The Continuity Debate
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The Continuity Debate
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Author : Benjamin Lee Buckley
language : en
Publisher:
Release Date : 2012-11-01
The Continuity Debate written by Benjamin Lee Buckley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-01 with Mathematics categories.
The topic of this book is the historical struggle to define and defend a real number continuum which could do the work limit theory required of it. These definitions drew heavily on philosophical and foundational assumptions, and each raises numerous philosophical questions of its own. As we shall see, attempts to formulate a non-geometrical mathematical continuity raise questions such as: What is a number? What, in particular, is a real number? What is the true nature of continuity itself? Does a philosophically coherent definition of continuity logically commit us to infinitesimally small quantities? Is the concept of an infinitesimally small quantity even logically coherent? What is the relationship between this real number continuum and other well known continua, such as the geometrical straight line? The main question to be addressed, of course, is whether mathematical continuity exists at all.
The Continuity Creativity Debate
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Author : Jean Besson
language : en
Publisher:
Release Date : 1991
The Continuity Creativity Debate written by Jean Besson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Towards A Classification Of Continuity And On The Emergence Of Generality
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Author : Daniel Rosiak
language : en
Publisher:
Release Date : 2019
Towards A Classification Of Continuity And On The Emergence Of Generality written by Daniel Rosiak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Continuity categories.
This dissertation has for its primary task the investigation, articulation, and comparison of a variety of concepts of continuity, as developed throughout the history of philosophy and a part of mathematics. It also motivates and aims to better understand some of the conceptual and historical connections between characterizations of the continuous, on the one hand, and ideas and commitments about what makes for generality (and universality), on the other. Many thinkers of the past have acknowledged the need for advanced science and philosophy to pass through the "labyrinth of the continuum" and to develop a sufficiently rich and precise model or description of the continuous; but it has been far less widely appreciated how the resulting description informs our ideas and commitments regarding how (and whether) things become general (or how we think about universality). The introduction provides some motivation for the project and gives some overview of the chapters. The first two chapters are devoted to Aristotle, as Aristotle's Physics is arguably the foundational book on continuity. The first two chapters show that Aristotle's efforts to understand and formulate a rich and demanding concept of the continuous reached across many of his investigations; in particular, these two chapters aim to better situate certain structural similarities and conceptual overlaps between his Posterior Analytics and his Physics, further revealing connections between the structure of demonstration or proof (the subject of logic and the sciences) and the structure of bodies in motion (the subject of physics and study of nature). This chapter also contributes to the larger narrative about continuity, where Aristotle emerges as one of the more articulate and influential early proponents of an account that aligns continuity with closeness or relations of nearness. Chapter 3 is devoted to Duns Scotus and Nicolas Oresme, and more generally, to the Medieval debate surrounding the "latitude of forms" or the "intension and remission of forms," in which concerted efforts were made to re-focus attention onto the type of continuous motions mostly ignored by the tradition that followed in the wake of Aristotelian physics. In this context, the traditional appropriation of Aristotle's thoughts on unity, contrariety, genera, forms, quantity and quality, and continuity is challenged in a number of important ways, reclaiming some of the largely overlooked insights of Aristotle into the intimate connections between continua and genera. By realizing certain of Scotus's ideas concerning the intension and remission of qualities, Oresme initiates a radical transformation in the concept of continuity, and this chapter argues that Oresme's efforts are best understood as an early attempt at freeing the concept of continuity from its ancient connection to closeness. Chapters 4 and 5 are devoted to unpacking and re-interpreting Spinoza's powerful theory of what makes for the 'oneness' of a body in general and how 'ones' can compose to form ever more composite 'ones' (all the way up to Nature as a whole). Much of Spinoza reads like an elaboration on Oresme's new model of continuity; however, the legacy of the Cartesian emphasis on local motion makes it difficult for Spinoza to give up on closeness altogether. Chapter 4 is dedicated to a closer look at some subtleties and arguments surrounding Descartes' definition of local motion and 'one body', and Chapter 5 builds on this to develop Spinoza's ideas about how the concept of 'one body' scales, in which context a number of far-reaching connections between continuity and generality are also unpacked. Chapter 6 leaves the realm of philosophy and is dedicated to the contributions to the continuity generality connection from one field of contemporary mathematics: sheaf theory (and, more generally, category theory). The aim of this chapter is to present something like a "tour" of the main philosophical contributions made by the idea of a sheaf to the specification of the concept of continuity (with particular regard for its connections to universality). The concluding chapter steps back and discusses a number of distinct characterizations of continuity in more abstract and synthetic terms, while touching on some of the corresponding representations of generality to which each such model gives rise. This chapter ends with a brief discussion of some of the arguments that have been deployed in the past to claim that continuity (or discreteness) is "better."
The Doctrine Of Man As A Clue To The Continuity Discontinuity Debate In Twentieth Century Missiology
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Author : William M. Pickard
language : en
Publisher:
Release Date : 1966
The Doctrine Of Man As A Clue To The Continuity Discontinuity Debate In Twentieth Century Missiology written by William M. Pickard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Missions categories.
Stability And Continuity In Mental Development
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Author : M. H. Bornstein
language : en
Publisher: Psychology Press
Release Date : 2013-05-13
Stability And Continuity In Mental Development written by M. H. Bornstein and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Psychology categories.
Filling a gap in current literature on human development, this volume explores the influence of psychophysiological, behavioral, and social factors on stability and continuity in the development of the mind during human infancy. The book reviews existing literature, presents new data, and discusses issues of substance in mental development, methodology, and interpretation. Commentaries by recognized experts interpret the research results from the previous chapters.
Changes And Continuity In Twentieth Century Theological Debate
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Author : Elena Janel Onaga
language : en
Publisher:
Release Date : 1988
Changes And Continuity In Twentieth Century Theological Debate written by Elena Janel Onaga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Continuity And Discontinuity Essays In Honor Of S Lewis Johnson Jr
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Author : John S. Feinberg
language : en
Publisher: Crossway
Release Date : 1988-05-01
Continuity And Discontinuity Essays In Honor Of S Lewis Johnson Jr written by John S. Feinberg and has been published by Crossway this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-05-01 with Religion categories.
Evangelicals agree that the Bible is God's inerrant word. But we sometimes differ on how to relate the messages of the Old and New Testaments. Without a basic understanding of this crucial matter, it is difficult to know how to use the Testaments to formulate either doctrine or practice. For example: Was Israel the OT Church—are OT promises to God's national people fulfilled in the church today? Or, is Mosaic Law binding on believers now—are twentieth-century Christians to obey the Ten Commandments, including sabbath observance? In this book, thirteen noted evangelical theologians discuss, fairly but clearly, the continuity/discontinuity debate in regard to six basic categories: theological systems, hermeneutics, salvation, the Law of God, the people of God, and kingdom promises. Covering much more than the differences between Covenant Theology and Dispensationalism, this work of distinguished evangelical scholarship will fuel much profitable study and discussion.
The Media Reader
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Author : Hugh Mackay
language : en
Publisher: SAGE
Release Date : 1999-06-22
The Media Reader written by Hugh Mackay and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-22 with Social Science categories.
`Alertness to the changing terms of debate, familiarity with the latest scholarship and a shrewd, practical sense of what works in teaching make this collection a very worthwhile addition to course reading lists' - John Corner, University of Liverpool The Media Reader is an essential sourcebook of key statements about transformations in media culture. The Reader explores the technological, economic, social and cultural processes implicated in the production, regulation, circulation and consumption of media forms. It applies theoretical approaches, supported by a range of case studies, to past and present media transformations. Divided into four parts: Mass Communications and the Modern World;
Utilizing Continuous Selection In The Definition Of Continuity
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Author : Adam Alan Moskey
language : en
Publisher:
Release Date : 2010
Utilizing Continuous Selection In The Definition Of Continuity written by Adam Alan Moskey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Topology categories.
Signs Of Continuity
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Author : Greg Rhodea
language : en
Publisher: Penn State Press
Release Date : 2019-12-11
Signs Of Continuity written by Greg Rhodea and has been published by Penn State Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-11 with Religion categories.
For more than a century, scholars have debated whether Paul the apostle was a faithful follower of Jesus or a corruptor of Jesus’s message and the true founder of Christianity. Signs of Continuity intervenes in this debate by exploring a largely overlooked element of similarity between the two men: the place of miracles in their ministries. In his close analysis of the miracles performed by Jesus and Paul, Greg Rhodea points to signs of continuity between these two historical figures of Christianity. He argues that both Jesus and Paul understood their miracles as accompanying and actualizing a message of gracious inclusion of the marginalized, resisted proving their ability to work miracles to those who asked for a sign despite the importance of miracle-working to their personal authentication, and interpreted miracles as proof of the presence of the eschatological kingdom. Based on these similarities, Rhodea concludes that Paul the apostle knew of Jesus’s miracles and that he imitated Jesus in his own ministry of miracle-working. In highlighting this previously unexplored area of continuity, Rhodea makes a significant contribution to the debate over the relationship between Jesus and Paul. Biblical scholars and students interested in this debate will find Signs of Continuity enlightening and informative.