17,000 Articles from the Encyclopædia Britannica, 11th & 12th eds. Philolaus (c. 470c. 385 B.C.) Greek philosopher of the Pythagorean school, born at Tarentum or at Crotona 1 (so Diog. Laert. viii. 84). He was said to have been intimate with Democritus, and was probably one of his teachers. After the death of Pythagoras great dissensions prevailed in the cities of lower Italy. According to some accounts, Philolaus, obliged to flee, took refuge first in Lucania and then at Thebes, where he had as pupils Simmias and Cebes, who subsequently, being still young men (νεανίσκοι), were present at the death of Socrates. Before this Philolaus had returned to Italy, where he was the teacher of Archytas. He entered deeply into the distinctively Pythagorean number theory, particularly dwelling on the properties inherent in the decadthe sum of the first four numbers, consequently the fourth triangular number, the tetractys (see Vit. Pythag. ap. Phot. Bibl. p. 712)which he called great, all-powerful, and all-producing. The great Pythagorean oath was taken by the sacred tetractys. The discovery of the regular solids is attributed to Pythagoras by Eudemus, and Empedocles is stated to have been the first who maintained that there are four elements. Philolaus, connecting these ideas, held that the elementary nature of bodies depends on their form, and assigned the tetrahedron to fire, the octahedron to air, the icosahedron to water, and the cube to earth; the dodecahedron he assigned to a fifth element, aether, or, as some think, to the universe (see Plut. de Pl. Ph. ii. 6, ἐκ δὲ τοῦ δωδεκαέδρου τὴν τοῦ παντὸς σφαῖραν and Stob. Ecl. Phys. i. 10, ὁ τᾶς σφαίρας ὁλκός). This theory, however superficial from the standpoint of observation, indicates considerable knowledge of geometry and gave a great impulse to the study of the science. Following Parmenides, Philolaus regarded the soul as a mixture and harmony of the bodily parts; he also assumed a substantial soul, whose existence in the body is an exile on account of sin.1 Philolaus was the first to propound the doctrine of the motion of the earth; some attribute this doctrine to Pythagoras, but there is no evidence in support of their view. Philolaus supposed that the sphere of the fixed stars, the five planets, the sun, moon and earth, all moved round the central fire, which he called the hearth of the universe, the house of Zeus, and the mother of the gods (see Stob. Ecl. Phys. i. 488); but as these made up only nine revolving bodies he conceived, in accordance with his number theory, a tenth, which he called counter-earth, ἀντίχθων. He supposed the sun to be a disk of glass which reflects the light of the universe. He made the lunar month consist of 291/2 days, the lunar year of 354, and the solar year of 3651/2 days. He was the first who published a book on the Pythagorean doctrines, a treatise of which Plato made use in the composition of his Timaeus. This work of the Pythagorean, to which the mystical name Βάκχαι is sometimes given, seems to have consisted of three books: (1) Περὶ κόσμον, containing a general account of the origin and arrangement of the universe; (2) Περὶ φύσεως, an exposition of the nature of numbers; (3) Περὶ ψυχῆς, on the nature of the soul.2 See Boeckh, Philolaus des Pythagoreers Lehren nebst den Bruchstücken seines Werkes (Berlin, 1819); Schaarschmidt, Die angebliche Schriftstellerei des Philolaus (1864); also Fabricius, Bibliotheca Graeca; Zeller, History of Greek Philosophy; Chaignet, Pythagore et la philosophie pythagoricienne, contenant les fragments de Philolaus et dArchitas (1873); Th. Gomperz, Greek Thinkers (Eng. trans., 1901), i. 123 sqq., 543 sqq. and authorities there quoted; also art. Pythagoras. For fragments see Ritter and Preller, Hist. Philosoph. ch. ii.3 Footnotes
1. Boeckh places his life between the 70th and 95th Olympiads (496396 B.C.). He was a contemporary of Socrates and Democritus, but senior to them, and was probably somewhat junior to Empedocles, so that his birth may be placed at about 480. [back]
© 2022 WEHD.com智能索引记录
-
2026-03-02 12:30:06
图片素材
成功
标题:再见的作文1500字 描写再见的作文 关于再见的作文-作文网
简介:作文网精选关于再见的1500字作文,包含再见的作文素材,关于再见的作文题目,以再见为话题的1500字作文大全,作文网原创
-
2026-03-02 12:36:33
教育培训
成功
标题:精选我和字的故事作文400字集合七篇
简介:在平平淡淡的学习、工作、生活中,大家都不可避免地要接触到作文吧,作文是人们以书面形式表情达意的言语活动。作文的注意事项有
-
2026-03-02 12:11:25
图片素材
成功
标题:三年级说明文作文40字 三年级40字说明文作文大全-作文网
简介:作文网优秀三年级说明文40字作文大全,包含三年级说明文40字作文素材,三年级说明文40字作文题目、美文范文,作文网原创名
-
2026-03-02 12:29:05
教育培训
成功
标题:实用的送给妈妈的礼物的作文(合集6篇)
简介:在平平淡淡的学习、工作、生活中,大家都经常接触到作文吧,作文是通过文字来表达一个主题意义的记叙方法。那么,怎么去写作文呢
-
2026-03-02 12:28:12
教育培训
成功
标题:我眼中的世界作文450字(通用3篇)
简介:在学习、工作乃至生活中,大家都跟作文打过交道吧,作文根据体裁的不同可以分为记叙文、说明文、应用文、议论文。为了让您在写作
-
2026-03-02 12:41:40
职场办公
成功
标题:《生灵重塑》试玩版好评如潮:这才是《小小梦魇3》!_3DM单机
简介:由《小小梦魇》开发商Tarsier Studios工作室打造的新作《生灵重塑》近日开放了试玩Demo,截止发稿前,该作在
-
2026-03-02 12:33:13
综合导航
成功
标题:Thrasher Disco By Spanky Hoodie - Charcoal – CCS
简介:Hoodie Style:Pullover,Hoodie Design:Graphic,Hoodie Material
-
2026-03-02 12:28:19
综合导航
成功
标题:Free Valentine's Day Coloring Page - Heart Seal with Cartoon EDU.COM
简介:Download this free printable Valentine
-
2026-03-02 12:26:29
综合导航
成功
标题:Manuals
简介:Manuals
-
2026-03-02 12:25:45
综合导航
成功
标题:Russia provides critical disaster relief to Madagascar (VIDEO, PHOTOS) — RT Africa
简介:Russia has donated critical humanitarian aid to Madagascar f
-
2026-03-02 12:14:09
综合导航
成功
标题:NVE Corp - Isolator Evaluation Boards
简介:This is Isolator Evaluation Boards.
-
2026-03-02 12:37:08
图片素材
成功
标题:我家的作文40字 描写我家的作文 关于我家的作文-作文网
简介:作文网精选关于我家的40字作文,包含我家的作文素材,关于我家的作文题目,以我家为话题的40字作文大全,作文网原创名师点评
-
2026-03-02 12:28:05
综合导航
成功
标题:property sec-fetch-site Node.js http module Bun
简介:API documentation for property node:http.IncomingHttpHeaders
-
2026-03-02 12:14:46
教育培训
成功
标题:关于教师节的作文250字(精选10篇)
简介:在日常的学习、工作、生活中,大家都经常看到作文的身影吧,借助作文可以宣泄心中的情感,调节自己的心情。你所见过的作文是什么
-
2026-03-02 12:36:07
电商商城
成功
标题:Ni8网联科技-深圳专业网站建设、软件定制、小程序开发、物联网开发公司-深圳市网联信息科技开发有限公司
简介:网联科技是深圳专业的网站制作外包公司提供品牌网站制作商城网站开发小程序开发软件定制开发,20年来为2万多家企业打造高品牌
-
2026-03-02 12:21:42
图片素材
成功
标题:keter的作文 描写keter的作文 关于keter的作文 素材-作文网
简介:作文网精选关于keter的作文,包含keter的作文素材,关于keter的作文题目,以keter为话题的作文大全,作文网
-
2026-03-02 12:22:40
教育培训
成功
标题:秋天三年级作文实用【5篇】
简介:在平时的学习、工作或生活中,大家对作文都不陌生吧,通过作文可以把我们那些零零散散的思想,聚集在一块。相信写作文是一个让许
-
2026-03-02 12:18:10
教育培训
成功
标题:香港大学张江基地正式启用,首批超200名本硕学生已在沪学习!-上海新王牌
简介:昨日,香港大学张江基地启用仪式在张江科学城举行。香港大学张江基地正式启用,首批超200名本硕学生已在沪学习!首批超200
-
2026-03-02 12:35:17
综合导航
成功
标题:SunPump’s First Anniversary: Decoding the Lightning Rise of the Meme Equity Launch PlatformRecommended Articles Bee Network
简介:On August 13, 2024, SunPump debuted in beta. A year later, t
-
2026-03-02 12:27:22
综合导航
成功
标题:Family and Foundations Union Pacific
简介:Union Pacific connects 23 western U.S. states, providing saf
-
2026-03-02 12:40:15
综合导航
成功
标题:建网站用服务器还是用虚拟主机-虚拟主机知识
简介:建网站用服务器还是用虚拟主机?建网站,用服务器或虚拟主机都是可以的,依据我们网站需求多少来确定,网站小的、需求少的,以虚
-
2026-03-02 12:29:50
教育培训
成功
标题:语文作文300字
简介:在日常的学习、工作、生活中,大家最不陌生的就是作文了吧,根据写作命题的特点,作文可以分为命题作文和非命题作文。你知道作文
-
2026-03-02 12:17:20
教育培训
成功
标题:实用的小狗小学作文
简介:在日常生活或是工作学习中,许多人都有过写作文的经历,对作文都不陌生吧,作文是人们以书面形式表情达意的言语活动。相信许多人
-
2026-03-02 12:31:08
综合导航
成功
标题:المعجم XS
简介:فهم أهم المصطلحات المالية من خلال معجمنا التفصيلي من الألف إ
-
2026-03-02 12:17:56
游戏娱乐
成功
标题:暴走英雄坛_暴走英雄坛html5游戏在线玩_4399h5游戏-4399在线玩
简介:4399为您提供暴走英雄坛在线玩,暴走英雄坛下载, 暴走英雄坛攻略秘籍.更多暴走英雄坛游戏尽在4399小游戏,好玩记得告
-
2026-03-02 12:17:01
教育培训
成功
标题:【热门】五年级作文300字汇编7篇
简介:在平时的学习、工作或生活中,大家都不可避免地会接触到作文吧,作文根据写作时限的不同可以分为限时作文和非限时作文。一篇什么
-
2026-03-02 12:25:19
综合导航
成功
标题:RN - Behavioral Psychology · GQR
简介:Behavioral Psychology RN Job Location: Ottumwa, IA Professio
-
2026-03-02 12:32:27
综合导航
成功
标题:1991 Previa 5-Speed Parts Van! [Archive] - Toyota MR2 Message Board
简介:Here
-
2026-03-02 12:34:59
教育培训
成功
标题:礼物的作文实用(8篇)
简介:在现实生活或工作学习中,大家总免不了要接触或使用作文吧,作文是人们把记忆中所存储的有关知识、经验和思想用书面形式表达出来
-
2026-03-02 12:16:53
综合导航
成功
标题:LG Hotel TVs with Alexa for Hospitality Enhance The Guest Experience LG Global
简介:LG Business Solutions and Amazon are bringing Alexa for Hosp