The Development of Logic
Preface p. v I The Beginnings p. 1 II Aristotle's Organon p. 23 III The Megarians and the Stoics p. 113 IV Roman and Medieval Logic p. 177 V Logic after the Renaissance p. 298 VI Mathematical Abstraction p. 379 VII Numbers, Sets, and Series p. 435 VIII Frege's General Logic p. 478 IX Formal Developments after Frege p. 513 X The Philosophy of Logic after Frege p. 576 XI The Philosophy of Mathematics after Frege p. 652 XII The Theory of Deductive Systems p. 689 Appendix Translations: from the Latin Quotations in Chapter IV p. 743 Selective Bibliography p. 765 Index p. 775.
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Abelard according algebra antecedent applied argument Aristotle Aristotle's arithmetic assertion axioms Begriffsschrift belongs Boethius Bolzano calculus called Chrysippus concept conclusion conditional conditional statement connexion consequence consequentia consider context defined definition derived Diogenes Laertius disjunction distinction doctrine entails equivalent example existence existential expression fact false follows formal formula Frege function geometry homo Ibid identity inference interesting interpretation kind language later Leibniz letters logic logicians mathematicians mathematics means medieval ment modal modal logic natural numbers necessary negation notion Omnis ordinary paradoxes passage philosophers phrase Plato possible predicate premisses Principia Mathematica principle Prior Analytics proof proposition quantifiers quod real numbers reason reduction reference relation rules rules of inference seems sense sentence Sextus signified signs Socrates statement Stoics suggested supposed suppositio syllogism syllogistic symbolism talk Theophrastus theorem theory things thought tion true truth truth-functional truth-values universal valid variables verb William of Shyreswood word