Essay on the Principles of Logic
A Defense of Logical Monism
- 400 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Essay on the Principles of Logic
A Defense of Logical Monism
About this book
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 principles. Part I of Wolff's book identifies the formal language in which the most general principles of logic must be expressed. This language turns out to be a version of syllogistic language already used by Aristotle. The universal validity of logical principles, as well as the translatability of other logical languages into this language, are shown to depend only on the meanings of its logical vocabulary. Part II of the book answers the metalogical question concerning the deductive relation between general logic and special logical systems, which also have their own (less general) principles. This part identifies the rules according to which logical rules can be derived from principles. The main result of the book is that the highest principles of logic and metalogics are provided by the syllogistic, when properly understood.
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Table of contents
- Title Page
- Copyright
- Contents
- Introduction
- I Analytical Part: Analysis of Logical Languages
- II Synthetic Part: Construction of the Logical Calculus of Functions from the Elements of the Syllogistic
- Appendix 5 Modern Non-Syllogistic Systems of Modal Logic in Their Relationship to Modal Syllogistic
- 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 (Notation according to § 42)
- Index of Syllogistic Rules Used Directly in the Validity Proofs of Assertoric Syllogisms (in § 56) (Notation according to § 42, § 46, and § 51)
- 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) (Notation according to § 42, § 46, § 51, § 58, § 64, and § 70)
- Subject Index
- Name Index