Mathematical logic

This volume collects nine essays that investigate the work of Gottlob Frege.

Proof theory and category theory were first drawn together by Lambek some 30 years ago but, until now, the most fundamental notions of category theory (as opposed to their embodiments in logic) have not been explained systematically in terms of proof theory.

This volume explores the nature of mathematical proof in a range of historical settings, providing the first comprehensive history of proof.

This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind.

This book considers the important twentieth century Austrian philosopher, Ludwig Wittgenstein, and his conception of certainty.

Over the past two decades, the once small local Colorado Springs Mathematics Olympiad, founded by the author himself, has now become an annual state-wide competition, hosting over one-thousand high school contenders each year.

Winner of an Outstanding Academic Title Award from CHOICE MagazineMost available cryptology books primarily focus on either mathematics or history.

Cybersecurity Analytics is for the cybersecurity student and professional who wants to learn data science techniques critical for tackling cybersecurity challenges, and for the data science student and professional who wants to learn about cybersecurity adaptations.

This is a unique type of book; at least, I have never encountered a book of this kind.

Logic, Methodology and Philosophy of Science VII

This comprehensive two-volume work is devoted to the most general beginnings of mathematics.

This proceedings volume contains most of the invited talks presented at the colloquium.

Model theory is the meta-mathematical study of the concept of mathematical truth.

Guides Students in Understanding the Interactions between Computing/Networking Technologies and Security Issues Taking an interactive, "e;learn-by-doing"e; approach to teaching, Introduction to Computer and Network Security: Navigating Shades of Gray gives you a clear course to teach the technical issues related to security.

This book features more than 20 papers that celebrate the work of Hajnal Andreka and Istvan Nemeti.

From the Rosetta Stone to public-key cryptography, the art and science of cryptology has been used to unlock the vivid history of ancient cultures, to turn the tide of warfare, and to thwart potential hackers from attacking computer systems.

This is the first book on "e;phylogenetic supertrees"e;, a recent, but controversial development for inferring evolutionary trees.

by Ivor Grattan-Guinness One of the distortions in most kinds of history is an imbalance between the study devoted to major figures and to lesser ones, concerning both achievements and influence: the Great Ones may be studied to death while the others are overly ignored and thereby remain underrated.

This modem introduction to the foundations of logic, mathematics, and computer science answers frequent questions that mysteriously remain mostly unanswered in other texts: * Why is the truth table for the logical implication so unintuitive?

The field of "e;intelligent interfaces and systems"e; has seen a fast growth last decade.

This collection of prize-winning essays addresses the controversial question of how meaning and goals can emerge in a physical world governed by mathematical laws.

Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.

Intuitionistic type theory can be described, somewhat boldly, as a partial fulfillment of the dream of a universal language for science.

For a brief time in history, it was possible to imagine that a sufficiently advanced intellect could, given sufficient time and resources, in principle understand how to mathematically prove everything that was true.

There has been a common perception that computational complexity is a theory of "e;bad news"e; because its most typical results assert that various real-world and innocent-looking tasks are infeasible.

Completeness is one of the most important notions in logic and the foundations of mathematics.

This influential book discusses the nature of mathematical discovery, development, methodology and practice, forming Imre Lakatos''s theory of ''proofs and refutations''.

This handbook offers the first comprehensive reference guide to the interdisciplinary field of model-based reasoning.

This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic.

Practical Mathematical Cryptography provides a clear and accessible introduction to practical mathematical cryptography.

A good title should be informative enough to illuminate a potential reader on the content of a book.

This book presents an intuitive picture-oriented approach to the formative processes technique and to its applications.

This book is about Granular Computing (GC) - an emerging conceptual and of information processing.

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.

This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets.

This volume gathers selected papers presented at the Fourth Asian Workshop on Philosophical Logic, held in Beijing in October 2018.

Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s.

This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory.

This book constitutes the proceedings of the 25th International Symposium on Practical Aspects of Declarative Languages, PADL 2023, which was held in Boston, MA, USA, in January 2023.

This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world.

Except for this preface, this study is completely self-contained.

Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras.

This present volume is the Proceedings of the 14th International Conference on Near- rings and Nearfields held in Hamburg at the Universitiit der Bundeswehr Hamburg, from July 30 to August 06, 1995.