The Complex Itinerary of Leibniz’s Planetary Theory

The Complex Itinerary of Leibniz’s Planetary Theory PDF Author: Paolo Bussotti
Publisher: Birkhäuser
ISBN: 3319212362
Category : Mathematics
Languages : en
Pages : 194

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Book Description
This book presents new insights into Leibniz’s research on planetary theory and his system of pre-established harmony. Although some aspects of this theory have been explored in the literature, others are less well known. In particular, the book offers new contributions on the connection between the planetary theory and the theory of gravitation. It also provides an in-depth discussion of Kepler’s influence on Leibniz’s planetary theory and more generally, on Leibniz’s concept of pre-established harmony. Three initial chapters presenting the mathematical and physical details of Leibniz’s works provide a frame of reference. The book then goes on to discuss research on Leibniz’s conception of gravity and the connection between Leibniz and Kepler.

The Complex Itinerary of Leibniz’s Planetary Theory

The Complex Itinerary of Leibniz’s Planetary Theory PDF Author: Paolo Bussotti
Publisher: Birkhäuser
ISBN: 3319212362
Category : Mathematics
Languages : en
Pages : 194

Get Book Here

Book Description
This book presents new insights into Leibniz’s research on planetary theory and his system of pre-established harmony. Although some aspects of this theory have been explored in the literature, others are less well known. In particular, the book offers new contributions on the connection between the planetary theory and the theory of gravitation. It also provides an in-depth discussion of Kepler’s influence on Leibniz’s planetary theory and more generally, on Leibniz’s concept of pre-established harmony. Three initial chapters presenting the mathematical and physical details of Leibniz’s works provide a frame of reference. The book then goes on to discuss research on Leibniz’s conception of gravity and the connection between Leibniz and Kepler.

The Complex Itinerary of Leibniz's Planetary Theory

The Complex Itinerary of Leibniz's Planetary Theory PDF Author: Paolo Bussotti
Publisher:
ISBN: 9783319212371
Category :
Languages : en
Pages :

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Book Description
This book presents new insights into Leibniz's research on planetary theory and his system of pre-established harmony. Although some aspects of this theory have been explored in the literature, others are less well known. In particular, the book offers new contributions on the connection between the planetary theory and the theory of gravitation. It also provides an in-depth discussion of Kepler's influence on Leibniz's planetary theory and, more generally, on Leibniz's concept of pre-established harmony. Three initial chapters presenting the mathematical and physical details of Leibniz's works provide a frame of reference. The book then goes on to discuss research on Leibniz's conception of gravity and the connection between Leibniz and Kepler. .

Vis Vim Vi: Declinations of Force in Leibniz’s Dynamics

Vis Vim Vi: Declinations of Force in Leibniz’s Dynamics PDF Author: Tzuchien Tho
Publisher: Springer
ISBN: 3319590553
Category : Philosophy
Languages : en
Pages : 154

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Book Description
This book presents a systematic reconstruction of Leibniz’s dynamics project (c. 1676-1700) that contributes to a more comprehensive understanding of the concepts of physical causality in Leibniz’s work and 17th century physics. It argues that Leibniz’s theory of forces privileges the causal relationship between structural organization and physical phenomena instead of body-to-body mechanical causation. The mature conception of Leibnizian force is not the power of one body to cause motion in another, but a kind of structural causation related to the configuration of integral systems of bodies in physical evolution. By treating the immanent philosophy of Leibniz’s dynamics, this book makes explicit the systematic aims and inherent limits of Leibniz's physical project, in addition to providing an alternative vision of the scientific understanding of the physical world in the late 17th and early 18th century.

Cosmology in the Early Modern Age: A Web of Ideas

Cosmology in the Early Modern Age: A Web of Ideas PDF Author: Paolo Bussotti
Publisher: Springer Nature
ISBN: 3031121953
Category : Philosophy
Languages : en
Pages : 346

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Book Description
This volume addresses the history and epistemology of early modern cosmology. The authors reconstruct the development of cosmological ideas in the age of ‘scientific revolution’ from Copernicus to Leibniz, taking into account the growth of a unified celestial-and-terrestrial mechanics. The volume investigates how, in the rise of the new science, cosmology displayed deep and multifaceted interrelations between scientific notions (stemming from mechanics, mathematics, geometry, astronomy) and philosophical concepts. These were employed to frame a general picture of the universe, as well as to criticize and interpret scientific notions and observational data. This interdisciplinary work reconstructs a conceptual web pervaded by various intellectual attitudes and drives. It presents an historical–epistemological unified itinerary which includes Copernicus, Kepler, Galileo, Descartes, Huygens, Newton and Leibniz. For each of the scientists and philosophers, a presentation and commentary is made of their cosmological views, and where relevant, outlines of their most relevant physical concepts are given. Furthermore, the authors highlight the philosophical and epistemological implications of their scientific works. This work is helpful both as a synthetic overview of early modern cosmology, and an analytical exposition of the elements that were intertwined in early-modern cosmology. This book addresses historians, philosophers, and scientists and can also be used as a research source book by post-graduate students in epistemology, history of science and history of philosophy.

Leibniz on Time, Space, and Relativity

Leibniz on Time, Space, and Relativity PDF Author: Richard T. W. Arthur
Publisher: Oxford University Press
ISBN: 019266560X
Category : Philosophy
Languages : en
Pages : 421

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Book Description
In this book, Arthur gives fresh interpretations of Gottfried Leibniz's theories of time, space, and the relativity of motion, based on a thorough examination of Leibniz's manuscripts as well as his published papers. These are analysed in historical context, but also with an eye to their contemporary relevance. Leibniz's views on relativity have been extremely influential, first on Mach, and then on Einstein, while his novel approach to geometry in his analysis situs inspired many later developments in geometry. Arthur expounds the latter in some detail, explaining its relationship to Leibniz's metaphysics of space and the grounding of motion, and defending Leibniz's views on the relativity of motion against charges of inconsistency. The brilliance of his work on time, though, has not been so well appreciated, and Arthur attempts to remedy this through a detailed discussion of Leibniz's relational theory of time, showing how it underpins his theory of possible worlds, his complex account of contingency, and his highly original treatment of the continuity of time, providing formal treatments in an appendix. In other appendices, Arthur provides translations of previously untranslated writings by Leibniz on analysis situs and on Copernicanism, as well as an essay on Leibniz's philosophy of relations. In his introductory chapter he explains how the framework for the book is provided by the interpretation of Leibniz's metaphysics he defended in his earlier Monads, Composition, and Force (OUP 2018, winner of the 2019 annual JHP Book Prize for best book in the history of philosophy published in 2018).

Contemporary Scientific Realism

Contemporary Scientific Realism PDF Author: Timothy D. Lyons
Publisher: Oxford University Press
ISBN: 0197554636
Category : Science
Languages : en
Pages : 336

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Book Description
Scientific realists claim we can justifiably believe that science is getting at the truth. However, they have faced historical challenges: various episodes across history appear to demonstrate that even strongly supported scientific theories can be overturned and left behind. In response, realists have developed new positions and arguments. As a result of specific challenges from the history of science, and realist responses, we find ourselves with an ever-increasing dataset bearing on the (possible) relationship between science and truth. The present volume introduces new historical cases impacting the debate and advances the discussion of cases that have only very recently been introduced. At the same time, shifts in philosophical positions affect the very kind of case study that is relevant. Thus, the historical work must proceed hand in hand with philosophical analysis of the different positions and arguments in play. It is with this in mind that the volume is divided into two sections, entitled "Historical Cases for the Debate" and "Contemporary Scientific Realism." All sides agree that historical cases are informative with regard to how, or whether, science connects with truth. Defying proclamations as early as the 1980s announcing the death knell of the scientific realism debate, here is that rare thing: a philosophical debate making steady and definite progress. Moreover, the progress it is making concerns one of humanity's most profound and important questions: the relationship between science and truth, or, put more boldly, the epistemic relation between humankind and the reality in which we find ourselves.

The Oxford Handbook of Leibniz

The Oxford Handbook of Leibniz PDF Author: Maria Rosa Antognazza
Publisher: Oxford University Press
ISBN: 0190913649
Category : Philosophy
Languages : en
Pages : 928

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Book Description
The extraordinary breadth and depth of Leibniz's intellectual vision commands ever increasing attention. As more texts gradually emerge from seemingly bottomless archives, new facets of his contribution to an astonishing variety of fields come to light. This volume provides a uniquely comprehensive, systematic, and up-to-date appraisal of Leibniz's thought thematically organized around its diverse but interrelated aspects. Discussion of his philosophical system naturally takes place of pride. A cluster of original essays revisit his logic, metaphysics, epistemology, philosophy of nature, moral and political philosophy, and philosophy of religion. The scope of the volume, however, goes beyond that of a philosophical collection to embrace all the main features of Leibniz's thought and activity. Contributions are offered on Leibniz as a mathematician (including not only his calculus but also determinant theory, symmetric functions, the dyadic, the analysis situs, probability and statistics); on Leibniz as a scientist (physics and also optics, cosmology, geology, physiology, medicine, and chemistry); on his technical innovations (the calculating machine and the technology of mining, as well as other discoveries); on his work as an 'intelligencer' and cultural networker, as jurist, historian, editor of sources and librarian; on his views on Europe's political future, religious toleration, and ecclesiastical reunification; on his proposals for political, administrative, economic, and social reform. In so doing, the volume serves as a unique cross-disciplinary point of contact for the many domains to which Leibniz contributed. By assembling leading specialists on all these topics, it offers the most rounded picture of Leibniz's endeavors currently available.

Kant on Reality, Cause, and Force

Kant on Reality, Cause, and Force PDF Author: Tal Glezer
Publisher: Cambridge University Press
ISBN: 1108356303
Category : Philosophy
Languages : en
Pages : 243

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Book Description
Kant's category of reality is an often overlooked element of his Critique of Pure Reason. Tal Glezer shows that it nevertheless belongs at the core of Kant's mature critical philosophy: it captures an issue that motivated his critical turn, shaped his theory of causation, and established the role of his philosophy of science. Glezer's study traces the roots of Kant's category of reality to early modern debates over the intelligibility of substantial forms, fueled by the tension between the idea of non-extended substances and that of extended objects. This tension influenced Kant's pre-critical work, and eventually inspired his radical break towards transcendental idealism. Glezer explores the importance of reality for Kant's conceptions of cause and force, and sheds new light on his philosophy of physical science, including gravity. His book will interest scholars of Kant and of early modern philosophy, as well as historians of scientific ideas.

Homage to Evangelista Torricelli’s Opera Geometrica 1644–2024

Homage to Evangelista Torricelli’s Opera Geometrica 1644–2024 PDF Author: Raffaele Pisano
Publisher: Springer Nature
ISBN: 3031069633
Category :
Languages : en
Pages : 1118

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Book Description


Essay on Machines in General (1786)

Essay on Machines in General (1786) PDF Author: Raffaele Pisano
Publisher: Springer Nature
ISBN: 303044385X
Category : Philosophy
Languages : en
Pages : 365

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Book Description
This book offers insights relevant to modern history and epistemology of physics, mathematics and, indeed, to all the sciences and engineering disciplines emerging of 19th century. This research volume is the first of a set of three Springer books on Lazare Nicolas Marguérite Carnot’s (1753–1823) remarkable work: Essay on Machines in General (Essai sur les machines en général [1783] 1786). The other two forthcoming volumes are: Principes fondamentaux de l’équilibre et du mouvement (1803) and Géométrie de position (1803). Lazare Carnot – l'organisateur de la victoire – in Essai sur le machine en général (1786) assumed that the generalization of machines was a necessity for society and its economic development. Subsequently, his new coming science applied to machines attracted considerable interest for technician, as well, already in the 1780’s. With no lack in rigour, Carnot used geometric and trigonometric rather than algebraic arguments, and usually went on to explain in words what the formulae contained. His main physical– mathematical concepts were the Geometric motion and Moment of activity–concept of Work . In particular, he found the invariants of the transmission of motion (by stating the principle of the moment of the quantity of motion) and theorized the condition of the maximum efficiency of mechanical machines (i.e., principle of continuity in the transmission of power). While the core theme remains the theories and historical studies of the text, the book contains an extensive Introduction and an accurate critical English Translation – including the parallel text edition and substantive critical/explicative notes – of Essai sur les machines en général (1786). The authors offer much-needed insight into the relation between mechanics, mathematics and engineering from a conceptual, empirical and methodological, and universalis point of view. As a cutting–edge writing by leading authorities on the history of physics and mathematics, and epistemological aspects, it appeals to historians, epistemologist–philosophers and scientists (physicists, mathematicians and applied sciences and technology).