Archytas Of Tarentum Research Articles

Definition and Inquiry in Archytas

In Archytas of Tarentum, Carl Huffman reconstructs Archytas’ theory of definition by linking definitions to the mathematical study of ratios and proportions. This paper considers whether and how Archytas used definitions and whether he possessed a theory of definition. Our evidence does not support the claim that Archytas has a theory of definition, and his approach to the science of harmonics suggests that he relied on analogies and proportions in the practice of inquiry. We understand sounds and other entities by placing them in a network of relations governed by mathematical proportions. Although he does not seem to have formulated definitions of sound, Archytas pursued inquiry into motion and rest by formulating definitions in such a way that they fit into a larger network of causal explanations.

Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King

Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King

Plato and Pythagoreanism

Was Plato a Pythagorean? Plato's students and earliest critics thought so, but scholars since the 19th century have been more skeptical. In Plato and Pythagoreanism, Phillip Sidney Horky argues that a specific type of Pythagorean philosophy, called Pythagoreanism, exercised a decisive influence on fundamental aspects of Plato's philosophy. The progenitor of mathematical Pythagoreanism was the infamous Pythagorean heretic and political revolutionary Hippasus of Metapontum, a student of Pythagoras who is credited with experiments in harmonics that led to innovations in mathematics. The innovations of Hippasus and other mathematical Pythagoreans, including Empedocles of Agrigentum, Epicharmus of Syracuse, Philolaus of Croton, and Archytas of Tarentum, presented philosophers like Plato with new approaches to science that sought to reconcile empirical knowledge with abstract mathematical theories. Plato and Pythagoreanism shows how mathematical Pythagoreanism established many of the fundamental philosophical questions Plato dealt with in his central dialogues, including Cratylus, Phaedo, Republic, Timaeus, and Philebus. In the process, it also illuminates the historical significance of the mathematical Pythagoreans, a group whose influence over the development of philosophical and scientific methods have been obscured since late antiquity. The picture that results is one in which Plato inherits mathematical Pythagorean method only to transform it into a powerful philosophical argument concerning the essential relationships between the cosmos and the human being.

From Leonardo to da Vinci: the history of robot‐assisted surgery in urology

What's known on the subject? and What does the study add? Numerous urological procedures can now be performed with robotic assistance. Though not definitely proven to be superior to conventional laparoscopy or traditional open surgery in the setting of a randomised trial, in experienced centres robot-assisted surgery allows for excellent surgical outcomes and is a valuable tool to augment modern surgical practice. Our review highlights the depth of history that underpins the robotic surgical platform we utilise today, whilst also detailing the current place of robot-assisted surgery in urology in 2011. The evolution of robots in general and as platforms to augment surgical practice is an intriguing story that spans cultures, continents and centuries. A timeline from Yan Shi (1023-957 bc), Archytas of Tarentum (400 bc), Aristotle (322 bc), Heron of Alexandria (10-70 ad), Leonardo da Vinci (1495), the Industrial Revolution (1790), 'telepresence' (1950) and to the da Vinci(®) Surgical System (1999), shows the incredible depth of history and development that underpins the modern surgical robot we use to treat our patients. Robot-assisted surgery is now well-established in Urology and although not currently regarded as a 'gold standard' approach for any urological procedure, it is being increasingly used for index operations of the prostate, kidney and bladder. We perceive that robotic evolution will continue infinitely, securing the place of robots in the history of Urological surgery. Herein, we detail the history of robots in general, in surgery and in Urology, highlighting the current place of robot-assisted surgery in radical prostatectomy, partial nephrectomy, pyeloplasty and radical cystectomy.

Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician King

Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician King

Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician-King (review)

Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician-King (review)

Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician King (review)

Reviewed by Liba Taub University of Cambridge lct1001@cam.ac.uk Carl A. Huffman. Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician King. Cambridge: Cambridge University Press, 2005. xvi + 665 pp. Cloth, $175. Diogenes Laertius described Archytas of Tarentum as "the one who rescued Plato by means of a letter, when he was about to be killed by Dionysius," adding that "he was also admired among the multitude for every virtue" (Lives of the Philosophers 8.79, trans. Huffman, 256). Archytas is known to historians of ancient philosophy for his connection to Plato, although the precise nature of the relationship is, as Huffman explains, not entirely clear. Archytas' work on mathematics and harmonics and his thought experiment regarding the limits of the universe have attracted the attention of scholars particularly interested in history and philosophy of science. But prior to this volume, there has been no book-length study of Archytas of Tarentum (as Huffman notes, O. F. Gruppe's Über die Fragmente des Archytas und der ältern Pythagoreer [Berlin, 1840] was not concerned with understanding Archytas' thought but with arguing that no authentic fragments survive). Huffman's work will serve as the definitive study of Archytas. Overall, Huffman presents a very carefully considered account of Archytas' life, his work, and his influence. The study is meticulous in its detail, and Huffman writes engagingly and with humor. Furthermore, the merit of the volume is not confined to its usefulness for understanding Archytas and the history of Pythagorean thought. The subtitle of the volume—Pythagorean, Philosopher, and Mathematician King—only hints at the wealth of topics dealt with in the book. Through his detailed commentary, Huffman has produced a study that will be valuable for historians of philosophy, science, mathematics, and music who are more generally interested in problems such as the geometrical duplication of the cube and the division of the tetrachords in harmonics. Huffman's commentary engages closely and critically with the literature, providing an up-to-date review of relevant scholarship as well as fresh interpretations of some of the material. His thorough treatment of numerous issues and problems will be a valued resource for readers and encourage further discussion and study. Huffman's study of Archytas is divided into three parts: the first consists of several introductory essays concerned with "Life, writings, and reception," "The philosophy of Archytas," and "The authenticity question." The second part is devoted to the genuine fragments, and the third to the genuine testimonia; both of these provide the texts, translations, and very detailed and enormously useful commentary. One appendix deals with spurious writings and testimonia; another focuses on Archytas' name. As Huffman explains, the texts usually regarded as spurious far outnumber those that are thought to be genuine: only about one-hundred lines of text attributed to Archytas and printed in Diels-Kranz (Die Fragmente der Vorsokratiker (6th ed. [Dublin and Zürich, 1952], henceforth DK) are usually regarded as genuine, while over twelve-hundred lines of almost certainly spurious texts are [End Page 133] collected in H. Thesleff, The Pythagorean Texts of the Hellenistic Period (Åbo, 1965). Huffman, who clearly describes his criteria of judgment (97–100, and in the relevant portions of the commentary), accepts basically the same canon of four fragments as DK, although, as he explains, for somewhat different reasons, and he supplements the testimonia with some overlooked by DK. Tackling the problems posed by the "hodgepodge" of Attic, Doric, Lesbian, and Epic forms preserved in the manuscripts, Huffman has adopted the general approach of DK, only printing the Doric forms when they are found in manuscripts or strongly suggested by manuscript readings (xiv). Archytas was renowned in antiquity for a number of reasons. He was credited, controversially, with having intervened on Plato's behalf in order to rescue him from Dionysius II of Syracuse. He was also elected stratēgos numerous (arguably seven) times in Tarentum. And he was credited with having offered solutions to problems in geometry and harmonics, as...

Historia de la robótica: de Arquitas de Tarento al robot Da Vinci (Parte I)

Robotic surgery is the newst technologic option in urology. To understand how new robots work is interesting to know their history. The desire to design machines imitating humans continued for more than 4000 years. There are references to King-su Tse (clasic China) making up automaton at 500 a. C. Archytas of Tarentum (at around 400 a.C.) is considered the father of mechanical engineering, and one of the occidental robotics classic referents. Heron of Alexandria, Hsieh-Fec, Al-Jazari, Roger Bacon, Juanelo Turriano, Leonardo da Vinci, Vaucanson o von Kempelen were robot inventors in the middle age, renaissance and classicism. At the XIXth century, automaton production underwent a peak and all engineering branches suffered a great development. At 1942 Asimov published the three robotics laws, based on mechanics, electronics and informatics advances. At XXth century robots able to do very complex self governing works were developed, like da Vinci Surgical System (Intuitive Surgical Inc, Sunnyvale, CA, USA), a very sophisticated robot to assist surgeons.

Historia de la robótica: de Arquitas de Tarento al Robot da Vinci. (Parte II)

AbstractRobotic surgery is a reality. In order to to understand how new robots work is interesting to know the history of ancient (see part i) and modern robotics. The desire to design automatic machines imitating humans continued for more than 4000 years. Archytas of Tarentum (at around 400 a.C.), Heron of Alexandria, Hsieh-Fec, Al-Jazari, Bacon, Turriano, Leonardo da Vinci, Vaucanson o von Kempelen were robot inventors. At 1942 Asimov published the three robotics laws. Mechanics, electronics and informatics advances at XXth century developed robots to be able to do very complex self governing works. At 1985 the robot PUMA 560 was employed to introduce a needle inside the brain. Later on, they were designed surgical robots like World First, Robodoc, Gaspar o Acrobot, Zeus, AESOP, Probot o PAKI-RCP. At 2000 the FDA approved the da Vinci Surgical System (Intuitive Surgical Inc, Sunnyvale, CA, USA), a very sophisticated robot to assist surgeons. Currently urological procedures like prostatectomy, cystectomy and nephrectomy are performed with the da Vinci, so urology has become a very suitable speciality to robotic surgery.

Archytas of Tarentum: Pythagorean, philosopher and mathematical king

Archytas of Tarentum: Pythagorean, philosopher and mathematical king

Hippocrates and Archytas Double the Cube: A Heuristic Interpretation

(1989). Hippocrates and Archytas Double the Cube: A Heuristic Interpretation. The College Mathematics Journal: Vol. 20, No. 1, pp. 42-48.