## On Aristotle's "Prior Analytics", Volume 2The commentary of Alexander of Aphrodisias on Aristotle's Prior Analytics 1.8-22 is the main ancient commentary, by the 'greatest' commentator, on the chapters of the Prior Analytics in which Aristotle invented modal logic - the logic of propositions about what is necessary or contingent (possible). In this volume, which covers chapters 1.8-13, Alexander of Aphrodisias reaches the chapter in which Aristotle discusses the notion of contingency. Also included in this volume is Alexander's commentary on that part of Prior Analytics 1.17 which explains the conversion of contingent propositions. (The rest of 1.17 is included in the second volume of Mueller's translation, which covers chapters 1.14-22.). In each volume, Ian Mueller provides a comprehensive explanation of Alexander's commentary on modal logic as a whole. |

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### Contents

Modal syllogistic without contingency | 9 |

Modal syllogistic with contingent propositions | 19 |

Theophrastus and modal logic | 52 |

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accepts affirmative contingent Alexander Alexander's animal antecedent Appendix argument Aristotle Aristotle's asserts assumed Barbara Celarent chapter citation clear combination complete CON(BaC CON(White conclusion conditional consequent contingent negative contingent premiss contingent proposition contradicting convert Darii derivation difference discussion equivalent establish evident example fact false Ferio figure first-figure follows gives holds by necessity horse human hypothesized imply impossible indicates inferred interpretation justification kind lemma major premiss means mentioned minor mixture modal moving namely NEC(AaB NEC(AIC necessary negative premiss non-syllogistic opposite particular particular affirmative particular negative passage perhaps posited possible predicated privative proof proposition proved reason reductio ad impossibile reduction reference rejects remark result Ross rules says second figure seems sense setting shown similarly specified suggests syllogism syllogistic taken takes things third figure tion transformed true understand universal affirmative universal negative unqualified unqualified premiss walking yield