Essay on the Principles of Logic : : A Defense of Logical Monism / / Michael Wolff.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• VerfasserIn: Wolff, Michael,
• MitwirkendeR: Wolf, W. Clark,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Physical Description: 1 online resource (XXI, 396 p.)

Wolff's book defends the Kantian idea of a "general logic" whose principles underlie special systems of deductive logic. It thus undermines "logical pluralism," which tolerates the co-existence of divergent systems of modern logic without asking for consistent common princip...

Table of Contents

• Frontmatter
• Preface to the English Edition
• Contents
• Introduction
• I Analytical Part: Analysis of Logical Languages
• Section One The Language of the Syllogistic
• Section Two The Language of the Calculus of Classes
• Section Three The Language of the Logical Calculus of Functions
• II Synthetic Part: Construction of the Logical Calculus of Functions from the Elements of the Syllogistic
• § 41 General Preliminary Remark
• Section One Rules for Deriving Rules
• Section Two Hypothetical and Disjunctive Syllogistic
• Section Three Categorical Syllogistic
• Section Four Modal Syllogistic
• Section Five Contentful Syllogistic Inference
• Section Six Derivation of Formulas within the Framework of a System Extended Beyond the Limits of Elementary Deductive Logic
• Section Seven Provability and Derivability within the Logical Calculus of Functions
• Conclusion
• Appendix 1 On the Completeness of a Syllogistic without Logical Conjunction
• Appendix 2 Mathematical Induction without Higher-Level Predicate Logic
• Appendix 3 Reduction of Truth-Functional Expressions to Non-Truth-Functional Expressions
• Appendix 4 Compatibility and Incompatibility
• Appendix 5 Modern Non-Syllogistic Systems of Modal Logic in Their Relationship to Modal Syllogistic
• Appendix 6 Non-Classical Systems of Logic in Their Relationship to the Logical Calculus of Functions
• Appendix 7 The Barcan Formula
• Appendix 8 On Bivalence
• Appendix 9 Absolute Logical Constants
• Index of Symbols Used
• Outline of the Rules Used Mainly in the Proofs of Part II
• Index of Metalogical Rules Used in the Proofs of Part II
• Index of Syllogistic Rules Used Directly in the Validity Proofs of Assertoric Syllogisms (in § 56)
• Index of Modal-Syllogistic Rules Used Directly in the Validity Proofs of Modal Syllogisms (in § 63)
• Index of Logical Rules Used Directly for the Derivation of Truth-Functional Rules and Laws (in § 74 and § 75)
• Bibliography
• Subject Index
• Name Index