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Degrees of Unsolvability. (AM-55), Volume 55 / / Gerald E. Sacks
| Degrees of Unsolvability. (AM-55), Volume 55 / / Gerald E. Sacks |
| Autore | Sacks Gerald E. |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (189 pages) |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Recursive functions
Unsolvability (Mathematical logic) |
| Soggetto non controllato |
Addition
Aleph number Algebraic topology Approximation Arithmetic function Arithmetical set Axiom of choice Baire category theorem Cardinality of the continuum Cardinality Cartesian product Category theory Commutative property Conjecture Continuum hypothesis Contradiction Corollary Countable set Disjoint union Effective method Empty set Enumeration Equation Existence theorem Existential quantification Finite set Fixed-point theorem Fourier analysis Fubini's theorem Gödel numbering Identity function Inequality (mathematics) Infimum and supremum Integer Lebesgue measure Limit of a sequence Limit point Mathematical induction Mathematics Mean of a function Measure (mathematics) Metric space Monotonic function Mostowski Mutual exclusivity Natural number Null set Open set Partial function Partially ordered set Predicate (mathematical logic) Product measure Product topology Real number Recursion Recursive set Recursively enumerable set Reductio ad absurdum Regular space Requirement Scientific notation Sequence Set (mathematics) Simultaneous equations Subset Theorem Topology Transfinite induction Tychonoff's theorem Uncountable set Union (set theory) Upper and lower bounds Variable (mathematics) W0 Well-order Without loss of generality Zorn's lemma |
| ISBN | 1-4008-8184-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface to revised edition -- Contents -- §1. Preliminaries -- §2 . A Continuum of Mutually Incomparable Degrees -- §3. Uncountable Suborderings of Degrees -- §4. The Priority Method Of Friedberg and Muchnik -- §5. An Existence Theorem For Recursively Enumerable Degrees -- §6 . The Jump Operator -- §7. An Interpolation Theorem for Recursively Enumerable Degrees -- §8. Minimal Upper Bounds for Sequences of Degrees -- §9. Minimal Degrees -- §10. Measure-Theoretic, Category and Descriptive Set-Theoretic Arguments -- §11. Initial Segments of Degrees -- §12. Further Results and Conjectures -- Bibliography |
| Record Nr. | UNINA-9910154752603321 |
Sacks Gerald E.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris
| Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
| Descrizione fisica | 1 online resource (257 p.) |
| Disciplina | 530.15 |
| Collana | Mathematical Notes |
| Soggetto topico |
Mathematical physics
Diffusion Quantum theory |
| Soggetto non controllato |
Affine space
Algebra Axiom Bell's theorem Brownian motion Central limit theorem Classical mathematics Classical mechanics Clifford algebra Combinatorial proof Commutative property Constructive quantum field theory Continuum hypothesis David Hilbert Dimension (vector space) Discrete mathematics Distribution (mathematics) Eigenfunction Equation Euclidean space Experimental mathematics Fermi–Dirac statistics Feynman–Kac formula First-order logic Fokker–Planck equation Foundations of mathematics Fractal dimension Gaussian process Girsanov theorem Gödel's incompleteness theorems Hilbert space Hilbert's program Holomorphic function Infinitesimal Integer Internal set theory Interval (mathematics) Limit (mathematics) Mathematical induction Mathematical optimization Mathematical physics Mathematical proof Mathematician Mathematics Measurable function Measure (mathematics) Minkowski space Natural number Neo-Riemannian theory Non-standard analysis Number theory Operator algebra Ornstein–Uhlenbeck process Orthonormal basis Perturbation theory (quantum mechanics) Philosophy of mathematics Predicate (mathematical logic) Probability measure Probability space Probability theory Probability Projection (linear algebra) Pure mathematics Pythagorean theorem Quantum field theory Quantum fluctuation Quantum gravity Quantum harmonic oscillator Quantum mechanics Quantum system Quantum teleportation Random variable Real number Renormalization group Renormalization Riemann mapping theorem Riemann surface Riemannian geometry Riemannian manifold Schrödinger equation Scientific notation Set (mathematics) Sign (mathematics) Sobolev inequality Special relativity Spectral theorem Spin (physics) Statistical mechanics Stochastic calculus Stochastic differential equation Tensor algebra Theorem Theoretical physics Theory Turing machine Variable (mathematics) Von Neumann algebra Wiener process Wightman axioms Zermelo–Fraenkel set theory |
| ISBN | 1-4008-6525-5 |
| Classificazione | 33.65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction: Diffusive Motion and Where It Leads / Faris, William G. -- Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys / Gross, Leonard -- Chapter Three. Ed Nelson's Work in Quantum Theory / Simon, Barry -- Chapter Four Symanzik, Nelson, and Self-Avoiding Walk / Brydges, David C. -- Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead / Carlen, Eric -- Chapter Six. Current Trends in Optimal Transportation: A Tribute to Ed Nelson / Villani, Cédric -- Chapter Seven. Internal Set Theory and Infinitesimal Random Walks / Lawler, Gregory F. -- Chapter Eight. Nelson's Work on Logic and Foundations and Other Reflections on the Foundations of Mathematics / Buss, Samuel R. -- Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music / Hook, Julian -- Chapter Ten. Afterword / Nelson, Edward -- Appendix A. Publications by Edward Nelson -- Index |
| Record Nr. | UNINA-9910786749603321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris
| Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
| Descrizione fisica | 1 online resource (257 p.) |
| Disciplina | 530.15 |
| Collana | Mathematical Notes |
| Soggetto topico |
Mathematical physics
Diffusion Quantum theory |
| Soggetto non controllato |
Affine space
Algebra Axiom Bell's theorem Brownian motion Central limit theorem Classical mathematics Classical mechanics Clifford algebra Combinatorial proof Commutative property Constructive quantum field theory Continuum hypothesis David Hilbert Dimension (vector space) Discrete mathematics Distribution (mathematics) Eigenfunction Equation Euclidean space Experimental mathematics Fermi–Dirac statistics Feynman–Kac formula First-order logic Fokker–Planck equation Foundations of mathematics Fractal dimension Gaussian process Girsanov theorem Gödel's incompleteness theorems Hilbert space Hilbert's program Holomorphic function Infinitesimal Integer Internal set theory Interval (mathematics) Limit (mathematics) Mathematical induction Mathematical optimization Mathematical physics Mathematical proof Mathematician Mathematics Measurable function Measure (mathematics) Minkowski space Natural number Neo-Riemannian theory Non-standard analysis Number theory Operator algebra Ornstein–Uhlenbeck process Orthonormal basis Perturbation theory (quantum mechanics) Philosophy of mathematics Predicate (mathematical logic) Probability measure Probability space Probability theory Probability Projection (linear algebra) Pure mathematics Pythagorean theorem Quantum field theory Quantum fluctuation Quantum gravity Quantum harmonic oscillator Quantum mechanics Quantum system Quantum teleportation Random variable Real number Renormalization group Renormalization Riemann mapping theorem Riemann surface Riemannian geometry Riemannian manifold Schrödinger equation Scientific notation Set (mathematics) Sign (mathematics) Sobolev inequality Special relativity Spectral theorem Spin (physics) Statistical mechanics Stochastic calculus Stochastic differential equation Tensor algebra Theorem Theoretical physics Theory Turing machine Variable (mathematics) Von Neumann algebra Wiener process Wightman axioms Zermelo–Fraenkel set theory |
| ISBN | 1-4008-6525-5 |
| Classificazione | 33.65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction: Diffusive Motion and Where It Leads / Faris, William G. -- Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys / Gross, Leonard -- Chapter Three. Ed Nelson's Work in Quantum Theory / Simon, Barry -- Chapter Four Symanzik, Nelson, and Self-Avoiding Walk / Brydges, David C. -- Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead / Carlen, Eric -- Chapter Six. Current Trends in Optimal Transportation: A Tribute to Ed Nelson / Villani, Cédric -- Chapter Seven. Internal Set Theory and Infinitesimal Random Walks / Lawler, Gregory F. -- Chapter Eight. Nelson's Work on Logic and Foundations and Other Reflections on the Foundations of Mathematics / Buss, Samuel R. -- Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music / Hook, Julian -- Chapter Ten. Afterword / Nelson, Edward -- Appendix A. Publications by Edward Nelson -- Index |
| Record Nr. | UNINA-9910811911703321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Mathematical Logic (PMS-13), Volume 13 / / Alonzo Church
| Introduction to Mathematical Logic (PMS-13), Volume 13 / / Alonzo Church |
| Autore | Church Alonzo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (389 pages) |
| Disciplina | 511.3 |
| Collana | Princeton Mathematical Series |
| Soggetto topico | Logic, Symbolic and mathematical |
| Soggetto non controllato |
Abstract algebra
Acta Mathematica Arithmetic Axiom of choice Axiom of infinity Axiom of reducibility Axiom schema Axiom Axiomatic system Binary function Boolean algebra (structure) Boolean ring Calculus ratiocinator Characterization (mathematics) Class (set theory) Classical mathematics Commutative property Commutative ring Conditional disjunction David Hilbert Decision problem Deduction theorem Denotation Disjunctive syllogism Double negation Duality (mathematics) Elementary algebra Elementary arithmetic English alphabet Equation Existential quantification Expression (mathematics) Formation rule Frege (programming language) Function (mathematics) Functional calculus Fundamenta Mathematicae Gödel numbering Gödel's completeness theorem Gödel's incompleteness theorems Hilbert's program Hypothetical syllogism Imperative logic Inference Introduction to Mathematical Philosophy Lambda calculus Linear differential equation Logic Logical connective Logical disjunction Material implication (rule of inference) Mathematical analysis Mathematical induction Mathematical logic Mathematical notation Mathematical practice Mathematical problem Mathematical theory Mathematics Mathematische Zeitschrift Metatheorem Modal logic Modus ponendo tollens Natural number Naturalness (physics) Negation Notation Number theory Object language Parity (mathematics) Predicate (mathematical logic) Prenex normal form Principia Mathematica Propositional calculus Propositional function Propositional variable Quantifier (logic) Range (mathematics) Real number Recursion (computer science) Restriction (mathematics) Riemann surface Ring (mathematics) Rule of inference Scientific notation Second-order arithmetic Series (mathematics) Sign (mathematics) Skolem normal form Special case Tautology (logic) Term logic The Principles of Mathematics Theorem Three-dimensional space (mathematics) Transfinite number Triviality (mathematics) Truth table Variable (mathematics) Zermelo set theory |
| ISBN | 1-4008-8145-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Introduction -- I. The Propositional Calculus -- II. The Propositional Calculus (Continued) -- III. Functional Calculi of First Order -- IV. The Pure Functional Calculus of First Order -- V. Functional Calculi of Second Order -- Index of Definitions -- Index of Authors -- Errata |
| Record Nr. | UNINA-9910154754303321 |
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Church Alonzo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Theory of Formal Systems. (AM-47), Volume 47 / / Raymond M. Smullyan
| Theory of Formal Systems. (AM-47), Volume 47 / / Raymond M. Smullyan |
| Autore | Smullyan Raymond M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (157 pages) : illustrations |
| Disciplina | 511.33 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Recursive functions
Metamathematics |
| Soggetto non controllato |
Addition
Algebraic geometry Alonzo Church Arithmetic function Arithmetic Atomic sentence Axiom A. Axiom schema Axiom Axiomatic system Binary relation Cantor's diagonal argument Cartesian product Characterization (mathematics) Chinese remainder theorem Closed-form expression Closure (mathematics) Combination Combinatory logic Complement (set theory) Concatenation theory Consistency Constructive proof Corollary Countable set Counterexample Decidability (logic) Decision problem Definable set Diagonalization Direct proof Disjoint sets Enumeration Equation Existential quantification Exponential function Finite set Formal system Functional calculus Gödel numbering Gödel's incompleteness theorems Herbrand's theorem Inference Integer factorization Iteration John Myhill Logical connective Logical consequence Mathematical induction Mathematical logic Mathematician Mathematics Metamathematics Modus ponens Natural number Negation Number theory Order theory Parity (mathematics) Peano axioms Predicate (mathematical logic) Prenex normal form Primitive recursive function Quantifier (logic) Recursion Recursive set Recursively enumerable set Remainder Requirement Rule of inference Scientific notation Sequence Set (mathematics) Sign (mathematics) Special case Subset Suggestion System U. Theorem Theory Transfinite number Turing machine Universal set Validity Variable (mathematics) Zermelo set theory |
| ISBN | 1-4008-8200-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- ANNALS OF MATHEMATICS STUDIES -- CHAPTER I: FORMAL MATHEMATICAL SYSTEMS -- CHAPTER II: FORMAL REPRESENTABILITY AND RECURSIVE ENUMERABILITY -- CHAPTER III: INCOMPLETENESS -AND UNDECIDABILITY -- CHAPTER IV: RECURSIVE FUNCTION THEORY -- CHAPTER V: CREATIVITY AND EFFECTIVE INSEPARABILITY -- SUPPLEMENT: APPLICATIONS TO MATHEMATICAL LOGIC -- REFERENCE AND BRIEF BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154750903321 |
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Smullyan Raymond M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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