عنوان

The origin of the logic of symbolic mathematics :

0253005272

0253356717

9780253005274

9780253356710

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The origin of the logic of symbolic mathematics :

[Book]

Edmund Husserl and Jacob Klein /

Burt C. Hopkins

xxx, 559 pages,

24 cm

Studies in continental thought

Includes bibliographical references and indexes

Introduction: The Subject Matter, Thesis, and Structure of This Study. Part One: Klein on Husserl's Phenomenology and the History of Science. Chapter One: Klein's and Husserl's Investigations of the Originiation of Mathematical Physics -- Chapter Two: Klein's Account of the Essential Connection between Intentional and Actual History -- Chapter Three: The Liberation of the Problem of Origin from Its Naturalistic Distortion: The Phenomenological Problem of Constitution -- Chapter Four: The Essential Connection between Intentional and Actual History -- Chapter Five: The Historicity of the Intelligibility of Ideal Significations and the Possibility of Actual History -- Chapter Six: Sedimentation and the Link between Intentional History and the Constitution of Historical Tradition -- Chapter Seven: Klein's Departure from the Content but Not the Method of Husserl's Intentional-Historical Analysis of Modern Science

Part Four: Husserl and Klein on the Origination of the Logic and Symbolic Mathematics. Chapter Twenty-Four: Husserl and Klein on the Fundamental Difference between Symbolic and Non-symbolic Numbers -- Chapter Twenty-Five: Husserl and Klein on the Origin and Structure of Non-symbolic Numbers -- Chapter Twenty-Six: Structural Differences in Husserl's and Klein's Accounts of the Mode of Being of Non-Symbolic Numbers -- Chapter Twenty-Seven: Digression: The Development of Husserl's Though, after Philosophy of Arithmetic, on the "Logical" Status of the Symbolic Calculus, the Constitution of Collective Unity, and at the Phenomenological Foundation of the Mathesis Universalis -- Chapter Twenty-Eight: Husserl's Accounts of the Symbolic Calculus, the Critique of Psychologism, and the Phenomenological Foundation of the Mathesis Universalis after Philosophy of Arithmetic -- Chapter Twenty-Nine: Husserl's Critique of Symbolic Calculation in his Schroder Review -- Chapter Thirty: The Separation of Logic from Symbolic Calculation in Husserl's Later Works -- Chapter Thirty-One: Husserl on the Shortcomings of the Appeal to the "Reflexion" on Acts to Account for the Origin of Logical Relations in the Works Leading up to the Logical Investigations -- Chapter Thirty-Two: Husserl's Attempt in the Logical Investigations to Esstablish a Relationship between "Mere" Thought and the "In Itself" of Pure Logical Validity by Appealing to Concrete, Universal, and Formalizing Modes of Abstraction and Categorical Intuition. Chapter Thirty-Three: Husserl's Account of the Constitution of the Collection, Number, and the "Universal Whatever" in Experience and Judgement -- Chapter Thirty-Four: Husserl's Investigation of the Unitary Domain of Formal Logic and the Formal Ontology in Formal and Transcendental Logic --Chapter Thirty-Five: Klein and Husserl on the Origination of the Logic of Symbolic Numbers -- Chapter Thirty-Six: Conclusion. Glossary of Greek and German Terms. Bibliography. Index of Names. Index of Subjects

Part Three: Non-Symbolic and Symbolic Numbers in Husserl and Kleinches Chapter Thirteen: Authentic and Symbolic Numbers in Husserl's Philosophy of Arithmetic -- Chapter Fourteen: Klein's Desedimentation of the Origin of Algebra and Husserl's Failure to Ground Symbolic Calculation in Authentic Numbers -- Chapter Fifteen: Logistic and Arithmetic in Neoplatonic Mathematics and in Plato -- Chapter Sixteen: Theoretical Logistic and the Problem of Fractions -- Chapter Seventeen: The Concept of "Api0mog" -- Chapter Eighteen: Plato's Ontological Conception of "Api0moi" -- Chapter Nineteen: Klein's Reactivation of Plato's Theory of "Api0moi Eiontikoi" -- Chapter Twenty: Aristotle's Critique of the Platonic Chorismos Thesis and the Possibility of a Theoretical Logistic -- Chapter Twenty-One: Klein's Interpretation of Diophantus' Arithmetic. Chapter Twenty-Two: Klein's Account of Vieta's Reinterpretation of the Diophantine Procedure and the Consequent Establishment of Algebra as the General Analytical Art. Chapter Twenty-Three: Klein's Account of the Concept of Number and the Number Concepts in Stervin, Descartes, and Wallis

Part Two: Husserl and Klein on the Method and Task of Desedimenting the Mathematization of Nature. Chapter Eight: Klein's Historical-Mathematical Investigations in the Context of Husserl's Phenomenology of Science -- Chapter Nine: The Basic Problem and Method of Klein's Mathematical Investigations -- Chapter Ten: Husserl's Formulation of the Nature and Roots of the Crisis of European Sciences -- Chapter Eleven: The "Zigzag" Movement Implicit in Klein's Mathematical Investigations -- Chapter Twelve: Husserl and Klein on the Logic of Symbolic Mathematics

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Logic, Symbolic and mathematical

Mathematics-- Philosophy

Hopkins, Burt C

20110912060046.4

rda

[Book]

Y