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Mathematical Logic - Wilfrid Hodges#Ian Chiswell
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2007, ISBN: 9780199215621

ID: 13346909

Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can´t be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent. The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich´s theorem characterising the computably enumerable relations. Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved. Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch. Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches. Two basic themes in recent cognitive science studies of actual human reasoning are also introduced. Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science. Mathematical Logic Bücher > Fremdsprachige Bücher > Englische Bücher Taschenbuch 17.05.2007 Buch (fremdspr.), Oxford University Press, .200

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Mathematical Logic - Wilfrid Hodges#Ian Chiswell
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Wilfrid Hodges#Ian Chiswell:
Mathematical Logic - neues Buch

ISBN: 9780199215621

ID: 36043e2f1944ee9509f756ce40f45300

Mathematical Logic Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent. The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich's theorem characterising the computably enumerable relations. Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved. Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch. Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches. Two basic themes in recent cognitive science studies of actual human reasoning are also introduced. Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-19-921562-1, Oxford University Press

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Mathematical Logic - Wilfrid Hodges#Ian Chiswell
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Wilfrid Hodges#Ian Chiswell:
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ISBN: 9780199215621

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Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can´t be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent. The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich´s theorem characterising the computably enumerable relations. Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved. Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch. Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches. Two basic themes in recent cognitive science studies of actual human reasoning are also introduced. Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science. Mathematical Logic Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Oxford University Press

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Mathematical Logic (Oxford Texts in Logic) - Ian Chiswell, Wilfrid Hodges
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2007, ISBN: 0199215626

[SR: 348075], Paperback, [EAN: 9780199215621], Oxford University Press, USA, Oxford University Press, USA, Book, [PU: Oxford University Press, USA], 2007-07-12, Oxford University Press, USA, 278366, Mathematical Logic, 278363, Mathematical Foundations, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570964, Mathematical Theory, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 4119271, Academic Philosophy, 60, Society, Politics & Philosophy, 1025612, Subjects, 266239, Books

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Mathematical Logic (Oxford Texts in Logic) - Ian Chiswell, Wilfrid Hodges
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Ian Chiswell, Wilfrid Hodges:
Mathematical Logic (Oxford Texts in Logic) - Taschenbuch

2007, ISBN: 0199215626

[SR: 348075], Paperback, [EAN: 9780199215621], Oxford University Press, USA, Oxford University Press, USA, Book, [PU: Oxford University Press, USA], 2007-07-12, Oxford University Press, USA, 278366, Mathematical Logic, 278363, Mathematical Foundations, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570964, Mathematical Theory, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 4119271, Academic Philosophy, 60, Society, Politics & Philosophy, 1025612, Subjects, 266239, Books

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Details zum Buch
Mathematical Logic
Autor:

Hodges, Wilfrid; Chiswell, Ian

Titel:

Mathematical Logic

ISBN-Nummer:

Covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. This book also includes notes on historical aspects of the material, and connections with linguistics and computer science.

Detailangaben zum Buch - Mathematical Logic


EAN (ISBN-13): 9780199215621
ISBN (ISBN-10): 0199215626
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: OXFORD UNIV PR
296 Seiten
Gewicht: 0,508 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 02.06.2007 16:06:51
Buch zuletzt gefunden am 14.04.2017 01:26:54
ISBN/EAN: 9780199215621

ISBN - alternative Schreibweisen:
0-19-921562-6, 978-0-19-921562-1


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