numbers.
www.stetson.edu /~efriedma/periodictable/html/Ni.html   (290 words)

  
 Just Intonation: Origins of Length Ratios
Nicomachus continues his numeric analysis of vibrating strings in Chapter 10, where he correctly concludes that frequency is inversely proportional to length.
In other words, when Nicomachus and Plutarch refer to unspecified quantities such as 6, 8, 9, and 12, we will assume they mean vibration numbers that are equivalent to modern frequencies, such as 6.0 cps, 8.0 cps, 9.0 cps, and cps.
Refer to Figure 24, and note that because Nicomachus identifies abstract number 9 as an arithmetic mean that represents the tone B, he interprets Plato’s division of the “octave” expressed as frequency ratio 12/6.
www.chrysalis-foundation.org /origins_of_length_ratios.htm   (5770 words)

  
 Aristotle   (Site not responding. Last check: 2007-10-13)
Aristotle was born in Stagirus, or Stagira, or Stageirus, on the Chalcidic peninsula of northern Greece.
Nicomachus was certainly living in Chalcidice when Aristotle was born and he had probably been born in that region.
We do know that Nicomachus found the conditions in Chalcidice less satisfactory than in the neighbouring state of Macedonia and he began to work there with so much success that he was soon appointed as the personal physician to Amyntas III, king of Macedonia.
idcs0100.lib.iup.edu /AncGreece/aristotle.htm   (11448 words)

  
 Malaspina Great Books - Nicomachus of Gerasa (c. 100 CE)
Nicomachus of Gethisrasa is mentioned in a small number of sources and we can date him fairly accurately from the information given.
Nicomachus wrote Arithmetike eisagoge (Introduction to Arithmetic) which was the first work to treat arithmetic as a separate topic from geometry.
Sometimes Nicomachus stated a result that is simply false and then illustrated it with an example that happens to have the properties described in the result.
www.malaspina.org /home.asp?topic=./search/details&lastpage=./search/results&ID=17   (1356 words)

  
 Nicomachus biography
Nicomachus of Gerasa is mentioned in a small number of sources and we can date him fairly accurately from the information given.
Many of the results were known by Nicomachus to be true since they appeared with proofs in Euclid, although in a geometrical formulation.
Sometimes Nicomachus stated a result which is simply false and then illustrated it with an example which happens to have the properties described in the result.
www-history.mcs.st-andrews.ac.uk /Biographies/Nicomachus.html   (1223 words)

  
 Aristotle
Aristotle son of Nicomachus of Stagira is one of the mostinfluential philosophers in history.
384 Born to Nicomachus an Asclepiad, later physician to Amyntas IIof Macedonia (the father of Philip II and the grandfather ofAlexander); Aristotle's youth was probably spent in the Macedoniancourt at Pella.
Nicomachus and his wife died while Aristotle wasyoung, and he was raised by Proxenus.
users.cnu.edu /jvcarr/AristoBio.htm   (1052 words)

  
 Simon & Schuster: Alexander: Child of a Dream (Trade Paperback) - Read an Excerpt
But when the pain grew to the point where Olympias almost fainted, Nicomachus intervened, guiding the midwife's hands and ordering Artemisia to push on the Queen's belly because she had no strength left and the baby was in distress.
Nicomachus tied the umbilical cord with linen thread, then cut it immediately with a pair of bronze scissors and cleaned the wound with wine.
Nicomachus was taking care of the Queen, who, as often happens with first-time mothers, was bleeding.
www.simonsays.com /content/book.cfm?isbn=0743434366&sid=33&agid=2   (2041 words)

  
 Special Numbers
However Nicomachus has more than number theory in mind for he goes on to show that he is thinking in moral terms in a way that might seem extraordinary to mathematicians today (see [8], or [1] for a different translation):-
Nicomachus we do know a lot more about his five assertions than the simplistic statement we have just made.
Whether the five assertions of Nicomachus were based on any more than this algorithm and the fact the there were four perfect numbers known to him 6, 28, 496 and 8128, it is impossible to say, but it does seem unlikely that anything more lies behind the unproved assertions.
digilander.libero.it /roberto20129/matematica/specialnumbers.html   (7901 words)

  
 Aristotle Biography | World of Mathematics
Aristotle was born in 384 B.C. in Stagirus, Greece.
His father Nicomachus, a doctor, was appointed as the King of Macedonia's personal physician while Aristotle was a child.
Nicomachus passed away around 374 B.C., leaving Aristotle to be raised and educated by a guardian, Proxenus of Atarneus.
www.bookrags.com /biography/aristotle-wom   (802 words)

  
 PlanetMath: Aristotle
He was the son of Nicomachus who was a medical doctor and Phaestis.[OR]
Nicomachus was the personal physical physician of the King of Macedonia.
Nicomachus taught Aristotle biology since it was customary that doctors' skills would be passed down to their children.
planetmath.org /encyclopedia/Aristotle.html   (887 words)

  
 aristotle
Aristotle was born in Stageirus, on the Chalcidic peninsula in the northern part of Greece.
Nicomachus was living in Chalcidice when Aristotle was born and was probably born in that region.
Nicomachus would have liked Aristotle to become a doctor, for the tradition included that medical skills were kept covert and handed down from father to son.
www.angelfire.com /oh5/scottml2/aristotle.htm   (724 words)

  
 SparkNotes: Aristotle: The Early Years to the Academy
Aristotle was born in 384 BC in a small town called Stagira (modern day Stavró), located on the northern coast of the Aegean Sea.
His father, Nicomachus, was a physician, a member of the guild of the Asclepiadæ, and his mother was Phæstis from Chalcis.
Nicomachus had served as the court physician under Amyntass II of Macedonia, and this connection would later help lead to Aristotle's tutorship of Alexander the Great.
www.sparknotes.com /biography/aristotle/section1.html   (586 words)

  
 Aristotle - Crystalinks   (Site not responding. Last check: 2007-10-13)
Aristotle was born at Stageira, a colony of Andros on the Macedonian peninsula of Chalcidice in 384 BC.
His father, Nicomachus, was court physician to King Amyntas III of Macedon.
When Nicomachus also died, in Aristotle's tenth year, he was left an orphan and placed under the guardianship of his uncle, Proxenus of Atarneus.
www.crystalinks.com /aristotle.html   (3252 words)

  
 1120 A.D.   (Site not responding. Last check: 2007-10-13)
With the birth of Nicomachus of Gerasa in this year, there was a break in this dark period of mathematics.
In "Arithmetike eisagoge," or "Introduction to Arithmetic," Nicomachus severed the bond between arithmetic and geometry.
Nicomachus also wrote a two volume work entitled "Theologoumena arithmetikes" or "The Theology of Numbers," which described interesting properties about numbers.
faculty.oxy.edu /jquinn/home/Math490/Timeline/60AD.html   (207 words)

  
 Just Intonation: Two Definitions
Nicomachus chronicles the discoveries of the semi-legendary Greek philosopher and mathematician Pythagoras (
According to Nicomachus, Pythagoras lacked an instrument that would assist his ears in the same manner in which a compass aids the eyes.
Nicomachus continues his discussion by observing that the frequency of a string is
www.chrysalis-foundation.org /just_intonation.htm   (1835 words)

  
 Aristotle: a Brief Biography   (Site not responding. Last check: 2007-10-13)
Aristotle's parents were Nicomachus, a physician said to be able to trace his ancestry through a line of distinguished physicians, and Phaestis, a woman of aristocratic descent.
Nichomachus was probably born in Stagira, a small Greek township situated among green but rocky hills roughly 175 miles north of Athens, and about fifty miles east of the Macedonian city of Pella, where Alexander the Great was later born.
Some time after 384, Nicomachus was invited to work at Pella as the doctor to the king, Amyntas III, who was the father of Philip of Macedon.
www.progressiveliving.org /aristotle_biography.htm   (3035 words)

  
 Aristotle   (Site not responding. Last check: 2007-10-13)
Aristotle was born in approximately 384 B.C. in Thrace in ancient Greece.
  His father Nicomachus, was as legend told it, a descendant of Asclepius god of medicine.
Nicomachus was court physician for Amyntas II father of Phillip the Great.
www.oswego.edu /~msmith15/cogsci3/content/artifacts/Aristotle.htm   (582 words)

  
 GradeSaver: ClassicNote: Biography of Aristotle   (Site not responding. Last check: 2007-10-13)
Aristotle was born in 384 BC, in Stagira, near Macedonia at the northern end of the Aegean Sea.
His father, Nicomachus, was the family physician of King Amyntas of Macedonia.
It is believed that Aristotle's ancestors had been the physicians of the Macedonian royal family for several generations.
www.gradesaver.com /classicnotes/authors/about_aristotle.html   (939 words)

  
 30 - Theoretic Arithmetic
The monad, as we learn from the extracts preserved by Photius from Nicomachus, was called by the Pythagoreans intellect, male and female, God, and in a certain respect matter.
In the last place, they called the monad multinominal, as we are informed by Hesychius; and this with the greatest propriety, because the ineffable one, of which the monad is the image, is, as we have observed, all things prior to all.
The duad was called by the Pythagoreans, as we learn from Nicomachus, "audacity, matter, the cause of dissimilitude, and the interval between multitude and the monad.
www.prometheustrust.co.uk /TTS_Catalogue/30_-_Theoretic_Arithmetic/30_-_theoretic_arithmetic.html   (2360 words)

  
 Amazon.de: The Manual of Harmonics of Nicomachus the Pythagorean: English Books: Nichomachus the Pythagorean,Nicomachus ...   (Site not responding. Last check: 2007-10-13)
von Nichomachus the Pythagorean, Nicomachus the Pythagorean, Flora Levin (Übersetzer)
It is a concise introduction to the study of harmonics, the universal principles of relation embodied in the musical state.
She has the ability to take the reader by the hand, so to speak, and infuse him with her own passion for her subject.
www.amazon.de /Manual-Harmonics-Nicomachus-Pythagorean/dp/0933999437   (277 words)

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