First-Order Modal Logic [electronic resource] / by M. Fitting, Richard L. Mendelsohn.

Erişim Adresi
Link
ISBN
9789401152921
Dil Kodu
İngilizce
Yer Numarası
DK/12629
Yazar
Fitting, M. (orcid)0000-0003-0229-114X Link
Basım Bildirimi
1st ed. 1998.
Yayın Bilgisi
Dordrecht : Springer Netherlands : Imprint: Springer, 1998.
Fiziksel Niteleme
XII, 292 p. online resource.
Dizi
Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 2542-8292 ; 277
İçindekiler Notu
One/Propositional Modal Logic -- 1.1 What is a Modal? -- 1.2 Can There Be a Modal Logic? -- 1.3 What Are The Formulas? -- 1.4 Aristotle’s Modal Square -- 1.5 Informal Interpretations -- 1.6 What Are the Models? -- 1.7 Examples -- 1.8 Some Important Logics -- 1.9 Logical Consequence -- 1.10 Temporal Logic -- 1.11 Epistemic Logic -- 1.12 Historical Highlights -- Two/Tableau Proof Systems -- 2.1 What Is a Proof -- 2.2 Tableaus -- 2.3 More Tableau Systems -- 2.4 Logical Consequence and Tableaus -- 2.5 Tableaus Work -- Three/Axiom Systems -- 3.1 What Is an Axiomatic Proof -- 3.2 More Axiom Systems -- 3.3 Logical Consequence, Axiomatically -- 3.4 Axiom Systems Work Too -- Four/Quantified Modal Logic -- 4.1 First-Order Formulas -- 4.2 An Informal Introduction -- 4.3 Necessity De Re and De Dicto -- 4.4 Is Quantified Modal Logic Possible? -- 4.5 What the Quantifiers Quantify Over -- 4.6 Constant Domain Models -- 4.7 Varying Domain Models -- 4.8 Different Media, Same Message -- 4.9 Barcan and Converse Barcan Formulas -- Five/First-Order Tableaus -- 5.1 Constant Domain Tableaus -- 5.2 Varying Domain Tableaus -- 5.3 Tableaus Still Work -- Six/First-Order Axiom Systems -- 6.1 A Classical First-Order Axiom System -- 6.2 Varying Domain Modal Axiom Systems -- 6.3 Constant Domain Systems -- 6.4 Miscellany -- Seven/Equality -- 7.1 Classical Background -- 7.2 Frege’s Puzzle -- 7.3 The Indiscernibility of Identicals -- 7.4 The Formal Details -- 7.5 Tableau Equality Rules -- 7.6 Tableau Soundness and Completeness -- 7.7 An Example -- Eight/Existence and Actualist Quantification -- 8.1 To Be -- 8.2 Tableau Proofs -- 8.3 The Paradox of NonBeing -- 8.4 Deflationists -- 8.5 Parmenides’ Principle -- 8.6 Inflationists -- 8.7 Unactualized Possibles -- 8.8 Barcan and Converse Barcan, Again -- 8.9 Using Validities in Tableaus -- 8.10 On Symmetry.-Nine/Terms and Predicate Abstraction -- 9.1 Why constants should not be constant -- 9.2 Scope -- 9.3 Predicate Abstraction -- 9.4 Abstraction in the Concrete -- 9.5 Reading Predicate Abstracts -- Ten/Abstraction Continued -- 10.1 Equality -- 10.2 Rigidity -- 10.3 A Dynamic Logic Example -- 10.4 Rigid Designators -- 10.5 Existence -- 10.6 Tableau Rules, Varying Domain -- 10.7 Tableau Rules, Constant Domain -- Eleven/Designation -- 11.1 The Formal Machinery -- 11.2 Designation and Existence -- 11.3 Existence and Designation -- 11.4 Fiction -- 11.5 Tableau Rules -- Twelve/Definite Descriptions -- 12.1 Notation -- 12.2 Two Theories of Descriptions -- 12.3 The Semantics of Definite Descriptions -- 12.4 Some Examples -- 12.5 Hintikka’s Schema and Variations -- 12.6 Varying Domain Tableaus -- 12.7 Russell’s Approach -- 12.8 Possibilist Quantifiers -- References.
Özet, vb.
Fitting and Mendelsohn present a thorough treatment of first-order modal logic, together with some propositional background. They adopt throughout a threefold approach. Semantically, they use possible world models; the formal proof machinery is tableaus; and full philosophical discussions are provided of the way that technical developments bear on well-known philosophical problems. The book covers quantification itself, including the difference between actualist and possibilist quantifiers; equality, leading to a treatment of Frege's morning star/evening star puzzle; the notion of existence and the logical problems surrounding it; non-rigid constants and function symbols; predicate abstraction, which abstracts a predicate from a formula, in effect providing a scoping function for constants and function symbols, leading to a clarification of ambiguous readings at the heart of several philosophical problems; the distinction between nonexistence and nondesignation; and definite descriptions, borrowing from both Fregean and Russellian paradigms.
Konu
Logic.
Mathematical logic.
Computational linguistics.
Logic.
Mathematical Logic and Foundations.
Computational Linguistics.
Diğer Yazarlar
Mendelsohn, Richard L.
Kurum Adı
SpringerLink (Online service)
İşlemler