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Quantification: Transcending Beyond Frege’s Boundaries. A Case Stude in Transcendental-Metaphysical Logic

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CONTENTS:   Preface   General Overview   The Transcendental Dialectic of Quantification   CHAPTER 1. The Favoured Distinction 1.1. Foundational Goals – Strategy and Tactics 1.2. Natural Language vs. “Formalised Language of Pure Thought” 1.3. Grammar vs. Language: The Quest for Basic Distinction 1.4. Extending Function Theory 1.5. The True Basis of Frege’s Logic: Function or Relation? 1.6. Frege’s New Way of Conferring Generality: Empty Placeholders in the Context of the Conditional 1.7. Schröder’s Objection Revisited 1.8. Frege’s Hidden Agenda 1.9. The Fregean Quantifier and the Philosophical Clarification of Generality: Frege’s Misjudgement and Heidegger’s Prophecy 1.10. GTS as Games with Tainted Strategies   CHAPTER 2. The Principle of Identity and its Instances 2.1. The Aboutness of Propositions 2.2. Frege, Euler, and Schröder’s Quaternio Terminorum 2.3. Ockham and Truth in Equation 2.4. Frege’s Improvement on Kant: Synthetic Statements as Kind of Analytic 2.5. The Burden of Proof   The Transcendental Analytic of Quantification   CHAPTER 3. Reference and Causality 3.1. ‘Hilfssprache’ vs. ‘Darlegungssprache 3.2. Frege’s Constant/Variable Distinction vs. Peirce’s Type/Token Distinction 3.3. The Generality of Reference and the Reference of Generality 3.4. Peirce’s Real Dyad and Causality 3.5. A Dual Perspective on Causality and Mind-Independence 3.6. Negation, Mind Independence, and the Tone/Token/Type Distinction   CHAPTER 4. Peirce’s Categories and the Transcendental Logic of Quantification 4.1. Degenerate Thirdness vs. Thirdness as Relationship 4.2. Vendler’s Query: ‘Each’ and ‘Every’, ‘Any’ and ‘All’ 4.3. Further Keys to Addressing Quantification: Non-Partitive vs. Partitive Use of Quantifiers 4.4. Earlier Proposals for Quantifiers 4.5. Jackendoff’s Query Revisited: The Purloined Pronoun 4.6. Jackendoff’s Query Revisited: The Hidden Identity   CHAPTER 5. Gödel’s Incompleteness Theorem and the Downfall of Rationalism: Vindication of Kant’s Synthetic A Priori 5.1. Chomsky’s Understanding Understanding and Gödel’s First Incompleteness Theorem 5.2. Gödel, Chomsky, and the Synthetic Base of Mathematics. Part I 5.3. Gödel, Chomsky, and the Synthetic Base of Mathematics. Part II 5.4. Are There Absolutely Unsolvable Problems? Gödel’s Dilemma 5.5. Gödel’s Dichotomy: The Third Alternative   Conclusion   References   Index of Names   Subject Index

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