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Leibniz : Representation, Continuity and the Spatiotemporal - Dionysios Anapolitanos

Leibniz

Representation, Continuity and the Spatiotemporal

Hardcover Published: 31st December 1998
ISBN: 9780792354765
Number Of Pages: 195

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Anapolitanos critically examines and evaluates three basic characteristics of the Leibnizian metaphysical system: Leibniz's version of representation; the principle of continuity; and space, time, and the phenomenally spatio-temporal.
Chapter I discusses representation, especially as it refers to the connection between the real and the phenomenal levels of Leibniz's system. Chapter II examines the principle of continuity, including continuity as a general feature of every level of Leibniz's metaphysics. The position adopted is that the problem of the composition of the continuum played a central role on the development of Leibniz's non-spatial and non-temporal monadic metaphysics. The machinery developed is then used to offer a new interpretation of Leibniz' metaphysics of space and time. The notion of indirect representation is used to construct appropriate models that clarify the nature of the correspondence between the real and the phenomenal levels in the case of the relations `spatially between' and `temporally between', as well as in the cases of spatial and temporal density. Finally, Leibniz's solution to the problem of the continuum is discussed, arguing that it is not entirely satisfactory. A non-anachronistic alternative is proposed, compatible with Leibniz's metaphysics of substance.

`... the interested reader will find this book to be a precious and illuminating tool for tackling Leibniz's philosophical and physico-mathematical ideas.' Mathematical Reviews, 2000f

Preface
Abbreviations
Representationalismp. 1
The General Settingp. 1
Representations and Relationsp. 12
Indirect Representationsp. 20
Perceptionp. 25
Distinct, Confused, Petite, and Unconscious Perceptionsp. 31
Continuityp. 50
The Principle of Continuity and its Relation to other Leibnizian Principlesp. 50
Kinds of Continuity and Apparent Cases of Discontinuityp. 63
Density and Sequential or Cauchy Completenessp. 69
The Role of Continuity in the Formation of the Leibnizian Systemp. 78
Space, Time, the Spatio-Temporal, and Monadic Realityp. 94
Space, the Spatially Extended, and its Metaphysical Correlatep. 94
The Phenomenal Relation of "Spatially between", its Metaphysical Basis, and Density as a Property of the Spatially Extendedp. 121
Time, Phenomenal Change, and Monadic Changep. 134
Formalization of the Third Model as it Refers to Density of Monadic and Phenomenal Changep. 153
Actual Infinity and the Leibnizian Solution to the Problem of the Composition of the Continuump. 158
Bibliographyp. 175
Indexp. 183
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792354765
ISBN-10: 0792354761
Series: Science and Philosophy
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 195
Published: 31st December 1998
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 1.91
Weight (kg): 0.45