A New Approach to Logic in the Humanities

Chapter 1 The Foundations of Logic

What is Logic?

Semiotics: Language from Linkage

The Nature of Logic

Chapter 2 The Origins of Logic

The Discovery of Logical Necessity

The Classical Logic of Aristotle

Non-Aristotelian Classical Logic—The Stoics and the Megarans

Chapter 3 The Logic of Discovery

From Observation to Understanding

Speech Functions and the Uses of Language

Fallacies—Logical and Rhetorical Failures in Argumentation

Material Logics—The Logics of Discovery

Abduction and Adduction—The Logics of Causality

Causality—Aspects of Contiguity

Induction—The Logic of Material Analogy

Material Analogy—Aspects of Isomorphism

Chapter 4 The Logic of Corroboration

Modern Logic—The Origin and Development of Mathematical Logic

Proof Theory—Direct Proofs, Indirect Proofs, and Inconsistency

Higher Order Logics—Quantification and Predication

Chapter 5 Algebraic Structures

Mathematical Structures

Roaming the Fields of Mathematical Space