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Author: V.F. Rickey
Publisher: Springer Science & Business Media
ISBN: 9400960891
Category : Philosophy
Languages : en
Pages : 259
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Book Description
Author: V.F. Rickey
Publisher: Springer Science & Business Media
ISBN: 9400960891
Category : Philosophy
Languages : en
Pages : 259
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Book Description
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.
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.
Author: Eugene C. Luschei
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 380
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Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 314
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Book Description
Author: Lech Polkowski
Publisher: Springer Science & Business Media
ISBN: 364222279X
Category : Technology & Engineering
Languages : en
Pages : 356
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Book Description
The monograph offers a view on Rough Mereology, a tool for reasoning under uncertainty, which goes back to Mereology, formulated in terms of parts by Lesniewski, and borrows from Fuzzy Set Theory and Rough Set Theory ideas of the containment to a degree. The result is a theory based on the notion of a part to a degree. One can invoke here a formula Rough: Rough Mereology : Mereology = Fuzzy Set Theory : Set Theory. As with Mereology, Rough Mereology finds important applications in problems of Spatial Reasoning, illustrated in this monograph with examples from Behavioral Robotics. Due to its involvement with concepts, Rough Mereology offers new approaches to Granular Computing, Classifier and Decision Synthesis, Logics for Information Systems, and are--formulation of well--known ideas of Neural Networks and Many Agent Systems. All these approaches are discussed in this monograph. To make the exposition self--contained, underlying notions of Set Theory, Topology, and Deductive and Reductive Reasoning with emphasis on Rough and Fuzzy Set Theories along with a thorough exposition of Mereology both in Lesniewski and Whitehead--Leonard--Goodman--Clarke versions are discussed at length. It is hoped that the monograph offers researchers in various areas of Artificial Intelligence a new tool to deal with analysis of relations among concepts.
Author:
Publisher:
ISBN:
Category : Civilization, Modern
Languages : en
Pages : 462
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Book Description
Toward synergy of civilizations.
Author: Ladislav Kohout
Publisher: Chapman & Hall
ISBN:
Category : Artificial intelligence
Languages : en
Pages : 280
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Book Description
This is aimed at the professionals in various disciplines concerned wiht intelligent systems, such as information technology (expert systems, robotics, decision support systems, etc.) and the life sciences (brain sciences, neurobiology, psychology, and medicine). It may also be read by mathematicians and logicians who wish to apply their formal skils to this interesting field. This book is not easy reading. In order to avoid superficiality, it is necessary to have sufficient depth as well as breadth.
Author:
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 758
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Book Description
Author: Alonzo Church
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 796
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Book Description
Includes lists of members.
