Mathematical foundations

This book constructs an inner model with a Woodin cardinal and develops its fine structure theory using the theory of iteration trees.

In order to perform effective analysis of today's information security systems, numerous components must be taken into consideration.

This book is about "e;delta"e;, a paradox logic.

Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity.

Logic is a field studied mainly by researchers and students of philosophy, mathematics and computing.

This introduction to mathematical logic takes Godel's incompleteness theorem as a starting point.

The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology.

Cyber-physical systems (CPSs) combine cyber capabilities, such as computation or communication, with physical capabilities, such as motion or other physical processes.

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot TheoryAn Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research.

This fourth volume of the book series combines propositional logic and R-calculus for a new point of view to consider belief revision.

Fuzzy geometric programming was originated by the author in the Proceed- ing of the second IFSA conferences, 1987(Tokyo) 14 years ago.

This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability.

This book reports the recent results obtained by Italian researchers in fuzzy logic.

Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences.

Physics World's 'Book of the Year' for 2016 An Entertaining and Enlightening Guide to the Who, What, and Why of String Theory, now also available in an updated reflowable electronic format compatible with mobile devices and e-readers.

With increasing demands for high precision autonomous control over wide operating envelopes, conventional control engineering approaches are unable to adequately deal with system complexity, nonlinearities, spatial and temporal parameter variations, and with uncertainty.

This book centers around a dialogue between Roger Penrose and Emanuele Severino about one of most intriguing topics of our times, the comparison of artificial intelligence and natural intelligence, as well as its extension to the notions of human and machine consciousness.

A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreationLogic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since.

The study of polynomial completeness of algebraic systems has only recently matured, and until now, lacked a unified treatment.

General concepts and methods that occur throughout mathematics - and now also in theoretical computer science - are the subject of this book.

In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century.

Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics.

Convergence of Blockchain, AI and IoT: A Digital Platform discusses the convergence of three powerful technologies that play into the digital revolution and blur the lines between biological, digital, and physical objects.

This engaging and beautifully written book gives an authoritative but accessible account of some of the most exciting and unexpected recent developments in theoretical physics.

Briefly, we review the basic elements of computability theory and prob- ability theory that are required.

Wondrous One Sheet Origami is a how-to book full of beautiful origami designs covering a wide range of folding levels from simple to high intermediate, with more emphasis on the latter.

Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.

This book presents and defends an original and paradigm-shifting conception of formal science, natural science, and the natural universe alike, that's fully pro-science, but at the same time neither theological or God-centered, nor solipsistic or self-centered, nor communitarian or social-institution-centered, nor scientistic or science-valorizing, nor materialist/physicalist or reductive, nor-above all-mechanistic.

This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories.

It is known that many control processes are characterized by both quantitative and qualitative complexity.

Computer users have a significant impact on the security of their computer and personal information as a result of the actions they perform (or do not perform).

The Shape of Space, Third Edition maintains the standard of excellence set by the previous editions.

This book introduces the theory of graded consequence (GCT) and its mathematical formulation.

Vast manpower and resources are needed to investigate cybercrimes.

Roy T Cook examines the Yablo paradox--a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others later than it in the sequence--with special attention paid to the idea that this paradox provides us with a semantic paradox that involves no circularity.

Fourteen papers presented at the 1987 European Summer Meeting of the Association for Symbolic Logic are collected in this volume.

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices.

This book not only discusses cellular automata (CA) as accouterment for simulation, but also the actual building of devices within cellular automata.

At the heart of modern cryptographic algorithms lies computational number theory.

Saunders Mac Lane was an extraordinary mathematician, a dedicated teacher, and a good citizen who cared deeply about the values of science and education.

This book is a study in the logic of questions (sometimes called erotetic logic).

Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory.

Computational complexity theory provides a framework for understanding the cost of solving computational problems, as measured by the requirement for resources such as time and space.

From the Preface: This book is addressed to all who are curious about the nature of mathematics and its role in society.

This book develops the theory of infinite-dimensional categories by studying the universe, or ∞-cosmos, in which they live.