Mathematical logic Books
Springer Indirect Sampling Springer Series in Statistics
Book SynopsisOne of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible.Trade Review` ...impressive monograph...presents some of the newest trends in the mathematical theory of structures arising in quantum mechanics. The book is well written, with special attention paid to mathematical accuracy. The book will be useful for mathematicians, but also for physicists and logicians, as well as for the reader interested in fuzzy set theory and quantum computing. Throughout the text important facts and concepts are illustrated by exercises.' Mathematical Reviews, 2002Table of ContentsPreface. Introduction. 1. D-posets and Effect Algebras. 2. MV-algebras and QMV-algebras. 3. Quotients of Partial Abelian Monoids. 4. Tensor Product of D-Posets and Effect Algebras. 5. BCK-algebras. 6. BCK-algebras in Applications. 7. Loomis-Sikorski Theorems for MV-algebras and BCK-algebras. Bibliography. Index of Symbols. Index. List of Figures and Tables.
£999.99
Springer Papers in Honour of Bernhard Banaschewski Proceedings of the BB Fest 96 a Conference Held at the University of Cape Town 1520 July 1996 on Applications to Topology Order and Algebra
Book SynopsisProceedings of the BB Fest 96, a conference held at the University of Cape Town, 15-20 July 1996, on Category Theory and its Applications to Topology, Order and AlgebraTable of ContentsEditorial. Preface. Relatively Parametrizable Subalgebras; J. Isbell. An `Unsitely' Result on Atomic Morphisms; P. Johnstone. Quotient Maps of Locales; T. Plewe. Some Applications of the Ultrapower Theorem to the Theory of Compacta; P. Bankston. Nearness, Subfitness and Sequential Regularity; H. Herrlich, A. Pultr. The Structural Nature of the Nerve Functor for n-Groupoids; D. Bourn. Prime Ideal Theory for General Algebras; M. Erné. An Illustration of the Power of Structure Theory; K.H. Hofmann. Coreflectivity of E-Monads and Algebraic Hulls; G. Richter. Separation and Epimorphisms in Quasi-Uniform Spaces; D. Dikranjan, H.-P. Künzi. A Homotopy 2-Groupoid of a Hausdorff Space; K.A. Hardie, et al. A Complete Classification of the Simultaneously Bireflective and Bicoreflective Subconstructs of Approach Spaces; R. Lowen, P. Wuyts. Exponential Objects in Coreflective or Quotient Reflective Subconstructs: A Comparison; E. Lowen-Colebunders, C. Verbeeck. Completeness and Cocompleteness of RSmod1N; H. Röhrl. Cauchy Complete Nearness Spaces; S.S. Hong, Y.K. Kim. Categories of Relations and Functional Relations; R. Jayewardene, O. Wyler. Weak Equivalence of Internal Categories; R. Betti. Isolated Submodules and Skew Fields; T.H. Fay, S.V. Joubert. Clone Segments of the Tychonoff Modification of Space; A. Tozzi, V. Trnková. Representation of Relations by Partial Maps; X. Dong, W. Tholen. Structured Frames by Weil Entourages; J. Picado. Finite Intervals in the Lattice of Topologies; J. Reinhold. Local Connectedness Made Uniform; D. Baboolal. Frölicher versus Differential Spaces: A Prelude to Cosmology; P. Cherenack. Weakly Hereditary Initial Closure Operators;T.H. Fay. Strongly &ugr;-Continuous Functions and Topologies on Function Spaces. (Strongly) Zero-Dimensional Partially Ordered Spaces; K.R. Nailana. Structure Sheaves for Additive Categories; S.-H. Sun. Lindelöf Degree and Function Spaces; V. Valov, D. Vuma. Connectednesses and Disconnectednesses of Petri Nets; S. Veldsman.
£999.99
Springer Proof Theory History and Philosophical Significance 292 Synthese Library
Book Synopsis1. Review of Proof Theory.- Highlights in Proof Theory.- 2. The Background of Hilbert's Proof Theory.- The Empiricist Roots of Hilbert's Axiomatic Approach.- The Calm Before the Storm: Hilbert's Early Views on Foundations.- Toward Finitist Proof Theory.- 3. Brouwer and Weyl on Proof Theory and Philosophy of Mathematics.- The Development of Brouwer's Intuitionism.- Did Brouwer's Intuitionistic Analysis Satisfy its own Epistemological Standards?.- The Significance of Weyl's Das Kontinuum.- Herman Weyl on the Concept of Continuum.- 4. Modern Views and Results from Proof Theory.- Relationships between Constructive, Predicative and Classical Systems of Analysis.Table of ContentsPreface. Contributing Authors. Introduction. Part 1: Review of Proof Theory. Highlights in Proof Theory; S. Feferman. Part 2: The Background of Hilbert's Proof Theory. The Empiricist Roots of Hilbert's Axiomatic Approach; L. Corry. The Calm Before the Storm: Hilbert's Early Views on Foundations; D. Rowe. Toward Finitist Proof Theory; W. Sieg. Part 3: Brouwer and Weyl on Proof Theory and Philosophy of Mathematics. The Development of Brouwer's Intuitionism; D. van Dalen. Did Brouwer's Intuitionistic Analysis Satisfy its own Epistemological Standards? M. Epple. The Significance of Weyl's Das Kontinuum; S. Feferman. Herman Weyl on the Concept of Continuum; E. Scholz. Part 4: Modern Views and Results from Proof Theory. Relationships between Constructive, Predicative and Classical Systems of Analysis; S. Feferman. Index.
£999.99
Springer New Trends in Quantum Systems in Chemistry and Physics Volume 2 Advanced Problems and Complex Systems Paris France 1999 7 Progress in Theoretical Chemistry and Physics
Book SynopsisThese two volumes collect thirty-eight selected papers from the scientific contributions presented at the Fourth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-IV), held in Marly-le-Roi (France) in April 22-27, 1999.Table of ContentsPreface. Part VI: Response Theory: Properties and Spectra. On gauge invariance and molecular electrodynamics; R.G. Woolley. Quantum mechanics of electro-nuclear systems: towards a theory of chemical reactions; O. Tapia. Theoretical study of regularities in atomic and molecular spectral properties; I. Martin, et al. Excited states of hydrogen peroxide: an overview; P.K. Mukherjee, et al. On electron dynamics in violent cluster excitations; P.G. Reinhard, E. Suraud. Relativistic effects in non-linear atom-laser interactions at ultrahigh intensities; V. Véniard, et al. Part VII: Reactive Collisions and Chemical Reactions. Semiclassical close-coupling description of electron transfer in multi-charged ion-atom collisions; J. Caillat, et al. Single and double electron capture in boron collision systems; M.C. Bacchus-Montabonel, P. Honvault. Theoretical study of the interaction of carbon dioxide with Sc, Ti, Ni, and Cu atoms; F. Mele, et al. Part VIII: Condensed Matter. Recurrent variational approach applied to the electronic structure of conjugated polymers; S. Pleutin, et al. Effects of solvation for (R,R)-tartaric acid amides; M. Hoffmann, J. Rychlewski. Interpretation of vibrational spectra in electrochemical environments from first-principle calculations: computational strategies; M. García-Hernández, et al. Excited states in metal oxides by configuration interaction and multireference perturbation theory; C. Sousa, et al. Electrostatic effects in the heterolytic dissociation of hydrogen on magnesium oxide; C. Pisani, A.D'Ercole. A DFT study of CO adsorption on NiII ions 3-fold coordinated to silica; D. Costa, et al. A theoretical study of structure and reactivity of titanium chlorides; C. Martinsky, C. Minot. Phenomenological descriptionof D-wave condensates in high-Tc superconducting cuprates; E. Brändas, et al. Contents of Volume 1. Combined Index to Volumes 1 and 2.
£999.99
Springer Protoalgebraic Logics
Book Synopsis0. Basic definitions and facts.- I. Protoalgebraic Logics. The Leibniz Operator.- 1. Protoalgebraic logics.- 2. Protoalgebraicity and the Deduction Theorem.- 3. Equivalential logics.- II. Algebraizable Sentential Logics.- Q. Quasivarieties of algebras.- 4. Algebraizable logics.- 5. Regularly algebraizable logics.- 6. Fregean logics.- Symbol index.- Index of definitions.Trade Review`This book is an excellent and very readable introduction to the area of abstract algebraic logic. It includes recent technical results together with philosophical comments to provide a context. Many of the chapters contain exercises that give additional results and all of the chapters contain extensive end notes to guide the reader to the literature ' Mathematical Reviews, 2002f Table of ContentsIntroduction. On the book. Mathematical Prerequisites. Exercises. Notes for Mathematical Prerquisites. 0. Basic definitions and facts. Part I: Protoalgebraic Logics. The Leibniz Operator. 1. Protoalgebraic logics. 2. Protoalgebraicity and the Deduction Theorem. 3. Equivalential logics. Part II: Algebraizable Sentential Logics. Q. Quasivarieties of algebras. 4. Algebraizable logics. 5. Regularly algebraizable logics. 6. Fregean logics. Bibliography. Symbol Index. Index of definitions.
£999.99
Springer Domains and Processes Proceedings of the 1st International Symposium on Domain Theory Semantic Structures in Computation Proceedings of the 1st 1999 Semantics Structures in Computation
Book Synopsis1 Encounters Between Topology and Domain Theory.- 1 Introduction.- 2 Introductory Domain Theory.- 3 The Scott Topology.- 4 Locally Compact Spaces.- 5 Spectral Theory.- 6 Round Ideal Completions.- 7 Ordered Spaces.- 8 Compact Pospaces.- 9 Spaces of Maximal Points.- 10 The Domain of Closed Formal Balls.- 11 Fixed Point Theory.- 12 The Probabilistic Power Domain.- 13 Open Problems and Research Directions.- 14 Topological Appendix.- 2 The Lawson Topology on Quasicontinuous Domains.- 1 Introduction.- 2 Quasicontiuous domains.- 3 Strictly complete regularity of the Lawson topology.- 3 Uk-admitting dcpos need not be sober.- 1 Introduction.- 2 Uk-admitting for locally compact dcpo's.- 3 Uk-admitting does not always imply sober.- 4 The Largest Topologically Cartesian Closed Categories of Domains as Topological Spaces.- 1 Introduction and Preliminaries.- 2 Relations between tcc and ccc categories.- 3 FS is the largest tcc full subcategory of CONT1.- 4 F-FS is the largest tcc full subcategory ofTable of ContentsPreface. 1. Encounters Between Topology and Domain Theory; J.D. Lawson. 2. The Lawon Topology on Quasicontinuous Domains; X.-Q. Xu. 3. Uk-admitting dcpos need not be sober; H. Kou. 4. The Largest Topologically Cartesian Closed Categories of Domains as Topological Spaces; H. Kou, M. Luo. 5. On the Equivalence of Some Approaches to Computability on the Real Line; D. Spreen, H. Schulz. 6. The continuous functionals of finite types over the reals; D. Normann. 7. Compact Semantics on Bc-domains; T. Fan, G.-J. Wang. 8. Normal Subsets in Abstract Bases; L. Fan, C.-Y. Zheng. 9. Semantics of Logic Programs and Representation of Smyth Powerdomain; G.-Q. Zhang, W.C. Rounds. 10. Domains of view: a foundation for specification and analysis; M. Huth. 11. Semantic Theory and Proof System of Open Bisimulation for the pi-Calculus with Mismatching; Z. Li, H. Chen. 12. Axiomatization without Prefix Combinator; Y. Fu.
£999.99
Springer Serial Rings
Book SynopsisThe main theme in classical ring theory is the structure theory of rings of a particular kind. For example, no one text book in ring theory could miss the Wedderburn-Artin theorem, which says that a ring R is semisimple Artinian iffR is isomorphic to a finite direct sum of full matrix rings over skew fields.Table of ContentsIntroduction. 1. Basic Notions. 2. Finitely Presented Modules over Serial Rings. 3. Prime Ideals in Serial Rings. 4. Classical Localizations in Serial Rings. 5. Serial Rings with the A.C.C. on annihilators and Nonsingular Serial Rings. 6. Serial Prime Goldie Rings. 7. Noetherian Serial Rings. 8. Artinian Serial Rings. 9. Serial Rings with Krull Dimension. 10. Model Theory for Modules. 11. Indecomposable Pure Injective Modules over Serial Rings. 12. Super-Decomposable Pure Injective Modules over Commutative Valuation Rings. 13. Pure Injective Modules over Commutative Valuation Domains. 14. Pure Projective Modules over Nearly Simple Uniserial Domains. 15. Pure Projective Modules over Exceptional Uniserial Rings. 16. Sigma-Pure Injective Modules over Serial Rings. 17. Endomorphism Rings of Artinian Modules. Bibliography. Notations. Index.
£999.99
Springer Practical Applications of Computational Intelligence Techniques 16 International Series in Intelligent Technologies
Book SynopsisComputational intelligence paradigms have attracted the growing interest of researchers, scientists, engineers and application engineers in a number of everyday applications.Table of Contents1. An introduction to computational intelligence paradigms; A. Konar, L.C. Jain. 2. Networked virtual park; N. Magnenat-Thalmann, et al. 3. Commercial coin recognisers using neural and fuzzy techniques; J.M. Moreno, et al. 4. Fuzzy techniques in intelligent household appliances; M. Mraz, et al. 5. Neural prediction in industry: increasing reliability through use of confidence measures and model combination; P.J. Edwards, et al. 6. Handling the back calculation problem in aerial spray models using a genetic algorithm; W.D. Potter, et al. 7. Genetic algorithm optimization of a filament winding process modeled in WITNESS; E. Wilson, et al. 8. Genetic algorithm for optimizing the gust loads for predicting aircraft loads and dynamic response; R. Mehrotra, et al. 9. A stochastic dynamic programming technique for property market timing; T.C. Chin, G.T. Mills. 10. A hybrid approach to breast cancer diagnosis; M. Sordo, et al. 11. Artificial neural network as a computer aid for lung disease detection and classification in ventilation-perfusion lung scans; G.D. Tourassi, et al. 12. Neural network for classification of focal liver lesions in ultrasound images; H. Yoshida. Index.
£999.99
Springer Information Uncertainty and Fusion
Book SynopsisInformation.- Revision by Translation.- Ambiguous Implications in Knowledge-Based Systems Described by Entity-Characteristic Tables.- Functional Dependencies and the Design of Relational Databases Involving Imprecise Data.- A Query Construct for Paraconsistent Databases.- Fuzzy Classifactory Object Recognition for Crisis Detection.- An Approach to Using Degrees of Belief in BDI Agents.- Representation of Comonotonically Additive Functional by Choquet Integral.- On Lower and Upper Approximation of Fuzzy Measures by k-Order Additive Measures.- Generated Fuzzy Quantifiers and Their Orderings.- On Neurofuzzy and Fuzzy Decision Tree Approaches.- A Fuzzy Extension to a Temporal Parsimonious Covering Theory.- Uncertainty.- Probabilities of Future Decisions.- Representations Issues for Risk Scenarios.- Zero Probabilities in Stochastical Independence.- Computing the Probability of Formulas Representing Events in Product Spaces.- Uncertainty Handling for Distributed Database Integration and KnowTable of ContentsPreface. Information: Revision by Translation; D. Gabbay, O. Rodrigues, A. Russo. Ambiguous Implications in Knowledge-Based Systems Described by Entity-Characteristic Tables; S. Guiasu. Functional Dependencies and the Design of Relational Databases Involving Imprecise Data; P. Bosc, L. Liétard. A Query Construct for Paraconsistent Databases; R. Bagai. Fuzzy Classifactory Object Recognition for Crisis Detection; H. Larson, R.R. Yager. An Approach to Using Degrees of Belief in BDI Agents; S Parsons, P. Giorgini. Representation of Comonotonically Additive Functional by Choquet Integral; Y. Narukawa, T. Murofushi, M. Sugeno. On Lower and Upper Approximation of Fuzzy Measures by k-Order Additive Measures; M. Grabisch. Generated Fuzzy Quantifiers and Their Orderings; E.E. Kerre, M. Mares, R. Mesiar. On Neurofuzzy and Fuzzy Decision Tree Approaches; C. Olaru, L. Wehenkel. A Fuzzy Extension to a Temporal Parsimonious Covering Theory; S. Sandri, J. Wainer. Uncertainty: Probabilities of Future Decisions; D. Nilsson, F.V. Jensen. Representations Issues for Risk Scenarios; S. Langley. Zero Probabilities in Stochastical Independence; G. Coletti, R. Scozzafava. Computing the Probability of Formulas Representing Events in Product Spaces; P.A. Monney, B. Anrig. Uncertainty Handling for Distributed Database Integration and Knowledge Discovery; S,I. McClean, B.W. Scotney. A Rule-Based Language for Probabilistic Reasoning; S.K.M. Wong. Deriving Possibility Distributions from Data Sets Using Confidence Intervals of Probabilities; L.M. do Campos, J.F. Huete. Fuzzy Random Variables-Based Modeling with GA-P Algorithms; L. Sánchez, I. Couso. A Seasonal Streamflow Forecasting Model Using NeurofuzzyNetwork; R. Ballini, M. Figueiredo, S. Soares, M. Andrade, F. Gomide. Allowing Imprecision in Belief Representation Using Fuzzy-Valued Belief Structures; T. Denoeux. A Transformational Approach to Fuzzy Propositions; F. Ferández, J. Gutiérrez. Four-Valued Logics for Reasoning with Uncertainty in Prioritized Data; O. Arieli. Fusion: A Mathematical Model for Fuzzy Connectives and its Application to Operators Behavioural Study; E. Trillas, A. Pradera, S. Cubillo. Invariance Properties of OWA Operators; S. Ovchinnikov. Aggregation Operators as Similarity Relations; G. Beliakov. Semantic Meaning of Fuzzy Control Models and Heterogeneous Aggregation Operators; B. Shukhat. Maxative Fuzzy Preference Structures; B. De Baets, J. Fodor. Directed Possibilistic Graphs and Possibilistic Logic; S. Benferhat, D, Dubols, L. Garcia, H. Prade. A Logic of Supporters; C. Lafage, J. Lang, R. Sabbadin. Building Argumentation Systems on Set Constraint Logic; R. Haenni, N. Lehrnann. Genetic Fuzzy c-Means Algorithm for Automatic Generation of Fuzzy Partitions; S. López, L. Magdalena, S. Velasco. Fast Dempster-Shafer Clustering Using a Neural Network Structure; S. Schubert. Distribution of Contradictive Belief Masses in Combination of Belief Functions; M. Daniel. Relationships Among Ordinal Relations on a Finite Set of Events; A. Capotorti, B. Vantaggi. Index.
£999.99
Springer Hybrid Intelligent Systems
Book Synopsis1 Overview of Intelligent Systems.- 1.1 Expert Systems.- 1.2 Neural Networks.- 1.3 Fuzzy Systems.- 1.4 Genetic Algorithms.- 1.5 Case-Based Reasoning.- 1.6 Intelligent Information Systems.- 1.7 Summary.- 1.8 References for Further Reading.- 2 Research in Hybrid Intelligent Systems.- 2.1 Models for Integrating Intelligent Systems.- 2.2 Hybrid Reasoning Issues and Research Areas.- 2.3 Development Tools.- 2.4 Future of Research and Development.- 2.5 References for Further Reading.- 3 Expert Systems and Neural Networks.- 3.1 Expert System and Neural Network Technologies.- 3.2 Hybrid Neural Network and Expert Systems.- 3.3 Development Tools and Environments.- 3.4 Conclusions and Assessment of the Future.- 3.5 References for Further Reading.- 4 Industrial Experience: The Use of Hybrid Systems in the Power Industry.- 4.1 The Changing Face of the Power Industry in the United Kingdom.- 4.2 Artificial Intelligence in the Power Industry.- 4.3 Blyth Power Station.- 4.4 Condition Monitoring.- 4.5 TTrade Review` ... is very readable, with clear illustrations, and provides an insightful, informative, and up-to-date account of the basic ideas underlying hybrid intelligent systems. ... provides a good source for gaining a better understanding of hybrid systems.' Engineering Applications Artificial Intelligence, 10:1 (1996)Table of ContentsForeword; L.A. Zadeh. Preface. 1. Overview of Intelligent Systems. 2. Research in Hybrid Intelligent Systems. 3. Expert Systems and Neural Networks.4. Industrial Experience: The Use of Hybrid Systems in the Power Industry. 5. Expert Networks. 6. Fuzzy Logic and Expert Systems. 7. Fuzzy Systems and Neural Networks. 8. Genetic Algorithms and Neural Networks. 9. Applications Using Hybrid Neural Networks with Fuzzy Logic and Genetic Algorithms. 10. Genetic Algorithms and Fuzzy Systems. 11. Adaptive Control of an Exothermic Chemical Reaction System Using Fuzzy Logic and Genetic Algorithms. 12. Genetic Algorithms and Expert Systems. 13. Hybrid Systems with Case-Based Reasoning. 14. Summary and the Future of Hybrid Intelligent Systems. References. Index.
£999.99
Springer Fuzzy Set Theoryand Its Applications
Book Synopsis1 Introduction to Fuzzy Sets.- 2 Fuzzy SetsBasic Definitions.- 3 Extensions.- 4 Fuzzy Measures and Measures of Fuzziness.- 5 The Extension Principle and Applications.- 6 Fuzzy Relations and Fuzzy Graphs.- 7 Fuzzy Analysis.- 8 Possibility Theory, Probability Theory, and Fuzzy Set Theory.- 9 Fuzzy Logic and Approximate Reasoning.- 10 Fuzzy Sets and Expert Systems.- 11 Fuzzy Control.- 12 Fuzzy Data Analysis.- 13 Decision Making in Fuzzy Environments.- 14 Fuzzy Set Models in Operations Research.- 15 Empirical Research in Fuzzy Set Theory.- 16 Future Perspectives.- Abbreviations of Frequently Cited Journals.Trade ReviewPraise for the Second Edition: `[This book] can be quite useful for anyone interested in fuzzy set theory .... Those teaching courses in fuzzy set theory, especially in a more practical rather than abstract context, would do well to consider this textbook. Zimmerman has compiled a collection of information that is useful, clearly presented, and with the latest revision, reflects much current research.' International Journal of General Systems, 21 (1992) `I highly recommend this text for students, both novice and advanced in theory and applications, academics and industrial researchers. Of course, this book is a must for all academic libraries. Indeed, Professor Zimmermann, who as a researcher, author, editor and organizer of international meetings has contributed so much for the cause of the fuzzy sets and systems and the fuzzy community, deserves our compliments.' Madan M. Gupta, University of Saskatchewan in OPSearch `The up-to-date content as well as the author's style and method of presentation make the book to be one of the best presentations of the whole field of fuzziness and will maintain its role as one of the preferred introductions into that topic.' European Journal of Operations Research Table of ContentsList of figures. List of tables. Foreword. Preface. Preface to the Third Edition. 1. Introduction to fuzzy sets. Part One: Fuzzy mathematics. 2. Fuzzy sets - basic definitions. 3. Extensions. 4. Fuzzy measures and measures of fuzziness. 5. The extension principle and applications. 6. Fuzzy relations and fuzzy graphs. 7. Fuzzy analysis. 8. Possibility theory, probability theory, and fuzzy set theory. Part Two: Applications of fuzzy set theory. 9. Fuzzy logic and approximate reasoning. 10. Fuzzy sets and expert systems. 11. Fuzzy control. 12. Fuzzy data analysis. 13. Decision making in fuzzy environments. 14. Fuzzy set models in operations research. 15. Empirical research in fuzzy set theory. 16. Future perspectives. Bibliography. Index.
£999.99
Taylor & Francis Nondeductive Inference 2 Routledge Library
Book SynopsisOriginally published in 1966. An introduction to current studies of kinds of inference in which validity cannot be determined by ordinary deductive models. In particular, inductive inference, predictive inference, statistical inference, and decision making are examined in some detail. The last chapter discusses the relationship of these forms of inference to philosophical notions of rationality. Special features of the monograph include a discussion of the legitimacy of various criteria for successful predictive inference, the development of an intuitive model which exhibits the difficulties of choosing probability measures over infinite sets, and a comparison of rival views on the foundations of probability in terms of the amount of information which the members of these schools believe suitable for fruitful formalization. The bibliographies include articles by statisticians accessible to students of symbolic logic. Table of Contents1. Inductive and Predictive Inference 2. Hypothesis and Predictive Inference 3. Probability and Predictive Inference 4. Statistical Inference 5. Bayesian Statistical Inference 6. Statistical Decision and Utility 7. Theories and Rationality 8. Bibliography
£87.39
CRC Press Multilevel Modeling of Secure Systems in QoPML
Book SynopsisIn order to perform effective analysis of todayâs information security systems, numerous components must be taken into consideration. This book presents a well-organized, consistent solution created by the author, which allows for precise multilevel analysis of information security systems and accounts for all of the significant details. Enabling the multilevel modeling of secure systems, the quality of protection modeling language (QoP-ML) approach provides for the abstraction of security systems while maintaining an emphasis on quality protection. This book introduces the basis of the QoP modeling language along with all the advanced analysis modules, syntax, and semantics. It delineates the steps used in cryptographic protocols and introduces a multilevel protocol analysis that expands current understanding. Introduces quality of protection evaluation of IT Systems Covers the financial, economic, and CO2 emission analysis phase Table of Contents Introduction to Multilevel Modeling of Secure Systems. Basis of QoP-ML. Quality of Protection Evaluation of Security Mechanisms. Advanced Communication and Energy Efficiency Modeling. Environmental Impact and Financial Costs Analysis. Reputation Analysis in QoP-ML. Security Metrics – Methodology. Tool Support. Functionality and Usability of QoP-ML. Appendix.
£80.74
Imperial College Press Quantum Cellular Automata: Theory,
Book SynopsisThe Quantum Cellular Automaton (QCA) concept represents an attempt to break away from the traditional three-terminal device paradigm that has dominated digital computation. Since its early formulation in 1993 at Notre Dame University, the QCA idea has received significant attention and several physical implementations have been proposed.This book provides a comprehensive discussion of the simulation approaches and the experimental work that have been undertaken on the fabrication of devices capable of demonstrating the fundamentals of QCA action. Complementary views of future perspectives for QCA technology are presented, highlighting a process of realistic simulation and of targeted experiments that can be assumed as a model for the evaluation of future device proposals.
£90.25
Springer International Publishing AG Writing Proofs in Analysis
Book SynopsisThis 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. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills.This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. To this end, all proofs presented in this text are preceded by detailed explanations describing the thought process one goes through when constructing the proof. Over 150 example proofs, templates, and axioms are presented alongside full-color diagrams to elucidate the topics at hand.Trade Review“This book is well written and so it is also very convenient as a textbook for a standard one-semester course in real analysis.” (Petr Gurka, zbMATH 1454.26001, 2021)“This is a well-written book with definitions embedded in the text—these are easily identified by bold type throughout the work. The theorems and proofs are set apart from the text and appear in boxes that follow discussions that motivate them. … Summing Up: Recommended. Lower- and upper-division undergraduates; researchers and faculty.” (J. R. Burke, Choice, Vol. 54 (7), March, 2017)“Its objective is to make the reader understand the thought processes behind the proofs. In this it succeeds admirable, and then book should be in every mathematical library, public and private. … The book is excellently produced with many coloured diagrams.” (P. S. Bullen, Mathematical Reviews, January, 2017)“I think this is indeed a fabulous book for the kind of course I just suggested. I think that it will indeed serve as Kane projects it should, and the surviving student will truly know a good deal about writing a mathematical proof, in fact, about thinking about the problems and assertions beforehand and then going about the task of constructing the proof.” (Michael Berg, MAA Reviews, August, 2016)Table of ContentsWhat Are Proofs, And Why Do We Write Them?.- The Basics of Proofs.- Limits.- Continuity.- Derivatives.- Riemann Integrals.- Infinite Series.- Sequences of Functions.- Topology of the Real Line.- Metric Spaces.
£62.99
Taylor & Francis Ltd The Equation of Knowledge
Book SynopsisThe Equation of Knowledge: From Bayes'' Rule to a Unified Philosophy of Science introduces readers to the Bayesian approach to science: teasing out the link between probability and knowledge. The author strives to make this book accessible to a very broad audience, suitable for professionals, students, and academics, as well as the enthusiastic amateur scientist/mathematician. This book also shows how Bayesianism sheds new light on nearly all areas of knowledge, from philosophy to mathematics, science and engineering, but also law, politics and everyday decision-making.Bayesian thinking is an important topic for research, which has seen dramatic progress in the recent years, and has a significant role to play in the understanding and development of AI and Machine Learning, among many other things. This book seeks to act as a tool for proselytising the benefits and limits of Bayesianism to a wider public. Features Trade ReviewLê Nguyên Hoang takes us on a fascinating intellectual journey into Bayesianism, cutting across many social and natural sciences. The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science is a real page turner.—George Zaccour, HEC Montréal and co-author of Handbook of Dynamic Game Theory"Each chapter is opened with a fascinating epigraph quoting famous persons, and is completed by the most recent references. There are multiple illustrations, and the Bayes’ formulae are many times presented via various funny symbols of emoji kind. The book is addressed to a wide audience of students, professionals, and actually any reader interested to be better acquainted with modern ideas in various sciences and philosophy of science, and their Bayesian statistical description and interpretation."— Stan Lipovetsky, Technometrics (Volume 63, 2021 - Issue 1)"[. . . ] Trained in the hard school of online videos, Le Nguyen Hoang has found a new tone to talk about science, a tone that is both rigorous and narrative, where examples illuminate the most abstract questions."— From the Foreword by Gilles Dowek, Professor at École Polytechnique and researcher at the Laboratoire d'Informatique de l'École Polytechnique and the Institut National de Recherche en Informatique et en Automatique (INRIA).Lê Nguyên Hoang takes us on a fascinating intellectual journey into Bayesianism, cutting across many social and natural sciences. The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science is a real page turner.— George Zaccour, HEC Montréal and co-author of Handbook of Dynamic Game Theory"Making math accessible to everyone, showing its connections with dozens of different domains, narrating scientific discovery as a personal human adventure, and sharing impressive enthusiasm: there is definitely something of Greg Chaitin's Meta Math! in Lê Nguyên Hoang's book!" — Rémi Peyre, École des Mines de Nancy"A remarkable piece of work, broad and insightful at the same time. This book is unique in that it gives an accessible journey from subtle probabilistic puzzles to the most advanced concepts at the heart of the machine learning revolution; with unrivalled clarity, it exposes deep ideas that have remained very confidential outside of specialized circles, and that yet are becoming fundamental in the way we understand our world."— Clément Hongler, Associate Professor and Chair of Statistical Field Theory, EPFL "As someone who practices research and publishes academic papers, it is frustrating to note how little we, scientists, are trained in epistemology. ‘How do we know that we know?’ This question is often neglected or taken for granted. The recent controversies about reproducibility of scientific publishing might be one of the tips of a larger iceberg. This book will, in my opinion, be remembered as one of those that helped melt the iceberg." — El Mahdi El Mhamdi, École Polytechnique Fédérale de Lausanne."The book has a lively writing style, rather like you are listening to an inspiring lecturer. Indeed the author has a French YouTube channel and is clearly enthusiastic about exposition. It is overtly an account of what the author personally finds interesting. [. . .] In teaching a basic college course, focused on the mathematical setup and on the analysis of data, I often find there is one student who comes to office hours and is interested in seeing connections with broad scientific fields, or in conceptual issues of the philosophy of science. I could certainly recommend this book to such a student. Similarly, for the MAA community it could be an innovative basis for an undergraduate seminar course, in which students would choose a topic from the book and delve deeper into it."— David Aldous, Mathematical Association of AmericaTable of ContentsSction I. Pure Bayesianism. 1. On A Transformative Journey. 2. Bayes Theorem. 3. Logically Speaking... 4. Let’s Generalize! 5. All Hail Prejudices. 6. The Bayesian Prophets. 7. Solomonoff’s Demon. Section II. Applied Bayesianism. 8. Can You Keep A Secret? 9. Game, Set and Math. 10. Will Darwin Select Bayes? 11. Exponentially Counter-Intuitive. 12. Ockham Cuts to the Chase. 13. Facts Are Misleading. Section III. Pragmatic Bayesianism. 14. Quick And Not Too Dirty. 15. Wish Me Luck. 16. Down Memory Lane. 17. Let’s Sleep On It. 18. The Unreasonable Effectiveness of Abstraction. 19. The Bayesian Brain. Section IV. Beyond Bayesianism. 20. It’s All Fiction. 21. Exploring The Origins Of Beliefs. 22. Beyond Bayesianism.
£33.99
Springer Mathematical Logic
Book SynopsisA.- I Introduction.- II Syntax of First-Order Languages.- III Semantics of First-Order Languages.- IV A Sequent Calculus.- V The Completeness Theorem.- VI The Löwenheim-Skolem and the Compactness Theorem.- VII The Scope of First-Order Logic.- VIII Syntactic Interpretations and Normal Forms.- B.- IX Extensions of First-Order Logic.- X Limitations of the Formal Method.- XI Free Models and Logic Programming.- XII An Algebraic Characterization of Elementary Equivalence.- XIII Lindström's Theorems.- References.- Symbol Index.Trade Review“…the book remains my text of choice for this type of material, and I highly recommend it to anyone teaching a first logic course at this level.” – Journal of Symbolic LogicTable of ContentsPreface; Part A: 1. Introduction; 2. Syntax of First-Order Languages; 3. Semantics of first-Order Languages; 4. A Sequent Calculus; 5. The Completeness Theorem; 6. The Lowenheim-Skolem and the Compactness Theorem; 7. The Scope of First-Order Logic; 8. Syntactic Interpretations and Normal Forms; Part B: 9. Extensions of First-Order Logic; 10. Limitations of the Formal Method; 11. Free Models and Logic Programming; 12. An Algebraic Characterization of Elementary Equivalence; 13. Lindstroem's Theorems; References; Symbol Index; Subject Index
£999.99
Cambridge University Press Introducing String Diagrams
Book SynopsisThis is the first self-contained introduction to the use of string diagrams to reason in elementary category theory. Written in an informal expository style, it features hundreds of carefully chosen diagrams to aid understanding. With numerous worked examples and exercises, the text is ideal for graduate students and advanced undergraduates.Trade Review'String diagrams have proven an indispensable tool in modern category theory, enabling intuitive graphical reasoning while doing away with much of the bookkeeping that tends to bog down equational arguments. This textbook introduces category theory by way of string diagrams, making it an excellent choice both for beginners in category theory, as well as for more experienced category theorists seeking to add string diagrammatic reasoning to their repertoire.' Robin Kaarsgaard, University of Edinburgh'Well-chosen notation plays a vital role in constructive calculation because it facilitates the exploitation of algebraic properties. This book's exemplary use of string diagrams in category theory will inspire and invigorate the calculational method. Peruse and ponder its colourful beauty.' Roland Backhouse, University of NottinghamTable of ContentsPrologue; 1. Category theory; 2. String diagrams; 3. Monads; 4. Adjunctions; 5. Putting it all together; Epilogue; Appendix. Notation; References; Index.
£999.99
Cambridge University Press Philosophical Uses of Categoricity Arguments
Book SynopsisThis Element addresses the categoricity arguments that have been more effective in historical cases that reflect philosophically on internal mathematical matters than in recent questions of pre-theoretic metaphysics.Table of Contents1. Introduction; 2. Dedekind in 'Was sind und was sollen die Zahlen?' (1888); 3. Dedekind in 'Was sind und was sollen die Zahlen?' (1888); 4. Kreisel in 'Informal rigor and incompleteness proofs' (1967) and 'Two notes on the foundations of set theory'(1969); 5. Parsons in 'The uniqueness of the natural numbers' (1990) and 'Mathematical induction' (2008); 6. Parsons in 'The uniqueness of the natural numbers' (1990) and 'Mathematical induction' (2008); 7. Conclusion; References.
£21.54
Cambridge University Press Proof Complexity Generators
Book Synopsis
£42.75
LEGARE STREET PR The Cloud of Unknowing
Book Synopsis
£23.70
Taylor & Francis Ltd The Elements of Advanced Mathematics
Book SynopsisThis book has enjoyed considerable use and appreciation during its first four editions. With hundreds of students having learned out of early editions, the author continues to find ways to modernize and maintain a unique presentation.What sets the book apart is the excellent writing style, exposition, and unique and thorough sets of exercises. This edition offers a more instructive preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi are included.As would be expected in a fifth edition, the overall content and structure of the book are sound.This new edition offers a more organized treatment of axiomatics. Throughout the book, there is a more careful and detailed treatment of the axioms of set theory. The rules of inference are more carefully elucidated.Additional new features include: An emphasis on the artTrade ReviewThe great strength of the book overall and of the chapters I read is a very accessible writing style, and extremely good exercises. The mix of discussion of advanced topics alongside the presentation of more elementary material is excellent. This is a product of having a highly accomplished and knowledgeable mathematician writing a textbook intended for not-so-advanced students.--David Walnut, George Washington UniversityTable of Contents 1. Basic Logic 2. Methods of Proof 3. Set Theory 4. Relations and Functions 5. Group Theory 6. Number Systems 7. More on the Real Number System 8. A Glimpse of Topology 9. Elementary Number Theory 10. Zero-Knowledge Proofs and Cryptography 11. An Example of an Axiomatic Theory
£84.99
Taylor & Francis Ltd The Baseball Mysteries
Book SynopsisThe Baseball Mysteries: Challenging Puzzles for Logical Detectives is a book of baseball puzzles, logical baseball puzzles. To jump in, all you need is logic and a casual fan's knowledge of the game. The puzzles are solved by reasoning from the rules of the game and a few facts.The logic in the puzzles is like legal reasoning. A solution must argue from evidence (the facts) and law (the rules). Unlike legal arguments, however, a solution must reach an unassailable conclusion.There are many puzzle books. But there's nothing remotely like this book. The puzzles here, while rigorously deductive, are firmly attached to actual events, to struggles that are reported in the papers every day.The puzzles offer a unique and scintillating connection between abstract logic and gritty reality.Actually, this book offers the reader an unlimited number of puzzles. Once you've solved a few of the challenges here, every boxscore you see in the papTable of Contents1. The Game Begins. 1.1. In Plain Sight. 1.2. Working Backwards. 1.3. A Walk-Off. 1.4. An Imperfect Game. 1.5. The Five-Run Inning. 1.6. Casey At the Bat. 2. Historical Mysteries. 2.1. Substitutions. 2.2. Crazy Things Happen. 2.3. The Game-Winning RBI. 2.4 Number 299. 2.5. Number 400. 2.6. Who Scored When. 2.7. Earning and Unearning. 3. Steady Games. 3.1. A Steady Game. 3.2. Another Steady Game. 3.3. A Steady Double. 3.4. Cicioneddos. 3.5. Maltagliatti. 3.6. Lucca. 4. Secrets of the Past. 4.1. Ancient Rivalry. 4.2. Double Switches. 4.3. Switch Central. 4.4. A World Series Game. 4.5. The Other Side of The World. 4.6. Leary’s Bad Day. 5. Puzzles as Art. 5.1. Never Out, Never In. 5.2. Double Plays. 5.3. Mistakes Were Made. 5.4. The Two Rods. 5.5. The Guy Who Did It All. 5.6. Scraps. 6. Baseball Archaelogy. 6.1. At the Dawn of Time. 6.2. Later that Day. 6.3. Ancient History. 6.4. Baseball at War. 6.5. Twins Fall Short in Slugfest. 6.6. In Scoring Position. 7. More Puzzling Art. 7.1. Just Totals. 7.2 Two Guys. 7.3. Smedley. 7.4. Everybody Scores a Run. 7.5. Castro Homers in the First. 7.6. Brown Homers in the First. 7.7. Leftovers. 8. Missing Information. 8.1. Four Players Missing. 8.2. Four Missing, Again. 8.3. Six Missing. 8.4. Five Missing. 8.5. Who Won? 8.6. Sad Story. 9. Little League Games. 9.1. Kids’ Stuff. 9.2. Kids will be Kids. 9.3. Macy at the Bat. 9.4. It’s an ERG. 9.5. Zhang and Li. 9.6. Li and Zhang. 9.7. Extreme ERGs. 9.8. Advanced Ergonomics. 10. The Final Problem. 10.1. Child’s Play. 10.2. Pitching In. 10.3. Team Spirit. 10.4. Three Odd Men. 10.5. The Muskrats’ Pitching. 10.6. The Hornet’s Batting. 10.7. The Muskrats’ Batting. Hints. Solutions. Crazy Things that don’t happen in this Book.
£28.83
CRC Press Cryptography
Book SynopsisThrough three editions, Cryptography: Theory and Practice, has been embraced by instructors and students alike. It offers a comprehensive primer for the subjectâs fundamentals while presenting the most current advances in cryptography.The authors offer comprehensive, in-depth treatment of the methods and protocols that are vital to safeguarding the seemingly infinite and increasing amount of information circulating around the world.Key Features of the Fourth Edition: New chapter on the exciting, emerging new area of post-quantum cryptography (Chapter 9). New high-level, nontechnical overview of the goals and tools of cryptography (Chapter 1). New mathematical appendix that summarizes definitions and main results on number theory and algebra (Appendix A). An expanded treatment of stream ciphers, incluTable of Contents Introduction to Cryptography. Classical Cryptography. Shannon's Theory, Perfect Secrecy and the One-Time Pad. Block Ciphers and Stream Ciphers. Hash Functions and Message Authentication. The RSA Cryptosystem and Factoring Integers. Public-Key Cryptography and Discrete Logarithms. Post-quantum Cryptography. Identification Schemes and Entity Authentication. Key Distribution. Key Agreement Schemes. Miscellaneous Topics. Appendix A: Number Theory and Algebraic Concepts for Cryptography, Appendix B: Pseudorandom Bit Generation for Cryptography.
£43.99
Taylor & Francis Ltd An Introduction to Number Theory with
Book SynopsisBuilding 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. The authors have written the text in an engaging style to reflect number theory''s increasing popularity. The book is designed to be used by sophomore, junior, and senior undergraduates, but it is also accessible to advanced high school students and is appropriate for independent study. It includes a few more advanced topics for students who wish to explore beyond the traditional curriculum.Features of the second edition include Over 800 exercises, projects, and computer explorations Increased coverage of cryptography, including Vigenere, Stream, Transposition,and BlockTrade Review "… provides a fine history of number theory and surveys its applications. College-level undergrads will appreciate the number theory topics, arranged in a format suitable for any standard course in the topic, and will also appreciate the inclusion of many exercises and projects to support all the theory provided. In providing a foundation text with step-by-step analysis, examples, and exercises, this is a top teaching tool recommended for any cryptography student or instructor."—California Bookwatch Table of Contents 20 1. Introduction; 2 Divisibility; 3. Linear Diophantine Equations; 4. Unique Factorization; 5. Applications of Unique Factorization; 6. Conguences; 7. Classsical Cryposystems; 8. Fermat, Euler, Wilson; 9. RSA; 10. Polynomial Congruences; 11. Order and Primitive Roots; 12. More Cryptographic Applications; 13. Quadratic Reciprocity; 14. Primality and Factorization; 15. Geometry of Numbers; 16. Arithmetic Functions; 17. Continued Fractions; 18. Gaussian Integers; 19. Algebraic Integers; 20. Analytic Methods, 21. Epilogue: Fermat's Last Theorem; Appendices; Answers and Hints for Odd-Numbered Exercises; Index
£43.99
CRC Press Quantum Technology Applications Impact and Future
Book SynopsisThis book presents a comprehensive exploration of quantum computing, exploring its wide-ranging applications across industries, elucidating its transformative impact on diverse sectors, and addressing the forthcoming challenges and future directions within this rapidly evolving field.Quantum Technology Applications, Impact, and Future Challenges explores the current state of quantum hardware and software, providing readers with a clear understanding of the challenges and opportunities posed by this technology. It also examines how quantum computing is being used today in industries such as energy, finance, healthcare, and logistics, offering real-world examples of the potential impact of this technology. Readers will gain an understanding of quantum computingâs potential applications and its profound implications for businesses, individuals, and society at large. Through a blend of theoretical insights, practical examples, and thought-provoking discussions, this book
£71.24
Cambridge University Press Proofs and Refutations The Logic of Mathematical
Book SynopsisImre Lakatos's influential and enduring work on the nature of mathematic discovery and development continues to be relevant to philosophers of mathematics. Including a specially commissioned preface written by Paolo Mancosu, and presented in a fresh twenty-first-century series livery, it is now available for a new generation of readers.Trade Review'For anyone interested in mathematics who has not encountered the work of the late Imre Lakatos before, this book is a treasure; and those who know well the famous dialogue, first published in 1963–4 in the British Journal for the Philosophy of Science, that forms the greater part of this book, will be eager to read the supplementary material … the book, as it stands, is rich and stimulating, and, unlike most writings on the philosophy of mathematics, succeeds in making excellent use of detailed observations about mathematics as it is actually practised.' Michael Dummett, Nature'The whole book, as well as being a delightful read, is of immense value to anyone concerned with mathematical education at any level.' C. W. Kilmister, The Times Higher Education Supplement'In this book the late Imre Lakatos explores 'the logic of discovery' and 'the logic of justification' as applied to mathematics … The arguments presented are deep … but the author's lucid literary style greatly facilitates their comprehension … The book is destined to become a classic. It should be read by all those who would understand more about the nature of mathematics, of how it is created and how it might best be taught.' Education'How is mathematics really done, and - once done - how should it be presented? Imre Lakatos had some very strong opinions about this. The current book, based on his PhD work under George Polya, is a classic book on the subject. It is often characterized as a work in the philosophy of mathematics, and it is that - and more. The argument, presented in several forms, is that mathematical philosophy should address the way that mathematics is done, not just the way it is often packaged for delivery.' William J. Satzer, MAA ReviewsTable of ContentsPreface to this edition Paolo Mancosu; Editors' preface; Acknowledgments; Author's introduction; Part I: 1. A problem and a conjecture; 2. A proof; 3. Criticism of the proof by counterexamples which are local but not global; 4. Criticism of the conjecture by global counterexamples; 5. Criticism of the proof-analysis by counterexamples which are global but not local. The problem of rigour; 6. Return to criticism of the proof by counterexamples which are local but not global. The problem of content; 7. The problem of content revisited; 8. Concept-formation; 9. How criticism may turn mathematical truth into logical truth; Part II: Editors' introduction; Appendix 1. Another case-study in the method of proofs and refutations; Appendix 2. The deductivist versus the heuristic approach; Bibliography; Index of names; Index of subjects.
£18.99
Cambridge University Press Mathematical Logic and Computation
Book SynopsisThis book presents mathematical logic from the syntactic point of view, with an emphasis on aspects that are fundamental to computer science. It is an excellent introduction for graduate students and advanced undergraduates interested in logic in mathematics, computer science, and philosophy, and an invaluable reference for professional logicians.Trade Review'Avigad provides a much needed introduction to mathematical logic that foregrounds the role of syntax and computability in our understanding of consistency and inconsistency. The result provides a jumping off point to any of the fields of modern logic, not only teaching the technical groundwork, but also providing a window into how to think like a logician.' Henry Towsner, University of Pennsylvania'This book by one of the most knowledgeable researchers in the field covers a remarkably broad selection of material without sacrificing depth. Its clear organization and unified approach - focused on a syntactic approach and on the role of computation - make it suitable for a wide range of introductory logic sequences at the upper-level undergraduate and graduate level, as well as a valuable resource for background material in more advanced logic courses.' Denis Hirschfeldt, University of Chicago'… an excellent addition to the literature, with plenty more than enough divergences and side-steps from the more well-trodden paths through the material to be consistently interesting … this is most certainly a book to make sure your library gets.' Peter Smith, Logic MattersTable of ContentsPreface; 1. Fundamentals; 2. Propositional Logic; 3. Semantics of Propositional Logic; 4. First-Order Logic; 5. Semantics of First-Order Logic; 6. Cut Elimination; 7. Properties of First-Order Logic; 8. Primitive Recursion; 9. Primitive Recursive Arithmetic; 10. First-Order Arithmetic; 11. Computability 12. Undecidability and Incompleteness; 13. Finite Types; 14. Arithmetic and Computation; 15. Second-Order Logic and Arithmetic; 16. Subsystems of Second-Order Arithmetic; 17. Foundations; Appendix; References; Notation; Index.
£59.99
Cambridge University Press Mathematics and Its Logics
Book SynopsisIn these essays Geoffrey Hellman presents a strong case for a healthy pluralism in mathematics and its logics, supporting peaceful coexistence despite what appear to be contradictions between different systems, and positing different frameworks serving different legitimate purposes. The essays refine and extend Hellman''s modal-structuralist account of mathematics, developing a height-potentialist view of higher set theory which recognizes indefinite extendability of models and stages at which sets occur. In the first of three new essays written for this volume, Hellman shows how extendability can be deployed to derive the axiom of Infinity and that of Replacement, improving on earlier accounts; he also shows how extendability leads to attractive, novel resolutions of the set-theoretic paradoxes. Other essays explore advantages and limitations of restrictive systems - nominalist, predicativist, and constructivist. Also included are two essays, with Solomon Feferman, on predicative foundations of arithmetic.Table of ContentsIntroduction; Part I. Structuralism, Extendability, and Nominalism: 1. Structuralism without Structures?; 2. What Is Categorical Structuralism?; 3. On the Significance of the Burali-Forti Paradox; 4. Extending the Iterative Conception of Set: A Height-Potentialist Perspective; 5. On Nominalism; 6. Maoist Mathematics? Critical Study of John Burgess and Gideon Rosen, A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics (Oxford, 1997); Part II. Predicative Mathematics and Beyond: 7. Predicative Foundations of Arithmetic (with Solomon Feferman); 8. Challenges to Predicative Foundations of Arithmetic (with Solomon Feferman); 9. Predicativism as a Philosophical Position; 10. On the Gödel-Friedman Program; Part III. Logics of Mathematics: 11. Logical Truth by Linguistic Convention; 12. Never Say 'Never'! On the Communication Problem between Intuitionism and Classicism; 13. Constructive Mathematics and Quantum Mechanics: Unbounded Operators and the Spectral Theorem; 14. If 'If-Then' Then What?; 15. Mathematical Pluralism: The Case of Smooth Infinitesimal Analysis.
£79.99
Cambridge University Press Coend Calculus
Book SynopsisThe language of ends and (co)ends provides a natural and general way of expressing many phenomena in category theory, in the abstract and in applications. Yet although category-theoretic methods are now widely used by mathematicians, since (co)ends lie just beyond a first course in category theory, they are typically only used by category theorists, for whom they are something of a secret weapon. This book is the first systematic treatment of the theory of (co)ends. Aimed at a wide audience, it presents the (co)end calculus as a powerful tool to clarify and simplify definitions and results in category theory and export them for use in diverse areas of mathematics and computer science. It is organised as an easy-to-cite reference manual, and will be of interest to category theorists and users of category theory alike.Table of ContentsPreface; 1. Dinaturality and (co)ends; 2. Yoneda and Kan; 3. Nerves and realisations; 4. Weighted (co)limits; 5. Profunctors; 6. Operads; 7. Higher dimensional (co)ends; Appendix A. Review of category theory; Appendix B; References; Index.
£57.99
Cambridge University Press Paradoxes and Inconsistent Mathematics
Book SynopsisContradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses 'dialetheic paraconsistency' a formal framework where some contradictions can be true without absurdity as the basis for developing this idea rigorously, from mathematical foundations up.
£31.43
CRC Press The Beauty of Mathematics in Computer Science
Book SynopsisA series of essays introducing the applications of machine learning and statistics in natural language processing, speech recognition and web search for non-technical readersTrade Review"This volume originates from a series of blog articles by the author, who works as senior staff research scientist for Google China. The blog articles have been rewritten to make them more accessible to uninitiated readers. As a result, the book contains 29 chapters which may be read independently. The aim is to provide evidence for the beauty of mathematics and the wealth of its applications to the layman . . . The volume may be quite valuable for readers who want to get some insight into how enterprises like Google achieve their performance, and how much mathematics is at work in the background of many commonplace services . . . "~Dieter Riebesehl (Lüneburg), zbMathTable of ContentsWords, languages vs. numbers, information. Natural language processing: from rules to statistics. Statistical language models. Chinese, Japanese, and Korean Word segmentation. Hidden Markov models. Measurement and usage of information. Fred Jelinek and modern natural language processing. Beauty of simplicity: Boolean algebra and search engines. Graph theory and web crawlers. PageRank–Google’s democratic ranking algorithm. Determing the relevance of webpages and queries. Finite state machines and dynamic programming: Core technologies of Google local search. Cosine similarity and news classification. Matrix calculation and clustering of text documents. Information fingerprints and their applications. Mathematical principles of cryptography. All that is gold does not glitter: search engine anti-SPAM. The importance of mathematical models. Don’t put all your eggs in one basket: maximum entropy modeling. The principle of (Chinese pinyin) input method editor. Bloom filter. Bayesian networks: Extensions of hidden Markov models. Conditional random field, syntactic parsing, and other applications. Viterbi and his algorithm. God algorithm: Expectation-maximization algorithms. Logistic regression and web search advertisement. Divide and conquer and Google cloud computing fundamentals. Google Brain and neural networks. The power of big data.
£35.99
College Publications Introducao Ao Calculo Lambda
Book Synopsis
£14.00
College Publications Ifcolog Journal of Logics and their Applications.
Book Synopsis
£999.99
College Publications Croyances et significations: Jeux de questions et
Book Synopsis
£14.25
College Publications Logica e Estrutura
Book SynopsisO livro-texto popular de Dirk van Dalen, Lógica e Estrutura, agora em sua quinta edição, oferece uma introdução abrangente aos fundamentos da lógica clássica e da lógica intuicionística, da teoria dos modelos e do famoso teorema da incompletude de Gödel. A lógica proposicional e a lógica de predicados são apresentadas num estilo fácil de ler usando a dedução natural de Gentzen. O livro prossegue com alguns conceitos e fatos básicos da teoria dos modelos: uma discussão sobre compaccidade, Skolem-Löwenheim, modelos não-padrão e eliminação de quantificadores. A discussão da lógica clássica é encerrada com uma exposição concisa da lógica de segunda ordem. Em vista do crescente reconhecimento de métodos e princípios construtivos, a lógica intuicionística e a semântica de Kripke são cuidadosamente exploradas. Uma série de características construtivas específicas, como a separação e a igualdade, a tradução de Gödel, as propriedades da disjunção e da existência também foram incluídas. O último capítulo sobre o primeiro teorema da incompletude de Gödel é autocontido e fornece uma exposição sistemática da teoria da recursão necessária. Esta nova edição foi devidamente revisada e contém uma nova seção sobre ultraprodutos.
£13.25
Simply Charly Simply Turing
Book Synopsis
£999.99
Springer Nature Switzerland AG Mathematical Logic: Exercises and Solutions
Book SynopsisThis book gathers together a colorful set of problems on classical Mathematical Logic, selected from over 30 years of teaching. The initial chapters start with problems from supporting fields, like set theory (ultrafilter constructions), full-information game theory (strategies), automata, and recursion theory (decidability, Kleene’s theorems). The work then advances toward propositional logic (compactness and completeness, resolution method), followed by first-order logic, including quantifier elimination and the Ehrenfeucht– Fraïssé game; ultraproducts; and examples for axiomatizability and non-axiomatizability. The Arithmetic part covers Robinson’s theory, Peano’s axiom system, and Gödel’s incompleteness theorems. Finally, the book touches universal graphs, tournaments, and the zero-one law in Mathematical Logic. Instructors teaching Mathematical Logic, as well as students who want to understand its concepts and methods, can greatly benefit from this work. The style and topics have been specially chosen so that readers interested in the mathematical content and methodology could follow the problems and prove the main theorems themselves, including Gödel’s famous completeness and incompleteness theorems. Examples of applications on axiomatizability and decidability of numerous mathematical theories enrich this volume.Table of ContentsChapter 1 - Special Set Systems.- Chapter 2 - Games and Voting.- Chapter 3 - Formal languages and automata.- Chapter 4 - Recursion Theory.- Chapter 5 - Propositional Calculus.- Chapter 6 - First-order logic.- Chapter 7 - Fundamental Theorems.- Chapter 8 - Elementary Equivalence.- Chapter 9 - Ultraproducts.- Chapter 10 - Arithmetic.- Chapter 11 - Selected Applications.- Chapter 12 - Solutions.
£42.74
Springer Fachmedien Wiesbaden L. E. J. Brouwer: Intuitionismus
Book SynopsisDer mathematische Intuitionismus war die Schöpfung des niederländischen Mathematikers L. E. J. Brouwer, der damit am Anfang des zwanzigsten Jahrhunderts eine konstruktive Neubegründung der Mathematik anstieß. Dieses Buch enthält drei Arbeiten Brouwers aus den 1920er-Jahren, die seine Ansichten und Methoden in ausgereifter Form wiedergeben, sowie Kommentare dazu. Teil I besteht aus seinen im Jahre 1927 gehaltenen Berliner Gastvorlesungen, die die Ouvertüre zu einem erweiterten und vertieften Intuitionismus darstellen. Teil II entstammt einer geplanten aber unvollendeten Monographie über die Neubegründung der Theorie der reellen Funktionen. Teil III bringt abschließend Brouwers Wiener Vortrag „Mathematik, Wissenschaft und Sprache“, in dem er auf Fragen zur philosophischen Grundlage des Intuitionismus einging. Zusammengenommen geben diese drei Texte ein Gesamtbild von Brouwers intuitionistischen Auffassungen zum Höhepunkt des Grundlagenstreits in der Mathematik.Table of ContentsEinleitung.- BERLINER GASTVORLESUNGEN.- Historische Stellung des Intuitionismus.- Der Gegenstand der intuitionistischen Mathematik: Spezies, Punkte und Räume. Das Kontinuum.- Ordnung.- Analyse des Kontinuums.- Das Haupttheorem der finiten Mengen.- Intuitionistische Kritik an einigen elementaren Theoremen.- Anmerkungen.- THEORIE DER REELLEN FUNKTIONEN.- Grundlagen aus der Theorie der Punktmengen.- Hauptbegriffe über reelle Funktionen einer Veränderlichen.- WIENER VORTRAG: MATHEMATIK, WISSENSCHAFT UND SPRACHE.
£999.99
University Press of America smarTEST Prep
Book SynopsissmarTEST Prep: Guide to LSAT Logic Games presents a standardized and methodical approach to conquering the Logic Games section of the LSAT. This book helps readers to understand the fundamentals of logic games and how to properly diagram their solutions. smarTEST Prep will prepare every reader for test day.Table of ContentsSECTION I – GETTING STARTED Chapter 1 – Why smarTEST Prep? Chapter 2 –How to Use This Book SECTION II – LOGIC GAME BASICS Chapter 3 – Anatomy of a Logic Game Chapter 4 – The Game Directive Chapter 5 - Diagramming Chapter 6 - Deductions Chapter 7 – Testing Answer Choices SECTION III - STRATEGY Chapter 8 – Method of Attack Chapter 9 – Tips for Every Game Type Chapter 10 – Putting It All Together SECTION IV – PRACTICE Games Part 1 Games Part 2 Solutions APPENDICES Appendix A – Formal Logic Appendix B – Symbology
£31.50
Taylor & Francis Ltd Cryptography for Payment Professionals
Book SynopsisAlthough cryptography plays an essential part in most modern solutions, especially in payments, cryptographic algorithms remain a black box for most users of these tools. Just as a sane backend developer does not drill down into low-level disk access details of a server filesystem, payments professionals have enough things to worry about before they ever need to bother themselves with debugging an encrypted value or a message digest. However, at a certain point, an engineer faces the need to identify a problem with a particular algorithm or, perhaps, to create a testing tool that would simulate a counterpart in a protocol that involves encryption.The world of cryptography has moved on with giant leaps. Available technical standards mention acronyms and link to more standards, some of which are very large while others are not available for free. After finding the standards for the algorithm, the specific mode of operation must also be identified. Most implementations use severTable of Contents1. Building Blocks 2. Understanding Payments 3. Securing the Plastic :Magnetic Stripe and EMV 4. Securing the Network 5. Protecting the PIN 6. Regulation and Compliance A. Bits and Digits B. RSA D. PIN Examples E. JOSE Example F. Standard Bodies
£999.99
Broadview Press Ltd Formal Logic
Book SynopsisFormal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website (complimentary for anyone who buys the book) offers supplemental practice software and tutorial videos.Trade Review“Formal Logic is clear, accessible, and intuitive, but it is also precise, explicit, and thorough. Complex and often confusing concepts are rolled out in a no-nonsense and direct manner with funny and demystifying terminology and helpful analogies. It's a pedagogical gem.” — Mary Kate McGowan, Wellesley College“This is an excellent introductory text in symbolic logic. It is accessible, with clear and concise explanations of key concepts, along with many helpful examples and practice problems, but also rigorous enough to prepare students for a second course in logic; indeed, I do not know of any book that better combines these virtues. I am looking forward to using Formal Logic in my courses.” — Kevin Morris, Tulane University“This book makes the ideas of sentential logic, predicate logic, and formal proof easily accessible by getting directly to the point of each in natural, non-technical language. It is concise while never hurried. It gets the details right, not by focusing on them as details, but through clear insight into why they are as they are.” — Colin McLarty, Case Western Reserve University“Paul Gregory’s Formal Logic is worth careful consideration for anyone adopting a new logic text. The inclusion of chapters on set theory and modal logic makes it a valuable resource for students looking to go beyond the standard introduction to logic.” — Michael Hicks, Miami UniversityTable of ContentsI: Informal Notions1: Informal Introduction1.1 Logic: What, Why, How?1.2 Arguments, Forms, and Truth Values1.3 Deductive Criteria1.3.1Quirky Cases of Deductive Validity1.4 Inductive Criteria1.5 Other Deductive Properties1.6 Exercises1.7 Chapter GlossaryII: Truth-Functional Logic2: The Language S2.1 Introducing S2.1.1 Compound Sentences and Truth-Functional Logic 2.1.2 Negation—It is not the case that…2.1.3 Conjunction—Both…and---2.1.4 Disjunction—Either…or---2.1.5 Material Conditional—If …, then---2.1.6 Material Biconditional—…if and only if---2.1.7 Conditionals and Non-Truth-Functionality2.2 Some Technical Bits2.2.1 Object Language and Metalanguage2.2.2 Use and Mention2.2.3 Metavariables2.2.4 Syntax and Semantics 2.3 The Syntax of S2.3.1 Defining the Language2.3.2 Syntactic Concepts and Conventions2.3.3 Exercises2.4 Alternate Symbols and Other Choices2.5 Chapter Glossary3: Formal Semantics for S3.1 Truth Value Assignments and Truth Tables3.2 Semantic Properties of Individual Wffs3.2.1 Exercises3.3 Semantic Properties of Sets of Wffs3.3.1 Exercises3.4 Semantic Properties, Their Interrelations, and Simple Metalogic3.4.1 Exercises3.5 Truth Trees3.5.1 Tests with Truth Trees3.5.2 Exercises3.6 Chapter Glossary4: SD: Natural Deduction in S4.1 The Basic Idea4.1.1 Reiteration4.1.2 Wedge Rules4.1.3 Arrow Rules4.1.4 Hook Rules4.1.5 Vee Rules4.1.6 Double Arrow Rules4.1.7 Exercises4.2 Derivations: Strategies and Notes4.3 Proof Theory in SD4.3.1 Exercises4.4 SDE, an Extension to SD4.4.1 The Inference Rules of SDE4.4.2 Exercises4.4.3 The Replacement Rules of SDE4.4.4 Exercises4.5 Chapter GlossaryIII: Quantificational Logic5: The Language P5.1 Introducing P5.1.1 Quantificational Logic5.1.2 Predicates and Singular Terms5.1.3 Predicate Letters and Individual Constants in P5.1.4 Pronouns and Quantifiers5.1.5 Variables and Quantifiers in P 5.2 The Syntax of P5.2.1 Defining the Language5.2.2 Syntactic Concepts and Conventions5.2.3 Exercises5.3 Simple Symbolizations5.3.1 Non-categorical Claims5.3.2 Exercises5.3.3 Categorical Claims5.3.4 Exercises5.4 Complex Symbolizations5.4.1 Basics of Overlapping Quantifiers5.4.2 Exercises5.4.3 Identity, Numerical Quantification, and Definite Descriptions5.4.4 Exercises5.5 Chapter Glossary6: Formal Semantics for P6.1 Semantics and Interpretations6.1.1 Basics of Interpretations6.1.2 Interlude: A Little Bit of Set Theory6.1.3 Formal Interpretation of P6.1.4 Constructing Interpretations6.2 Semantic Properties of Individual Wffs6.2.1 Exercises6.3 Semantic Properties of Sets of Wffs6.3.1 Exercises6.4 Quantifier Scope and Distribution6.4.1 Exercises6.5 Properties of Relations6.5.1 Exercises6.6 Chapter Glossary7: PD: Natural Deduction in P7.1 Derivation Rules for the Quantifiers7.1.1 Universal Elimination7.1.2 Existential Introduction7.1.3 Universal Introduction7.1.4 Existential Elimination7.1.5 Exercises7.2 Derivations: Strategies and Notes7.3 Proof Theory in PD7.3.1 Exercises7.4 PDE, an Extension to PD7.4.1 Quantifier Negation7.4.2 Exercises7.4 Chapter GlossaryIV: Advanced Topics8: Basic Set Theory, Paradox, and Infinity8.1 Basics of Sets8.2 Russell’s Paradox8.3 The Axiom Schema of Separation8.4 Subset, Intersection, Union, Difference8.4.1 Exercises8.5 Pairs, Ordered Pairs, Power Sets, Relations, and Functions8.6 Infinite Sets and Cantor’s Proof8.6.1 Exercises8.7 Chapter Glossary9: Modal Logic9.1 Necessity, Possibility, and Impossibility9.1.1 Modalities9.1.2 Logical, Metaphysical, Physical9.1.3 Possible Worlds9.2 The Language S9.2.1 The Syntax of S9.2.2 Exercises9.3 Basic Possible Worlds Semantics for S9.3.1 Semantic Properties of Wffs and Sets of Wffs9.3.2 Exercises9.3.3 Possible Worlds and Trees9.3.4 Exercises9.4 Natural Deduction in S9.4.1 System K9.4.2 System D9.4.3 System T9.4.4 System B9.4.5 System S49.4.6 System S59.4.7 Relations Between Modal Systems9.4.8 Exercises9.5 Chapter GlossaryV: AppendicesA: Answers to ExercisesB: GlossaryC: Truth Tables, Tree Rules, and Derivation RulesC.1 Characteristic Truth TablesC.2 Truth Tree Rules for SC.3 The Derivation System SDC.4 The Derivation System SDEC.5 The Derivation System PD
£999.99
Centre for the Study of Language & Information Vicious Circles: On the Mathematics of
Book SynopsisCircular analyses of philosophical, linguistic, or computational phenomena have been attacked on the assumption that they conflict with mathematical rigour. Barwise and Moss have undertaken to prove this assumption false. This volume is concerned with extending the modelling capabilities of set theory to provide a uniform treatment of circular phenomena. As a means of guiding the reader through the concrete examples of the theory, the authors have included many exercises and solutions: these exercises range in difficulty and ultimately stimulate the reader to come up with new results. Vicious Circles is intended for use by researchers who want to use hypersets; although some experience in mathematics is necessary, the book is accessible to people with widely differing backgrounds and interests.Trade Review' ... a book to learn from.' L'Enseignement MathématiqueTable of ContentsPart I. Background: 1. Introduction; 2. Background on set theory; Part II. Vicious Circles: 3. Circularity in computer science; 4. Circularity in philosophy; 5. Circularity and paradox; Part III. Basic Theory: 6. The solution dilemma; 7. Bisimulation; Part IV. Elementary applications: 8. Graphs; 9. Modal logic; 10. Streams; 11. Games; 12. Modeling the semantic paradoxes; Part V. Further Theory: 13. Greatest fixed points; 14. Uniform operators; 15. Corecursion; Part VI. Further Applications: 16. Some applications; 17. Modeling partial information; 18. Circularity and the notion of set; 19. Conclusions and future directions.
£66.74
Centre for the Study of Language & Information Quantifiers, Deduction, and Context
Book SynopsisThis volume is an outgrowth of the second Workshop on Logic, Language and Computation held at Stanford in the spring of 1993. The workshop brought together researchers interested in natural language to discuss the current state of the art at the borderline of logic, linguistics and computer science. The papers in this collection fall into three central research areas of the nineties, namely quantifiers, deduction, and context. Each contribution reflects an ever-growing interest in a more dynamic approach to meaning, which focuses on inference patterns and the interpretation of sentences in the context of a larger discourse. The papers apply either current logical machinery - such as linear logic, generalised quantifier theory, dynamic logic - or formal analyses of the notion of context in discourse to classical linguistic issues, with original and thought-provoking results deserving of a wide audience.Table of Contents1. The Context-Dependency of Implicit Arguments; 2. A Deductive Account of Quantification in LFG; 3. The Sorites Fallacy and the Context-dependence of Vague Predicates; 4. Presuppositions and Information Updating; 5. Indefeasible semantics and Defeasible Pragmatics; 6. Pronoun Interpretation Preferences: an Account; 7. Resumptive Quantifiers in Exception Sentences; 8. (In)definites and genericity.
£26.37
Centre for the Study of Language & Information Universal Logic
Book SynopsisUniversal Logic conceptualizes a new logic, where the main inference connective is understood as 'meaning containment'. Classical logic plays a restricted role, applying to 'classical sentences', while the new logic is studied in depth with chapters on semantics, proof theory, and properties. Based on this logic, simple consistency is proved for naive class theory, also in conjunction with 'classical theories' such as a Z-F-style set theory. This book shows how the main set-theoretic and semantic paradoxes can be solved in a systematic way, which is conceptualized independently of the paradoxes themselves.
£34.82
Centre for the Study of Language & Information Advances in Modal Logic, Volume 2
Book SynopsisModal logic originated in philosophy as the logic of necessity and possibility. Now it has reached a high level of mathematical sophistication and has many applications in a variety of disciplines, ranging from artificial intelligence, computer science and mathematics via natural language syntax and semantics to philosophy. It is the main source of formal languages aimed at analyzing complex notions such as common knowlwdge and formal provability. This volume presents a broad, contemporary view of the field, with contributions covering the foundations of modal logic as well as its many application areas.
£26.00
Lehigh University Press Logic with a Probability Semantics
Book SynopsisThe present study is an extension of the topic introduced in Dr. Hailperin's Sentential Probability Logic, where the usual true-false semantics for logic is replaced with one based more on probability, and where values ranging from 0 to 1 are subject to probability axioms. Moreover, as the word "sentential" in the title of that work indicates, the language there under consideration was limited to sentences constructed from atomic (not inner logical components) sentences, by use of sentential connectives ("no," "and," "or," etc.) but not including quantifiers ("for all," "there is"). An initial introduction presents an overview of the book. In chapter one, Halperin presents a summary of results from his earlier book, some of which extends into this work. It also contains a novel treatment of the problem of combining evidence: how does one combine two items of interest for a conclusion-each of which separately impart a probability for the conclusion-so as to have a probability for the conclusion based on taking both of the two items of interest as evidence? Chapter two enlarges the Probability Logic from the first chapter in two respects: the language now includes quantifiers ("for all," and "there is") whose variables range over atomic sentences, not entities as with standard quantifier logic. (Hence its designation: ontological neutral logic.) A set of axioms for this logic is presented. A new sentential notion—the suppositional—in essence due to Thomas Bayes, is adjoined to this logic that later becomes the basis for creating a conditional probability logic. Chapter three opens with a set of four postulates for probability on ontologically neutral quantifier language. Many properties are derived and a fundamental theorem is proved, namely, for any probability model (assignment of probability values to all atomic sentences of the language) there will be a unique extension of the probability values to all closed sentences of the language.Trade ReviewThere are some original features in the treatment given to the subject by the author, which make it an interesting reading also for people well acquainted with other work on probabilistic logics. * Mathematical Reviews *Anyone interested in the history and philosophy of logic will find this work intriguing. Amateur logicians will find it challenging but will appreciate the progression toward expressing quantified probability logic in a richer formal structure, thus broadening the book's range of possible applications. * Mathematics Teacher *Table of Contents1 Preface 2 Introduction: An Overview Part 3 1. Sentenial Probability Logic Chapter 4 1.1 Verity logic Chapter 5 1.2 Probability logic for S Chapter 6 1.3 Interval-based probability Chapter 7 1.4 Sentential suppositional logic Chapter 8 1.5 Conditional-probability logic Chapter 9 1.6 Logical consequence for probability logic Chapter 10 1.7 Combining evidence Part 11 2. Logic With Quantifiers Chapter 12 2.0 Ontologically neutral (ON) language Chapter 13 2.1 Syntax and semantics of ON logic Chapter 14 2.2 Axiomatic formalization of ON logic Chapter 15 2.3 Adequacy of ON logic Chapter 16 2.4 Quantification logic with the suppositional Part 17 3. Probability functions on ON languages Chapter 18 3.1 Probability functions on ON languages Chapter 19 3.2 Main Theorem of ON probability logic Chapter 20 3.3 Borel's denumerable probability Chapter 21 3.4 Infinite "events" and probability functions Chapter 22 3.5 Kolmogorov probability spaces Chapter 23 3.6 Logical consequence in probability logic Chapter 24 3.7 Borel's denumerable probability defended Part 25 4. Conditional-Probability and Quantifiers Chapter 26 4.1 Conditional-probability in quantifier logic Chapter 27 4.2 The paradox of confirmation 28 Bibliography 29 Index
£59.40
Orange Grove Books A Problem Course in Mathematical Logic
Book Synopsis
£26.36
