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Logic, Form and Function
Logic: form and content; Formulas: syntax and intuitive semantics; Boolean analysis of sentences; Infinitive finitary trees and boolean compactness; Semantic analysis of sentences and terms; Logical consequence: sequents and proofs; Logical equivalence: substitutivity and variants; Normal forms of sentences and sequents; Herbrand models and maps; Quad notation for clausal sequents; Unification; Resolution; Resolution on the computer; Historical notes; Appedix; Index.
Logical Form
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.
Logic, Form and Grammar
This work contains Peter Long's important essay, Logic, Form and Grammar, which resolves many difficulties for the logical form of an argument where the reasoning is hypothetical. Also included are two essays on classical problems in philosophical logic, relating to logical form and formal relations. All of the essays provide clear thinking and philosophical explanations, overturning many unchallenged suggestions in philosophical logic.
Logical Form
This study focuses on the relation of syntactic and semantic structure. It investigates the notion that within generative grammar there is a level of linguistic representation Logical Form. Its main assumption is that this is a level of phrase structure representation, derived by transformational operations from S-structure, and over which formal semantic interpretations are defined.The book explores Logical Form by focusing primarily on quantificational phenomena and on how their explicit syntactic representation interacts with various syntactic and semantic properties. Among the topics discussed are the interactions of wh and quantified phrases, bound variable anaphora, branching quantifie...
Logical Forms
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.
Clausal Form Logic
This unique book provides a gentle introduction to an increasingly important type of formal logic called CLAUSAL FORM LOGIC (CFL). Having evolved out of human reasoning, CFL represents the ideal to which all computer-based systems must approximate. Most present day computational logic systems are based on it, including the well-know artificial intelligence language PROLOG.
Language, Form, and Logic
This book takes an idea first explored by medieval logicians 800 years ago and revisits it armed with the tools of contemporary linguistics, logic, and computer science. The idea - the Holy Grail of the medieval logicians - was the thought that all of logic could be reduced to two very simple rules that are sensitive to logical polarity (for example, the presence and absence of negations). Ludlow and Živanović pursue this idea and show how it has profound consequences for our understanding of the nature of human inferential capacities. They also show its consequences for some of the deepest issues in contemporary linguistics, including the nature of quantification, puzzles about discourse ...
Logical Form and Language
Seventeen specially written essays by eminent philosophers and linguists appear for the first time in this anthology, all with the central theme of logical form - a fundamental issue in analytical philosophy and linguistic theory.
Hegel’s System of Logic
In the Lectures on the Proofs of the Existence of God, prepared just before his death, Hegel states that the question of proving God can receive its “scientific” treatment in the (Science of) Logic and nowhere else. He also states that Logic, at least his logical system, is the same as that of metaphysics. Here, everything finds its place in relation to everything else. This book presents a total system in the light of which everything, from physics to theology, finds its place and true presentation. It chiefly follows, in textual citation, the later, more concise version (as Part One of the Encyclopaedia of the Philosophical Sciences) of Hegel’s two presentations of this science. The ...
