# Aristotelian Logic

SUNY Press, Jan 1, 1991 - Philosophy - 545 pages
This book provides detailed treatment of topics in traditional logic: the theory of terms; the theory of definition; the informal fallacies; and division and classification.

Aristotelian Logic teaches techniques for solving semantic problems -- problems caused by confusion over terminology. It teaches the theory of definition -- the different kinds of definition and the criteria by which each is judged. It also teaches that definitions are like tools in that some are better suited for a particular task than others.

Several chapters are devoted to informal fallacies. A new classification is given for them, and the concept of proof is presented, without which some of the traditional informal fallacies cannot be explained adequately. Another chapter is devoted to division and classification, which occurs in all of the sciences.

Other topics covered include the square of opposition, immediate inferences, and the syllogistic and chain arguments.

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### Contents

 Arguments and Validity 3 Propositions 23 Logical Form and Counterexamples 37 Terms 51 Definition 79 Division and Classification 129 Basic Concepts of Aristotelian Logic 143 Standard Categorical Propositions 145
 The Standard Syllogism Definitions 265 A Deductive System of the Standard Syllogism 271 Rules of the Standard Syllogism 291 Chain Arguments Including Sorites 309 Reducing the Number of Terms in Arguments 319 Singular Propositions 329 Standardizing Categorical Propositions 339 The Enthymeme 359

 The Traditional Square of Opposition 155 Existential Presuppositions of Aristotelian Logic 179 Distribution of Terms in Categorical Propositions 189 Conversion 205 Immediate Inferences Not Needed for Standard Syllogism 213 Negative Terms 215 Obversion 227 Contraposition 233 Inversion and Partial Inversion 239 Tables of Immediate Inferences 245 Relations 249 Reversible and Nonreversible Inferences 261 Aristotelian Logic Mediated Inferences 263
 The Antilogism for NPair Arguments 367 The Hypothetical Syllogism 373 The Disjunctive Syllogism 383 The Dilemma 395 Informal Fallacies 407 Proof and Fallacies 409 Linguistic Fallacies 423 Contextual Fallacies 443 Illicit Appeals 463 Transition to Symbolic Logic 489 From Aristotelian to Symbolic Logic 491 Index 537 Copyright