A most unusual guide to the solar system, A Little Book of Coincidence suggests that there may be fundamental relationships between space, time, and life that have not yet been fully understood. From the observations of Ptolemy and Kepler to the Harmony of the Spheres and the hidden structure of the solar system, John Martineau reveals the exquisite orbital patterns of the planets and the mathematical relationships that govern them. A table shows the relative measurements of each planet in eighteen (...) categories, and three pages show the beautiful dance patterns of thirty six pairs of planets and moons. (shrink)

This thirteenth volume of Collected Papers is an eclectic tome of 88 papers in various fields of sciences, such as astronomy, biology, calculus, economics, education and administration, game theory, geometry, graph theory, information fusion, decision making, instantaneous physics, quantum physics, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, scientific research methods, statistics, and others, structured in 17 chapters (Neutrosophic Theory and Applications; Neutrosophic Algebra; Fuzzy Soft Sets; Neutrosophic Sets; Hypersoft Sets; Neutrosophic Semigroups; Neutrosophic Graphs; Superhypergraphs; (...) Plithogeny; Information Fusion; Statistics; Decision Making; Extenics; Instantaneous Physics; Paradoxism; Mathematica; Miscellanea), comprising 965 pages, published between 2005-2022 in different scientific journals, by the author alone or in collaboration with the following 110 co-authors (alphabetically ordered) from 26 countries: Abduallah Gamal, Sania Afzal, Firoz Ahmad, Muhammad Akram, Sheriful Alam, Ali Hamza, Ali H. M. Al-Obaidi, Madeleine Al-Tahan, Assia Bakali, Atiqe Ur Rahman, Sukanto Bhattacharya, Bilal Hadjadji, Robert N. Boyd, Willem K.M. Brauers, Umit Cali, Youcef Chibani, Victor Christianto, Chunxin Bo, Shyamal Dalapati, Mario Dalcín, Arup Kumar Das, Elham Davneshvar, Bijan Davvaz, Irfan Deli, Muhammet Deveci, Mamouni Dhar, R. Dhavaseelan, Balasubramanian Elavarasan, Sara Farooq, Haipeng Wang, Ugur Halden, Le Hoang Son, Hongnian Yu, Qays Hatem Imran, Mayas Ismail, Saeid Jafari, Jun Ye, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, Abdullah Kargın, Vasilios N. Katsikis, Nour Eldeen M. Khalifa, Madad Khan, M. Khoshnevisan, Tapan Kumar Roy, Pinaki Majumdar, Sreepurna Malakar, Masoud Ghods, Minghao Hu, Mingming Chen, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohamed Loey, Mihnea Alexandru Moisescu, Muhammad Ihsan, Muhammad Saeed, Muhammad Shabir, Mumtaz Ali, Muzzamal Sitara, Nassim Abbas, Munazza Naz, Giorgio Nordo, Mani Parimala, Ion Pătrașcu, Gabrijela Popović, K. Porselvi, Surapati Pramanik, D. Preethi, Qiang Guo, Riad K. Al-Hamido, Zahra Rostami, Said Broumi, Saima Anis, Muzafer Saračević, Ganeshsree Selvachandran, Selvaraj Ganesan, Shammya Shananda Saha, Marayanagaraj Shanmugapriya, Songtao Shao, Sori Tjandrah Simbolon, Florentin Smarandache, Predrag S. Stanimirović, Dragiša Stanujkić, Raman Sundareswaran, Mehmet Șahin, Ovidiu-Ilie Șandru, Abdulkadir Șengür, Mohamed Talea, Ferhat Taș, Selçuk Topal, Alptekin Ulutaș, Ramalingam Udhayakumar, Yunita Umniyati, J. Vimala, Luige Vlădăreanu, Ştefan Vlăduţescu, Yaman Akbulut, Yanhui Guo, Yong Deng, You He, Young Bae Jun, Wangtao Yuan, Rong Xia, Xiaohong Zhang, Edmundas Kazimieras Zavadskas, Zayen Azzouz Omar, Xiaohong Zhang, Zhirou Ma.‬‬‬‬‬‬‬‬. (shrink)

本书考察了以理学家, 科技实践家, 医学研究者及人文学等为代表的典型人物的科技思想, 比较清晰地勾勒出金元科技思想史的发展脉络, 并对金元科技思想的历史演变及宗教特征进行了新的学术审视和反思. 本书分为上下两卷, 本册为上卷.

Relying on an analysis of the case of gravitational lensing, Hacking argues for a "modest antirealism" in astronomy. It is shown here that neither his scientific arguments nor his philosophical doctrines imply an antirealist conclusion. An alternative, realistic interpretation of gravitational lensing, and of the nature and history of astronomy more generally, is suggested.

This article describes the experiences of a former astronomer who is making the transition to astronomy education research as an international graduate student in the United States. The article describes the author’s encounters with education research, its methodologies, and his changing research interests as he progresses through the graduate program. It also describes his experiences with the busy life of a graduate student in American academia and his experiences as an international student.

It is well known that Hegel’s earliest explicit mention of Adam Smith is to be found in the first set of the Jenaer Systementwurfe, a text previously known under J. Hoffmeister’s title Jenenser Realphilosophie I. In this text, Hegel sums up the example by which Smith illustrates the division of labor: the manufacturing of pins. In a marginal note to this exposition, the name “Smith” appears with a page reference. It is quite significant that his first reference to Smith is (...) not to some marginal or merely historical point of Smith’s analysis, but to the crucial treatment of the division of labor, upon which, as a modern commentator put it, “the discipline of economics was nurtured.” Other indications of the importance which Hegel ascribed to Smith’s treatment are. (shrink)

L’importance de l’astronomie dans l’œuvre d’Auguste Comte est à la mesure de la place fondatrice qu’il lui accorde dans sa propre classification des sciences que constitue le Cours de philosophie positive. Comte dispense même un cours populaire d’astronomie, dont l’objectif n’est pas de former à l’astronomie mais à la « saine philosophie » positive. D’où le regard philosophique qu’il porte sur elle comme l’indique son Traité philosophique d’astronomie populaire. Pour Comte, l’astronomie est donc tout à la fois, un modèle de (...) science positive et un faire-valoir de la philosophie positive et même de l’engagement positiviste, quitte à restreindre assez fortement son champ d’étude. (shrink)

This richly illustrated book discusses the ways in which astronomy expanded after 1945 from a modest discipline to a robust and modern science. It begins with an introduction to the state of astronomy in 1945 before recounting how in the following years, initial observations were made in hitherto unexplored ranges of wavelengths, such as X-radiation, infrared radiation and radio waves. These led to the serendipitous discovery of more than a dozen new phenomena, including quasars and neutron stars, that (...) each triggered a new area of research. The book goes on to discuss how after 1985, the further, systematic exploration of the earlier discoveries led to long-term planning and the construction of new, large telescopes on Earth and in Space. Key scientific highlights described in the text are the detection of exoplanets, the unexpected discovery of the accelerated expansion of the Universe, a generally accepted model for the large-scale properties of the Universe and the ΛCDM theory that explains how the galaxies and stars of the present Universe were formed from minute irregularities in the homogenous gas that filled the early Universe. All these major scientific achievements came at a price, namely the need to introduce two new phenomena that are as yet unexplained by physics: inflation and dark energy. Probably the deepest unsolved question has to be: Why did all of this start with a Big Bang? (shrink)

This chapter begins with a discussion of Egyptian and Babylonian influences in Greek astronomy. It considers the development of Pythagorean astronomy before Philolaus. It then focuses on the difficulty of identifying an individual contribution to astronomy by Pythagoras or specific early Pythagoreans. It shows that Alexander relied on Aristotle, who connected with Philolaus neither the harmony of the spheres nor the geocentric model on which it is based. The surviving works of Aristotle actually contain no indication that (...) he associated the harmony of the spheres with Philolaus' system. (shrink)

This book provides the first presentation of the bilingual textual material that illustrates the transmission of Islamic astronomy to scientists of the Indian Sanskritic tradition. It includes editions of the chapter of the _Tadhkira_ in which the mid-thirteenth century Persian astronomer, Nasīr al-dīn al-ṭūsī discussed the new solutions that he devised to overcome certain technical problems in the lunar and planetary models of Ptolemaic astronomy and of the learned commentary composed by al-Birjandī in the early sixteenth century together (...) with the Sanskrit translation of both made by Nayanasukha at Jaipur in 1729. An English translation of the Arabic texts and a commentary discussing their technical meanings and the deviations from them in the Sanskrit version together with a glossary of the Arabic and Sanskrit technical vocabulary conclude the volume. (shrink)

Plato's comments on astronomy and the education of the guardians at Republic 528e ff have been hotly disputed, and have provoked much criticism from those who have interpreted them as a rejection or denigration of observational astronomy. Here I argue that the key to interpreting these comments lies in the relationship between the conception of enquiry that is implicit in the epistemological allegories, and the programme for the education of the guardians that Plato subsequently proposes. We have, I (...) suggest, been too eager to stress the similarities here, when recognition of the differences may supply us with the tools required for a better understanding of 528e ff, one that to a large extent disarms the anti-empirical critique. My discussion proceeds in three stages. Firstly, Plato takes great care to place his comments on astronomy in the context of the preceding epistemological allegories. Is there any evidence here, where Plato might be thought to discuss enquiry in general, that he rejected or denigrated observation? I argue that even if Plato advocated a 'Two Worlds' (TW) ontology, he still envisaged a dynamic process of enquiry, interrelating sensibles and intelligibles, the investigation of each being necessary but not sufficient to achieve the overall aim. Secondly, Plato appears to be deriving how we ought to go about educating the guardians from how we ought to conduct our enquiries. While the two are intimately related there are important differences, recognition of which turns the supposed rejection of observation into an affirmation of the need for an initial empirical approach. I contend that this makes good sense of the internal structure of 528e ff, and of its relations to other parts of the Republic. Thirdly, I discuss the Republic in relation to the evidence offered by later works on the question of astronomy and observation, and raise the question of whether Plato's views on the imperfection of the sensible world necessarily lead to the denigration of careful and prolonged empirical work. (shrink)

In Hellenistic Astronomy: The Science in Its Contexts, renowned scholars address questions about what the ancient science of the heavens was and the numerous contexts in which it was pursued.

The significance of the plurality of the Copernican Revolution is the main thrust of this undergraduate text In this study of the Copernican Revolution, the ...

Around 1716, the French astronomer and academician Joseph-Nicolas Delisle took up a new project: the twinned topics of Chinese chronology and astronomy. Unable to access Chinese sources and not knowing any fellow savants who shared this particular interest, Delisle methodically made extracts and compiled data from the existing European literature. Among Delisle's papers at the Observatoire de Paris still exist the results of this research, including a list of the books he found relevant. This paper develops a close reading (...) of Delisle's notes from this period to stage his journey into a recondite arena of technical and textual analysis, and to examine the scholarly practices and generic conventions through which early modern European savants confronted the Chinese astronomical tradition. (shrink)

In order to get rid of the contradictions he had identified in Ptolemy’s Astronomy, Ibn al-Haytham abandons cosmology and develops a purely kinematic description of the movement of the wandering stars. This description culminates with the proof that such a star, during its daily movement, reaches exactly one time a maximum height above the horizon and that any inferior height is reached exactly twice. The proofs of these facts necessitates new mathematical tools and Ibn al-Haytham is led to establish (...) very sophisticated statements concerning the variation of certain ratios of arcs of circles on the sphere. He also introduces the fruitful idea of assimilating a very small spherical triangle to a plane triangle. (shrink)

This source book provides new information about a much neglected aspect of the scientific tradition of the Islamic Middle Ages, focusing on folk astronomy and its relations to religious duties ).

This volume represents the first which interfaces with astronomy as the fulcrum of the sciences. It gives full expression to the human passion for the skies. Advancing human civilization has unfolded and matured this passion into the comprehensive science of astronomy. Advancing science’s quest for the first principles of existence meets the ontopoietic generative logos of life, the focal point of the New Enlightenment. It presents numerous perspectives illustrating how the interplay between human beings and the celestial realm (...) has informed civilizational trends. Scholars and philosophers debate in physics and biology, the findings of which are opening a more inclusive, wider picture of the universe. The different models of the universal order and of life here presented, all aiming at the first principles of existence—accord with the phenomenology/ontopoiesis of life within the logos-prompted primogenital stream of becoming and action, which points to a future of progressing culture. (shrink)

Astronomy on Trial systematically and convincingly argues against every aspect of the theory behind the idea of the "Big Bang." Using a readable style that incorporates the laws of physics, Roy C. Martin exposes the impossibilities that have been so commonly manipulated to support the Big Bang theory. He carefully explains the absurdities that have come to represent modern day cosmology and high-energy physics that have arisen from the group-think phenomenon. Martin reveals this group-think as the tendency of scientists (...) to fit the astronomical observational data that flow into context within the standard theories already established by the community of cosmologists. The author's witty, point-by-point exposition of the impossibility of the Big Bang not only provides insights into this one situation, but reveals a troubling trend of a lack of skepticism in scientific research in general that calls for a reevaluation of conclusions in all other fields of science. (shrink)

Heracleides Ponticus, a pupil of the schools of Plato and Aristotle, who lived from about 390 to 310 B.C., shared the wide interests of many of his pre-Platonic predecessors. Diogenes Laertius gives a long list of his works, many of them now known only by their titles, which he divided into writings on ethics, physics, grammar, music, rhetoric, and history. Like most of his predecessors he gave some attention to the heavens and speculated about the nature of the moon , (...) comets , the infinity of the cosmos ; he was best known in antiquity, in this field, for his suggestion that the phenomena could be saved if the heavens were at rest and the earth revolved about the central axis .2 One of two pieces of evidence for his involvement in anything more than this general, inexact speculation in the field of astronomy is contained in the commentary on Plato's Timaeus written in Latin by Chalcidius somewhere at the beginning of the fourth century A.D.; it is this passage which this paper will discuss. (shrink)

Abraham ibn Ezra d'Espagne (m. 1167) fut l'un des plus importants savants ayant contribué à la transmission de la science arabe à l'Occident. Ses ouvrages en astrologie et en astronomie, rédigés en hébreu puis traduits en latin, étaient considéréd comme faisant autorité par de nombreux savants juifs et Chrétiens. Parmi les ouvrages qu'il a traduits de l'arabe en hébreu, certains sont perdus dans leur langue originale et ses propres ouvrages renferment certaines informations concernant des sources anciennes mal ou pas du (...) tout connues par ailleurs. Ibn Ezra semble être le premier a avoir consigne l'une des sept méthodes pour dresser les maisons astrologiques. Cette méthode avait par la suite été utilisée par Lévi ben Gershom (m. 1344) dans le Midi de la France. (shrink)

In one of the most disputed passages of Greek literature Plato in the Republic, 7. 528e–530c prescribes astronomy as the fourth study in the education of the Guardians. But what sort of astronomy? According to one school of thought it is a purely speculative study of bodies in motion having no relation to the celestial objects that we see. While this interpretation has rejoiced the hearts of Plato's detractors, who regard him as an obstacle to the progress of (...) science, it has dismayed his admirers. Another school of thought holds that what Plato meant was that astronomers must get to know the real motions of the heavenly bodies as opposed to their apparent motions as seen by us on earth. The opposed interpretations may be set out in the following representative citations from Sir Thomas Heath and John Burnet. (shrink)

The least attentive Hellenist must have noticed that the Greek tongue contains a number of pairs of nouns of identical or nearly related meaning—one in the masculine, the other in the feminine. The subject attracted the notice of Lobeck, Pathoiogia, pp. 7 sq., Technologia, pp. 267 sq.; G. Meyer in Curtius' Studien V., p. 68; Stein in the introduction to his Herodotus, p. lx ; and the resultant list will be found in Kuhner-Blass I., pp. 501, 502. It is not (...) complete , and the question deserves investigation. The only doctrine that can be called such appears to be the remark in schol. BT on Σ 551 , δρεπανας] Iωνκως, οủτο αρ τρεπουσ πάντα είς τφρη, ταρη αστρααλη. (shrink)

οδ γρ εδεης νδρ νον οδ γυναι πρν πειρηθεης σπερ ποζγου, οδ κεν εκσσαις σπερ ποτ’ ς ριον λθν. πολλκι γνμην ξαπατσ’ δαι. ς ριον A , σριον the rest.

The most discussed and mysterious column within the Babylonian astronomy is columnΦ. It is closely connected to the lunar velocity and to the duration of the Saros. This paper presents new ideas for the development and interpretation of columnΦ. It combines the excellent Goal-Year method with old ideas and practices from the “schematic astronomy”. Inspired by the old “TU11” rule for prediction of times of lunar eclipses, it proposes that columnΦ, in a similar way, used the sum of (...) the Lunar Four to predict times of lunar eclipses as well as the duration of one, 6, and 12 months by means of what usually is called “R–S” schemes. It also explains fully the structure and development of such schemes, a fact that strongly supports the new interpretation of columnΦ. (shrink)

1. Liber de causis -- 2. Metafysische thema's en notities -- 3. Belangrijke figuren uit het Middeleeuwse geestesleven -- 4. Denkers uit Vlaamse gewesten -- 5. Sint-Thomas en Aristoteles. Codicologie en filosofische terminologie.

In Proverb. Vat. IV. 3 the proverbial σιδειον γρας is somewhat darkly explained as follows: ριστοτλης ν ρχομενων πολιτεα δς τετφθαι φησ τν σοδον κα πιγ἗μματος τοδε τνχεν. Χαρε, δς βσας κα δς τον ντιβολσας, σοδ′, νθρποις μτρον χων σοης.

El presente artículo aborda las connotaciones y los fundamentos de la paráfrasis cum canere vellem en Serv. Ecl. 6. 3. El análisis del sentido del verbo volo en este contexto y la confrontación del pasaje con Serv. Ecl. 6. 5 revelan que Servio interpreta la frase cum canerem reges et proelia como referencia a un temprano empeño de Virgilio en componer poesía épica, del que pronto desistió. Esta interpretación está condicionada por la idea de que la secuencia cronológica Églogas - (...) Geórgicas - Eneida tiene un correlato jerárquico, idea que se funda en noticias biográficas y en la teoría de la tripertita varietas. This paper focuses on the connotations and grounds of the paraphrase cum canere vellem in Serv. Ecl. 6. 3. The analysis of the sense of verb volo within this context, as well as the confrontation between that passage and Serv. Ecl. 6. 5, show that Servius interprets the clause cum canerem reges et proelia as a reference to Virgil's early endeavor to compose an epic poem, from which he shortly desisted. This interpretation is conditioned by the idea that the chronological sequence Eclogues - Georgics - Aeneid has a hierarchical correlate, an idea which is founded on biographical information and the theory of tripertita varietas. (shrink)