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Quantification : a Case Study In Transcendental-Metaphysical Logic.

Author: Aleksy Molczanow
Publisher: Leiden : BRILL, 2012.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Drawing on the original conception of Kant's synthetic a priori and the relevant related developments in philosophy, this book presents a reconstruction of the intellectual history of the conception of quantity and offers an entirely novel transcendental-metaphysical account of quantification.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Molczanow, Aleksy.
Quantification: Transcending Beyond Frege's Boundaries.
Leiden : BRILL, ©2012
Named Person: Gottlob Frege; Immanuel Kant; Gottlob Frege; Immanuel Kant
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Aleksy Molczanow
ISBN: 9789004224179 9004224173
OCLC Number: 782879964
Description: 1 online resource (250 pages)
Contents: Volume Foreword; Preface; General Overview; The Transcendental Dialectic of Quantification; Chapter One 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 Misjudgment and Heidegger's Prophecy1.10. GTS as Games with Tainted Strategies; Chapter Two 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 Three Reference and Causality; 3.1. 'Hilfssprache' vs. 'Darlegungssprache' 3.2. Frege's Constant/Variable Distinction vs. Peirce's Type/Token Distinction3.3. 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 Four 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: The Analysis of Non-Partitive vs. Partitive Use of Quantifiers4.4. Earlier Proposals for Quantifiers; 4.5. Jackendoff 's Query Revisited: The Purloined Pronoun; 4.6. Jackendoff 's Query Revisited: The Hidden Identity; Chapter Five 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 II5.4. Are There Absolutely Unsolvable Problems? Gödel's Dilemma; 5.5. Gödel's Dichotomy: The Third Alternative; Conclusion; References; Index.

Abstract:

Drawing on the original conception of Kant's synthetic a priori and the relevant related developments in philosophy, this book presents a reconstruction of the intellectual history of the conception of quantity and offers an entirely novel transcendental-metaphysical account of quantification.

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