Carveth Read examines the science of logic, dividing his analysis into formal deductions and inductive methods. He opens by defining logic as the study of proof for qualitative propositions, distinguishing it from mathematics. The early chapters dissect propositions, terms, denotation, and connotation, establishing the rules of immediate inference such as opposition, conversion, and obversion.
Transitioning to mediate inference, the work analyzes the categorical syllogism. Read details the canons, figures, and moods of syllogistic reasoning, demonstrating how arguments are tested and reduced to primary forms. He also covers abbreviated arguments like the enthymeme and sorites, alongside conditional and disjunctive syllogisms.
The central inquiry shifts from formal consistency to material truth. Read argues that universal propositions cannot be proved through syllogisms alone without circularity, necessitating empirical investigation. This leads into the theory of induction, grounded in the uniformity of nature and causation.
Causation is defined through its distinct marks as the primary principle governing the succession of phenomena. Read details the inductive methods and canons of direct induction—agreement, difference, variations, and residues—showing how they detect causal connections.
The final sections address hypotheses, explanation, probability, and classification. Read explains the stringent criteria required to verify scientific hypotheses and explores the principles of division and definition. He concludes with a comprehensive classification of logical fallacies, warning against formal and material errors that undermine rational discourse.
