(Ebook) Frege and the Logic of Sense and Reference 1st Edition by Kevin C Klement ISBN 0415937906 9780415937900

(Ebook) Frege and the Logic of Sense and Reference 1st Edition by Kevin C Klement ISBN 0415937906 9780415937900

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ISBN 10: 0415937906 
ISBN 13: 9780415937900
Author: Kevin C Klement

This book aims to develop certain aspects of Gottlob Frege's theory of meaning, especially those relevant to intentional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege.

(Ebook) Frege and the Logic of Sense and Reference 1st Table of contents:

1. The Need for a Logical Calculus for the Theory of Sinn and Bedeutung
Introduction
Frege’s Project: Logicism and the Notion of Begriffsschrift
The Theory of Sinn and Bedeutung
The Limitations of the Begriffsschrift
Filling the Gap
2. The Logic of the Grundgesetze
Logical Language and the Content of Logic
Functionality and Predication
Quantifiers and Gothic Letters
Roman Letters: An Alternative Notation for Generality
Value-Ranges and Extensions of Concepts
The Syntactic Rules of the Begriffsschrift
The Axiomatization of Frege’s System
Responses to the Paradox
3. Sinne and Gedanken
The Nature of Sinne Generally
The Sinne of Incomplete Expressions and the Composition of Gedanken
Context Principle, Priority Thesis, and Multiple Analyses: Challenges to Compositionality
The Identity Conditions of Sinne and Gedanken
4. Church’s Logic of Sense and Denotation
Overview
The Method of Transparent Intensional Logic
Alternatives (0), (1) and (2) and Synonymous Isomorphism
The Formulation of the Systems
Problems in Church’s Logic of Sense and Denotation
The UnFregean Elements of Church’s Logic of Sense and Denotation
5. A Logical Calculus for the Theory of Sinn and Bedeutung
Basic Features
Names and Variables for Sinne
The New Constants of the Expanded Language
Syntactic Rules of the Expanded Language
Axioms and Inference Rules of the Expanded Calculi
Inferences Involving Propositional Attitudes and Quantifying In
Difficulties with the Expanded Calculi
6. Comparison with Russell and Other Thinkers
“Solatium miseris, socios habuisse malorum.”
Russell’s Ontology of Propositions
Russell and the Principles of Mathematics Appendix B Paradox
Frege and the Principles of Mathematics Appendix B Paradox
Lessons Learned from Russell
Other Systems of Intensional Logic
7. Possible Revisions to Frege’s Philosophy
Adequate versus Ad Hoc Solutions
A Cantorian Analysis of the Difficulties
Dropping Classes and/or Concepts
Reducing the Number of Sinne and Gedanken
Ramification as a Solution to the Paradoxes
The Justification of Ramification

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Tags: Kevin C Klement, Frege, Logic