Lesniewskis Systems Of Logic And Foundations Of Mathematics

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Leśniewski's Systems of Logic and Foundations of Mathematics

Author : Rafal Urbaniak
Publisher : Springer Science & Business Media
ISBN 13 : 3319004824
Total Pages : 229 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Leśniewski's Systems of Logic and Foundations of Mathematics by : Rafal Urbaniak

Download or read book Leśniewski's Systems of Logic and Foundations of Mathematics written by Rafal Urbaniak and published by Springer Science & Business Media. This book was released on 2013-09-24 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Jan J.T. Srzednicki
Publisher : Springer Science & Business Media
ISBN 13 : 9401157367
Total Pages : 322 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Leśniewski’s Systems Protothetic by : Jan J.T. Srzednicki

Download or read book Leśniewski’s Systems Protothetic written by Jan J.T. Srzednicki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Le Niewski's Systems of Logic and Foundations of Mathematics

Author : Rafal Urbaniak
Publisher :
ISBN 13 : 9783319004839
Total Pages : 244 pages
Book Rating : 4.0/5 (48 download)

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Book Synopsis Le Niewski's Systems of Logic and Foundations of Mathematics by : Rafal Urbaniak

Download or read book Le Niewski's Systems of Logic and Foundations of Mathematics written by Rafal Urbaniak and published by . This book was released on 2013-10-31 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Logical Systems of Lesniewski

Author : Eugene C. Luschei
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Logical Systems of Lesniewski by : Eugene C. Luschei

Download or read book The Logical Systems of Lesniewski written by Eugene C. Luschei and published by . This book was released on 1962 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

S. Leśniewski’s Lecture Notes in Logic

Author : Jan J.T. Srzednicki
Publisher : Springer Science & Business Media
ISBN 13 : 940092741X
Total Pages : 191 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis S. Leśniewski’s Lecture Notes in Logic by : Jan J.T. Srzednicki

Download or read book S. Leśniewski’s Lecture Notes in Logic written by Jan J.T. Srzednicki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Classical Mathematical Logic

Author : Richard L. Epstein
Publisher : Princeton University Press
ISBN 13 : 1400841550
Total Pages : 545 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Classical Mathematical Logic by : Richard L. Epstein

Download or read book Classical Mathematical Logic written by Richard L. Epstein and published by Princeton University Press. This book was released on 2011-12-18 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations. The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference. Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations.

Principia Mathematica

Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.L/5 ( download)

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Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Provability, Computability and Reflection

Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 9780080957500
Total Pages : 360 pages
Book Rating : 4.9/5 (575 download)

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Book Synopsis Provability, Computability and Reflection by : Lev D. Beklemishev

Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

The Reconstruction of A. N. Prior's Ontology

Author : Zuzana Rybaříková
Publisher : Vydavatelství Filozofické fakulty Univerzity Palackého v Olomouci
ISBN 13 : 8087895770
Total Pages : 134 pages
Book Rating : 4.0/5 (878 download)

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Book Synopsis The Reconstruction of A. N. Prior's Ontology by : Zuzana Rybaříková

Download or read book The Reconstruction of A. N. Prior's Ontology written by Zuzana Rybaříková and published by Vydavatelství Filozofické fakulty Univerzity Palackého v Olomouci. This book was released on with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the first analytic philosophers were primarily focused on the logical analysis of language, some of their initial works also contained ontological discussions. One of the most distinct ontological positions of the twentieth century was defended by Arthur Norman Prior. The unusual nature of the position could be demonstrated by the fact that he was ascribed to such divergent positions as nominalism and platonism. This might have been caused by his atypical combination of ontological views. He was, on the one hand, a nominalist in his mature works. On the other hand, he advocated intensional logic and presentism. The aim of this study is to reconstruct the ideas which influenced him as he formulated his ontological positions. Not only are Prior’s ideas introduced, but also the ideas of his precursors and contemporaries who influenced him. In contrast, the ideas of logicians and philosophers who Prior opposed are also presented. The dissertation consists of four parts which deal with Prior’s concepts of possible worlds, theories of quantifications, propositions and individuals. It is a historical study and therefore the polemics which arose after Prior’s death are not discussed.

Logical Semiotics and Mereology

Author : Richard M. Martin
Publisher : John Benjamins Publishing
ISBN 13 : 9027232881
Total Pages : 297 pages
Book Rating : 4.0/5 (272 download)

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Book Synopsis Logical Semiotics and Mereology by : Richard M. Martin

Download or read book Logical Semiotics and Mereology written by Richard M. Martin and published by John Benjamins Publishing. This book was released on 1992 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume are concerned with a variety of vitally important topics in philosophical logic, the philosophy of language, the philosophy of mathematics, the philosophy of science, and in the application of modern logic to wider philosophical problems. All of them make fundamental use, in one way or another, of logical semiotics, the modern trivium of systematic syntax, semantics, and pragmatics, and some of them, of mereology, the general theory of parts and whole. The book includes 20 articles, dealing with such subjects as 'Logical semiotics and logistic grammar', 'The semiotics of mathematical practice', 'Husserlian parts and wholes', 'Compound individuals and the languages of science', and discusses work of Geach, Lesniewski, Carnap, Peirce, and Quine.

Logic and Philosophy in the Lvov—Warsaw School

Author : Jan Wolenski
Publisher : Springer Science & Business Media
ISBN 13 : 9400925816
Total Pages : 386 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Logic and Philosophy in the Lvov—Warsaw School by : Jan Wolenski

Download or read book Logic and Philosophy in the Lvov—Warsaw School written by Jan Wolenski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lvov-Warsaw School was active in all spheres of philosophy. Its members worked in the border area between philosophy and disci plines such as psychology, linguistics, and literary theory. But its most important achievements were without doubt in logic and philosophical analysis based on logic. The present book is concerned with fields to which the Lvov-Warsaw School made its most important and famous contributions. Data on the School as a whole are included only in the first and last part of the book. This work is based on my monograph (1985), which appeared in Polish. But it is not merely a translation, because some fragments of the Polish version have been omitted (e. g., the chapter on ethics), and some have been revised. Many persons helped me in my work on the book in Polish as well as on the present edition. I must first mention the late Izydora D~mbska, to whom this book is dedicated. On various detailed issues I have availed myself of advice and information given to me by Stefan Amsterdamski, Zdzislaw Augustynek, Kazimierz Czarnota, Henryk Hii, Boleslaw Iwanus, Jacek Jadacki, Jacek KabziIiski, Stanislaw Kiczuk, Tomasz Komendzinski, Janina Kotarbinska, Czeslaw Lejewski, Jerzy Perzanowski, Marian Przet~cki, the late Jerzy Slupecki, Klemens Szaniawski, Stefan Zamecki, Zbigniew Zwinogrodzki i Jan Zygmunt. I am indebted to Jaakko Hintikka for suggesting that my book be trans lated into English and published by Reidel. Olgierd Wojtasiewicz helped me to prepare the English text.

Rough Sets

Author : Lech Polkowski
Publisher : Springer
ISBN 13 : 3319608371
Total Pages : 693 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Rough Sets by : Lech Polkowski

Download or read book Rough Sets written by Lech Polkowski and published by Springer. This book was released on 2017-06-22 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set LNAI 10313 and LNAI 10314 constitutes the proceedings of the International Joint Conference on Rough Sets, IJCRS 2017, held in Olsztyn, Poland, in July 2017. The 74 revised full papers presented together with 16 short papers and 16 invited talks, were carefully reviewed and selected from 130 submissions. The papers in this two set-volume of IJCRS 2017 follow the track already rutted by RSCTC and JRS conferences which aimed at unification of many facets of rough set theory from theoretical aspects of the rough set idea bordering on theory of concepts and going through algebraic structures, topological structures, logics for uncertain reasoning, decision algorithms, relations to other theories of vagueness and ambiguity, then to extensions of the rough set idea like granular structures, rough mereology, and to applications of the idea in diverse fields of applied science including hybrid methods like rough-fuzzy, neuro-rough, neuro-rough-fuzzy computing. IJCRS 2017 encompasses topics spread among four main tracks: Rough Sets and Data Science (in relation to RSCTC series organized since 1998); Rough Sets and Granular Computing (in relation to RSFDGrC series organized since 1999); Rough Sets and Knowledge Technology (in relation to RSKT series organized since 2006); and Rough Sets and Intelligent Systems (in relation to RSEISP series organized since 2007).

Logic, Semantics, Metamathematics

Author : Alfred Tarski
Publisher : Hackett Publishing
ISBN 13 : 9780915144761
Total Pages : 542 pages
Book Rating : 4.1/5 (447 download)

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Book Synopsis Logic, Semantics, Metamathematics by : Alfred Tarski

Download or read book Logic, Semantics, Metamathematics written by Alfred Tarski and published by Hackett Publishing. This book was released on 1983-01-01 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Routledge Encyclopedia of Philosophy

Author : Edward Craig
Publisher :
ISBN 13 : 9780415187107
Total Pages : 890 pages
Book Rating : 4.1/5 (871 download)

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Book Synopsis Routledge Encyclopedia of Philosophy by : Edward Craig

Download or read book Routledge Encyclopedia of Philosophy written by Edward Craig and published by . This book was released on 1998 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume five of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.

The Foundations of Mathematics in the Theory of Sets

Author : John P. Mayberry
Publisher : Cambridge University Press
ISBN 13 : 9780521770347
Total Pages : 454 pages
Book Rating : 4.7/5 (73 download)

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Book Synopsis The Foundations of Mathematics in the Theory of Sets by : John P. Mayberry

Download or read book The Foundations of Mathematics in the Theory of Sets written by John P. Mayberry and published by Cambridge University Press. This book was released on 2000 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.

Syntacticism and Functional Completeness

Author : Odysseus Makridis
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527556379
Total Pages : 608 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Syntacticism and Functional Completeness by : Odysseus Makridis

Download or read book Syntacticism and Functional Completeness written by Odysseus Makridis and published by Cambridge Scholars Publishing. This book was released on 2023-12-21 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constructs an idealized version of what the author calls syntacticism, a school of thought in the philosophy of logic which is congenial to analytical philosophy, logical positivism, and anti-metaphysical nominalism. It examines in detail both technical metalogical and broad philosophic issues associated with this way of thinking about logic, and specifically addresses anomalies around symbolic expressivity, which is crucial for this approach, with a view to provide both a deeper understanding and a critique. The range of fields and interests addressed include: the philosophy of logic, formal logic and mathematical logic, the analytical school of philosophy, logical positivism and nominalism, parallels between thinking about logic and the formalist school in the philosophy of mathematics, the history of modern logic, Wittgenstein’s Tractatus, Leśniewski’s protothetic, dialogue logic, and combinatorial logic.

Trends in Logic

Author : Vincent F. Hendricks
Publisher : Springer Science & Business Media
ISBN 13 : 9401735980
Total Pages : 384 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Trends in Logic by : Vincent F. Hendricks

Download or read book Trends in Logic written by Vincent F. Hendricks and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a series of papers by distinguished scholars reflecting both the aim and scope of this journal for symbolic logic.