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Bounded arithmetic, propositional logic, and complexity theory / Jan Krajicek
Bounded arithmetic, propositional logic, and complexity theory / Jan Krajicek
Autore Krajícek, Jan
Pubbl/distr/stampa Cambridge [England] ; New York : Cambridge University Press, 1995
Descrizione fisica xiii, 343 p. ; 24 cm.
Disciplina 511.3
Collana Encyclopedia of mathematics and its applications ; 60
Soggetto topico Computational complexity
Constructive mathematics
Proposition (Logic)
ISBN 0521452058
Classificazione AMS 03F
QA9.56.K73
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000722369707536
Krajícek, Jan  
Cambridge [England] ; New York : Cambridge University Press, 1995
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Constructibility and mathematical existence [[electronic resource] /] / Charles S. Chihara
Constructibility and mathematical existence [[electronic resource] /] / Charles S. Chihara
Autore Chihara Charles S. <1932->
Pubbl/distr/stampa Oxford, : Clarendon Press
Descrizione fisica 1 online resource (299 p.)
Disciplina 511
Soggetto topico Constructive mathematics
Logic, Symbolic and mathematical
Mathematics - Philosophy
Soggetto genere / forma Electronic books.
ISBN 1-281-98918-5
9786611989187
0-19-152000-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910454674903321
Chihara Charles S. <1932->  
Oxford, : Clarendon Press
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Constructibility and mathematical existence [[electronic resource] /] / Charles S. Chihara
Constructibility and mathematical existence [[electronic resource] /] / Charles S. Chihara
Autore Chihara Charles S. <1932->
Pubbl/distr/stampa Oxford, : Clarendon Press
Descrizione fisica xv, 282 p. : ill
Disciplina 511
Soggetto topico Constructive mathematics
Logic, Symbolic and mathematical
Mathematics - Philosophy
ISBN 0191520004
9780191520006
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910795842803321
Chihara Charles S. <1932->  
Oxford, : Clarendon Press
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Constructibility and mathematical existence / / Charles S. Chihara
Constructibility and mathematical existence / / Charles S. Chihara
Autore Chihara Charles S. <1932->
Edizione [1st ed.]
Pubbl/distr/stampa Oxford, : Clarendon Press
Descrizione fisica xv, 282 p. : ill
Disciplina 511
Soggetto topico Constructive mathematics
Logic, Symbolic and mathematical
Mathematics - Philosophy
ISBN 0191520004
9780191520006
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Acknowledgements -- Contents -- I: The Constructibility Theory -- 1. The Problem of Existence in Mathematics -- 1. The Philosophical Problem -- 2. Quine's Platonism -- 3. Gödel's Platonism -- 4. Heyting's Intuitionism -- 2. The Constructibility Quantifiers -- 1. Introduction -- 2. The Language L -- 3. The Language L* -- 4. Some Objections Considered -- 3. Constructibility and Open-Sentences -- 1. The Constructibility of Open-Sentences -- 2. A Simple Type Theory for Open-Sentences -- 3. A Comparison with a Predicative System -- 4. The Logical Space of Open-Sentences -- 5. The Kinds of Open-Sentences to be Discussed -- 6. Quine's Objections to Modality -- 4. The Deductive System -- 1. The Language Lt -- 2. The Theory Ct -- 3. Objections to Type Theory -- 4. Objections to the Constructibility Theory -- 5. Cardinality and Number Theory -- 1. Formal Developments -- 2. Philosophical Amplifications -- 6. Measurable Quantities and Analysis -- 1. A Standard Development of Real Analysis -- 2. A Theory of Lengths -- 3. Geometrical Representations of Functions -- 4. Putnam's Case for Realism -- 5. Complex Analysis -- 6. Applications by Means of Structural Identity -- II: Philosophical Developments -- 7. Mathematical Structuralism -- 1. Introduction -- 2. The Structuralist View of Applications -- 3. Resnik on the Nature of Structures -- 4. An Evaluation of Shapiro's Account of Mathematics -- 5. An Evaluation of Resnik's Account of Structures -- 8. Science without Numbers -- 1. Introduction to Field's Instrumentalism -- 2. The Conservation Theorem -- 3. Field's Cardinality Theory -- 4. Field's Nominalistic Physics -- 5. Some Doubts about the Adequacy of Field's View -- 6. A Comparison with the Constructibility Theory -- 7. A Re-examination of Resnik's Reasoning -- 8. The Neo-Quinian Argument Reconsidered.
9. Why Burgess Is a Moderate Realist -- 1. A Dilemma for the Nominalist -- 2. A False Dilemma -- 3. Burgess's Objection to Field's Preference for Nominalism -- 10. Maddy's Solution to the Problem of Reference -- 1. Involved Platonists -- 2. Problems of Reference for Mathematical Platonism -- 3. Maddy's Solution -- 4. Doubts about Maddy's Solution -- 5. Concluding Comments -- 11. Kitcher's Ideal Agents -- 1. Kitcher's Account of Mathematical Knowledge -- 2. An Analysis of Kitcher's View: Details and Doubts -- 12. Deflationism and Mathematical Truth -- 1. Field's Deflationism -- 2. A Reconsideration of the Veridicality of Mathematics -- Appendix: Field's Nominalistic Logical Theory -- Postscript -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- V -- W -- Z.
Record Nr. UNINA-9910823203403321
Chihara Charles S. <1932->  
Oxford, : Clarendon Press
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Constructibility and mathematical existence / Charles S. Chihara
Constructibility and mathematical existence / Charles S. Chihara
Autore Chihara, Charles S.
Pubbl/distr/stampa Oxford : Clarendon Press, 1990
Descrizione fisica xv, 282 p. : ill. ; 23 cm.
Disciplina 511
Soggetto topico Constructive mathematics
Mathematical logic
Mathematics-philosophy
Symbolic logic
ISBN 0198239750
Classificazione QAB.4.C45
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000783669707536
Chihara, Charles S.  
Oxford : Clarendon Press, 1990
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Constructive continuity / / Mark Mandelkern
Constructive continuity / / Mark Mandelkern
Autore Mandelkern Mark <1933->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1983]
Descrizione fisica 1 online resource (126 p.)
Disciplina 510 s
515.7
Collana Memoirs of the American Mathematical Society
Soggetto topico Functions, Continuous
Constructive mathematics
Soggetto genere / forma Electronic books.
ISBN 1-4704-0687-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""CONTENTS""; ""ABSTRACT""; ""1. PROBLEMS, METHODS, AND MAIN RESULTS""; ""PART I. PRELIMINARIES""; ""2. Brouwerian Counterexamples""; ""3. Real Numbers""; ""4. Infima and Suprema""; ""5. Metric Spaces""; ""PART II. RELIEFS AND CONTINUOUS FUNCTIONS""; ""6. Reliefs""; ""7. Continuity""; ""8. Intermediate Values""; ""9. Bounds and Extremes""; ""10. Connectivity and Convexity""; ""11. Located Sets""; ""PART III. MONOTONE FUNCTIONS""; ""12. Monotonicity""; ""13. Monotonicity and Continuity""; ""PART IV. RELIEF FUNCTIONS AND THE LIMITED CONTINUITY PRINCIPLE""; ""14. Relief Functions""
""15. Existence of Relief Functions""""16. The Limited Continuity Principle""; ""REFERENCES""; ""INDEX OF SYMBOLS""; ""INDEX OF TERMS""
Record Nr. UNINA-9910479927903321
Mandelkern Mark <1933->  
Providence, Rhode Island : , : American Mathematical Society, , [1983]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Constructive continuity / / Mark Mandelkern
Constructive continuity / / Mark Mandelkern
Autore Mandelkern Mark <1933->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1983]
Descrizione fisica 1 online resource (126 p.)
Disciplina 510 s
515.7
Collana Memoirs of the American Mathematical Society
Soggetto topico Functions, Continuous
Constructive mathematics
ISBN 1-4704-0687-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""CONTENTS""; ""ABSTRACT""; ""1. PROBLEMS, METHODS, AND MAIN RESULTS""; ""PART I. PRELIMINARIES""; ""2. Brouwerian Counterexamples""; ""3. Real Numbers""; ""4. Infima and Suprema""; ""5. Metric Spaces""; ""PART II. RELIEFS AND CONTINUOUS FUNCTIONS""; ""6. Reliefs""; ""7. Continuity""; ""8. Intermediate Values""; ""9. Bounds and Extremes""; ""10. Connectivity and Convexity""; ""11. Located Sets""; ""PART III. MONOTONE FUNCTIONS""; ""12. Monotonicity""; ""13. Monotonicity and Continuity""; ""PART IV. RELIEF FUNCTIONS AND THE LIMITED CONTINUITY PRINCIPLE""; ""14. Relief Functions""
""15. Existence of Relief Functions""""16. The Limited Continuity Principle""; ""REFERENCES""; ""INDEX OF SYMBOLS""; ""INDEX OF TERMS""
Record Nr. UNINA-9910788898903321
Mandelkern Mark <1933->  
Providence, Rhode Island : , : American Mathematical Society, , [1983]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Constructive continuity / / Mark Mandelkern
Constructive continuity / / Mark Mandelkern
Autore Mandelkern Mark <1933->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1983]
Descrizione fisica 1 online resource (126 p.)
Disciplina 510 s
515.7
Collana Memoirs of the American Mathematical Society
Soggetto topico Functions, Continuous
Constructive mathematics
ISBN 1-4704-0687-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""CONTENTS""; ""ABSTRACT""; ""1. PROBLEMS, METHODS, AND MAIN RESULTS""; ""PART I. PRELIMINARIES""; ""2. Brouwerian Counterexamples""; ""3. Real Numbers""; ""4. Infima and Suprema""; ""5. Metric Spaces""; ""PART II. RELIEFS AND CONTINUOUS FUNCTIONS""; ""6. Reliefs""; ""7. Continuity""; ""8. Intermediate Values""; ""9. Bounds and Extremes""; ""10. Connectivity and Convexity""; ""11. Located Sets""; ""PART III. MONOTONE FUNCTIONS""; ""12. Monotonicity""; ""13. Monotonicity and Continuity""; ""PART IV. RELIEF FUNCTIONS AND THE LIMITED CONTINUITY PRINCIPLE""; ""14. Relief Functions""
""15. Existence of Relief Functions""""16. The Limited Continuity Principle""; ""REFERENCES""; ""INDEX OF SYMBOLS""; ""INDEX OF TERMS""
Record Nr. UNINA-9910828762603321
Mandelkern Mark <1933->  
Providence, Rhode Island : , : American Mathematical Society, , [1983]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Constructive functional analysis / D. S. Bridges
Constructive functional analysis / D. S. Bridges
Autore Bridges, Douglas S.
Pubbl/distr/stampa London ; San Francisco : Pitman Publishing, 1979
Descrizione fisica 203 p. ; 25 cm.
Disciplina 515.7
Collana Pitman research notes in mathematics series, ISSN 02693674 ; 28
Soggetto topico Best approximations
Constructive mathematics
Functional analysis
Proof theory
ISBN 0273084186
Classificazione AMS 03F99
AMS 41A50
AMS 46-01
AMS 46-XX
QA320
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000784669707536
Bridges, Douglas S.  
London ; San Francisco : Pitman Publishing, 1979
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Constructive mathematics : proceedings of the New Mexico State University conference held at Las Cruces, New Mexico, August 11-15, 1980 / / edited by Fred Richman
Constructive mathematics : proceedings of the New Mexico State University conference held at Las Cruces, New Mexico, August 11-15, 1980 / / edited by Fred Richman
Edizione [1st ed. 1981.]
Pubbl/distr/stampa Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1981]
Descrizione fisica 1 online resource (X, 350 p.)
Disciplina 511.36
Collana Lecture Notes in Mathematics
Soggetto topico Constructive mathematics
Intuitionistic mathematics
ISBN 3-540-38759-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Seidenberg's condition P -- Field extensions -- Dedekind domains -- Effective mathematics — the computer algebra viewpoint -- On some open problems in constructive probability theory -- Consistency and independence results in intuitionistic set theory -- Errata -- Computability of ordinal recursion of type level two -- A constructive approach to classical mathematics -- Remarks on the notion of standard non-isomorphic natural number series -- Reflections on Bishop's philosophy of mathematics -- Formalizing constructive mathematics: Why and how? -- Independence of premisses and the free topos -- An intuitionistic infinitesimal calculus -- Liberal constructive set theory -- Locating metric complements in ?n -- A disjunctive decomposition theorem for classical theories -- Towards a constructive foundation for quantum mechanics -- About infinity, finiteness and finitization (in connection with the foundations of mathematics) -- A class of theorems with valid constructive counterparts -- Rational constructive analysis.
Record Nr. UNISA-996466490703316
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1981]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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