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The Limits of Logic: Higher-Order Logic and the Löwenheim-Skolem Theorem de Stewart Shapiro

The Limits of Logic: Higher-Order Logic and the Löwenheim-Skolem Theorem: The International Research Library of Philosophy

Editat de Stewart Shapiro
en Limba Engleză Hardback – 31 oct 1996
The International research Library of Philosophy collects in book form a wide range of important and influential essays in philosophy, drawn predominantly from English-language journals. Each volume in the library deals with a field of enquiry which has received significant attention in philosophy in the last 25 years and is edited by a philosopher noted in that field.
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Specificații

ISBN-13: 9781855217317
ISBN-10: 1855217317
Pagini: 552
Dimensiuni: 169 x 244 mm
Greutate: 1.84 kg
Ediția:1
Editura: Taylor & Francis
Colecția Routledge
Seria The International Research Library of Philosophy

Locul publicării:Oxford, United Kingdom

Cuprins

Contents: Is Second-Order Logic Logic?: Beyond first-order logic: the historical interplay between mathematical logic and axiomatic set theory, Gregory H. Moore; Which logic is the right logic?, Leslie H. Tharp; On second-order logic, George S. Boolos; Second-order languages and mathematical practice, Stewart Shapiro; What are logical notions?, Alfred Tarski; A curious inference, George Boolos; The rationalist conception of logic, Steven J. Wagner; A critical appraisal of second-order logic, Ignacio Jané; Who's afraid of higher-order logic?, Peter Simons. Ontological Reduction, Intended Interpretations and the Löwenheim-Skolem Theorems: Ontological reduction, Leslie H. Tharp; Intended models and the Löwenheim-Skolem theorem, Virginia Klenk; Categoricity, John Corcoran; Skolem's paradox and constructivism, Charles McCarty and Neil Tennant; Second-order logic, foundations and rules, Stewart Shapiro. Plural Quantification: To be is to be a value of a variable (or to be some values of some variables), George Boolos; Nominalist Platonism, George Boolos; Second-order logic still wild, Michael D. Resnick. Philosophy of Set Theory: Kreisel, the continuum hypothesis, and second-order set theory, Thomas Weston; Skolem and the Löwenheim-Skolem theorem: a case study of the philosophical significance of mathematical results, Alexander George; Skolem and the skeptic, Paul Benacerraf; Skolem and the skeptic, Crispin Wright; Predication versus membership in the distinction between logic as language and logic as calculus, Nino B. Cocchiarella; Logicism, the continuum and anti-realism, Peter Clark; Name index.

Recenzii

’Almost every significant paper on second-order logic and the philosophical importance of the Löwenheim-Skolem theorems is here in this collection...a useful addition to the library of anyone interested in the nature of logic in general and in the function of second-order methods in particular.’ Studia Logica

Descriere

The International research Library of Philosophy collects in book form a wide range of important and influential essays in philosophy, drawn predominantly from English-language journals.