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Principles and Proofs
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AcknowledgmentsAbbreviationsIntroduction3IThe Motivation for The Theory of Demonstration7IIThe Approach to the Principles21IIIThe Kinds of Principles36IVThe Subject Genus50VThe Subordinate Sciences64VIAxioms or Common Principles68VIIDefinitions, I: The Per Se80VIIIScientific Essences103IXDefinitions, II: Form and Content111XExistence Claims122XIAristotle's Principles and Greek Mathematics133XIIAristotle's Demonstrations and Euclid's Elements144XIIIThe Varieties of Demonstration, I: Universal Subject-Attribute Demonstrations164XIVThe Varieties of Demonstration, II: Application Arguments177XVThe Varieties of Demonstration, III: Demonstrations of Existence188XVIDemonstration of Essence: Another Form of Scientific Proof?198XVIIScientific Explanation209XVIIIOur Knowledge of the Principles235Notes273Bibliography309Index Locorum321General Index335

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