Leibniz Representation Continuity And The Spatiotemporal

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.

Larry M. Jorgensen provides a systematic reappraisal of Leibniz's philosophy of mind, revealing the full metaphysical background that allowed Leibniz to see farther than most of his contemporaries. In recent philosophy much effort has been put into discovering a naturalized theory of mind. Leibniz's efforts to reach a similar goal three hundred years earlier offer a critical stance from which we can assess our own theories. But while the goals might be similar, the content of Leibniz's theory significantly diverges from that of today's thought. Perhaps surprisingly, Leibniz's theological commitments yielded a thoroughgoing naturalizing methodology: the properties of an object are explicable in terms of the object's nature. Larry M. Jorgensen shows how this methodology led Leibniz to a fully natural theory of mind.

Gottfried Wilhelm Leibniz (1646-1716) was one of the first Modern philosophers, and as such, one of the most significant. His contributions were often pathbreaking and his imprint still remains on fields such as logic, mathematics, science, international law, and ethics. While publishing relatively little during his life, he was in regular correspondence with important philosophers and even political leaders. The Historical Dictionary of Leibniz's Philosophy sheds light not only on his philosophical thought but also the impact it had on the thinking of his contemporaries. They, and he, are described in numerous cross-referenced dictionary entries. Also included are other entries that present his writings, explain his concepts, and trace his action in specific fields. The introduction sums much of this up and_along with the bibliography_provides a strong foundation for further study.

In Living Mirrors, Ohad Nachtomy examines Leibniz's attempt to "re-enchant" the natural world-that is, to infuse life, purpose, and value into the very foundations of nature, a nature that Leibniz saw as disenchanted by Descartes' and Spinoza's more naturalistic and mechanistic theories. Nachtomy sees Leibniz's nuanced view of infinity- how it differs in the divine as well as human spheres, and its relationship to numerical and metaphysical unity-as key in this effort. Leibniz defined living beings by means of an infinite nested structure particular to what he called "natural machines"-and for him, an intermediate kind of infinity is the defining feature of living beings. Using a metaphor of a "living mirror," Leibniz put forth infinity as crucial to explaining the unity of a living being as well as the harmony between the infinitely small and the infinitely large; in this way, employing infinity and unity, we can better understand life itself, both as a metaphysical principle and as an empirical fact. Nachtomy's sophisticated and novel treatment of the essential themes in Leibniz's work will not only interest Leibniz scholars, but scholars of early modern philosophy and students of the history of philosophy and science as well.

In this book, modern scientists and philosophers of science confront the prophetic legacy of the 17th century philosopher Leibniz—a metaphysical agenda full of ideas presaging today’s state of the art research into relativity and quantum cosmology; the physics of force, mass, momentum, time and space; complexity and chaos theories; fundamental particles and multiple worlds; and of the electronic cosmos of our computer era. Their immense relevance to us is demonstrated by the engagement with them of over 200 present-day scientific minds. In essence this monograph comprises a survey and critical comparison of interlocking texts, and will serve philosophers as a gateway into fundamental science from the angle of metaphysics, as well as scientists as a documentation of Leibniz’s profound philosophical impact on their own fields.

The Bloomsbury Companion to Leibniz presents a comprehensive and authoritative introduction to the life, thought and work of one of the great polymaths of the modern world, G.W. Leibniz. This guide enriches the reader's understanding of Leibniz by establishing the philosophies of, and Leibniz's reactions to, his most important philosophical contemporaries from Descartes to Malebranche. While addressing current philosophical research in Leibniz studies such as his metaphysics, logic and theory of free will, a leading team of experts in the field demonstrate that Leibniz's work was wider in scope. Examining new directions in this field they cover a number of Leibniz's concerns outside of philosophy including mathematics, physics, and the life sciences. The Companion concludes by offering analysis of Leibniz's legacy; his impact on further study, particularly on his successor Immanuel Kant, and how he has subsequently been understood. Together with extended biographical sketches and an up-to-date and fully comprehensive bibliography, The Bloomsbury Companion to Leibniz is an extremely valuable study tool for students and scholars interested in Leibniz and the era in which he wrote.

As the first major work on realism in Leibniz's metaphysics, this key text demonstrates that it is not possible to maintain compatibility of phenomenalist and realist views – they must be understood as completely separate trends of thought in Leibniz.

The first comprehensive survey of the criticisms of Leibniz's philosophical optimism in the first half of the eighteenth century, when what has been called the ‘debacle of the perfect world’ first began.