The Logical Systems of Lesniewski

The Logical Systems of Lesniewski PDF Author: Eugene C. Luschei
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 380

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The Logical Systems of Lesniewski

The Logical Systems of Lesniewski PDF Author: Eugene C. Luschei
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 380

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Leśniewski's Systems of Logic and Foundations of Mathematics

Leśniewski's Systems of Logic and Foundations of Mathematics PDF Author: Rafal Urbaniak
Publisher: Springer Science & Business Media
ISBN: 3319004824
Category : Science
Languages : en
Pages : 240

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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.​

Leśniewski’s Systems Protothetic

Leśniewski’s Systems Protothetic PDF Author: Jan J.T. Srzednicki
Publisher: Springer Science & Business Media
ISBN: 9401157367
Category : Philosophy
Languages : en
Pages : 322

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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.

Leśniewski’s Systems

Leśniewski’s Systems PDF Author: V.F. Rickey
Publisher: Springer Science & Business Media
ISBN: 9400960891
Category : Philosophy
Languages : en
Pages : 259

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S. Leśniewski’s Lecture Notes in Logic

S. Leśniewski’s Lecture Notes in Logic PDF Author: Jan J.T. Srzednicki
Publisher: Springer Science & Business Media
ISBN: 940092741X
Category : Philosophy
Languages : en
Pages : 191

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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.

Logic from Russell to Church

Logic from Russell to Church PDF Author: Dov M. Gabbay
Publisher: Elsevier
ISBN: 0080885470
Category : Mathematics
Languages : en
Pages : 1069

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Book Description
This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration.• The entire range of modal logic is covered• Serves as a singular contribution to the intellectual history of the 20th century• Contains the latest scholarly discoveries and interpretative insights

The Heritage of Kazimierz Ajdukiewicz

The Heritage of Kazimierz Ajdukiewicz PDF Author:
Publisher: BRILL
ISBN: 9004457399
Category : Biography & Autobiography
Languages : en
Pages : 400

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Book Description
This book presents Kazimierz Ajdukiewicz's philosophy. Ajdukiewicz was one of the most distinguished and important philosophers of the contemporary Poland. He produced important ideas in logic, epistemology, philosophy of language, and ontology. He influenced Polish analytic philosophy very much. The collection gives a general account of Ajdukiewicz philosophy and it is the only full presentation of his ideas available in Western languages. The volume is of interest for everybody working in analytic philosophy.

Philosophy and Logic in Central Europe from Bolzano to Tarski

Philosophy and Logic in Central Europe from Bolzano to Tarski PDF Author: Peter M. Simons
Publisher: Springer Science & Business Media
ISBN: 9401580944
Category : Philosophy
Languages : en
Pages : 448

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Book Description
ways of doing it, but it is wrong to project it far into the past: it did not exist at the turn of the century and only became clearly apparent after the Second World War. I recently taught at an American university on the his tory of philosophy from Balzano to Husserl. The course title had to come from a fixed pool and gave trouble. Was it philosophical logic, the nine teenth century, or phenomenology? A logic title would connote over this period Frege, Russell, Carnap, perhaps a mention of Boole: not continental enough. The nineteenth century? The century of Kant's successors: Fichte, Hegel, Schopenhauer, Feuer bach, Marx, Nietzsche? What have they to do with Balzano, Lotze, Brentano, Meinong, Husserl and Twardowski? Even tually 'Phenomenology' was chosen, misdescribing more than half of the course. That illustrates the problems one faces in trying to work against the picture of the period which is ingrained in minds and syllabuses. This book arises from my efforts to combat that picture. I backed into writing about the history of recent philosophy rather than setting out to do so. The beginning was chance. In Manchester in the early seventies, at a time when most English philosophy departments breathed re cycled Oxford air, the intellectual atmosphere derived from Cambridge and Warsaw, spiced with a breath of Freiburg and Paris.

Biographical Dictionary of Twentieth-Century Philosophers

Biographical Dictionary of Twentieth-Century Philosophers PDF Author: Stuart Brown
Publisher: Routledge
ISBN: 1134927959
Category : Philosophy
Languages : en
Pages : 984

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Book Description
This Biographical Dictionary provides detailed accounts of the lives, works, influence and reception of thinkers from all the major philosophical schools and traditions of the twentieth-century. This unique volume covers the lives and careers of thinkers from all areas of philosophy - from analytic philosophy to Zen and from formal logic to aesthetics. All the major figures of philosophy, such as Nietzsche, Wittgenstein and Russell are examined and analysed. The scope of the work is not merely restricted to the major figures in western philosophy but also covers in depth a significant number of thinkers from the near and far east and from the non-European Hispanic-language communities. The Biographical Dictionary also includes a number of general entries dealing with important schools of philosophy, such as the Vienna Circle, or currents of thought, such as vitalism. These allow the reader to set the individual biographies in the context of the philosophical history of the period. With entries written by over 100 leading philosophy scholars, the Biographical Dictionary is the most comprehensive survey of twentieth-century thinkers to date. Structure The book is structured alphabetically by philosopher. Each entry is identically structured for ease of access and covers: * nationality * dates and places of birth and death * philosophical style or school * areas of interest * higher education * significant influences * main appointments * main publications * secondary literature * account of intellectual development and main ideas * critical reception and impact At the end of the book a glossary gives accounts of the schools, movements and traditions to which these philosophers belonged, and thorough indexes enable the reader to access the information in several ways: * by nationality * by major areas of contribution to philosophy e.g. aesthetics * by major influences on the thinker concerned e.g. Plato, Kant, Wittgenstein

From a Topical Point of View

From a Topical Point of View PDF Author: Peter Boschung
Publisher: BRILL
ISBN: 904741120X
Category : Philosophy
Languages : en
Pages : 356

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Book Description
This study of Anselm of Canterbury's enigmatic work De grammatico provides a perspective both on Anselm's thought and the history of medieval dialectic immediately prior to the renaissance of dialectic in the 12th century. The first part of the book examines Anselm's notion of dialectic and illustrates the role of De grammatico in the context of teaching dialectic. The second part of the book remarks the novelty of Anselm's way of treating fallacies and presents a full study of the technique for treating fallacies, its theoretical basis, and its application in the context of dialectic. The third part explores Anselm's theory of signification as it is presented in De grammatico and emphasizes its rich metaphysical underpinnings. Each part begins with a presentation of an assessment of the sources as they were available to Anselm, builds the interpretation of Anselm's ideas on this basis, and reflects on the relation of these ideas to 12th Century logical thought.