The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz.
Author: Vincenzo De Risi
Publisher: Springer Nature
The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and compare Leibniz’s results in these fields with 19th- and 20th-Century conceptions of them. All of them have special care in framing Leibniz’s work in historical context, and sometimes offer wider historical perspectives that go much beyond Leibniz’s researches. A special emphasis is given to effective mathematical practice rather than purely epistemological thought. The book is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.
In Infinitesimals Differences : Controversies between Leibniz and his
Contemporaries , ed . U. Goldenbaum and D. ... In Leibniz and the Structure of Sciences : Modern and New Essays on Logic , Mathematics , Epistemology , ed .
V. De Risi ...
Author: Stewart Shapiro
Publisher: Oxford University Press, USA
Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.
Leibniz will explicitly address this particular structure of the Scientia
Generalisunder the distinction between its ... and, second, the establishment of a
demonstrative encyclopaedia; that is to say, the development of new samples of science.
Author: Maria Rosa Antognazza
Publisher: Oxford University Press, USA
"This handbook is currently in development, with individual articles publishing online in advance of print publication. At this time, we cannot add information about unpublished articles in this handbook, however the table of contents will continue to grow as additional articles pass through the review process and are added to the site. Please note that the online publication date for this handbook is the date that the first article in the title was published online. For more information, please read the site FAQs." -- website
an attempt to comprehend the categories of living structure . But it is the idea of
organism , of life , which is radical to the thought of Leibniz . I do not think ,
however , that it can truly be said that he was led to the idea simply from the state
Author: John Dewey
Category: Knowledge, Theory of
New Essays on Human Understanding is a chapter-by-chapter rebuttal by Gottfried Leibniz of John Locke's major work, An Essay Concerning Human Understanding. It was finished in 1704 but Locke's death was the cause alleged by Leibniz to withhold its publication. The book appeared some sixty years later. Like many philosophical works of the time, it is written in dialogue form. The two speakers in the book are Theophilus, who represents the views of Leibniz, and Philalethes, who represents those of Locke. The famous rebuttal to the empiricist thesis about the provenance of ideas appears at the beginning of Book II: "Nothing is in the mind without being first in the senses, except for the mind itself". All of Locke's major arguments against innate ideas are criticized at length by Leibniz, who defends an extreme view of innate cognition, according to which all thoughts and actions of the soul are innate. In addition to his discussion of innate ideas, Leibniz offers penetrating critiques of Locke's views on personal identity, free will, mind-body dualism, language, necessary truth, and Locke's attempted proof of the existence of God.
Author: Professor of Computing Science Department of Computing Dov M GabbayPublish On: 2004-03-22
Professor of Computing Science Department of Computing Dov M Gabbay, Dov
M. Gabbay, John Woods, Stephan ... a structure , one must identify its elements ,
their properties and relations , and the important truths concerning these .
Author: Professor of Computing Science Department of Computing Dov M Gabbay
Publisher: North Holland
In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality.
1 Mathematics and Logic in the Contributions Bolzano ' s primary scientific
interest was the foundations of mathematics ... a structure , one must identify its
elements , their properties and relations , and the important truths concerning
Unfortunately, Leibniz was not generally a writer of well-organized systematic
texts, written for the enlightenment of the philosophical and scientific elite of his
day. Mostly his writings were of the nature of personal correspondence, abstracts,
In more modern language, Leibniz is putting forward a true causal theory of time.
... view is not an isolated one.20 The moral to be drawn for the logical structure of
the complete concept is this: besides the equivalence relation of compossibility, ...
Author: Stefano Bella
Publisher: Springer Science & Business Media
In his well-known Discourse on Metaphysics, Leibniz puts individual substance at the basis of metaphysical building. In so doing, he connects himself to a venerable tradition. His theory of individual concept, however, breaks with another idea of the same tradition, that no account of the individual as such can be given. Contrary to what has been commonly accepted, Leibniz’s intuitions are not the mere result of the transcription of subject-predicate logic, nor of the uncritical persistence of some old metaphysical assumptions. They grow, instead, from an unprejudiced inquiry about our basic ontological framework, where logic of truth, linguistic analysis, and phenomenological experience of the mind’s life are tightly interwoven. Leibniz’s struggle for a concept capable of grasping concrete individuals as such is pursued in an age of great paradigm changes – from the Scholastic background to Hobbes’s nominalism to the Cartesian ‘way of ideas’ or Spinoza’s substance metaphysics – when the relationships among words, ideas and things are intensively discussed and wholly reshaped. This is the context where the genesis and significance of Leibniz’s theory of ‘complete being’ and its concept are reconstrued. The result is a fresh look at some of the most perplexing issues in Leibniz scholarship, like his ideas about individual identity and the thesis that all its properties are essential to an individual. The questions Leibniz faces, and to which his theory of individual substance aims to answer, are yet, to a large extent, those of contemporary metaphysics: how to trace a categorial framework? How to distinguish concrete and abstract items? What is the metaphysical basis of linguistic predication? How is trans-temporal sameness assured? How to make sense of essential attributions? In this ontological framework Leibniz’s further questions about the destiny of human individuals and their history are spelt out. Maybe his answers also have something to tell us. This book is aimed at all who are interested in Leibniz’s philosophy, history of early modern philosophy and metaphysical issues in their historical development.
However, the focus of this book is mainly on the classification problems of Leibniz algebras. Particularly, the authors propose a method of classification of a subclass of Leibniz algebras based on algebraic invariants.
Author: Shavkat Ayupov
Publisher: CRC Press
Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras. Leibniz algebra is the generalization of Lie algebras. These algebras preserve a unique property of Lie algebras that the right multiplication operators are derivations. They first appeared in papers of A.M Blokh in the 1960s, under the name D-algebras, emphasizing their close relationship with derivations. The theory of D-algebras did not get as thorough an examination as it deserved immediately after its introduction. Later, the same algebras were introduced in 1993 by Jean-Louis Loday , who called them Leibniz algebras due to the identity they satisfy. The main motivation for the introduction of Leibniz algebras was to study the periodicity phenomena in algebraic K-theory. Nowadays, the theory of Leibniz algebras is one of the more actively developing areas of modern algebra. Along with (co)homological, structural and classification results on Leibniz algebras, some papers with various applications of the Leibniz algebras also appear now. However, the focus of this book is mainly on the classification problems of Leibniz algebras. Particularly, the authors propose a method of classification of a subclass of Leibniz algebras based on algebraic invariants. The method is applicable in the Lie algebras case as well. Features: Provides a systematic exposition of the theory of Leibniz algebras and recent results on Leibniz algebras Suitable for final year bachelor's students, master's students and PhD students going into research in the structural theory of finite-dimensional algebras, particularly, Lie and Leibniz algebras Covers important and more general parts of the structural theory of Leibniz algebras that are not addressed in other texts
Cerreta , P . and Drago , A . ( 1989 ) . " The conceptual structure of The Structure of Scientific Revolutions by T . S . Kuhn ” . In F . Krafft and C . J . Scriba ( eds . ) ,
Abstracts of the 18th International Congress of the History of Science , Hamburg .
Author: Maria Luisa Dalla ChiaraPublish On: 1980-12-31
The twenty-five essays that form this volume will, we expect, encourage English-reading philosophers and scientists to seek further works by these authors and by their teachers, colleagues, and students; and, we hope, to look for those ...
Author: Maria Luisa Dalla Chiara
Publisher: Springer Science & Business Media
The impressive record of Italian philosophical research since the end of Fascism thirty-two years ago is shown in many fields: esthetics, social and" personal ethics, history and sociology of philosophy, and magnificently, perhaps above all, in logic, foundations of mathematics and the philosophY, methodology, and intellectual history ofthe empirical sciences. To our pleasure, Maria Luisa Dalla Chiara of the University of Florence gladly agreed to assemble a 'sampler' of recent Italian logical and analytical work on the philosophical foundations of mathematics and physics, along with a number of historical studies of epistemological and mathematical concepts. The twenty-five essays that form this volume will, we expect, encourage English-reading philosophers and scientists to seek further works by these authors and by their teachers, colleagues, and students; and, we hope, to look for those other Italian currents of thought in the philosophy of science for which points of departure are not wholly analytic, and which also deserve study and recognition in the world wide philosophical community. Of course, Italy has long been related to that world community in scien titlc matters.
The selections contained in these volumes from the papers and letters of Leibniz are intended to serve the student in two ways: first, by providing a more adequate and balanced conception of the full range and penetration of Leibniz's ...
Author: G.W. Leibniz
Publisher: Springer Science & Business Media
The selections contained in these volumes from the papers and letters of Leibniz are intended to serve the student in two ways: first, by providing a more adequate and balanced conception of the full range and penetration of Leibniz's creative intellectual powers; second, by inviting a fresher approach to his intellectual growth and a clearer perception of the internal strains in his thinking, through a chronological arrangement. Much confusion has arisen in the past through a neglect of the develop ment of Leibniz's ideas, and Couturat's impressive plea, in his edition of the Opuscu/es et fragments (p. xii), for such an arrangement is valid even for incomplete editions. The beginning student will do well, however, to read the maturer writings of Parts II, III, and IV first, leaving Part I, from a period too largely neglected by Leibniz criticism, for a later study of the still obscure sources and motives of his thought. The Introduction aims primarily to provide cultural orientation and an exposition of the structure and the underlying assumptions of the philosophical system rather than a critical evaluation. I hope that together with the notes and the Index, it will provide those aids to the understanding which the originality of Leibniz's scientific, ethical, and metaphysical efforts deserve.
Hence , for Leibniz , logic had to serve a double function ; it had to offer proofs for
the existence and structure of the divine source of all things , and also to further
the arts and sciences . These two functions of logic , bearing on theology and the
Author: Philip P. Wiener
Publisher: Macmillan Publishing Company
From the Introduction: Gottfried Wilhelm Freiherr von Leibniz (1646-1716) belonged not only to that century but exemplified also the Renaissance ideal of the universal man in his many-sided activities, and ushered in The Age of the Enlightment as well. He was a lawyer, scientist, inventor, diplomat, poet, philologist, logician, moralist, theologian, historian, and a philosopher who religiously defended the cultivation of reason as the radiant hope of human progress. Leibniz's writings are both the delight and despair of students of his many-sided thought. They are a delight to a wide variety of scholars because they contain brilliant apercus suggestive of many new ideas in the development of modern scientific and philosophic thought.
A History of the Sciences Stephen Finney Mason. structure . Leibniz supposed
that the world was made up of a number of units , or monads as he termed them ,
which were non - material centres of vital force . The monads of Leibniz , like ...
concludes that our scientific terms get what semantic content they have simply
from their place in our total fabric of ... in a theory must somehow get its semantic
content from such a structure of generalisations and observational procedures .
Yet , unless we make them clear , we cannot grasp the real meaning of Leibniz's
philosophy . In the present study , therefore , the author makes researches into
his unique discoveries in sciences and tries to clarify the fundamental structure of
To advance science a huge effort is necessary even in its normal , day - to - day
operation , and only rarely is a ... time ; an example is differential - integral
calculus , invented all but simultaneously and independently by Newton and Leibniz .
But here I shall say merely that by “ the philosophy of Leibniz ” I mean something
more than a structure of terms ... lurks a danger that questions will be begged by
taking for granted particular ways of conceiving and delimiting the sciences .