The Exact Sciences In Antiquity

Based on a series of lectures delivered at Cornell University in the fall of 1949, and since revised, this is the standard non-technical coverage of Egyptian and Babylonian mathematics and astronomy, and their transmission to the Hellenistic world. Entirely modern in its data and conclusions, it reveals the surprising sophistication of certain areas of early science, particularly Babylonian mathematics. After a discussion of the number systems used in the ancient Near East (contrasting the Egyptian method of additive computations with unit fractions and Babylonian place values), Dr. Neugebauer covers Babylonian tables for numerical computation, approximations of the square root of 2 (with implications that the Pythagorean Theorem was known more than a thousand years before Pythagoras), Pythagorean numbers, quadratic equations with two unknowns, special cases of logarithms and various other algebraic and geometric cases. Babylonian strength in algebraic and numerical work reveals a level of mathematical development in many aspects comparable to the mathematics of the early Renaissance in Europe. This is in contrast to the relatively primitive Egyptian mathematics. In the realm of astronomy, too, Dr. Neugebauer describes an unexpected sophistication, which is interpreted less as the result of millennia of observations (as used to be the interpretation) than as a competent mathematical apparatus. The transmission of this early science and its further development in Hellenistic times is also described. An Appendix discusses certain aspects of Greek astronomy and the indebtedness of the Copernican system to Ptolemaic and Islamic methods. Dr. Neugebauer has long enjoyed an international reputation as one of the foremost workers in the area of premodern science. Many of his discoveries have revolutionized earlier understandings. In this volume he presents a non-technical survey, with much material unique on this level, which can be read with great profit by all interested in the history of science or history of culture. 14 plates. 52 figures.

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The history of science, especially that of Mathematics, has functioned objectively, that is, regardless of the intentions of historians, in a way that indirectly affects existing patterns, as well as the direction of general developments. It is therefore the dominant narrative about the past that is mainly disseminated to the public. This very narrative is sometimes used to serve aspirations and produce corresponding ideological, cultural as well as ultimately political results, to demolish patterns and promote others. Moreover, the prevailing patterns are forces that act on the spiritual track, influencing developments, of course along with a multitude of other factors. This process, characterized by its results as previously suggested in our introduction, is not considered to be the result of voluntary action by researchers since it usually results from their 'free' personal choice in the context of the interdependencies and influences of our multifactorial world! In archeology, as well as in the study of the history of the Exact Sciences a noisy side is present which, in the context of the search for truth, the promotion of equality and the overcoming of anachronistic anchorages, comes to support and promote the dethronement of elements that have been considered fundamental to Western culture. This is, in particular, the view that supports the dogma of Ex Oriente Lux, that is, that cultural light comes 'necessarily' from the East, regardless of whether the evidence supports such a view nor not. This approach seems to obey the dictates of a political correctness and threatens to undermine independent scientific research.

This book consists of 24 papers on ancient Greek science and technology. It covers such areas as mathematics, physics, engineering, astronomical methods and instruments, and environmental issues. A great variety of topics are discussed, including medical care in ancient Olympiads, mathematical concepts in Plato, the concept of the rate of change in various mathematical areas and the concept of symmetry in ancient Greece. Aristotle’s Physics on free falling bodies, world-structure formation and matter according to the Presocratics, acoustic phenomena in archaeological sites, Trojan Horse reconstruction, offensive and defensive weapons in Homer’s epics, and telecommunications in ancient Greece are also some of the issues addressed here. This book will be an important resource to physicists, mathematicians, engineers, archaeologists, historians, and philologists.

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.