The third and second centuries BC witnessed, in the Greek world, a scientific and technological explosion. In the age of Archimedes and Euclid, science as we know it was born, and gave rise to sophisticated technology that would not be seen again until the 18th century. What were the landmarks in the meteoric rise of science 2300 years ago? Why are they so little known today, even among scientists, classicists and historians? How do they relate to the post-1500 science that we are familiar with from school? These are the questions that this book discusses, in the belief that the answers bear on choices we face today.

1 The Birth of Science.- 1.1 The Erasure of the Scientific Revolution.- 1.2 On theWord "Hellenistic".- 1.3 Science.- 1.4 Was There Science in Classical Greece?.- 1.5 Origins of Hellenistic Science.- 2 Hellenistic Mathematics.- 2.1 Precursors of Mathematical Science.- 2.2 Euclid's Hypothetico-Deductive Method.- 2.3 Geometry and Computational Aids.- 2.4 Discrete Mathematics and the Notion of Infinity.- 2.5 Continuous Mathematics.- 2.6 Euclid and His Predecessors.- 2.7 An Application of the "Method of Exhaustion".- 2.8 Trigonometry and Spherical Geometry.- 3 Other Hellenistic Scientific Theories.- 3.1 Optics, Scenography and Catoptrics.- 3.2 Geodesy and Mathematical Geography.- 3.3 Mechanics.- 3.4 Hydrostatics.- 3.5 Pneumatics.- 3.6 Aristarchus, Heliocentrism, and Relative Motion.- 3.7 From the Closed World to the Infinite Universe.- 3.8 Ptolemaic Astronomy.- 4 Scientific Technology.- 4.1 Mechanical Engineering.- 4.2 Instrumentation.- 4.3 Military Technology.- 4.4 Sailing and Navigation.- 4.5 Naval Architecture. The Pharos.- 4.6 Hydraulic and Pneumatic Engineering.- 4.7 Use of Natural Power.- 4.8 The Antikythera Mechanism.- 4.9 Heron'sRole.- 4.10 The Lost Technology.- 5 Medicine and Other Empirical Sciences.- 5.1 The Birth of Anatomy and Physiology.- 5.2 Relationship Between Medicine and Exact Sciences.- 5.3 Anatomical Terminology and the Screw Press.- 5.4 The Scientific Method in Medicine.- 5.5 Development and End of Scientific Medicine.- 5.6 Botany and Zoology.- 5.7 Chemistry.- 6 The Hellenistic Scientific Method.- 6.1 Origins of Scientific Demonstration.- 6.2 Postulates or Hypotheses.- 6.3 Saving the Phainomena.- 6.4 Definitions, Scientific Terms and Theoretical Entities.- 6.5 Episteme and Techne.- 6.6 Postulates and the Meaning of "Mathematics" and"Physics".- 6.7 Hellenistic Science and Experimental Method.- 6.8 Science and Orality.- 6.9 Where Do Clichés about "Ancient Science" Come From?.- 7 Some Other Aspects of the Scientific Revolution.- 7.1 Urban Planning.- 7.2 Conscious and Unconscious Cultural Evolution.- 7.3 The Theory of Dreams.- 7.4 Propositional Logic.- 7.5 Philological and Linguistic Studies.- 7.6 The Figurative Arts, Literature and Music.- 8 The Decadence and End of Science.- 8.1 The Crisis in Hellenistic Science.- 8.2 Rome, Science and Scientific Technology.- 8.3 The End of Ancient Science.- 9 Science, Technology and Economy.- 9.1 Modernism and Primitivism.- 9.2 Scientific and Technological Policy.- 9.3 Economic Growth and Innovation in Agriculture.- 9.4 Nonagricultural Technology and Production.- 9.5 The Role of the City in the Ancient World.- 9.6 The Nature of the Ancient Economy.- 9.7 Ancient Science and Production.- 10 Lost Science.- 10.1 Lost Optics.- 10.2 Eratosthenes' Measurement of the Meridian.- 10.3 Determinism, Chance and Atoms.- 10.4 Combinatorics and Logic.- 10.5 Ptolemy and Hellenistic Astronomy.- 10.6 The Moon, the Sling and Hipparchus.- 10.7 A Passage of Seneca.- 10.8 Rays of Darkness and Triangular Rays.- 10.9 The Idea of Gravity after Aristotle.- 10.10 Tides.- 10.11 The Shape of the Earth: Sling or Ellipsoid?.- 10.12 Seleucus and the Proof of Heliocentrism.- 10.13 Precession, Comets, etc..- 10.14 Ptolemy and Theon of Smyrna.- 10.15 The First Few Definitions in the Elements.- 11 The Age-Long Recovery.- 11.1 The Early Renaissances.- 11.2 The Renaissance.- 11.3 The Rediscovery of Optics in Europe.- 11.4 A Late Disciple of Archimedes.- 11.5 Two Modern Scientists: Kepler and Descartes.- 11.6 Terrestrial Motion, Tides and Gravitation.- 11.7 Newton's Natural Philosophy.-11.8 The Rift Between Mathematics and Physics.- 11.9 Ancient Science and Modern Science.- 11.10 The Erasure of Ancient Science.- 11.11 Recovery and Crisis of Scientific Methodology.- List of Passages.- References.- General Index.