Mathematical logic

Model Validation and Uncertainty Quantification, Volume 3:  Proceedings of the 39th IMAC, A Conference and Exposition on Structural Dynamics, 2021, the third volume of nine from the Conference brings together contributions to this important area of research and engineering.

Fuzzy data such as marks, scores, verbal evaluations, imprecise observations, experts' opinions and grey tone pictures, are quite common.

This book is an essay on the epistemology of classifications.

This monograph is intended for an advanced undergraduate or graduate course as well as for researchers, who want a compilation of developments in this rapidly growing field of operations research.

The main item in the present volume was published in 1930 under the title Das Unendliche in der Mathematik und seine Ausschaltung.

This bookgathers the proceedings of the conference "e;Cultures of Mathematics andLogic,"e; held in Guangzhou, China.

Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials.

This text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students.

A systematic logical study of dependence also providing a precise treatment of independence friendly logic.

This textbook gives a comprehensive and modern introduction to mathematical logic at the upper-undergraduate and beginning graduate level.

Logicians have developed beautiful algorithmic techniques for the construction of computably enumerable sets.

This contributed volume explores the ways logical skills have been perceived over the course of history.

Proceedings of the conference ''Logical Foundations of Mathematics, Computer Science, and Physics - Kurt Gödel''s Legacy'', held in 1996.

This book is an account of the important influence on the development of mathematical logic of Charles S.

This Festschrift was published in honor of Egon Borger on the occasion of his 75th birthday.

As an intermediate model between conventional PKC and ID-PKC, CL-PKC can avoid the heavy overhead of certificate management in traditional PKC as well as the key escrow problem in ID-PKC altogether.

When we learn, we change what we believe and how we interact with the world.

The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants.

Surveys recent interactions between model theory and other branches of mathematics, notably group theory.

This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras.

Since its inception, fuzzy logic has attracted an incredible amount of interest, and this interest continues to grow at an exponential rate.

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic.

This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area.

The Most Progressive and Complete Guide to DDO-Based CiphersDevelopers have long recognized that ciphers based on Permutation Networks (PNs) and Controlled Substitution-Permutation Networks (CSPNs) allow for the implementation of a variety of Data Driven Operations (DDOs).

This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations.

This book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively.

Innovative Teaching: Best Practices from Business and Beyond for Mathematics Teachers provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world - and beyond - are applicable to the world of education.

Primarily, this book addresses beginning graduate students expecting to become mathematicians or mathematically oriented computer scientists.

This volume presents recent advances in philosophical logic with chapters focusing on non-classical logics, including paraconsistent logics, substructural logics, modal logics of agency and other modal logics.

Mathematical Logic: An Introduction is a textbook that uses mathematical tools to investigate mathematics itself.

This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist.

This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G.

Belief change is an emerging field of artificial intelligence and information science dedicated to the dynamics of information and the present book provides a state-of-the-art picture of its formal foundations.

From the very beginning of their investigation of human reasoning, philosophers have identified two other forms of reasoning, besides deduction, which we now call abduction and induction.

Fuzzy Control of Industrial Systems: Theory and Applications presents the basic theoretical framework of crisp and fuzzy set theory, relating these concepts to control engineering based on the analogy between the Laplace transfer function of linear systems and the fuzzy relation of a nonlinear fuzzy system.

An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role.

This edited volume collects essays on the four-valued logic known as Belnap-Dunn logic, or first-degree entailment logic (FDE).

This textbook rescues students from traditional, dry and uninspiring introductory courses in logic, quickly providing context using genuine mathematical applications.

Quantitative thinking is our inclination to view natural and everyday phenomena through a lens of measurable events, with forecasts, odds, predictions, and likelihood playing a dominant part.

Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable.

Keeping students involved and actively learning is challenging.

Gottlob Freges Begriffsschrift zählt zu den außergewöhnlichsten Schriften der Logikgeschichte.

Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations.