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- catalog contributor b5976731.
- catalog created "[1954]".
- catalog date "1954".
- catalog date "[1954]".
- catalog dateCopyrighted "[1954]".
- catalog description "Bibliographical references included in "Notes" (p. 273-298)".
- catalog description "Chapter III: Geometric metaphor -- Verbal Matrices: Introductory remarks -- I. Construction of a Matrix -- Images of harmony and cycle: The Republic -- II. Mathematical imagery in the Republic; the state and the musical scale -- III. The cycle of social progress -- IV. The divided line -- V. Mathematics in higher education -- VI. The nuptial number -- a. Introductory remarks -- b. Problems of translation and paraphrase -- c. The philosophy of history -- d. The rulers' problem -- e. Why the muses speak playfully -- f. Detailed interpretation -- g. Interpretation established from text of the passage alone -- h. Historical comments: Other interpretations -- VII. The tyrant's number -- VIII. The myth of Ex-astronomy -- a. The unity of Republic x -- b. The allegorical intention of the myth -- c. Detailed interpretation -- d. Text of the passage: Theon's version -- IX. The myth of Ex-Transmigration -- Chapter IV. Algebraic metaphor -- I. Construction of the world-soul -- ".
- catalog description "II. The theory of vision -- III. The theory of geometrical elements -- Chapter V. Mathematical jokes: The limits of mathematical metaphor -- Appendix A. Effect of context on three Platonic images of cycle -- Appendix B. Symbolism: The significance of the specific figures chosen as illustrations from pure mathematics.".
- catalog description "Introduction: Plato's "Mathematical" passages -- Types of mathematical metaphor -- Orientation and limits of the present study -- Final comment on tactics -- Part One: Mathematical images relatively independent of their dialectical contexts -- Chapter I. Examples from pure mathematics of methods and class relations -- Introductory comment: Some simple illustrations -- I. Definition of odd and even number -- II. Proof of the recollection theory of knowledge -- III. The geometer's method of hypothesis -- IV. Definition of roots and surds -- Part Two: Mathematical images closely dependent on their dialectical contexts -- Chapter II. "Social Statistics": Arithmetic detail -- I. Atlantis and its institutions -- II. The social institutions of the Laws -- a. Mathematics and the law -- b. Administrative logistic -- c. Mathematics in education for citizenship -- d. Statutory mathematics: Fines and sumptuary laws -- III. Arithmetic details in myth and chronology -- ".
- catalog extent "xviii, 302 p.".
- catalog issued "1954".
- catalog issued "[1954]".
- catalog language "eng".
- catalog publisher "Bloomington, Indiana University Press".
- catalog subject "184.1".
- catalog subject "B398.M3 B68".
- catalog subject "Mathematics, Greek.".
- catalog subject "Plato.".
- catalog tableOfContents "Chapter III: Geometric metaphor -- Verbal Matrices: Introductory remarks -- I. Construction of a Matrix -- Images of harmony and cycle: The Republic -- II. Mathematical imagery in the Republic; the state and the musical scale -- III. The cycle of social progress -- IV. The divided line -- V. Mathematics in higher education -- VI. The nuptial number -- a. Introductory remarks -- b. Problems of translation and paraphrase -- c. The philosophy of history -- d. The rulers' problem -- e. Why the muses speak playfully -- f. Detailed interpretation -- g. Interpretation established from text of the passage alone -- h. Historical comments: Other interpretations -- VII. The tyrant's number -- VIII. The myth of Ex-astronomy -- a. The unity of Republic x -- b. The allegorical intention of the myth -- c. Detailed interpretation -- d. Text of the passage: Theon's version -- IX. The myth of Ex-Transmigration -- Chapter IV. Algebraic metaphor -- I. Construction of the world-soul -- ".
- catalog tableOfContents "II. The theory of vision -- III. The theory of geometrical elements -- Chapter V. Mathematical jokes: The limits of mathematical metaphor -- Appendix A. Effect of context on three Platonic images of cycle -- Appendix B. Symbolism: The significance of the specific figures chosen as illustrations from pure mathematics.".
- catalog tableOfContents "Introduction: Plato's "Mathematical" passages -- Types of mathematical metaphor -- Orientation and limits of the present study -- Final comment on tactics -- Part One: Mathematical images relatively independent of their dialectical contexts -- Chapter I. Examples from pure mathematics of methods and class relations -- Introductory comment: Some simple illustrations -- I. Definition of odd and even number -- II. Proof of the recollection theory of knowledge -- III. The geometer's method of hypothesis -- IV. Definition of roots and surds -- Part Two: Mathematical images closely dependent on their dialectical contexts -- Chapter II. "Social Statistics": Arithmetic detail -- I. Atlantis and its institutions -- II. The social institutions of the Laws -- a. Mathematics and the law -- b. Administrative logistic -- c. Mathematics in education for citizenship -- d. Statutory mathematics: Fines and sumptuary laws -- III. Arithmetic details in myth and chronology -- ".
- catalog title "Plato's mathematical imagination; the mathematical passages in the dialogues and their interpretation.".
- catalog type "text".