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The Origin of the Logic of Symbolic Mathematics : Edmund Husserl and Jacob Klein /
Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts-especially mathematical concepts and the process of mathematical...
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Bloomington, Ind. :
Indiana University Press,
2011.
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Hopkins, Burt C., |e author. | |
| 245 | 1 | 4 | |a The Origin of the Logic of Symbolic Mathematics : |b Edmund Husserl and Jacob Klein / |c Burt C. Hopkins. |
| 264 | 1 | |a Bloomington, Ind. : |b Indiana University Press, |c 2011. | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 2013 | |
| 264 | 4 | |c ©2011. | |
| 300 | |a 1 online resource (592 pages). | ||
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| 490 | 0 | |a Studies in continental thought | |
| 505 | 0 | |6 880-01 |a pt. 1. Klein on Husserl's phenomenology and the history of science -- pt. 2. Husserl and Klein on the method and task of desedimenting the mathematization of nature -- pt. 3. Non-symbolic and symbolic numbers in Husserl and Klein -- pt. 4. Husserl and Klein on the origination of the logic of symbolic mathematics. | |
| 520 | |a Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts-especially mathematical concepts and the process of mathematical abstraction that generates them-have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkin. | ||
| 546 | |a English. | ||
| 588 | |a Description based on print version record. | ||
| 650 | 7 | |a Matematik |x teori, filosofi. |2 sao | |
| 650 | 7 | |a Symbolisk logik. |2 sao | |
| 650 | 7 | |a Philosophie. |2 idszbz | |
| 650 | 7 | |a Mathematik. |2 idszbz | |
| 650 | 7 | |a Mathematische Logik. |2 idszbz | |
| 650 | 7 | |a Zahlentheorie |2 gnd | |
| 650 | 7 | |a Rezeption |2 gnd | |
| 650 | 7 | |a Mathematische Logik |2 gnd | |
| 650 | 7 | |a Logik |2 gnd | |
| 650 | 7 | |a Computeralgebra |2 gnd | |
| 650 | 7 | |a Mathematics |x Philosophy. |2 fast |0 (OCoLC)fst01012213 | |
| 650 | 7 | |a Logic, Symbolic and mathematical. |2 fast |0 (OCoLC)fst01002068 | |
| 650 | 7 | |a PHILOSOPHY |x Movements |x Phenomenology. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Logic. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 6 | |a Mathematiques |x Philosophie. | |
| 650 | 6 | |a Logique symbolique et mathematique. | |
| 650 | 0 | |a Mathematics |x Philosophy. | |
| 650 | 0 | |a Logic, Symbolic and mathematical. | |
| 600 | 1 | 7 | |a Klein, Jacob (Philosoph) |0 (DE-604)BV0087245 |2 swd |
| 600 | 1 | 7 | |a Klein, Jacob. |2 idszbz |
| 600 | 1 | 7 | |a Husserl, Edmund. |2 idszbz |
| 600 | 1 | 7 | |a Husserl, Edmund |d 1859-1938 |2 gnd |
| 651 | 7 | |a Griechenland |g Altertum |2 gnd | |
| 655 | 7 | |a Electronic books. |2 local | |
| 710 | 2 | |a Project Muse. |e distributor | |
| 830 | 0 | |a Book collections on Project MUSE. | |
| 880 | 0 | 0 | |6 505-01/(S |g Twenty-five |t Husserl and Klein on the Origin and Structure of Non-symbolic Numbers -- |g [ʹ] 126 |t Husserl's Appeal to Acts of Collective Combination to Account for the Unity of the Whole of Each Authentic Cardinal Number -- |g [ʹ] 127 |t Husserl's Appeal to Psychological Experience to Account for the Origin of the Categorial Unity Belonging to the Concept of Ànything' Characteristic of the Units Proper to Multiplicities and Cardinal Numbers -- |g [ʹ] 128 |t Decisive Contrast between Husserl's and Klein's Accounts of the Being of the Units in Non-symbolic Numbers -- |g [ʹ] 129 |t Klein on Plato's Account of the Purity of Mathematical À -- |g [ʹ] 130 |t Klein on Plato's Account of the "Being One" of Each Mathematical À as Different from the "Being One" of Mathematical "Monads" -- |g [ʹ] 131 |t Klein on Plato's Account of the Non-mathematical Unity Responsible for the "Being One" of the Whole Belonging to Each À -- |g [ʹ] 132 |t Klein on Plato's Account of the Solution Provided by À E to the Aporias Raised by À M -- |g [ʹ] 133 |t Klein on Aristoτle's Account of the Inseparable Mode of the Being of À from Sensible Beings -- |g [ʹ] 134 |t Klein on Aristotle's Account of the Abstracted Mode of Being of Mathematical Objects -- |g [ʹ] 135 |t Klein on Aristotle's Critique of the Platonic Solution to the Problem of the Unity of an À-Assemblage -- |g [ʹ] 136 |t Klein on Aristotle's Answer to the Question of the Unity Belonging to À -- |g [ʹ] 137 |t Klein on Aristotle's Account of the Origination of the Mov as Measure -- |g ch. Twenty-six |t Structural Differences in Husserl's and Klein's Accounts of the Mode of Being of Non-symbolic Numbers -- |g [ʹ] 138 |t Different Accounts of the Mode of Being of the "One" in Husserl, Plato, and Aristotle -- |g [ʹ] 139 |t Different Accounts of the "Being One" and Ordered Sequence Characteristic of the Wholes Composing Non-symbolic Numbers in Husserl, Plato, and Aristotle -- |g [ʹ] 140 |t Different Accounts of the Conditions Responsible for the Scope of the Intelligibility of Non-symbolic Numbers in Husserl, Plato, and Aristotle -- |g [ʹ] 141 |t Structural Differences between Husserl's and Klein's Accounts of the Mode of Being of Non-symbolic Numbers -- |g [ʹ] 142 |t Divergence in Husserl's and Klein's Accounts of Non-symbolic Numbers -- |g ch. Twenty-seven |t Digression: The Development of Husserl's Thought, after Philosophy of Arithmetic, on the "Logical" Status of the Symbolic Calculus, the Constitution of Collective Unity, and the Phenomenological Foundation of the Mathesis Universalis -- |g [ʹ] 143 |t Need to Revisit the "Standard View" of the Development of Husserl's Thought -- |g ch. Twenty-eight |t Husserl's Accounts of the Symbolic Calculus, the Critique of Psychologism, and the Phenomenological Foundation of the Mathesis Universalis after Philosophy of Arithmetic -- |g [ʹ] 144 |t Husserl's Account of the Symbolic Calculus after Philosophy of Arithmetic -- |g [ʹ] 145 |t Husserl's Critique of Philosophy of Arithmetic's Psychologism -- |g [ʹ] 146 |t Husserl's Account of the Phenomenological Foundation of the Mathesis Universalis -- |g ch. Twenty-nine |t Husserl's Critique of Symbolic Calculation in his Schroder Review. |
| 880 | 0 | 0 | |6 505-00/(S |g Contents note continued: |g [ʹ] 74 |t Koα among "Ov, Kvητ, and Στ, Composes the Relationship of Being and Non-being -- |g [ʹ] 75 |t Contrast between Aρθm Mαθ and Aρθm E -- |g [ʹ] 76 |t Foundational Function of Aρiθuos E -- |g [ʹ] 77 |t Order of Aρiθuos' E Provides the Foundation for Both the Sequence of Mathematical À and the Relation of Family Descent between Higher and Lower -- |g [ʹ] 78 |t Inability of the A, to "Count" the M Points to Its Limits and Simultaneously Presents the First A E -- |g [ʹ] 79 |t Θατερoν as the "Twofold in General" Allows for the Articulation of Being and Non-being -- |g [ʹ] 80 |t Recognizing "the Other" as the "Indeterminate Dyad" -- |g [ʹ] 81 |t "One Itself" as the Source of the Generation of "A E -- |g [ʹ] 82 |t Γενη À E Provide the Foundation of an Eidetic Logistic -- |g [ʹ] 83 |t Plato's Postulate of the Separation of All Noetic Formations Renders Incomprehensible the Ordinary Mode of Predication -- |g ch. Twenty |t Aristotle's Critique of the Platonic Chorismos Thesis and the Possibility of a Theoretical Logistic -- |g [ʹ] 84 |t Point of Departure and Overview of Aristotle's Critique -- |g [ʹ] 85 |t Aristode's Problematic: Harmonizing the Ontological Dependence of À with Their Pure Noetic Quality -- |g [ʹ] 86 |t Aristotle on the Abstractive Mode of Being of Mathematical Objects -- |g [ʹ] 87 |t Aristotle's Ontological Determination of the Non-generic Unity of À -- |g [ʹ] 88 |t Aristotle's Ontological Determination of the Unity of À as Common Measure -- |g [ʹ] 89 |t Aristotle's Ontological Determination of the Indivisibility and Exactness of "Pure" À -- |g [ʹ] 90 |t Influence of Aristotle's View of M on Theoretical Arithmetic -- |g [ʹ] 91 |t Aristotle's Ontological Conception of À Makes Possible Theoretical Logistic -- |g ch. Twenty-one |t Klein's Interpretation of Diophantus's Arithmetic -- |g [ʹ] 92 |t Access to Diophantus's Work Requires Reinterpreting It outside the Context of Mathematics' Self-interpretation since Vieta, Stevin, and Descartes -- |g [ʹ] 93 |t Diophantus's Arithmetic as Theoretical Logistic -- |g [ʹ] 94 |t Referent and Operative Mode of Being of Diophantus's Concept of À -- |g [ʹ] 95 |t Ultimate Determinacy of Diophantus's Concept of Unknown and Indeterminate À -- |g [ʹ] 96 |t Merely Instrumental, and Therefore Non-ontological and Non-symbolic, Status of the E-Concept in Diophantus's Calculations -- |g ch. Twenty-two |t Klein's Account of Vieta's Reinterpretation of the Diophantine Procedure and the Consequent Establishment of Algebra as the General Analytical Art -- |g [ʹ] 97 |t Significance of Vieta's Generalization of the E-Concept and Its Transformation into the Symbolic Concept of Species -- |g [ʹ] 98 |t Sedimentation of the Ancient Practical Distinction between S̀aying' and ̀Thinking' in the Symbolic Notation Inseparable from Vieta's Concept of Number -- |g [ʹ] 99 |t Decisive Difference between Vieta's Conception of a "General" Mathematical Discipline and the Ancient Idea of a K I -- |g [ʹ] 100 |t Occlusion of the Ancient Connection between the Theme of General Mathematics and the Foundational Concerns of the "Supreme" Science That Results from the Modern Understanding of Vieta's "Analytical Art" as Mathesis Universalis -- |g [ʹ] 101 |t Vieta's Ambiguous Relation to Ancient Greek Mathematics -- |g [ʹ] 102 |t Vieta's Comparison of Ancient Geometrical Analysis with the Diophantine Procedure -- |g [ʹ] 103 |t Vieta's Transformation of the Diophantine Procedure -- |g [ʹ] 104 |t Auxiliary Status of Vieta's Employment of the "General Analytic" -- |g [ʹ] 105 |t Influence of the General Theory of Proportions on Vieta's "Pure," "General" Algebra -- |g [ʹ] 106 |t Klein's Desedimentation of the Conceptual Presuppositions Belonging to Vieta's Interpretation of Diophantine Logistic -- |g ch. Twenty-three |t Klein's Account of the Concept of Number and the Number Concepts in Stevin, Descartes, and Wallis -- |g [ʹ] 107 |t Stevin's Idea of a "Wise Age" and His Project for Its Renewal -- |g [ʹ] 108 |t Stevin's Critique of the Traditional À-Concept -- |g [ʹ] 109 |t Stevin's Symbolic Understanding of Numerus -- |g [ʹ] 110 |t Stevin's Assimilation of Numbers to Geometrical Formations -- |g [ʹ] 111 |t Descartes's Postulation of a New Mode of "Abstraction" and a New Possibility of "Understanding" as Underlying Symbolic Calculation -- |g [ʹ] 112 |t Fundamental Cognitive Role Attributed by Descartes to the Imaginatio -- |g [ʹ] 113 |t Descartes on the Pure Intellect's Use of the Power of the Imagination to Reconcile the Mathematical Problem of Determinacy and Indeterminacy -- |g [ʹ] 114 |t Klein's Reactivation of the "Abstraction" in Descartes as "Symbolic Abstraction" -- |g [ʹ] 115 |t Klein's Use of the Scholastic Distinction between "First and Second Intentions" to Fix Conceptually the Status of Descartes's Symbolic Concepts -- |g [ʹ] 116 |t Descartes on the Non-metaphorical Reception by the Imagination of the Extension of Bodies as Bridging the Gap between Non-determinate and Determinate Magnitudes -- |g [ʹ] 117 |t Wallis's Completion of the Introduction of the New Number Concept -- |g [ʹ] 118 |t Wallis's Initial Account of the Unit Both as the Principle of Number and as Itself a Number -- |g [ʹ] 119 |t Wallis's Account of the Nought as Also the Principle of Number -- |g [ʹ] 120 |t Wallis's Emphasis on the Arithmetical Status of the Symbol or Species of the "General Analytic" -- |g [ʹ] 121 |t Homogeneity of Algebraic Numbers as Rooted for Wallis in the Unity of the Sign Character of Their Symbols -- |g [ʹ] 122 |t Wallis's Understanding of Algebraic Numbers as Symbolically Conceived Ratios -- |g pt. Four |t Husserl and Klein on the Origination of the Logic of Symbolic Mathematics -- |g ch. Twenty-four |t Husserl and Klein on the Fundamental Difference between Symbolic and Non-symbolic Numbers -- |g [ʹ] 123 |t Klein's Critical Appropriation of Husserl's Crisis Seen within the Context of the Results of Klein's Investigation of the Origin of Algebra -- |g [ʹ] 124 |t Husserl and Klein on the Difference between Non-symbolic and symbolic Numbers -- |g [ʹ] 125 |t Husserl on the Authentic Cardinal Number Concept and Klein on the Greek À-Concept -- |g ch. |
| 880 | 0 | 0 | |6 505-00/(S |t Sixteen |t Theoretical Logistic and the Problem of Fractions -- |g [ʹ] 58 |t Ambiguous Relationship between Logistic and Arithmetic in Neoplatonic Mathematics and in Plato -- |g [ʹ] 59 |t Obstacle Presented by Fractions to Plato's Demand for a Theoretical Logistic -- |g ch. Seventeen |t Concept of Aρiθuos -- |g [ʹ] 60 |t Connection between Neoplatonic Mathematics and Plato's Ontology -- |g [ʹ] 61 |t Counting as the Fundamental Phenomenon Determining the Meaning of Aρiθuos -- |g [ʹ] 62 |t "Pure" Aρiθuos -- |g [ʹ] 63 |t Why Greek Theoretical Arithmetic and Logistic Did Not Directly Study Aρiθuos -- |g ch. Eighteen |t Plato's Ontological Conception of Aρiθuos -- |g [ʹ] 64 |t Interdependence of Greek Mathematics and Greek Ontology -- |g [ʹ] 65 |t Pythagorean Context of Plato's Philosophy -- |g [ʹ] 66 |t Plato's Departure from Pythagorean Science: The Fundamental Role of Aρiθuos of Pure Monads -- |g [ʹ] 67 |t Δiavoia as the Soul's Initial Mode of Access to Noητ -- |g [ʹ] 68 |t Limits Inherent in the Dianoetic Mode of Access to Noητ -- |g ch. Nineteen |t Klein's Reactivation of Plato's Theory of Aρiθuos Eiητκo -- |g [ʹ] 69 |t Inability of Mathematical Thought to Account for the Mode of Being of Its Objects -- |g [ʹ] 70 |t Curious Kind of Koα Manifest in Aρiθuos -- |g [ʹ] 71 |t Koα Exemplified by Aρiθuos as the Key to Solving the Problem of Mθξε -- |g [ʹ] 72 |t Koα Exemplified by ̀'Aρiθuos Contains the Clue to the "Mixing" of Being and Non-being in the Image -- |g [ʹ] 73 |t Partial Clarification of the Aporia of Being and Non-being Holds the Key to the "Arithmetical" Structure of the Noητv's Mode of Being. |
| 880 | 0 | 0 | |6 505-00/(S |g Machine generated contents note: |g pt. One |t Klein on Husserl's Phenomenology and the History of Science -- |g ch. One |t Klein's and Husserl's Investigations of the Origination of Mathematical Physics -- |g [ʹ] 1 |t Problem of History in Husserl's Last Writings -- |g [ʹ] 2 |t Priority of Klein's Research on the Historical Origination of the Meaning of Mathematical Physics over Husserl's -- |g [ʹ] 3 |t Importance of Husserl's Last Writings for Understanding Klein's Nontraditional Investigations of the History and Philosophy of Science -- |g [ʹ] 4 |t Klein's Commentary on Husserl's Investigation of the History of the Origin of Modern Science -- |g [ʹ] 5 |t "Curious" Relation between Klein's Historical Investigation of Greek and Modern Mathematics and Husserl's Phenomenology -- |g ch. Two |t Klein's Account of the Essential Connection between Intentional and Actual History -- |g [ʹ] 6 |t Problem of Origin and History in Husserl's Phenomenology -- |g [ʹ] 7 |t Internal Motivation for Husserl's Seemingly Late Turn to History -- |g ch. Three |t Liberation of the Problem of Origin from Its Naturalistic Distortion: The Phenomenological Problem of Constitution -- |g [ʹ] 8 |t Psychologism and the Problem of History -- |g [ʹ] 9 |t Internal Temporality and the Problem of the Sedimented History of Significance -- |g ch. Four |t Essential Connection between Intentional and Actual History -- |g [ʹ] 10 |t Two Limits of the Investigation of the Temporal Genesis Proper to the Intrinsic Possibility of the Intentional Object -- |g [ʹ] 11 |t Transcendental Constitution of an Identical Object Exceeds the Sedimented Genesis of Its Temporal Form -- |g [ʹ] 12 |t Distinction between the Sedimented History of the Immediate Presence of an Intentional Object and the Sedimented History of Its Original Presentation -- |g ch. Five |t Historicity of the Intelligibility of Ideal Significations and the Possibility of Actual History -- |g [ʹ] 13 |t Problem of Ìaτρia underlying Husserl's Concept of Intentional History -- |g [ʹ] 14 |t Two Senses of Historicity and the Meaning of the Historical Apriori -- |g [ʹ] 15 |t Historicity as Distinct from Both Historicism and the History of the Ego -- |g ch. Six |t Sedimentation and the Link between Intentional History and the Constitution of a Historical Tradition -- |g [ʹ] 16 |t Maintaining the Integrity of Knowledge Requires Inquiry into Its Original Historical Discovery -- |g [ʹ] 17 |t Two Presuppositions Are Necessary to Account for the Historicity of the Discovery of the Ideal Objects of a Science Such as Geometry -- |g [ʹ] 18 |t Sedimentation and the Constitution of a Geometrical Tradition -- |g [ʹ] 19 |t Historical Apriori of Ideal Objects and Historical Facts -- |g [ʹ] 20 |t Historical Apriori Is Not a Concession to Historicism -- |g ch. Seven |t Klein's Departure from the Content but Not the Method of Husserl's Intentional-Historical Analysis of Modern Science -- |g [ʹ] 21 |t Contrast between Klein's Account of the Actual Development of Modern Science and Husserl's Intentional Account -- |g [ʹ] 22 |t Sedimentation and the Method of Symbolic Abstraction -- |g [ʹ] 23 |t Establishment of Modern Physics on the Foundation of a Radical Reinterpretation of Ancient Mathematics -- |g [ʹ] 24 |t Vieta's and Descartes's Inauguration of the Development of the Symbolic Science of Nature: Mathematical Physics -- |g [ʹ] 25 |t Open Questions in Kleins Account of the Actual Development of Modern Science -- |g pt. Two |t Husserl and Klein on the Method and Task of Desedimenting the Mathematization of Nature -- |g ch. Eight |t Klein's Historical-Mathematical Investigations in the Context of Husserl's Phenomenology of Science -- |g [ʹ] 26 |t Summary of Part One -- |g [ʹ] 27 |t Klein's Failure to Refer to Husserl in Greek Mathematical Thought and the Origin of Algebra -- |g [ʹ] 28 |t Critical Implications of Klein's Historical Research for Husserl's Phenomenology -- |g ch. Nine |t Basic Problem and Method of Klein's Mathematical Investigations -- |g [ʹ] 29 |t Klein's Account of the Limited Task of Recovering the Hidden Sources of Modern Symbolic Mathematics -- |g [ʹ] 30 |t Klein's Motivation for the Radical Investigation of the Origins of Mathematical Physics -- |g [ʹ] 31 |t Conceptual Battleground on Which the Scholastic and the New Science Fought -- |g ch. Ten |t Husserl's Formulation of the Nature and Roots of the Crisis of European Sciences -- |g [ʹ] 32 |t Klein's Uncanny Anticipation of Husserl's Treatment of the Historical Origins of Scientific Concepts in the Crisis -- |g [ʹ] 33 |t Historical Reference Back to Origins and the Crisis of Modern Science -- |g [ʹ] 34 |t Husserl's Reactivation of the Sedimented Origins of the Modern Spirit -- |g [ʹ] 35 |t Husserl's Fragmentary Analyses of the Sedimentation Responsible for the Formalized Meaning Formations of Modern Mathematics and Klein's Inquiry into Their Origin and Conceptual Structure -- |g ch. Eleven |t "Zigzag" Movement Implicit in Klein's Mathematical Investigations -- |g [ʹ] 36 |t Structure of Klein's Method of Historical Reflection in Greek Mathematical Thought and the Origin of Algebra -- |g ch. Twelve |t Husserl and Klein on the Logic of Symbolic Mathematics -- |g [ʹ] 37 |t Husserl's Systematic Attempt to Ground the Symbolic Concept of Number in the Concept of Anzahl -- |g [ʹ] 38 |t Klein on the Transformation of the Ancient Concept of Aρiθuos (Anzahl) into the Modern Concept of Symbolic Number -- |g [ʹ] 39 |t Transition to Part Three of This Study -- |g pt. Three |t Non-symbolic and Symbolic Numbers in Husserl and Klein -- |g ch. Thirteen |t Authentic and Symbolic Numbers in Husserl's Philosophy of Arithmetic -- |g [ʹ] 40 |t Shortcomings of Philosophy of Arithmetic and Our Basic Concern -- |g [ʹ] 41 |t Husserl on the Authentic Concepts of Multiplicity and Cardinal Number Concepts, and Inauthentic (Symbolic) Number Concepts -- |g [ʹ] 42 |t Basic Logical Problem in Philosophy of Arithmetic -- |g [ʹ] 43 |t Fundamental Shift in Husserl's Account of Calculational Technique -- |g [ʹ] 44 |t Husserl's Account of the Logical Requirements behind Both Calculational Technique and Symbolic Numbers -- |g [ʹ] 45 |t Husseris Psychological Account of the Logical Whole Proper to the Concept of Multiplicity and Authentic Cardinal Number Concepts -- |g [ʹ] 46 |t Husserl on the Psychological Basis for Symbolic Numbers and Logical Technique -- |g [ʹ] 47 |t Husserl on the Symbolic Presentation of Multitudes -- |g [ʹ] 48 |t Husserl on the Psychological Presentation of Symbolic Numbers -- |g [ʹ] 49 |t Husserl on the Symbolic Presentation of the Systematic Construction of New Number Concepts and Their Designation -- |g [ʹ] 50 |t Fundamental Shift in the Logic of Symbolic Numbers Brought about by the Independence of Signitively Symbolic Numbers -- |g [ʹ] 51 |t Unresolved Question of the Logical Foundation for Signitively Symbolic Numbers -- |g [ʹ] 52 |t Summary and Conclusion -- |g ch. Fourteen |t Klein's Desedimentation of the Origin of Algebra and Husserl's Failure to Ground Symbolic Calculation in Authentic Numbers -- |g [ʹ] 53 |t Implications of Kleins Desedimentation of the Origin of Algebra for Husserl's Analyses of the Concept Proper to Number in Philosophy of Arithmetic -- |g [ʹ] 54 |t Klein's Desedimentation of the Two Salient Features of the Foundations of Greek Mathematics -- |g ch. Fifteen |t Logistic and Arithmetic in Neoplatonic Mathematics and in Plato -- |g [ʹ] 55 |t Opposition between Logistic and Arithmetic in Neoplatonic Thought -- |g [ʹ] 56 |t Logistic and Arithmetic in Plato -- |g [ʹ] 57 |t Tensions and Issues Surrounding the Role of the Theory of Proportions in Nicomachus, Theon, and Domninus -- |g ch. |
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