Logical Form

Logical Form
Title Logical Form PDF eBook
Author Andrea Iacona
Publisher Springer
Pages 139
Release 2018-01-28
Genre Philosophy
ISBN 3319741543

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Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as a correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfill two major theoretical roles that pertain respectively to logic and to semantics. This thesis has a negative and a positive side. The negative side is that a deeply rooted presumption about logical form turns out to be overly optimistic: there is no unique notion of logical form that can play both roles. The positive side is that the distinction between two notions of logical form, once properly spelled out, sheds light on some fundamental issues concerning the relation between logic and language.

Varieties of Logical Form

Varieties of Logical Form
Title Varieties of Logical Form PDF eBook
Author Carlota S. Smith
Publisher
Pages 155
Release 1983
Genre
ISBN

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Logical Forms

Logical Forms
Title Logical Forms PDF eBook
Author Richard Mark Sainsbury
Publisher Wiley-Blackwell
Pages 398
Release 1991
Genre Philosophy
ISBN 9780631177784

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Logical Forms examines the formal languages of classical first order logic and modal logic, and some alternatives and in each case takes as the central question: how can natural language best be formalized in this formal language? The approach involves close encounters with issues in the philosophy of logic and the philosophy of logic and the philosophy of language.

Directionality and Logical Form

Directionality and Logical Form
Title Directionality and Logical Form PDF eBook
Author Josef Bayer
Publisher Springer Science & Business Media
Pages 356
Release 1996
Genre Foreign Language Study
ISBN 9780792337522

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Directionality and Logical Form provides a detailed treatment of the syntax of focusing particles, such as only and even in a cross-linguistic perspective. The derivation of logical forms is shown to be under the control, not only of the ECP and subjacency, but also of directionality of government and the particular word-order parameter that holds in a given language: head-final languages systematically disallow certain derivations or readings that are available in head-initial languages. The reason is that heads that deviate in their selection properties from canonical head-finality project a directionality barrier. Various strategies are explored by which this barrier can be circumvented. Although the theory is developed mainly on the basis of the head position in German, it can be directly used to explain constraints on the scope of Wh-in-situ in Bengali and closely related languages. Audience: Syntacticians and semanticists interested in parametric variation, as well as linguists working on Germanic and/or Indo-Aryan languages.

Varieties of Logic

Varieties of Logic
Title Varieties of Logic PDF eBook
Author Stewart Shapiro
Publisher
Pages 235
Release 2014
Genre Logic
ISBN 0199696527

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Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. In Varieties of Logic, Stewart Shapiro develops several ways in which one can be a pluralist or relativist about logic. One of these is an extended argument that words and phrases like "valid" and "logical consequence" are polysemous or, perhaps better, are cluster concepts. The notions can be sharpened in various ways. This explains away the "debates" in the literature between inferentialists and advocates of a truth-conditional, model-theoretic approach, and between those who advocate higher-order logic and those who insist that logic is first-order. A significant kind of pluralism flows from an orientation toward mathematics that emerged toward the end of the nineteenth century, and continues to dominate the field today. The theme is that consistency is the only legitimate criterion for a theory. Logical pluralism arises when one considers a number of interesting and important mathematical theories that invoke a non-classical logic, and are rendered inconsistent, and trivial, if classical logic is imposed. So validity is relative to a theory or structure. The perspective raises a host of important questions about meaning. The most significant of these concern the semantic content of logical terminology, words like 'or', 'not', and 'for all', as they occur in rigorous mathematical deduction. Does the intuitionistic 'not', for example, have the same meaning as its classical counterpart? Shapiro examines the major arguments on the issue, on both sides, and finds them all wanting. He then articulates and defends a thesis that the question of meaning-shift is itself context-sensitive and, indeed, interest-relative. He relates the issue to some prominent considerations concerning open texture, vagueness, and verbal disputes. Logic is ubiquitous. Whenever there is deductive reasoning, there is logic. So there are questions about logical pluralism that are analogous to standard questions about global relativism. The most pressing of these concerns foundational studies, wherein one compares theories, sometimes with different logics, and where one figures out what follows from what in a given logic. Shapiro shows that the issues are not problematic, and that is usually easy to keep track of the logic being used and the one mentioned.

Logical Form in Natural Language

Logical Form in Natural Language
Title Logical Form in Natural Language PDF eBook
Author William G. Lycan
Publisher MIT Press (MA)
Pages 368
Release 1984
Genre Language and languages
ISBN

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Logical Form in Natural Language clearly explains and defends the truth-theoretic method in semantics first developed by Donald Davidson to analyze logical forms of sentences of natural language.

Logical Form and Language

Logical Form and Language
Title Logical Form and Language PDF eBook
Author Gerhard Preyer
Publisher Oxford University Press
Pages 534
Release 2002
Genre Language Arts & Disciplines
ISBN 9780199245550

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One of the central issues of analytic philosophy and especially the theory of language is the concept of logical form. As typically understood this concept covers investigations into universal logical features underlying languages. However, from Frege and Russell onwards logical form analysts were no longer confined to such narrow linguistic perspectives. For them, investigating the logical form of language took the wider philosophical perspective of trying to understand language as our principal means for representing the world. From Russell's theory of definite descriptions to Davidson's truth-theoretical analyses of adverbial modification, citation, and reported speech, to lay open the logical structures underlying language is seen as a way of revealing the structure and features of the thereby represented world. Seventeen specially written essays by eminent philosophers and linguists appear for the first time in this anthology. Logical Form and Language brings together exciting new contributions from diverse points of view, which illuminate the lively current debate about this topic.