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Author: Jan J.T. Srzednicki Publisher: Springer Science & Business Media ISBN: 940092741X Category : Philosophy Languages : en Pages : 191
Book Description
Stanislaw Lesniewski (1886-1939) was one of the leading Polish logicians and founders of the Warsaw School of Logic whose membership included, beside himself, Jan Lukasiewicz, Tadeusz Kotarbinski, Alfred Tarski, and many others. In his lifetime LeSniewski published only a few hundred pages. He produced many important results in many areas of mathematics; these stood in various relations to each other, and to materials produced by others, and, in time, created more and more editorial problems. Very many were left unpublished at the time of his death. Then in 1944 in the fire of Warsaw the whole of this material was burned and lost -a considerable loss since a great deal of what is important could have been reconstructed from these notes. The present publication aims at presenting unique Lesniewski's materials from alternative sources comprising lecture notes taken during some of Lesniewski's lectures and seminars delivered at the University of Warsaw be tween the two world wars. The editors are aware of the limitations of student notes which cannot compensate for the loss of the original materials. However, they are unique in reflecting Lesniewski's ideas as he himself presented them. Already at the time of his death it was realized that these notes would provide a unique access to Lesniewski's own thought as well as a valuable record of some of the activities of the Warsaw School of Logic.
Author: Jan J.T. Srzednicki Publisher: Springer Science & Business Media ISBN: 940092741X Category : Philosophy Languages : en Pages : 191
Book Description
Stanislaw Lesniewski (1886-1939) was one of the leading Polish logicians and founders of the Warsaw School of Logic whose membership included, beside himself, Jan Lukasiewicz, Tadeusz Kotarbinski, Alfred Tarski, and many others. In his lifetime LeSniewski published only a few hundred pages. He produced many important results in many areas of mathematics; these stood in various relations to each other, and to materials produced by others, and, in time, created more and more editorial problems. Very many were left unpublished at the time of his death. Then in 1944 in the fire of Warsaw the whole of this material was burned and lost -a considerable loss since a great deal of what is important could have been reconstructed from these notes. The present publication aims at presenting unique Lesniewski's materials from alternative sources comprising lecture notes taken during some of Lesniewski's lectures and seminars delivered at the University of Warsaw be tween the two world wars. The editors are aware of the limitations of student notes which cannot compensate for the loss of the original materials. However, they are unique in reflecting Lesniewski's ideas as he himself presented them. Already at the time of his death it was realized that these notes would provide a unique access to Lesniewski's own thought as well as a valuable record of some of the activities of the Warsaw School of Logic.
Author: Rafal Urbaniak Publisher: Springer Science & Business Media ISBN: 3319004824 Category : Science Languages : en Pages : 240
Book Description
This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.
Author: Jan J.T. Srzednicki Publisher: Springer Science & Business Media ISBN: 9401157367 Category : Philosophy Languages : en Pages : 322
Book Description
Between the two world wars, Stanislaw Lesniewski (1886-1939), created the famous and important system of foundations of mathematics that comprises three deductive theories: Protothetic, Ontology, and Mereology. His research started in 1914 with studies on the general theory of sets (later named `Mereology'). Ontology followed between 1919 and 1921, and was the next step towards an integrated system. In order to combine these two systematically he constructed Protothetic - the system of `first principles'. Together they amount to what Z. Jordan called `... most thorough, original, and philosophically significant attempt to provide a logically secure foundation for the whole of mathematics'. The volume collects many of the most significant commentaries on, and contributions to, Protothetic. A Protothetic Bibliography is included.
Author: L. Albertazzi Publisher: Springer Science & Business Media ISBN: 9401586764 Category : Philosophy Languages : en Pages : 516
Book Description
The central idea developed by the contributions to this book is that the split between analytic philosophy and phenomenology - perhaps the most impor tant schism in twentieth-century philosophy - resulted from a radicalization of reciprocal partialities. Both schools of thought share, in fact, the same cultural background and their same initial stimulus in the thought of Franz Brentano. And one outcome of the subsequent rift between them was the oblivion into which the figure and thought of Brentano have fallen. The first step to take in remedying this split is to return to Brentano and to reconstruct the 'map' of Brent ani sm. The second task (which has been addressed by this book) is to revive inter est in the theoretical complexity of Brentano' s thought and of his pupils and to revitalize those aspects that have been neglected by subsequent debate within the various movements of Brentanian inspiration. We have accordingly decided to organize the book into two introductory es says followed by two sections (Parts 1 and 2) which systematically examine Brentano's thought and that of his followers. The two introductory essays re construct the reasons for the 'invisibility', so to speak, of Brentano and set out of his philosophical doctrine. Part 1 of the book then ex the essential features amines six of Brentano's most outstanding pupils (Marty, Stumpf, Meinong, Ehrenfels, Husserl and Twardowski). Part 2 contains nine essays concentrating on the principal topics addressed by the Brentanians.
Author: Zdzistaw Augustynek Publisher: Springer Science & Business Media ISBN: 9401137064 Category : Science Languages : en Pages : 146
Book Description
This book is dedicated to the memory of Professor Henryk Mehlberg, primarily because I want to recall his name to readers in the West; for, although Professor Mehlberg was the foremost Polish philosopher in the field of philosophy of time-in that version which is related to twentieth century physics-his fundamental work concerning time was published in English 43 years after its original publication (cf. Mehlberg, 1980). I am deeply indebted to Henryk Mehlberg. For two years after the Second World War, I was his student at Wroclaw University (where he lectured on philosophy and mathematical logic). At that time, I developed, under his influence, a long-life fascination with the philosophy of time, and was taught by him how to approach these problems effectively. My research in this field has resulted in three books. The first, Prop erties of Time, published (in Polish) in 1970, concerns the topological properties and properties of symmetry (homogeneity and anisotropy) of time. The second, The Nature of Time, published (in Polish) in 1975, looks at possible definitions of time within both theories of relativity. The present book is the third, originally published (in Polish) in 1979; it concerns philosophical problems of past, present, and future and is here presented in English to reach a wider audience.
Author: P.J. Hager Publisher: Springer Science & Business Media ISBN: 9401108447 Category : Philosophy Languages : en Pages : 208
Book Description
The general view of Russell's work amongst philosophers has been that repeat edly, during his long and distinguished career, crucial changes of mind on fun damental points were significant enough to cause him to successively adopt a diversity of radically new philosophical positions. Thus Russell is seen to have embraced and then abandoned, amongst others, neo-Hegelianism, Platonic re alism, phenomenalism and logical atomism, before settling finally on a form of neutral monism that philosophers have generally found to be incredible. This view of Russell is captured in C. D. Broad's famous remark that "Mr. Russell pro duces a different system of philosophy every few years . . . " (Muirhead, 1924: 79). Reflecting this picture of Russell continually changing his position, books and papers on Russell's philosophy have typically belonged to one of two kinds. Either they have concentrated on particular periods of his thought that are taken to be especially significant, or, accepting the view of his successive conversion to dis tinctly different philosophical positions, they have provided some account of each of these supposedly disconnected periods of his thought. While much good work has been done on Russell's philosophy, this framework has had its limitations, the main one being that it conceals the basic continuity behind his thought.
Author: A. J. Cotnoir Publisher: Oxford University Press ISBN: 0198749007 Category : Philosophy Languages : en Pages : 422
Book Description
Is a whole something more than the sum of its parts? Are there things composed of the same parts? If you divide an object into parts, and divide those parts into smaller parts, will this process ever come to an end? Can something lose parts or gain new ones without ceasing to be the thing it is? Does any multitude of things (including disparate things such as you, this book, and the tail of a cat) compose a whole of some sort? Questions such as these have occupied us for at least as long as philosophy has existed. They define the field that has come to be known as mereology-the study of all relations of part to whole and of part to part within a whole-and have deep and far-reaching ramifications in metaphysics as well as in logic, the foundations of mathematics, the philosophy of language, the philosophy of science, and beyond. In Mereology, A. J. Cotnoir and Achille C. Varzi have compiled decades of advanced research into a comprehensive, up-to-date, and formally rigorous picture. The early chapters cover the more classical aspects of mereology; the rest of the book deals with variants and extensions. Whether you are an established professional philosopher, an interested student, or a newcomer, inside you will find all the tools you need to join this ever-evolving field of inquiry and theorize about all things mereological.
Author: Larry B. Rainey Publisher: CRC Press ISBN: 1351694855 Category : Technology & Engineering Languages : en Pages : 548
Book Description
This book examines the nature of emergence in context of man-made (i.e. engineered) systems, in general, and system of systems engineering applications, specifically. It investigates emergence to interrogate or explore the domain space from a modeling and simulation perspective to facilitate understanding, detection, classification, prediction, control, and visualization of the phenomenon. Written by leading international experts, the text is the first to address emergence from an engineering perspective. "System engineering has a long and proud tradition of establishing the integrative view of systems. The field, however, has not always embraced and assimilated well the lessons and implications from research on complex adaptive systems. As the editors’ note, there have been no texts on Engineering Emergence: Principles and Applications. It is therefore especially useful to have this new, edited book that pulls together so many of the key elements, ranging from the theoretical to the practical, and tapping into advances in methods, tools, and ways to study system complexity. Drs. Rainey and Jamshidi are to be congratulated both for their vision of the book and their success in recruiting contributors with so much to say. Most notable, however, is that this is a book with engineering at its core. It uses modeling and simulation as the language in which to express principles and insights in ways that include tight thinking and rigor despite dealing with notably untidy and often surprising phenomena." — Paul K. Davis, RAND and Frederick S. Pardee RAND Graduate School The first chapter is an introduction and overview to the text. The book provides 12 chapters that have a theoretical foundation for this subject. Includes 7 specific example chapters of how various modeling and simulation paradigms/techniques can be used to investigate emergence in an engineering context to facilitate understanding, detection, classification, prediction, control and visualization of emergent behavior. The final chapter offers lessons learned and the proposed way-ahead for this discipline.
Author: Jan J.T. Srzednicki Publisher: Springer Science & Business Media ISBN: 9401735425 Category : Philosophy Languages : en Pages : 278
Book Description
l. THE GENERAL PROBLEM OF EPISTEMOLOGY There is a philosophical issue that surely precedes all other possible questions. It concerns the very possibility of our thinking about some thing to some purpose. Short of this no philosophy, theory or research would be possible. But it is not immediately clear that we are assured that what purports to be effective thought, and cognition is such in reality. What guarantee is there for instance that when one is under the impression that one is thinking that "the cat is on the mat" it is in fact the case that one is thinking this? One could not be thinking at all, only having a misleading mystic experience. And then even if one was thinking, one might not be really thinking of the cat being on the mat, but only that one wishes there was a cat, and wonders whether if there was it would be on the mat, and yet the subjective impression was that one was thinking: "The cat is on the mat" (the same picture might stand for both the thoughts mentioned). Then one might in some way try to think 'the cat is on the mat. ' yet be mistaken in that there aren't any material objects at all, and all one does is to inventory god's perceptions. And so on, and so on! These are of course the kind of problem that the layman habitually views with disdainful alarm.
Author: Stewart Shapiro Publisher: Oxford University Press ISBN: 0192537490 Category : Philosophy Languages : en Pages : 320
Book Description
Mathematical and philosophical thought about continuity has changed considerably over the ages. Aristotle insisted that continuous substances are not composed of points, and that they can only be divided into parts potentially. There is something viscous about the continuous. It is a unified whole. This is in stark contrast with the prevailing contemporary account, which takes a continuum to be composed of an uncountably infinite set of points. This vlume presents a collective study of key ideas and debates within this history. The opening chapters focus on the ancient world, covering the pre-Socratics, Plato, Aristotle, and Alexander. The treatment of the medieval period focuses on a (relatively) recently discovered manuscript, by Bradwardine, and its relation to medieval views before, during, and after Bradwardine's time. In the so-called early modern period, mathematicians developed the calculus and, with that, the rise of infinitesimal techniques, thus transforming the notion of continuity. The main figures treated here include Galileo, Cavalieri, Leibniz, and Kant. In the early party of the nineteenth century, Bolzano was one of the first important mathematicians and philosophers to insist that continua are composed of points, and he made a heroic attempt to come to grips with the underlying issues concerning the infinite. The two figures most responsible for the contemporary orthodoxy regarding continuity are Cantor and Dedekind. Each is treated in an article, investigating their precursors and influences in both mathematics and philosophy. A new chapter then provides a lucid analysis of the work of the mathematician Paul Du Bois-Reymond, to argue for a constructive account of continuity, in opposition to the dominant Dedekind-Cantor account. This leads to consideration of the contributions of Weyl, Brouwer, and Peirce, who once dubbed the notion of continuity "the master-key which . . . unlocks the arcana of philosophy". And we see that later in the twentieth century Whitehead presented a point-free, or gunky, account of continuity, showing how to recover points as a kind of "extensive abstraction". The final four chapters each focus on a more or less contemporary take on continuity that is outside the Dedekind-Cantor hegemony: a predicative approach, accounts that do not take continua to be composed of points, constructive approaches, and non-Archimedean accounts that make essential use of infinitesimals.
Author: Jan J.T. Srzednicki
Author: Jan J.T. Srzednicki
Author: Rafal Urbaniak
Author: Jan J.T. Srzednicki
Author: L. Albertazzi
Author: Zdzistaw Augustynek
Author: P.J. Hager
Author: A. J. Cotnoir
Author: Larry B. Rainey
Author: Jan J.T. Srzednicki
Author: Stewart Shapiro