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Dedication | |
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Acknowledgments | |
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Preface | |
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Introduction | |
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Note on the Translation | |
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Aquinas's Division of the Text of the Posterior Analytics | |
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Aquinas's Commentary on the Posterior Analytics | |
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Prooemium | |
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The Need for Demonstration | |
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Dependence of Learning on Pre-existent Knowledge | |
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The Pre-existent Knowledge Required for Demonstration | |
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How the Conclusion Is Foreknown | |
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The Definition of the Why-Demonstration | |
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Definition of the Why-Demonstration | |
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Immediate Principles: Axioms and Suppositions | |
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Principles Better Known than the Conclusion | |
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Immediate Principles Not Demonstrable | |
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Impossibility of Circular Demonstration | |
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The Premises of the Why-Demonstration | |
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Meaning of "Predicated of All" | |
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The Modes of Per Se | |
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The Commensurately Universal | |
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Errors regarding the Commensurately Universal | |
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Principles of Demonstration as Necessary | |
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Principles of Demonstration as Per Se | |
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Demonstrations Not from Extrinsic Principles | |
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Demonstrations and Definitions as Eternal | |
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Demonstrations Not from Common Principles | |
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Principles and Non-principles-Common and Proper Principles | |
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Distinctions among Common Principles | |
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Use of Common Principles | |
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Questions and Arguments Proper to Each Science | |
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Deceptions Proper to Each Science-Deceptions Not Found in the Sciences | |
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The Premises of the Fact-Demonstration | |
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Fact-Demonstrations from Effect to Cause | |
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Fact-Demonstrations from Remote Cause | |
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Fact-Demonstrations in the Subalternated Sciences | |
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The Form of the Demonstration | |
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Superiority of the First Figure-Immediate Negative Propositions | |
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Falsity and Ignorance in the Demonstrative Sciences | |
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False Syllogisms Opposed to True Immediate Negative Propositions | |
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False Syllogisms Opposed to True Immediate Affirmative Propositions | |
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False Syllogisms Opposed to True Mediate Propositions | |
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Sense Knowledge Required for Demonstration | |
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The Impossibility of Demonstrations Proceeding Infinitely | |
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Questions about Whether Demonstrations Come to an End | |
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Questions Reduced to the Question About Affirmative Demonstrations | |
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Presuppositions for the Logical Proof that Demonstrations Come to an End | |
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The Logical Proof that Demonstrations Come to an End | |
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The Analytic Proof that Demonstrations Come to an End | |
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Corollaries of the Proofs that Demonstrations Come to an End | |
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Comparison of Demonstrations | |
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Arguments for the Superiority of Particular Demonstrations | |
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Universal Demonstrations Superior to Particular Demonstrations | |
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Affirmative Demonstrations Superior to Negative Demonstrations | |
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Negative Demonstrations Superior to Demonstrations to the Impossible | |
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Comparison of Sciences to Each Other and to Other Forms of Knowledge | |
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Certitude of Sciences-Unity and Diversity of Sciences | |
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Science in Relation to Chance Events and to Sense Knowledge | |
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Principles Not the Same for All Sciences | |
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Science and Opinion-Quickness of Mind | |
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The Middle Term: Definition and Cause | |
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The Four Questions and Their Relation to the Middle Term | |
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Opposing Arguments on the Relation of Definition and What a Thing is to Demonstration | |
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Definition and Demonstration Not of the Same Thing | |
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Impossibility of Proving What a Thing Is by Convertible Terms | |
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Impossibility of Proving What a Thing Is by Divisions | |
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Impossibility of Proving What a Thing Is by Supposition | |
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Impossibility of Knowing What a Thing Is by Demonstration or by Definition | |
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How Definition and What a Thing is Are Related to Demonstration | |
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Showing What a Thing Is by Logical Syllogism and by Demonstration | |
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Different Kinds of Definition in Relation to Demonstration | |
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Demonstration and the Causes | |
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Demonstrations through the Four Causes | |
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Demonstrations When Cause and Effect Are Simultaneous or Not Simultaneous | |
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Continuity in Demonstrations from Non-simultaneous Causes | |
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Demonstrations for Circular Processes and for Things Which Come to Be for the Most Part | |
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Searching for Definitions | |
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Predicates Signifying What a Thing Is | |
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Seeking Definitions by the Method of Division | |
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Replies to Objections-Rules for the Method of Division | |
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Seeking Definitions by the Method of Similarities | |
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Searching for Causes | |
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Seeking the Cause of Common Characteristics | |
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How Cause and Effect Are Not Always Convertible | |
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How One Effect Can Have More than One Cause | |
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The First Principles | |
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How the First Principles Come to Be Known | |
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Translator's Commentary | |
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References | |
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Index | |