A History of Science, Volume I, the Beginnings of Science

Total Page:16

File Type:pdf, Size:1020Kb

A History of Science, Volume I, the Beginnings of Science A History of Science, Volume I, The Beginnings of Science Henry Smith Williams, M.D., LL.D., assisted by Edward H. Williams, M.D. This public domain (U.S.) text was scanned by Charles Keller with OmniPage Professional OCR software. The Project Gutenberg edition (“1hsci10”) was subsequently converted to LATEX by means of GutenMark software (ver- sion Jan 5 2003), and modified (principally to correct formatting problems) by Ron Burkey. Numbered endnotes have been replaced with footnotes, to conform to the style of other books at sandroid.org. Greek text, which had been transliterated into latin characters, has been transliterated back into greek charac- ters; the result of the double transliteration, I am sure, is highly inaccurate. Report errors to [email protected]. Rev. A, 02/16/03. Proofing completed. Rev. B, 02/22/03. Various formatting correc- tions were made. Missing illustrations were added from independent online sources. Illustrations (possibly) scanned by S. A. Cohen. Rev. C, 03/01/03. Some illustrations were ro- tated to correct for scanning errors, and one was redrawn. Many ligatures were corrected. Contents FOREWORD 1 I. PREHISTORIC SCIENCE 5 II. EGYPTIAN SCIENCE 35 ASTRONOMICAL SCIENCE . 46 IDEAS OF COSMOLOGY . 57 CHARMS AND INCANTATIONS . 64 ABSTRACT SCIENCE . 73 III. SCIENCE OF BABYLONIA AND ASSYRIA 79 BABYLONIAN ASTRONOMY . 87 ASTROLOGY . 95 CHALDEAN MAGIC . 101 BABYLONIAN MEDICINE . 109 ESTIMATES OF BABYLONIAN SCIENCE . 112 IV. THE DEVELOPMENT OF THE ALPHABET 127 FIRST STEPS . 133 i ii EGYPTIAN WRITING . 136 BABYLONIAN WRITING . 140 THE ALPHABET ACHIEVED . 147 V. THE BEGINNINGS OF GREEK SCIENCE 153 VI. THE EARLY GREEK PHILOSOPHERS IN ITALY 165 XENOPHANES AND PARMENIDES . 187 EMPEDOCLES . 194 VII. GREEK SCIENCE IN THE EARLY ATTIC PERIOD 203 ANAXAGORAS . 205 Anaxagoras as Meteorologist . 218 Biological Speculations . 220 Physical Speculations . 222 LEUCIPPUS AND DEMOCRITUS . 231 HIPPOCRATES AND GREEK MEDICINE . 243 VIII. POST-SOCRATIC SCIENCE AT ATHENS—PLATO, ARISTOTLE, AND THEOPHRASTUS 253 ARISTOTLE (384-322 B.C.) . 260 IX. GREEK SCIENCE OF THE ALEXANDRIAN OR HELLENISTIC PERIOD 269 EUCLID (ABOUT 300 B.C.) . 274 HEROPHILUS AND ERASISTRATUS . 275 iii ARCHIMEDES OF SYRACUSE AND THE FOUNDATION OF MECHANICS . 279 ARISTARCHUS OF SAMOS, THE COPERNICUS OF ANTIQUITY . 303 ERATOSTHENES, “THE SURVEYOR OF THE WORLD” . 321 HIPPARCHUS, “THE LOVER OF TRUTH” . 331 CTESIBIUS AND HERO: MAGICIANS OF ALEXANDRIA . 344 X. SCIENCE OF THE ROMAN PERIOD 361 STRABO THE GEOGRAPHER . 365 TWO FAMOUS EXPOSITORS— PLINY AND PTOLEMY . 378 PTOLEMY, THE LAST GREAT ASTRONOMER OF ANTIQUITY . 382 GALEN—THE LAST GREAT ALEXANDRIAN . 389 XI. A RETROSPECTIVE GLANCE AT CLASSICAL SCIENCE 407 APPENDIX: NOTES 427 iv FOREWORD Should the story that is about to be unfolded be found to lack interest, the writers must stand convicted of unpardonable lack of art. Nothing but dulness in the telling could mar the story, for in itself it is the record of the growth of those ideas that have made our race and its civilization what they are; of ideas in- stinct with human interest, vital with mean- ing for our race; fundamental in their influ- ence on human development; part and parcel of the mechanism of human thought on the one hand, and of practical civilization on the other. Such a phrase as “fundamental princi- ples” may seem at first thought a hard saying, but the idea it implies is less repellent than the phrase itself, for the fundamental prin- ciples in question are so closely linked with the present interests of every one of us that they lie within the grasp of every average man and woman—nay, of every well-developed boy and girl. These principles are not merely the 1 2 A HISTORY OF SCIENCE, BOOK I stepping-stones to culture, the prerequisites of knowledge—they are, in themselves, an es- sential part of the knowledge of every culti- vated person. It is our task, not merely to show what these principles are, but to point out how they have been discovered by our predecessors. We shall trace the growth of these ideas from their first vague beginnings. We shall see how vagueness of thought gave way to precision; how a general truth, once grasped and for- mulated, was found to be a stepping-stone to other truths. We shall see that there are no isolated facts, no isolated principles, in na- ture; that each part of our story is linked by indissoluble bands with that which goes be- fore, and with that which comes after. For the most part the discovery of this principle or that in a given sequence is no accident. Galileo and Keppler must precede Newton. Cuvier and Lyall must come before Darwin;— Which, after all, is no more than saying that in our Temple of Science, as in any other piece of architecture, the foundation must precede the superstructure. We shall best understand our story of the growth of science if we think of each new principle as a stepping-stone which must fit into its own particular niche; and if we re- flect that the entire structure of modern civ- FOREWORD 3 ilization would be different from what it is, and less perfect than it is, had not that par- ticular stepping-stone been found and shaped and placed in position. Taken as a whole, our stepping-stones lead us up and up towards the alluring heights of an acropolis of knowledge, on which stands the Temple of Modern Sci- ence. The story of the building of this wonder- ful structure is in itself fascinating and beau- tiful. 4 A HISTORY OF SCIENCE, BOOK I I. PREHISTORIC SCIENCE To speak of a prehistoric science may seem like a contradiction of terms. The word pre- historic seems to imply barbarism, while sci- ence, clearly enough, seems the outgrowth of civilization; but rightly considered, there is no contradiction. For, on the one hand, man had ceased to be a barbarian long before the be- ginning of what we call the historical period; and, on the other hand, science, of a kind, is no less a precursor and a cause of civilization than it is a consequent. To get this clearly in mind, we must ask ourselves: What, then, is science? The word runs glibly enough upon the tongue of our every-day speech, but it is not often, perhaps, that they who use it habit- ually ask themselves just what it means. Yet the answer is not difficult. A little attention will show that science, as the word is com- monly used, implies these things: first, the 5 6 A HISTORY OF SCIENCE, BOOK I gathering of knowledge through observation; second, the classification of such knowledge, and through this classification, the elabora- tion of general ideas or principles. In the fa- miliar definition of Herbert Spencer, science is organized knowledge. Now it is patent enough, at first glance, that the veriest savage must have been an ob- server of the phenomena of nature. But it may not be so obvious that he must also have been a classifier of his observations—an organizer of knowledge. Yet the more we consider the case, the more clear it will become that the two methods are too closely linked together to be dissevered. To observe outside phenom- ena is not more inherent in the nature of the mind than to draw inferences from these phe- nomena. A deer passing through the forest scents the ground and detects a certain odor. A sequence of ideas is generated in the mind of the deer. Nothing in the deer’s experience can produce that odor but a wolf; therefore the scientific inference is drawn that wolves have passed that way. But it is a part of the deer’s scientific knowledge, based on previous experience, individual and racial, that wolves are dangerous beasts; and so, combining di- rect observation in the present with the appli- cation of a general principle based on past ex- perience, the deer reaches the very logical con- I. PREHISTORIC SCIENCE 7 clusion that it may wisely turn about and run in another direction. All this implies, essen- tially, a comprehension and use of scientific principles; and, strange as it seems to speak of a deer as possessing scientific knowledge, yet there is really no absurdity in the state- ment. The deer does possess scientific knowl- edge; knowledge differing in degree only, not in kind, from the knowledge of a Newton. Nor is the animal, within the range of its intel- ligence, less logical, less scientific in the ap- plication of that knowledge, than is the man. The animal that could not make accurate sci- entific observations of its surroundings, and deduce accurate scientific conclusions from them, would soon pay the penalty of its lack of logic. What is true of man’s precursors in the an- imal scale is, of course, true in a wider and fuller sense of man himself at the very lowest stage of his development. Ages before the time which the limitations of our knowledge force us to speak of as the dawn of history, man had reached a high stage of development. As a so- cial being, he had developed all the elements of a primitive civilization. If, for convenience of classification, we speak of his state as sav- age, or barbaric, we use terms which, after all, are relative, and which do not shut off our primitive ancestors from a tolerably close as- 8 A HISTORY OF SCIENCE, BOOK I sociation with our own ideals. We know that, even in the Stone Age, man had learned how to domesticate animals and make them use- ful to him, and that he had also learned to cultivate the soil.
Recommended publications
  • The History of Egypt Under the Ptolemies
    UC-NRLF $C lb EbE THE HISTORY OF EGYPT THE PTOLEMIES. BY SAMUEL SHARPE. LONDON: EDWARD MOXON, DOVER STREET. 1838. 65 Printed by Arthur Taylor, Coleman Street. TO THE READER. The Author has given neither the arguments nor the whole of the authorities on which the sketch of the earlier history in the Introduction rests, as it would have had too much of the dryness of an antiquarian enquiry, and as he has already published them in his Early History of Egypt. In the rest of the book he has in every case pointed out in the margin the sources from which he has drawn his information. » Canonbury, 12th November, 1838. Works published by the same Author. The EARLY HISTORY of EGYPT, from the Old Testament, Herodotus, Manetho, and the Hieroglyphieal Inscriptions. EGYPTIAN INSCRIPTIONS, from the British Museum and other sources. Sixty Plates in folio. Rudiments of a VOCABULARY of EGYPTIAN HIEROGLYPHICS. M451 42 ERRATA. Page 103, line 23, for Syria read Macedonia. Page 104, line 4, for Syrians read Macedonians. CONTENTS. Introduction. Abraham : shepherd kings : Joseph : kings of Thebes : era ofMenophres, exodus of the Jews, Rameses the Great, buildings, conquests, popu- lation, mines: Shishank, B.C. 970: Solomon: kings of Tanis : Bocchoris of Sais : kings of Ethiopia, B. c. 730 .- kings ofSais : Africa is sailed round, Greek mercenaries and settlers, Solon and Pythagoras : Persian conquest, B.C. 525 .- Inarus rebels : Herodotus and Hellanicus : Amyrtaus, Nectanebo : Eudoxus, Chrysippus, and Plato : Alexander the Great : oasis of Ammon, native judges,
    [Show full text]
  • Water, Air and Fire at Work in Hero's Machines
    Water, air and fire at work in Hero’s machines Amelia Carolina Sparavigna Dipartimento di Fisica, Politecnico di Torino Corso Duca degli Abruzzi 24, Torino, Italy Known as the Michanikos, Hero of Alexandria is considered the inventor of the world's first steam engine and of many other sophisticated devices. Here we discuss three of them as described in his book “Pneumatica”. These machines, working with water, air and fire, are clear examples of the deep knowledge of fluid dynamics reached by the Hellenistic scientists. Hero of Alexandria, known as the Mechanicos, lived during the first century in the Roman Egypt [1]. He was probably a Greek mathematician and engineer who resided in the city of Alexandria. We know his work from some of writings and designs that have been arrived nowadays in their Greek original or in Arabic translations. From his own writings, it is possible to gather that he knew the works of Archimedes and of Philo the Byzantian, who was a contemporary of Ctesibius [2]. It is almost certain that Heron taught at the Museum, a college for combined philosophy and literary studies and a religious place of cult of Muses, that included the famous Library. For this reason, Hero claimed himself a pupil of Ctesibius, who was probably the first head of the Museum of Alexandria. Most of Hero’s writings appear as lecture notes for courses in mathematics, mechanics, physics and pneumatics [2]. In optics, Hero formulated the Principle of the Shortest Path of Light, principle telling that if a ray of light propagates from a point to another one within the same medium, the followed path is the shortest possible.
    [Show full text]
  • The Mechanical Problems in the Corpus of Aristotle
    University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Faculty Publications, Classics and Religious Studies Department Classics and Religious Studies July 2007 The Mechanical Problems in the Corpus of Aristotle Thomas Nelson Winter University of Nebraska-Lincoln, [email protected] Follow this and additional works at: https://digitalcommons.unl.edu/classicsfacpub Part of the Classics Commons Winter, Thomas Nelson, "The Mechanical Problems in the Corpus of Aristotle" (2007). Faculty Publications, Classics and Religious Studies Department. 68. https://digitalcommons.unl.edu/classicsfacpub/68 This Article is brought to you for free and open access by the Classics and Religious Studies at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Faculty Publications, Classics and Religious Studies Department by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. Th e Mechanical Problems in the Corpus of Aristotle Th omas N. Winter Lincoln, Nebraska • 2007 Translator’s Preface. Who Wrote the Mechanical Problems in the Aristotelian Corpus? When I was translating the Mechanical Problems, which I did from the TLG Greek text, I was still in the fundamentalist authorship mode: that it survives in the corpus of Aristotle was then for me prima facie Th is paper will: evidence that Aristotle was the author. And at many places I found in- 1) off er the plainest evidence yet that it is not Aristotle, and — 1 dications that the date of the work was apt for Aristotle. But eventually, 2) name an author. I saw a join in Vitruvius, as in the brief summary below, “Who Wrote Th at it is not Aristotle does not, so far, rest on evidence.
    [Show full text]
  • From Ancient Greece to Byzantium
    Proceedings of the European Control Conference 2007 TuA07.4 Kos, Greece, July 2-5, 2007 Technology and Autonomous Mechanisms in the Mediterranean: From Ancient Greece to Byzantium K. P. Valavanis, G. J. Vachtsevanos, P. J. Antsaklis Abstract – The paper aims at presenting each period are then provided followed by technology and automation advances in the accomplishments in automatic control and the ancient Greek World, offering evidence that transition from the ancient Greek world to the Greco- feedback control as a discipline dates back more Roman era and the Byzantium. than twenty five centuries. II. CHRONOLOGICAL MAP OF SCIENCE & TECHNOLOGY I. INTRODUCTION It is worth noting that there was an initial phase of The paper objective is to present historical evidence imported influences in the development of ancient of achievements in science, technology and the Greek technology that reached the Greek states from making of automation in the ancient Greek world until the East (Persia, Babylon and Mesopotamia) and th the era of Byzantium and that the main driving force practiced by the Greeks up until the 6 century B.C. It behind Greek science [16] - [18] has been curiosity and was at the time of Thales of Miletus (circa 585 B.C.), desire for knowledge followed by the study of nature. when a very significant change occurred. A new and When focusing on the discipline of feedback control, exclusively Greek activity began to dominate any James Watt’s Flyball Governor (1769) may be inherited technology, called science. In subsequent considered as one of the earliest feedback control centuries, technology itself became more productive, devices of the modern era.
    [Show full text]
  • Table of Contents More Information
    Cambridge University Press 978-0-521-76376-9 - The Mechanical Hypothesis in Ancient Greek Natural Philosophy Sylvia Berryman Table of Contents More information Contents List of illustrations page vii Acknowledgements viii Introduction 1 1 Mechanics and the mechanical: some problems of terminology 9 The critics of prevailing usage 11 Some candidate definitions of the ‘mechanistic’ 15 2 ‘Mechanistic’ thought before mechanics? 21 Divine versus human technology 24 Working artifacts before the fourth century 29 Ancient atomism and the machine analogy 34 The ‘shortfalls’ of ancient technology 39 The ‘exclusion’ of ancient mechanics 43 3 Mechanics in the fourth century 54 The scope of ancient Greek mechanics 55 Archytas and the foundation of mechanics 87 Aristotle’s ‘mechanics’ of motion 97 Conclusion 104 4 The theory and practice of ancient Greek mechanics 105 The Aristotelian Mechanica 106 Ctesibius 115 Archimedes 117 Philo of Byzantium 123 v © Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-76376-9 - The Mechanical Hypothesis in Ancient Greek Natural Philosophy Sylvia Berryman Table of Contents More information vi Contents Vitruvius 130 Hero of Alexandria 134 Pappus of Alexandria 143 Models of the heavens 146 5 Ancient Greek mechanics continued: the case of pneumatics 155 Pneumatic technology in the post-classical period 157 Ancient Greek pneumatic theory 165 The status of mechanics revisited: natural or artificial? 170 6 The philosophical reception of mechanics in antiquity 177 Mechanical theory in natural philosophy 179 The theory of pneumatics in natural philosophy 191 Pneumatics and medical theory 197 Working artifacts and the notion of a self-mover 201 Mechanical analogies for the functioning of organisms 205 Working artifacts in astronomy 216 Mechanical analogies in cosmology 220 Conclusion 231 Appendix: Ancient mechanics and the mechanical in the seventeenth century 236 Bibliography 250 Index of passages 274 General index 282 © Cambridge University Press www.cambridge.org.
    [Show full text]
  • Queen Arsinoë II, the Maritime Aphrodite and Early Ptolemaic Ruler Cult
    ΑΡΣΙΝΟΗ ΕΥΠΛΟΙΑ Queen Arsinoë II, the Maritime Aphrodite and Early Ptolemaic Ruler Cult Carlos Francis Robinson Bachelor of Arts (Hons. 1) A thesis submitted for the degree of Master of Philosophy at The University of Queensland in 2019 Historical and Philosophical Inquiry Abstract Queen Arsinoë II, the Maritime Aphrodite and Early Ptolemaic Ruler Cult By the early Hellenistic period a trend was emerging in which royal women were deified as Aphrodite. In a unique innovation, Queen Arsinoë II of Egypt (c. 316 – 270 BC) was deified as the maritime Aphrodite, and was associated with the cult titles Euploia, Akraia, and Galenaië. It was the important study of Robert (1966) which identified that the poets Posidippus and Callimachus were honouring Arsinoë II as the maritime Aphrodite. This thesis examines how this new third-century BC cult of ‘Arsinoë Aphrodite’ adopted aspects of Greek cults of the maritime Aphrodite, creating a new derivative cult. The main historical sources for this cult are the epigrams of Posidippus and Callimachus, including a relatively new epigram (Posidippus AB 39) published in 2001. This thesis demonstrates that the new cult of Arsinoë Aphrodite utilised existing traditions, such as: Aphrodite’s role as patron of fleets, the practice of dedications to Aphrodite by admirals, the use of invocations before sailing, and the practice of marine dedications such as shells. In this way the Ptolemies incorporated existing religious traditions into a new form of ruler cult. This study is the first attempt to trace the direct relationship between Ptolemaic ruler cult and existing traditions of the maritime Aphrodite, and deepens our understanding of the strategies of ruler cult adopted in the early Hellenistic period.
    [Show full text]
  • A Short History of Greek Mathematics
    Cambridge Library Co ll e C t i o n Books of enduring scholarly value Classics From the Renaissance to the nineteenth century, Latin and Greek were compulsory subjects in almost all European universities, and most early modern scholars published their research and conducted international correspondence in Latin. Latin had continued in use in Western Europe long after the fall of the Roman empire as the lingua franca of the educated classes and of law, diplomacy, religion and university teaching. The flight of Greek scholars to the West after the fall of Constantinople in 1453 gave impetus to the study of ancient Greek literature and the Greek New Testament. Eventually, just as nineteenth-century reforms of university curricula were beginning to erode this ascendancy, developments in textual criticism and linguistic analysis, and new ways of studying ancient societies, especially archaeology, led to renewed enthusiasm for the Classics. This collection offers works of criticism, interpretation and synthesis by the outstanding scholars of the nineteenth century. A Short History of Greek Mathematics James Gow’s Short History of Greek Mathematics (1884) provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid, Archimedes and many others, the Short History offers in-depth analysis and useful translations of individual texts as well as a broad historical overview of the development of mathematics. Parts I and II concern Greek arithmetic, including the origin of alphabetic numerals and the nomenclature for operations; Part III constitutes a complete history of Greek geometry, from its earliest precursors in Egypt and Babylon through to the innovations of the Ionic, Sophistic, and Academic schools and their followers.
    [Show full text]
  • 6 X 10. Three Lines .P65
    Cambridge University Press 978-0-521-83746-0 - Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King Carl A. Huffman Index More information Select index of Greek words and phrases discussed in the text delf»v/delf, 64, 123, 125, 154 galnh, 66, 75, 491, 494–500, 504–05, 515 kanqa, 341 gr, 122–23 ll»triov, 194–95 gewmetrw, 567 nagka©wv, 396 gewmetrik, 232–33, 244 ndocov, 39–40 gewmetrik»v, 244 na©sqhtov, 449 nakmptw, 538 de»menoi, 217–18 naklw, 476–77 dicr»nou , 291 nakÅptw, 322 diagignÛskw, 58–59, 149–51 nalog©a, 179–81, 503, 529–37, 538; toÓ ­sou, diagnÛmen, xiv, 149 529–37 dignwsiv, 58–59, 149–51 nlogon, 179 digramma, 396, 566 namon, 291 d©aita, partn d©aitan , 300–01 nastrof, 123, 155 diallttw, 215 nepistmwn, 193–94 disthma, 166–67, 169, 181, 458 n»moiov, tn»moia , 436, 441–43 diatrib, 228–32 ntere©dw, 561 dunmenoi, 217–18 ntreisma, 297 dÅnamiv, 446 nt©lhyiv, 451 dusmcanov, 79, 348, 375, 379 nÛmalov, 513–15 nwmal»thv, 513 gg©gnomai, 539 »ristov, 511 e²dov, 93, 123, 226, 238, 250–51, 567; pqeia, 600, 603 (prÛtiston), 122 pantizw, 113, 156 e«kÛn, 601 planv, 542–43 kle©pw, 247 podeiktikäv, 375, 379 mp»diov, 335 p»deixiv, 71, 232, 237–38, mfusw, 113, 160 248–49 n aÉt, 222 podcomai, 503–04 nant©ov, 445 porov, 195 nargv, 71, 233, 236–37, 238, 246–47 pofrssw, 160 narm»zw, 351 riqmhtik, 240–44 xeur©skw, 193, 195, 196–200, 202 rmon©a, tperª tn rmon©an , 565 peiskwmzw, 314, 322 rc, 358, 500, 502, 598 piqumhtik»v, 93 rc kaª mhtr»poliv, 69 p©stamai, 196–200 %rcÅtav, 619 pistmwn, 193–94 stronomik»v, 244 pistthv, 389 aÎxh, 80, 386 pitelw, 72, 237–38, 247, 249 aÉt¼v fa, 55 pitmnw, 587 stÛ, 96 banausourg©a, 380 scatov oÉran»v, 87 638 © Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-83746-0 - Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King Carl A.
    [Show full text]
  • What the World Would Be Without Inventions?
    What the world would be without inventions? GREEK INVENTORS THROUGH TIME “The introduction of noble inventions seems to hold by far the most excellent place among human actions” ~ Francis Bacon 7 Greek inventors through time • Archimides • Euclid • Pythagoras • Thucydides • Ctesibius of Alexandria • Constantin Carathéodory • George Papanikolaou Archimides, the great mathematician and inventor of the “Archimides principle” GREEK INVENTORS I Archimedes of Syracuse (Ancient Greek: Ἀρχιμήδης [ar.kʰi.mɛː.dɛ̂ːs]; c . 287 – c. 212 BC) was a Greek mathematician, physicist, en gineer, inventor, and astronomer. He is regarded as one of the leading scientists in classical antiquity. Considered to be the greatest mathematician of ancient history, and one of the greatest of all time, Archimedes anticipated modern calculus and analysis by applying concepts of infinitesimals and the method of exhaustion to derive and rigorously prove a range of geometrical theorems, including: the area of a circle; the surface area and volume of a sphere; area of an ellipse; the area under a parabola; the volume of a segment of a paraboloid of revolution; the volume of a segment of a hyperboloid of revolution; and the area of a spiral. His other mathematical achievements include deriving an accurate approximation of pi; defining and investigating the spiral that now bears his name; and creating a system using exponentiation for expressing very large numbers. He was also one of the first to apply mathematics to physical phenomena, founding hydrostatics and statics, including an explanation of the principle of the lever. He is credited with designing innovative machines, such as his screw pump, compound pulleys, and defensive war machines to protect his native Syracuse from invasion.
    [Show full text]
  • Hess-2021-7.Pdf
    https://doi.org/10.5194/hess-2021-7 Preprint. Discussion started: 12 January 2021 c Author(s) 2021. CC BY 4.0 License. From mythology to science: the development of scientific hydrological concepts in the Greek antiquity and its relevance to modern hydrology Demetris Koutsoyiannis* and Nikos Mamassis Department of Water Resources and Environmental Engineering, School of Civil Engineering, National Technical 5 University of Athens, Heroon Polytechneiou 5, GR 157 80 Zographou, Greece * Corresponding author: [email protected] Abstract. Whilst hydrology is a Greek term, it has not been in use in the Classical literature but much later, during the Renaissance, in its Latin version, hydrologia. On the other hand, Greek natural philosophers created robust knowledge in related scientific areas, to which they gave names such as meteorology, climate and hydraulics. These terms are now in 10 common use internationally. Within these areas, Greek natural philosophers laid the foundation of hydrological concepts and the hydrological cycle in its entirety. Knowledge development was brought about by search for technological solutions to practical problems, as well as by scientific curiosity to explain natural phenomena. While initial explanations belong to the sphere of mythology, the rise of philosophy was accompanied by attempts to provide scientific descriptions of the phenomena. It appears that the first geophysical problem formulated in scientific terms was the explanation of the flood regime of the Nile, 15 then regarded as a paradox because of the spectacular difference from the river flow regime in Greece and other Mediterranean regions, i.e., the fact that the Nile flooding occurs in summer when in most of the Mediterranean the rainfall is very low.
    [Show full text]
  • Technē and Method in Ancient Artillery Construction: the Belopoeica of Philo of Byzantium
    Mark J. Schiefsky Technē and Method in Ancient Artillery Construction: The Belopoeica of Philo of Byzantium Abstract: In his Belopoeica, Philo of Byzantium presents artillery construction (belopoiikē) as a kind of expertise or technē that possesses a standardized meth- od for attaining success. I describe this method, which consists of a set of pro- cedures and rules that are systematically organized on the basis of general prin- ciples, and discuss Philo’s claim that its discovery depended crucially on experience (peira). In the second part of the Belopoeica Philo presents several designs for artillery engines that allegedly improve on the standard method. I discuss these designs, which draw on both natural philosophy and theoretical mechanics, and conclude with a brief attempt to place Philo’s picture of artillery construction as a technē involving both experience and theory in the context of roughly contemporary views of technē in philosophy and medicine. Introduction From the fourth century b.c. to the end of Antiquity, the discipline of artillery construction (belopoiikē) was one of the most important and highly developed types of professional expertise (technē) in the ancient Greco-Roman world.¹ Start- ing from the traditional bow, Greek engineers devised a wide array of mechanical shooting devices, weapons which had a significant impact on the course of his- tory. The development of this technology was fostered by royal patronage and carried out by communities of practitioners working in major cultural and polit- ical centers such as Alexandria and Rhodes. These practitioners had a high sense As is well known, the Greek term technē has no single English equivalent.
    [Show full text]
  • Ancient Greek Mathēmata from a Sociological Perspective
    Ancient Greek Mathēmata from a Sociological Perspective: A Quantitative Analysis Leonid Zhmud, Institute for the History of Science and Technology, St. Petersburg Alexei Kouprianov, National Research University–Higher School of Economics, St. Petersburg Abstract: This essay examines the quantitative aspects of Greco-Roman science, represented by a group of established disciplines that since the fourth century B.C.E. had been called mathēmata or mathēmatikai epistēmai. Among the mathēmata, which in antiquity normally comprised mathematics, mathematical astronomy, harmonics, mechanics, and optics, the essay also includes geography. Using a data set based on The Encyclopaedia of Ancient Natural Scientists, it considers a com- munity of mathēmatikoi (as they called themselves), or ancient scientists (as they are defined for the purposes of this essay), from a sociological point of view, fo- cusing on the size of the scientific population known to us and its disciplinary, temporal, and geographical distribution. A diachronic comparison of neighboring and partly overlapping communities—ancient scientists and philosophers—allows the pattern of their interrelationship to be traced. An examination of centers of sci- ence throughout ancient history reveals that there were five major sites—Athens, Al- exandria, Rhodes, Rome, and Byzantium/Constantinople—that appeared, in suc- cession, as leaders. These conclusions serve to reopen the issue of the place of mathēmata and mathēmatikoi in ancient society. he historiography of ancient Greek science is nearly as old as its subject. The earliest T known writings on the history of mathematics and astronomy belong to Eudemus of Rhodes, a pupil of Aristotle. When, after a long period of decline and oblivion in medieval Europe, the sciences were revived, it was ancient Greek science that became the primary sub- ject of Renaissance and early modern studies in the history of science.
    [Show full text]