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Quantifiers vs. Quantification Theory

Dialectica 27 (3‐4):329-358 (1973)

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  1. The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
    Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...)
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  • Philosophy of logic.Willard Van Orman Quine - 1986 - Cambridge: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
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  • Semantics of natural language.Donald Davidson & Gilbert Harman - 1970 - Synthese 22 (1-2):1-2.
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  • Mathematical logic.Willard Van Orman Quine - 1951 - Cambridge,: Harvard University Press.
    INTRODUCTION MATHEMATICAL logic differs from the traditional formal logic so markedly in method, and so far surpasses it in power and subtlety, ...
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  • Word and Object.Willard Van Orman Quine - 1960 - Cambridge, MA, USA: MIT Press.
    In the course of the discussion, Professor Quine pinpoints the difficulties involved in translation, brings to light the anomalies and conflicts implicit in our ...
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  • Thirty years of foundational studies.Andrzej Mostowski - 1966 - New York,: Barnes & Noble.
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  • Semantic interpretation in generative grammar.Ray Jackendoff - 1972 - Cambridge, Mass.,: MIT Press.
    A study of the contribution semantics makes to the syntactic patterns of English: an intepretive theory of grammar.
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  • The Blue and Brown Books: Preliminary Studies for the 'Philosophical Investigations'.Ludwig Wittgenstein - 1958 - Oxford, England: Harper & Row. Edited by Rhush Rhees.
    These works, as the sub-title makes clear, are unfinished sketches for Philosophical Investigations, possibly the most important and influential philosophical work of modern times. The 'Blue Book' is a set of notes dictated to Witgenstein's Cambridge students in 1933-1934: the 'Brown Book' was a draft for what eventually became the growth of the first part of Philosophical Investigations. This book reveals the germination and growth of the ideas which found their final expression in Witgenstein's later work. It is indispensable therefore (...)
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  • Finite partially-ordered quantification.Wilbur John Walkoe Jr - 1970 - Journal of Symbolic Logic 35 (4):535-555.
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  • Introduction to Mathematical Linguistics.Robert Wall - 1974 - Journal of Symbolic Logic 39 (3):615-616.
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  • Ontological relativity and other essays.Willard Van Orman Quine (ed.) - 1969 - New York: Columbia University Press.
    This volume consists of the first of the John Dewey Lectures delivered under the auspices of Columbia University's Philosophy Department as well as other essays by the author. Intended to clarify the meaning of the philosophical doctrines propounded by Professor Quine in 'Word and Objects', the essays included herein both support and expand those doctrines.
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  • Completeness in the theory of types.Leon Henkin - 1950 - Journal of Symbolic Logic 15 (2):81-91.
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  • Finite Partially‐Ordered Quantifiers.Herbert B. Enderton - 1970 - Mathematical Logic Quarterly 16 (8):393-397.
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  • Infinistic Methods.L. Henkin - 1961 - Pergamon Press.
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  • Semantic theory.Jerrold J. Katz - 1972 - New York,: Harper & Row.
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  • Quantifiers in English.Ray S. Jackendoff - 1968 - Foundations of Language 4 (4):422-442.
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  • Negation, Conjunction, and Quantifiers: Syntax vs. Semantics.Barbara Hall Partee - 1970 - Foundations of Language 6 (2):153-165.
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