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The Metaphysics of Logic.
This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2014.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Title page; Copyright information; Dedication; Table of contents; Contributors; Introduction; Part I The Main Positions; Chapter 1 Logical realism; 1. The problem; 2. The potential of phenomenology; 3. Key aspects of phenomenology; 3.1 The Platonic nature of logic; 3.2 Inextricability; 4. Overflow; 5. McDowell; 6. Effectively defending ~R; Chapter 2 A defense of logical conventionalism; 1. Introduction; 2. Quine's dilemma; 3. Tacit conventions: Burge and Millikan. Suboptimality; 4. Empirical evidence for tacit conventions; 5. Three theories of logical capacity.
- 6. A case for the conventionality of logic7. Criticisms of the truth-preservation characterization of logic; 8. How Walker and Sider beg the question against logical conventionalism; Chapter 3 Pluralism, relativism, and objectivity; 1. Relativity to structure; 2. What is objectivity?; 3. Epistemic constraint; 4. Cognitive command; Chapter 4 Logic, mathematics, and conceptual structuralism; 1. The nature and role of logic in mathematics: three perspectives; 2. Conceptual structuralism; 3. Two basic structural conceptions; 4. Where and why classical first-order logic?
- 5. Where and why intuitionistic first-order logic?6. Semi-intuitionism: the logic of partially open-ended structures; 6.1 Semi-intuitionistic predicative theories; 6.2 Semi-intuitionistic theories of countable tree ordinals; 6.3 Semi-intuitionistic theories of sets; 7. Conceptual structuralism and mathematical practice; Acknowledgements; Chapter 5 A Second Philosophy of logic; Chapter 6 Logical nihilism; 1. Introduction; 2. The law of excluded middle; 3. Logic imposed and logic discovered; 4. Conclusion; Chapter 7 Wittgenstein and the covert Platonism of mathematical logic.
- Part II History and AuthorsChapter 8 Logic and its objects: a medieval Aristotelian view; 1. Aristotle; 2. Robert Kilwardby; 3. Later thinkers; 4. Concluding remarks; Chapter 9 The problem of universals and the subject matter of logic; 1. Introduction: the subject matter of logic and the problem of universals; 2. Realism, nominalism, conceptualism; 3. Scholastic ""conceptualisms""; 4. Conclusion: the lessons we can learn from the scholastics; Chapter 10 Logics and worlds; Chapter 11 Bolzano's logical realism; 1. Framework; 2. Bolzano's internal realism in logic.
- 3. Topic neutrality and implicit definition4. Bolzano's logic; 5. Conclusion; Part III Specific Issues; Chapter 12 Revising logic; 1. What's at issue; 2. Logica docens; 2.1 Can it be revised?; 2.2 Can it be revised rationally?; 2.3 Logic as theory; 2.4 What is the mechanism of rational revision?; 3. Logica utens; 3.1 What is this?; 3.2 Can it be revised?; 3.3 Can it be revised rationally?; 3.4 How is it revised rationally?; 4. Logica ens; 4.1 Can it be revised?; 4.2 Can meanings change?; 4.3 Can meanings change rationally?; 5. Conclusion; Chapter 13 Glutty theories and the logic of antinomies.