Reciprocity

The tendency to reciprocate – to return good for good and evil for evil – is a potent force in human life, and the concept of reciprocity is closely connected to fundamental notions of ‘justice’, ‘obligation’ or ‘duty’, ‘gratitude’ and ‘equality’. In Reciprocity, first published in 1986, Lawrence Becker presents a sustained argument about reciprocity, beginning with the strategy for developing a moral theory of the virtues. He considers the concept of reciprocity in detail, contending that it is a basic virtue that provides the basis for parental authority, obligations to future generations, and obedience to law. Throughout the first two parts of the book, Becker intersperses short pieces of his own narrative fiction to enrich reflection on the philosophical arguments. The final part is devoted to extensive bibliographical essays, ranging over anthropology, psychology, political theory and law, as well as the relevant ethics and political philosophy.

The choice of topics in this book may seem somewhat arbitrary, even though we have attempted to organize them in a logical structure. The contents reflect the path of 'search and discovery' followed by us, on and off, for the in fact last twenty years. In the winter of 1970-71 one of the authors (C. A. ), on sah baticalleave with L. R. O. Storey's research team at the Groupe de Recherches Ionospheriques at Saint-Maur in France, had been finding almost exact symme tries in the computed reflection and transmission matrices for plane-stratified magnetoplasmas when symmetrically related directions of incidence were com pared. At the suggestion of the other author (K. S. , also on leave at the same institute), the complex conjugate wave fields, used to construct the eigenmode amplitudes via the mean Poynting flux densities, were replaced by the adjoint wave fields that would propagate in a medium with transposed constitutve tensors, et voila, a scattering theorem-'reciprocity in k-space'-was found in the computer output. To prove the result analytically one had to investigate the properties of the adjoint Maxwell system, and the two independent proofs that followed, in 1975 and 1979, proceeded respectively via the matrizant method and the thin-layer scattering-matrix method for solving the scattering problem, according to the personal preferences of each of the authors. The proof given in Chap. 2 of this book, based on the hindsight provided by our later results, is simpler and much more concise.

John V. Murra's Lewis Henry Morgan Lectures, originally given in 1969, are the only major study of the Andean "avenue towards civilization." Collected and published for the first time here, they offer a powerful and insistent perspective on the Andean region as one of the few places in which a so-called "pristine civilization" developed. Murra sheds light not only on the way civilization was achieved here--which followed a fundamentally different process than that of Mesopotamia and Mesoamerica--he uses that study to shed new light on the general problems of achieving civilization in any world region. Murra intermixes a study of Andean ecology with an exploration of the ideal of economic self-sufficiency, stressing two foundational socioeconomic forces: reciprocity and redistribution. He shows how both enabled Andean communities to realize direct control of a maximum number of vertically ordered ecological floors and the resources they offered. He famously called this arrangement a "vertical archipelago," a revolutionary model that is still examined and debated almost fifty years after it was first presented in these lecture. Written in a crisp and elegant style and inspired by decades of ethnographic fieldwork, this set of lectures is nothing less than a lost classic, and it will be sure to inspire new generations of anthropologists and historians working in South America and beyond.

"Reciprocity is an exciting book—it forces its readers to rethink some important issues in recent moral philosophy."—Ruth Anna Putnam, Ethics "By reciprocity Becker understands a complex disposition to make suitable return for the benefit we receive from others, to resist the harm others inflict on us rather than retaliate for it, and to make restitution for the harm we ourselves cause. . . . This is a clearly written book which makes fresh contributions to a number of topics."—A. D. M. Walker, Philosophical Books

This book covers the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will be of interest to readers interested in the history of reciprocity laws or in the current research in this area.

Important monograph by international authority who presents new methods/applications of a classical technique in elasticity.

A powerful new kind of competitive advantage is now possible thanks to technological and social disruptions that are already occurring. These disruptions revolutionize how companies can partner to create new growth. The Reciprocity Advantage shares a model for creating that growth: define your right-of-way (the underutilized resources you already own that you can share with others), partner to do what you can’t do alone, experiment to learn, and scale the new business at low risk. Reciprocity and advantage are words that are not normally seen together, but reciprocity—giving now to get later—will become a normal part of winning in the future. The Reciprocity Advantage shows you how to leverage new forces like digital natives and cloud-served supercomputing now into massively scalable, profitable, incremental growth for your business. Provocative and pragmatic, leading ten-year forecaster Bob Johansen and experienced business developer Karl Ronn describe how to lean in to disruptions to create new growth for your business. They include actual cases showing early successes for a range of companies and nonprofits like IBM, Microsoft, Google, Apple, and TED. They then provide key exercises to define your promising new ideas and nurture them into healthy new businesses. Their recommendations are based on practical experience in managing the problems of new business creation and many years of helping others see the future more clearly. Distilled from hands-on work, this book gets you started today on creating your own reciprocity advantage.

An evaluation of the importance of reciprocity in considering states' legal obligations in armed conflicts.