This is a wide-ranging study of numbers as a social and cultural phenomenon in ancient Greece, revealing both the instrumentality of numbers to polis life and the complex cultural meanings inherent in their use.

This book examines the division of power in the Ancient Greek city-states of the Classical and Hellenistic periods, revealing Ancient Greek political decision-making to be a multi-layered system of delegation and legal control.

Introduction : discovering practical reason -- Gyges' choice : rationality and visibility -- Glaucon's dilemma : origins of social order -- Deioces' ultimatum : how to choose a ruler -- Solon's bargain : self-enforcing constitutional order -- Melos' prospect : limits of inter-state rationality -- Socrates' critique : problems for democratic rationality -- Cephalus' expertise : economic rationality -- Conclusions : utility and eudaimonia -- Appendix : probability, risk, and likelihood.

In Galen’s Theory of Black Bile: Hippocratic Tradition, Manipulation, Innovation Keith Stewart investigates Galen’s writing on black bile to explain health and disease and shows that Galen sometimes presented this humour as three substances with different properties that can either be harmful or beneficial to the body. Keith Stewart analyses the most important treatises for Galen’s physical description and characteristion of black bile and challenges certain views on the development of this humour, such as the importance of the content of the Hippocratic On the Nature of Man. This analysis allows us to understand how and why Galen defines and uses black bile in different ways for his arguments that cannot always be reconciled with the content of his sources.

Discovering the way people in ancient cultures conducted their lives is fascinating for young people, and learning how these people counted and calculated is a part of understanding these cultures. This book offers a concise, but thorough, introduction to ancient number systems. Students won't just learn to count like the ancient Greeks; they'll learn about the number systems of the Mayans, Babylonians, Egyptians, and Romans, as well as learning Hindu-Arabic cultures and quinary and binary systems. Symbols and rules regarding the use of the symbols in each number system are introduced and demonstrated with examples. Activity pages provide problems for the students to apply their understanding of each system. Can You Count in Greek? is a great resource for math, as well as a supplement for social studies units on ancient civilizations. This valuable resource builds understanding of place value, number theory, and reasoning. It includes everything you need to easily incorporate these units in math or social studies classes. Whether you use all of the units or a select few, your students will gain a better understanding and appreciation of our number system. Grades 5-8

Recovers the voices, experiences and agency of enslaved people in ancient Greece.

Mathematicians will find accounts of every extant Greek mathematical book and many proofs translated directly from ancient texts. Students and Greek scholars will encounter a chronicle of the development of mathematical science, including the decimal scale; Egyptian and Greek arithmetic; the Greek theory of numbers; Greek geometry; Egyptian geometry; and the works of Euclid, Archimedes, and their successors.

Mid-fifth-century Athens saw the development of the Athenian empire, the radicalization of Athenian democracy through the empowerment of poorer citizens, the adornment of the city through a massive and expensive building program, the classical age of Athenian tragedy, the assembly of intellectuals offering novel approaches to philosophical and scientific issues, and the end of the Spartan-Athenian alliance against Persia and the beginning of open hostilities between the two greatest powers of ancient Greece. The Athenian statesman Pericles both fostered and supported many of these developments. Although it is no longer fashionable to view Periclean Athens as a social or cultural paradigm, study of the history, society, art, and literature of mid-fifth-century Athens remains central to any understanding of Greek history. This collection of essays reveal the political, religious, economic, social, artistic, literary, intellectual, and military infrastructure that made the Age of Pericles possible.

"This book aims to offer a unified historical treatment of all that is usually understood as "ancient scholarship" or "ancient philology" and is the first modern work to cover a period from the beginnings to the fall of Byzantium after John Edwin Sandys' work published between 1903-1908. The field "ancient scholarship" includes the exegesis of Greek authors, the editing of their texts, orderly collections of materials useful for exegetical purposes - such as lexeis, onomatologies, collections of antiquarian materials et similia -, the study of grammar, reflection on language, and everything that can be linked to this sphere, that is to say literature and the instruments for interpreting it. If it is hard today to imagine such a work being undertaken by a single scholar, it is worth underlining the benefits offered by a volume with multiple expert voices in a field so complex and multiform. The book is based on the four historiographical chapters of Brill's Companion to Ancient Greek Scholarship (2015), which have been enlarged, updated and rethought"--

Let your child learn the Numbers in GreekHave the kids Color and copy the numbers in Greek to learn them betterUse the simple phonetics rules to help your kid recognize the sounds of the Greek numbersHelp your child recognize the first numbers through the lively colorful pages of this book. The pictures of various animals and objects familiarize your child with counting in Greek and make learning funPrepare your children for school with this simple, colorful and original book series.Tested by kids, Approved by TeachersMeant for young kids as well as adults, this book serves as a guide to the most fundamental step in learning the Greek numbers.Through happy and colorful images, the student is introduced to reading and writing the Greek numbers It was written by experienced teachers of the Greek language and is meant for all ages of readers that want to begin counting in Greek.