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Logic: The Basics [Kõva köide]

(University of Connecticut, USA),
  • Formaat: Hardback, 184 pages, kõrgus x laius: 198x129 mm, kaal: 314 g
  • Sari: The Basics
  • Ilmumisaeg: 19-Mar-2010
  • Kirjastus: Routledge
  • ISBN-10: 0415774985
  • ISBN-13: 9780415774987
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  • Formaat: Hardback, 184 pages, kõrgus x laius: 198x129 mm, kaal: 314 g
  • Sari: The Basics
  • Ilmumisaeg: 19-Mar-2010
  • Kirjastus: Routledge
  • ISBN-10: 0415774985
  • ISBN-13: 9780415774987
Teised raamatud teemal:
Logic: The Basics is a hands-on introduction to the philosophically alive field of logical inquiry. Covering both classical and non-classical theories, it presents some of the core notions of logic such as validity, basic connectives, identity, `free logic and more. This book:





















introduces some basic ideas of logic from a semantic and philosophical perspective













uses logical consequence as the focal concept throughout













considers some of the controversies and rival logics that make for such a lively field















This accessible guide includes chapter summaries and suggestions for further reading as well as exercises and sample answers throughout. It is an ideal introduction for those new to the study of logic as well as those seeking to gain the competence and skills needed to move to more advanced work in logic.

Arvustused

`This is an excellent introduction to logic: it is clear, careful, and concise. Every student of logic should find it helpful. What makes the book particularly valuable is the development of paracomplete and paraconsistent logics alongside classical logic. This distinctive approach will deepen students' appreciation and understanding of logic. David Efird, University of York, UK



`Beall provides a unique and refreshing introduction both to classical logic and to some of the interesting issues that motivate going beyond classical logic. This text contains one of the most accessible introductions to paracomplete and paraconsistent logics available. As such, it fills an important gap in the literature. James R. Beebe, University at Buffalo, USA



'This textbook is superb for a wide range of courses. I am immediately adopting it as the main text for introductory logic as the style is accessible and engaging while the content puts forward philosophical logic as the exciting and creative field that it is. I also have used it as a strongly recommended text for a graduate-level course in non-classical logic. The text is perfect background reading for those who have only had a basic course in logic. While other books simply rush through the formal aspects of non-classical systems, this book motivates them in ways that seem natural to those not already `in the know'.' - Aaron Cotnoir, NIP, University of Aberdeen



'A pluralist perspective right from the beginning makes Logic: The Basics a special contribution to the universe of introductory logic texts. Beall introduces in a remarkably clear and accessible style the bare bones of classical, paracomplete and paraconsistent logical theory within a common conceptual framework. The book and its exercises are also well suited to self-study for students with some basic knowledge of classical logic who want to learn about alternative logics.' - Georg Brun, ETH Zurich



'A wonderful introduction to classical and nonclassicallogics.My students and I appreciated the clarity, rigour, brevity, and breadth - truly a rare combination! Excellent for a one-semester course, or for individuals who have heard that contemporary logic is pluralistic, and want to know more.' - Tim Rogalsky, Canadian Mennonite University



'Beall has achieved a rare combination of lucidity and sophistication. This book is a marvelous introduction to philosophical logic that engages the issues without getting bogged down in formalities. Anyone looking to explore what lies beyond a first course in logic must read this book.' - Colin Caret, University of St Andrews

I BACKGROUND IDEAS
1 Consequences
3(9)
1.1 Relations of support
4(1)
1.2 Logical consequence: the basic recipe
5(1)
1.3 Valid arguments and truth
6(2)
1.4 Summary, looking ahead, and reading
8(4)
2 Language, Form, and Logical Theories
12(14)
2.1 Language
12(2)
2.2 Atoms, connectives, and molecules
14(2)
2.3 Connectives and form
16(1)
2.4 Validity and form
17(2)
2.5 Language and formal languages
19(2)
2.6 Logical theories: rivalry
21(5)
3 Set-theoretic Tools
26(17)
3.1 Sets
26(4)
3.2 Ordered sets: pairs and n-tuples
30(2)
3.3 Relations
32(2)
3.4 Functions
34(2)
3.5 Sets as tools
36(7)
II BASIC CONNECTIVES
4 Classical Theory
43(19)
4.1 Cases: complete and consistent
43(2)
4.2 Classical 'truth conditions'
45(2)
4.3 Basic classical consequence
47(2)
4.4 Motivation: precision
49(1)
4.5 Formal picture
50(4)
4.6 Defined connectives
54(1)
4.7 Some notable valid forms
55(2)
4.8 Summary and looking ahead
57(5)
5 A Paracomplete Theory
62(18)
5.1 Apparent unsettledness
62(3)
5.2 Cases: incomplete
65(1)
5.3 Paracomplete truth and falsity conditions
66(3)
5.4 Paracomplete consequence
69(3)
5.5 Formal picture
72(2)
5.6 Defined connectives
74(1)
5.7 Some notable forms
75(1)
5.8 Summary and looking ahead
76(4)
6 A Paraconsistent Theory
80(19)
6.1 Apparent overdeterminacy
80(2)
6.2 Cases: inconsistent
82(1)
6.3 Paraconsistent 'truth conditions'
83(3)
6.4 Paraconsistent consequence
86(1)
6.5 Formal picture
87(4)
6.6 Defined connectives
91(1)
6.7 Some notable forms
91(2)
6.8 Summary and looking ahead
93(6)
III INNARDS, IDENTITY, AND QUANTIFIERS
7 Atomic Innards
99(11)
7.1 Atomic innards: names and predicates
99(2)
7.2 Truth and falsity conditions for atomics
101(2)
7.3 Cases, domains, and interpretation functions
103(2)
7.4 Classical, paracomplete and paraconsistent
105(1)
7.5 A formal picture
105(2)
7.6 Summary and looking ahead
107(3)
8 Identity
110(10)
8.1 Logical expressions and logical form
110(1)
8.2 Validity involving identity
111(1)
8.3 Identity: informal sketch
112(1)
8.4 Truth conditions: informal sketch
113(2)
8.5 Formal picture
115(2)
8.6 Summary and looking ahead
117(3)
9 Everything and Something
120(13)
9.1 Validity involving quantifiers
120(2)
9.2 Quantifiers: an informal sketch
122(1)
9.3 Truth and falsity conditions
123(1)
9.4 A formal picture
124(3)
9.5 Paraconsistent, paracomplete, classical
127(1)
9.6 Summary and looking ahead
128(5)
IV FREEDOM, NECESSITY, AND BEYOND
10 Speaking Freely
133(10)
10.1 Speaking of non-existent 'things'
133(1)
10.2 Existential import
134(1)
10.3 Freeing our terms, expanding our domains
135(1)
10.4 Truth conditions: an informal sketch
135(2)
10.5 Formal picture
137(6)
11 Possibilities
143(18)
11.1 Possibility and necessity
143(1)
11.2 Towards truth and falsity conditions
144(5)
11.3 Cases and consequence
149(1)
11.4 Formal picture
150(4)
11.5 Remark on going beyond possibility
154(7)
12 Glimpsing Different Logical Roads
161(14)
12.1 Other conditionals
162(2)
12.2 Other negations
164(3)
12.3 Other alethic modalities: actuality
167(1)
12.4 Same connectives, different truth conditions
168(2)
12.5 Another road to difference: consequence
170(5)
A List of Common Abbreviations 175(1)
References 176(3)
Index 179
Jc Beall is Professor of Philosophy at the University of Connecticut, USA, where he is Director of the UConn Logic Group. His books include Possibilities and Paradox: An Introduction to Modal and Many-Valued Logic with Bas van Fraassen, Logical Pluralism with Greg Restall, and Spandrels of Truth.