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This book is a detailed study of Gottfried Wilhelm Leibniz's creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known "calculi" Leibniz created such as the Analysis Situs, delves into aspects of his logic, and gives an overview of his efforts to construct a Universal Characteristic, a goal that has its distant origin in the Ars Magna of the 13th century Catalan philosopher Raymond Llull, whose work enjoyed a renewed popularity in the century and a half prior to Leibniz.This book also touches upon a new look at the priority controversy with Newton and a Kuhnian interpretation of the nature of mathematical change. This book may be the only integrated treatment based on recent research and should be a thought-provoking contribution to the history of mathematics for scholars and students, interested in either Leibniz's mathematical achievement or general issues in the field.
This book is a history, analysis, and criticism of what the author calls "postmodern interpretations of science" (PIS) and the closely related "sociology of scientific knowledge" (SSK). This movement traces its origin to Thomas Kuhn's revolutionary work, The Structure of Scientific Revolutions (1962), but is more extreme. It believes that science is a "social construction", having little to do with nature, and is determined by contextual forces such as the race, class, gender of the scientist, laboratory politics, or the needs of the military industrial complex.Since the 1970s, PIS has become fashionable in the humanities, social sciences, and ethnic or women's studies, as well as in the new academic discipline of Science, Technology, and Society (STS). It has been attacked by numerous authors and the resulting conflicts led to the so-called Science Wars of the 1990s. While the present book is also critical of PIS, it focuses on its intellectual and political origins and tries to understand why it became influential in the 1970s. The book is both an intellectual and a political history. It examines the thoughts of Karl Popper, Karl Mannheim, Ludwik Fleck, Thomas Kuhn, Paul Feyerabend, David Bloor, Steve Woolgar, Steve Shapin, Bruno Latour, and PIS-like doctrines in mathematics. It also describes various philosophical contributions to PIS ranging from the Greek sophists to 20th century post-structuralists and argues that the disturbed political atmosphere of the Vietnam War era was critical to the rise of PIS.
Nurturing Child and Adolescent Spirituality: Perspectives from the World's Religious Traditions provides a forum for prominent religious scholars to examine the state of religious knowledge and theological reflection on spiritual development in childhood and adolescence. Featuring essays from thinkers representing the world's major religious traditions, the book introduces new voices, challenges assumptions, raises new questions, and broadens the base of knowledge and investment in this important domain of life. It specifically and intentionally focuses on theological and philosophical perspectives from within religious traditions, creating space for the religious traditions to find their voices. Nurturing Child and Adolescent Spirituality is firmly grounded in the language and priorities of religious studies, and helps stimulate explorations of whether and how religious communities are tapping their own wisdom and strengths in nurturing today's young people in a complex and changing world. Nurturing Child and Adolescent Spirituality will set the stage for new waves of scholarship and dialogue within and across traditions, disciplines, and cultures that will enrich understanding and strengthen how the world's religious traditions, and others, understand and cultivate the spiritual lives of children and adolescents around the globe.
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