Lesniewskis Systems Of Logic And Foundations Of Mathematics

Author : Rafal Urbaniak
Publisher : Springer Science & Business Media
ISBN 13 : 3319004824
Total Pages : 240 pages
Book Rating : 4.22/5 ( download)

DOWNLOAD NOW!

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 240 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.​

Author : Jan J.T. Srzednicki
Publisher : Springer Science & Business Media
ISBN 13 : 9401157367
Total Pages : 322 pages
Book Rating : 4.60/5 ( download)

DOWNLOAD NOW!

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.

Author : Rafal Urbaniak
Publisher :
ISBN 13 : 9783319004839
Total Pages : 244 pages
Book Rating : 4.32/5 ( download)

DOWNLOAD NOW!

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:

Author : Eugene C. Luschei
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.91/5 ( download)

DOWNLOAD NOW!

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:

Author : Jan J.T. Srzednicki
Publisher : Springer Science & Business Media
ISBN 13 : 940092741X
Total Pages : 191 pages
Book Rating : 4.14/5 ( download)

DOWNLOAD NOW!

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.

Author : Richard L. Epstein
Publisher : Princeton University Press
ISBN 13 : 1400841550
Total Pages : 545 pages
Book Rating : 4.54/5 ( download)

DOWNLOAD NOW!

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.

Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 9780080957500
Total Pages : 360 pages
Book Rating : 4.01/5 ( download)

DOWNLOAD NOW!

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

Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.01/5 ( download)

DOWNLOAD NOW!

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:

Author : Zuzana Rybaříková
Publisher : Vydavatelství Filozofické fakulty Univerzity Palackého v Olomouci
ISBN 13 : 8087895770
Total Pages : 134 pages
Book Rating : 4.71/5 ( download)

DOWNLOAD NOW!

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.

Author : Lech Polkowski
Publisher : Springer
ISBN 13 : 3319608371
Total Pages : 693 pages
Book Rating : 4.72/5 ( download)

DOWNLOAD NOW!

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).