Mathematical logic

This book argues for a view in which processes of dialogue and interaction are taken to be foundational to reasoning, logic, and meaning.

The Description Logic Handbook - unique reference in field of knowledge representation.

Since the introduction of genetic algorithms in the 1970s, an enormous number of articles together with several significant monographs and books have been published on this methodology.

The present collection of seventeen papers, most of them already published in international philosophical journals, deals both with issues in the philosophy of logic, the philosophy of mathematics, the philosophy of language and epistemology.

The Asian Logic Conference is part of the series of logic conferences inaugurated in Singapore in 1981.

Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry.

The geometry of almost complex structures is fundamentally concerned with complex analysis and also mathematical physics.

While many books have been written about Bertrand Russell's philosophy and some on his logic, I.

Intelligent decision support is based on human knowledge related to a specific part of a real or abstract world.

Offers a self-contained work presenting basic ideas, classical results, current state of the art and possible future directions in proof complexity.

Als mehrbändiges Nachschlagewerk ist das Springer-Handbuch der Mathematik in erster Linie für wissenschaftliche Bibliotheken, akademische Institutionen und Firmen sowie interessierte Individualkunden in Forschung und Lehre gedacht.

Introductory logic is generally taught as a straightforward technical discipline.

Model Validation and Uncertainty Quantification, Volume 3: Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics, 2023, the third volume of ten from the Conference brings together contributions to this important area of research and engineering.

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Philosophy of mathematics today has transformed into a very complex network of diverse ideas, viewpoints, and theories.

This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis.

This is a charming and insightful contribution to an understanding of the "e;Science Wars"e; between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy.

This volume contains English translations of Godel's chapters on logicism and the antinomies and on the calculi of pure logic, as well as outlines for a chapter on metamathematics.

This book analyses an inconsistency within epistemic contextualism known as the factivity problem.

Provides a unique and methodologically consistent treatment of various areas of fuzzy modeling and includes the results of mathematical fuzzy logic and linguistics This book is the result of almost thirty years of research on fuzzy modeling.

This book uses algebraic tools to study the elementary properties of classes of fields and related algorithmic problems.

Methods Used to Solve Discrete Math ProblemsInteresting examples highlight the interdisciplinary nature of this areaPearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures.

Why are there paradoxes?

Fuzzy logic in narrow sense is a promising new chapter of formal logic whose basic ideas were formulated by Lotfi Zadeh (see Zadeh [1975]a).

This book illustrates the program of Logical-Informational Dynamics.

Fuzzy Set Theory and Advanced Mathematical Applications contains contributions by many of the leading experts in the field, including coverage of the mathematical foundations of the theory, decision making and systems science, and recent developments in fuzzy neural control.

This book presents a new nominalistic philosophy of mathematics: semantic conventionalism.

Das Unendliche hat wie keine andere Frage von jeher so tief das Gemüt der Menschen bewegt," das Unendliche hat wie kaum eine andere Idee auf den Verstand so an­ regend und fruchtbar gewirkt," das Unendliche ist aber auch wie kein anderer Begriff so der Aufklärung bedürftig.

Mathematics and logic have been central topics of concern since the dawn of philosophy.

This book addresses the topics related to artificial intelligence, the Internet of Things, blockchain technology, and machine learning.

This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan- dardization of the mathematics of fuzzy sets established in the "e;Handbook"e;, namely the Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Volume 3 of The Handbooks of Fuzzy Sets Series (Kluwer Academic Publish- ers, 1999).

This volume offers English translations of three early works by Ernst Schroder (1841-1902), a mathematician and logician whose philosophical ruminations and pathbreaking contributions to algebraic logic attracted the admiration and ire of figures such as Dedekind, Frege, Husserl, and C.

This book presents eleven peer-reviewed papers from the 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2017) held in Tbilisi, Georgia in December 2017.

This book discusses major milestones in Rohit Jivanlal Parikh's scholarly work.

In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision and philosophical insight.

The Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities essential to our best scientific theories.

Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory.

The present monograph intends to establish a solid link among three fields: fuzzy set theory, information retrieval, and cluster analysis.

This textbook covers key topics of Elementary Calculus through selected exercises, in a sequence that facilitates development of problem-solving abilities and techniques.

Quantum Structures and the Nature of Reality is a collection of papers written for an interdisciplinary audience about the quantum structure research within the International Quantum Structures Association.

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These notes give a self-contained treatment of the theory of o-minimal structures.

The recent development of the fuzzy set theory has given scientists the opportunity to model under conditions which are vague or not precisely defined, thus succeeding to solve mathematically problems whose statements are expressed in our natural language.

The book offers a collection of essays on various aspects of Leibniz's scientific thought, written by historians of science and world-leading experts on Leibniz.

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This monograph looks at causal nets from a philosophical point of view.

This book presents an in-depth and critical reconstruction of Prawitz's epistemic grounding, and discusses it within the broader field of proof-theoretic semantics.