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A Philosophical and Historical Analysis of Cosmology from Copernicus to Newton
University of Central Florida STARS Electronic Theses and Dissertations, 2004-2019 2017 Scientific transformations: a philosophical and historical analysis of cosmology from Copernicus to Newton Manuel-Albert Castillo University of Central Florida Part of the History of Science, Technology, and Medicine Commons Find similar works at: https://stars.library.ucf.edu/etd University of Central Florida Libraries http://library.ucf.edu This Masters Thesis (Open Access) is brought to you for free and open access by STARS. It has been accepted for inclusion in Electronic Theses and Dissertations, 2004-2019 by an authorized administrator of STARS. For more information, please contact [email protected]. STARS Citation Castillo, Manuel-Albert, "Scientific transformations: a philosophical and historical analysis of cosmology from Copernicus to Newton" (2017). Electronic Theses and Dissertations, 2004-2019. 5694. https://stars.library.ucf.edu/etd/5694 SCIENTIFIC TRANSFORMATIONS: A PHILOSOPHICAL AND HISTORICAL ANALYSIS OF COSMOLOGY FROM COPERNICUS TO NEWTON by MANUEL-ALBERT F. CASTILLO A.A., Valencia College, 2013 B.A., University of Central Florida, 2015 A thesis submitted in partial fulfillment of the requirements for the degree of Master of Arts in the department of Interdisciplinary Studies in the College of Graduate Studies at the University of Central Florida Orlando, Florida Fall Term 2017 Major Professor: Donald E. Jones ©2017 Manuel-Albert F. Castillo ii ABSTRACT The purpose of this thesis is to show a transformation around the scientific revolution from the sixteenth to seventeenth centuries against a Whig approach in which it still lingers in the history of science. I find the transformations of modern science through the cosmological models of Nicholas Copernicus, Johannes Kepler, Galileo Galilei and Isaac Newton. -
Read Book Five Texts on the Mediaeval Problem of Universals
FIVE TEXTS ON THE MEDIAEVAL PROBLEM OF UNIVERSALS : PORPHYRY, BOETHIUS, ABELARD, DUNS SCOTUS, OCKHAM PDF, EPUB, EBOOK Paul V. Spade | 320 pages | 15 Mar 1994 | Hackett Publishing Co, Inc | 9780872202498 | English | Cambridge, MA, United States Five Texts on the Mediaeval Problem of Universals : Porphyry, Boethius, Abelard, Duns Scotus, Ockham PDF Book Seller Inventory APC Henry Desmond Paul. Without a doubt, it is the captivating simplicity of this picture, especially as compared with the complexity of the via antiqua picture, that was the major appeal of the Ockhamist approach. Although Abelard — under pressure to conform to an orthodoxy which, as it turned out, he was in any case accused of infringing — might accept a certain element of inexplicable mystery in the doctrine of divine triunity, he elaborated in the different versions of his Theologia a complex theory of sameness and difference, which seems to have been designed to explain in terms of logic how something can be three and yet one. Create a Want Tell us what you're looking for and once a match is found, we'll inform you by e-mail. Scotus was a great champion of St. An Explorative Study. Indeed, it is precisely this possibility that allows me to form the universal mental representation, that is, the universal concept of all particular triangles, regardless of whether they are isosceles or scalene. Hissette, R. Aben Ezra. Abelard would not hesitate, therefore, to say that, for example, it is and was always wrong for a mentally normal adult to commit adultery unless, in some way, he is unaware that it is in this case adultery because he could not fail to know that adultery is divinely forbidden and that, therefore, it shows contempt to God to perform it. -
Glossary Glossary
Glossary Glossary Albedo A measure of an object’s reflectivity. A pure white reflecting surface has an albedo of 1.0 (100%). A pitch-black, nonreflecting surface has an albedo of 0.0. The Moon is a fairly dark object with a combined albedo of 0.07 (reflecting 7% of the sunlight that falls upon it). The albedo range of the lunar maria is between 0.05 and 0.08. The brighter highlands have an albedo range from 0.09 to 0.15. Anorthosite Rocks rich in the mineral feldspar, making up much of the Moon’s bright highland regions. Aperture The diameter of a telescope’s objective lens or primary mirror. Apogee The point in the Moon’s orbit where it is furthest from the Earth. At apogee, the Moon can reach a maximum distance of 406,700 km from the Earth. Apollo The manned lunar program of the United States. Between July 1969 and December 1972, six Apollo missions landed on the Moon, allowing a total of 12 astronauts to explore its surface. Asteroid A minor planet. A large solid body of rock in orbit around the Sun. Banded crater A crater that displays dusky linear tracts on its inner walls and/or floor. 250 Basalt A dark, fine-grained volcanic rock, low in silicon, with a low viscosity. Basaltic material fills many of the Moon’s major basins, especially on the near side. Glossary Basin A very large circular impact structure (usually comprising multiple concentric rings) that usually displays some degree of flooding with lava. The largest and most conspicuous lava- flooded basins on the Moon are found on the near side, and most are filled to their outer edges with mare basalts. -
Squaring the Circle a Case Study in the History of Mathematics the Problem
Squaring the Circle A Case Study in the History of Mathematics The Problem Using only a compass and straightedge, construct for any given circle, a square with the same area as the circle. The general problem of constructing a square with the same area as a given figure is known as the Quadrature of that figure. So, we seek a quadrature of the circle. The Answer It has been known since 1822 that the quadrature of a circle with straightedge and compass is impossible. Notes: First of all we are not saying that a square of equal area does not exist. If the circle has area A, then a square with side √A clearly has the same area. Secondly, we are not saying that a quadrature of a circle is impossible, since it is possible, but not under the restriction of using only a straightedge and compass. Precursors It has been written, in many places, that the quadrature problem appears in one of the earliest extant mathematical sources, the Rhind Papyrus (~ 1650 B.C.). This is not really an accurate statement. If one means by the “quadrature of the circle” simply a quadrature by any means, then one is just asking for the determination of the area of a circle. This problem does appear in the Rhind Papyrus, but I consider it as just a precursor to the construction problem we are examining. The Rhind Papyrus The papyrus was found in Thebes (Luxor) in the ruins of a small building near the Ramesseum.1 It was purchased in 1858 in Egypt by the Scottish Egyptologist A. -
Proclus on the Elements and the Celestial Bodies
PROCLUS ON THE ELEMENTS AND THE CELESTIAL BODIES PHYSICAL TH UGHT IN LATE NEOPLAT NISM Lucas Siorvanes A Thesis submitted for the Degree of Doctor of Philosophy to the Dept. of History and Philosophy of Science, Science Faculty, University College London. Deuember 1986 - 2 - ABSTRACT Until recently, the period of Late Antiquity had been largely regarded as a sterile age of irrationality and of decline in science. This pioneering work, supported by first-hand study of primary sources, argues that this opinion is profoundly mistaken. It focuses in particular on Proclus, the head of the Platonic School at Athens in the 5th c. AD, and the chief spokesman for the ideas of the dominant school of thought of that time, Neoplatonism. Part I, divided into two Sections, is an introductory guide to Proclus' philosophical and cosmological system, its general principles and its graded ordering of the states of existence. Part II concentrates on his physical theories on the Elements and the celestial bodies, in Sections A and B respectively, with chapters (or sub-sections) on topics including the structure, properties and motion of the Elements; light; space and matter; the composition and motion of the celestial bodies; and the order of planets. The picture that emerges from the study is that much of the Aristotelian physics, so prevalent in Classical Antiquity, was rejected. The concepts which were developed instead included the geometrization of matter, the four-Element composition of the universe, that of self-generated, free motion in space for the heavenly bodies, and that of immanent force or power. -
A History of Cynicism
A HISTORY OF CYNICISM Downloaded from https://www.holybooks.com Downloaded from https://www.holybooks.com A HISTORY OF CYNICISM From Diogenes to the 6th Century A.D. by DONALD R. DUDLEY F,llow of St. John's College, Cambrid1e Htmy Fellow at Yale University firl mll METHUEN & CO. LTD. LONDON 36 Essex Street, Strand, W.C.2 Downloaded from https://www.holybooks.com First published in 1937 PRINTED IN GREAT BRITAIN Downloaded from https://www.holybooks.com PREFACE THE research of which this book is the outcome was mainly carried out at St. John's College, Cambridge, Yale University, and Edinburgh University. In the help so generously given to my work I have been no less fortunate than in the scenes in which it was pursued. I am much indebted for criticism and advice to Professor M. Rostovtseff and Professor E. R. Goodonough of Yale, to Professor A. E. Taylor of Edinburgh, to Professor F. M. Cornford of Cambridge, to Professor J. L. Stocks of Liverpool, and to Dr. W. H. Semple of Reading. I should also like to thank the electors of the Henry Fund for enabling me to visit the United States, and the College Council of St. John's for electing me to a Research Fellowship. Finally, to• the unfailing interest, advice and encouragement of Mr. M. P. Charlesworth of St. John's I owe an especial debt which I can hardly hope to repay. These acknowledgements do not exhaust the list of my obligations ; but I hope that other kindnesses have been acknowledged either in the text or privately. -
Plato As "Architectof Science"
Plato as "Architectof Science" LEONID ZHMUD ABSTRACT The figureof the cordialhost of the Academy,who invitedthe mostgifted math- ematiciansand cultivatedpure research, whose keen intellectwas able if not to solve the particularproblem then at least to show the methodfor its solution: this figureis quite familiarto studentsof Greekscience. But was the Academy as such a centerof scientificresearch, and did Plato really set for mathemati- cians and astronomersthe problemsthey shouldstudy and methodsthey should use? Oursources tell aboutPlato's friendship or at leastacquaintance with many brilliantmathematicians of his day (Theodorus,Archytas, Theaetetus), but they were neverhis pupils,rather vice versa- he learnedmuch from them and actively used this knowledgein developinghis philosophy.There is no reliableevidence that Eudoxus,Menaechmus, Dinostratus, Theudius, and others, whom many scholarsunite into the groupof so-called"Academic mathematicians," ever were his pupilsor close associates.Our analysis of therelevant passages (Eratosthenes' Platonicus, Sosigenes ap. Simplicius, Proclus' Catalogue of geometers, and Philodemus'History of the Academy,etc.) shows thatthe very tendencyof por- trayingPlato as the architectof sciencegoes back to the earlyAcademy and is bornout of interpretationsof his dialogues. I Plato's relationship to the exact sciences used to be one of the traditional problems in the history of ancient Greek science and philosophy.' From the nineteenth century on it was examined in various aspects, the most significant of which were the historical, philosophical and methodological. In the last century and at the beginning of this century attention was paid peredominantly, although not exclusively, to the first of these aspects, especially to the questions how great Plato's contribution to specific math- ematical research really was, and how reliable our sources are in ascrib- ing to him particular scientific discoveries. -
15 Famous Greek Mathematicians and Their Contributions 1. Euclid
15 Famous Greek Mathematicians and Their Contributions 1. Euclid He was also known as Euclid of Alexandria and referred as the father of geometry deduced the Euclidean geometry. The name has it all, which in Greek means “renowned, glorious”. He worked his entire life in the field of mathematics and made revolutionary contributions to geometry. 2. Pythagoras The famous ‘Pythagoras theorem’, yes the same one we have struggled through in our childhood during our challenging math classes. This genius achieved in his contributions in mathematics and become the father of the theorem of Pythagoras. Born is Samos, Greece and fled off to Egypt and maybe India. This great mathematician is most prominently known for, what else but, for his Pythagoras theorem. 3. Archimedes Archimedes is yet another great talent from the land of the Greek. He thrived for gaining knowledge in mathematical education and made various contributions. He is best known for antiquity and the invention of compound pulleys and screw pump. 4. Thales of Miletus He was the first individual to whom a mathematical discovery was attributed. He’s best known for his work in calculating the heights of pyramids and the distance of the ships from the shore using geometry. 5. Aristotle Aristotle had a diverse knowledge over various areas including mathematics, geology, physics, metaphysics, biology, medicine and psychology. He was a pupil of Plato therefore it’s not a surprise that he had a vast knowledge and made contributions towards Platonism. Tutored Alexander the Great and established a library which aided in the production of hundreds of books. -
Euripides” Johanna Hanink
The Life of the Author in the Letters of “Euripides” Johanna Hanink N 1694, Joshua Barnes, the eccentric British scholar (and poet) of Greek who the next year would become Regius Professor at the University of Cambridge, published his I 1 long-awaited Euripidis quae extant omnia. This was an enormous edition of Euripides’ works which contained every scrap of Euripidean material—dramatic, fragmentary, and biographical —that Barnes had managed to unearth.2 In the course of pre- paring the volume, Barnes had got wind that Richard Bentley believed that the epistles attributed by many ancient manu- scripts to Euripides were spurious; he therefore wrote to Bentley asking him to elucidate the grounds of his doubt. On 22 February 1693, Bentley returned a letter to Barnes in which he firmly declared that, with regard to the ancient epistles, “tis not Euripides himself that here discourseth, but a puny sophist that acts him.” Bentley did, however, recognize that convincing others of this would be a difficult task: “as for arguments to prove [the letters] spurious, perhaps there are none that will convince any person that doth not discover it by himself.”3 1 On the printing of the book and its early distribution see D. McKitterick, A History of Cambridge University Press I Printing and the Book Trade in Cambridge, 1534–1698 (Cambridge 1992) 380–392; on Joshua Barnes see K. L. Haugen, ODNB 3 (2004) 998–1001. 2 C. Collard, Tragedy, Euripides and Euripideans (Bristol 2007) 199–204, re- hearses a number of criticisms of Barnes’ methods, especially concerning his presentation of Euripidean fragments (for which he often gave no source, and which occasionally consisted of lines from the extant plays). -
MONEY and the EARLY GREEK MIND: Homer, Philosophy, Tragedy
This page intentionally left blank MONEY AND THE EARLY GREEK MIND How were the Greeks of the sixth century bc able to invent philosophy and tragedy? In this book Richard Seaford argues that a large part of the answer can be found in another momentous development, the invention and rapid spread of coinage, which produced the first ever thoroughly monetised society. By transforming social relations, monetisation contributed to the ideas of the universe as an impersonal system (presocratic philosophy) and of the individual alienated from his own kin and from the gods (in tragedy). Seaford argues that an important precondition for this monetisation was the Greek practice of animal sacrifice, as represented in Homeric epic, which describes a premonetary world on the point of producing money. This book combines social history, economic anthropology, numismatics and the close reading of literary, inscriptional, and philosophical texts. Questioning the origins and shaping force of Greek philosophy, this is a major book with wide appeal. richard seaford is Professor of Greek Literature at the University of Exeter. He is the author of commentaries on Euripides’ Cyclops (1984) and Bacchae (1996) and of Reciprocity and Ritual: Homer and Tragedy in the Developing City-State (1994). MONEY AND THE EARLY GREEK MIND Homer, Philosophy, Tragedy RICHARD SEAFORD cambridge university press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo Cambridge University Press The Edinburgh Building, Cambridge cb2 2ru, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521832281 © Richard Seaford 2004 This publication is in copyright. -
Chapter Two Democritus and the Different Limits to Divisibility
CHAPTER TWO DEMOCRITUS AND THE DIFFERENT LIMITS TO DIVISIBILITY § 0. Introduction In the previous chapter I tried to give an extensive analysis of the reasoning in and behind the first arguments in the history of philosophy in which problems of continuity and infinite divisibility emerged. The impact of these arguments must have been enormous. Designed to show that rationally speaking one was better off with an Eleatic universe without plurality and without motion, Zeno’s paradoxes were a challenge to everyone who wanted to salvage at least those two basic features of the world of common sense. On the other hand, sceptics, for whatever reason weary of common sense, could employ Zeno-style arguments to keep up the pressure. The most notable representative of the latter group is Gorgias, who in his book On not-being or On nature referred to ‘Zeno’s argument’, presumably in a demonstration that what is without body and does not have parts, is not. It is possible that this followed an earlier argument of his that whatever is one, must be without body.1 We recognize here what Aristotle calls Zeno’s principle, that what does not have bulk or size, is not. Also in the following we meet familiar Zenonian themes: Further, if it moves and shifts [as] one, what is, is divided, not being continuous, and there [it is] not something. Hence, if it moves everywhere, it is divided everywhere. But if that is the case, then everywhere it is not. For it is there deprived of being, he says, where it is divided, instead of ‘void’ using ‘being divided’.2 Gorgias is talking here about the situation that there is motion within what is. -
DIOGENES of SINOPE Diogenes of Sinope (C
DIOGENES OF SINOPE Diogenes of Sinope (c. 412‐323 BC), a contemporary of Plato and Aristotle, is considered the founder of the philosophical school of Cynicism. Concerned more with action than with words, he left no writings. What we know of his thought is what has been related to us by contempo‐ raries and later scholars. The most extensive account is from Diogenes Laertes, writing almost 500 years after Diogenes lived. LIFE OF DIOGENES OF SINOPE, THE CYNIC (404‐323 BC) RD BY DIOGENES LAERTIUS (3 CENTURY AD) Diogenes was a native of Sinope, son of Hicesius, a banker. Diocles relates that he went into exile because his father was entrusted with the money of the state and adulterated the coin‐ age. But Eubulides in his book on Diogenes says that Diogenes himself did this and was forced to leave home along with his father. Moreover Diogenes himself actually confesses in his Porde‐ lus that he adulterated the coinage. Some say that having been appointed to superintend the workmen he was persuaded by them, and that he went to Delphi or to the Delian oracle in his own city and inquired of Apollo whether he should do what he was urged to do. When the god gave him permission to alter the political currency, not understanding what this meant, he adulterated the state coinage, and when he was detected, according to some he was banished, while according to others he voluntarily quitted the city for fear of consequences. One version is that his father entrusted him with the money and that he debased it, in consequence of which the father was imprisoned and died, while the son fled, came to Delphi, and inquired, not whether he should falsify the coinage, but what he should do to gain the greatest reputation; and that then it was that he received the oracle.