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The Romance of Mathematics
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INTRODUCTION: The lectures, essays, and other matter contained in these pages have been discovered recently in a well-worn desk which was formerly the property of a Lady Professor of Girtham College; and as they contain some original thoughts and investigations, they have been considered worthy of publication. How they came into the possession of the present writer it is not his intention to disclose; but inasmuch as they seemed to his unscientific mind to contain some important discoveries which might be useful to the world, he determined to investigate thoroughly the contents of the mysterious desk, and make the public acquainted with its profound treasures. He found some documents which did not refer exactly to the subject of 'Polemical Mathematics;' but knowing the truth of the Hindoo [vi] proverb, 'The words of the wise are precious, and never to be disregarded,' and feeling sure that this Lady Professor of Girtham College was entitled to that appellation, he ventured to include them in this volume, and felt confident that in so doing he would be carrying out the intention of the Authoress, had she expressed any wishes on the subject. In fact, as he valued the interests of the State and his own peace of mind, he dared not withhold any particle of that which he conceived would confer a lasting benefit on mankind. Internal evidence seems to show that the earlier portion of the MS. was written during the period when the authoress was still in statu pupillari; but her learning was soon recognised by the Collegiate Authorities, and she was speedily elected to a Professorship. Her lectures were principally devoted to the abstruse subject of Scientific Politics, and are worthy of the attention of all those whose high duty it is to regulate the affairs of the State. CONTENTS: I. Some Remarks on Female Education: Cambridge Man's Powers of Application.--Torturing Ingenuity of Examiners.--Slaying an Enemy.--'Concentration.'--'Tangential Action.'--'Gravity' II. Lecture on the Theory of Brain Waves and the Transmigration and Potentiality of Mental Forces III. The Social Properties of a Conic Section, and the Theory of Polemical Mathematics: Circle.'--'Parabola.'--'Ellipse.' 'Eccentricity of Curves' IV. The Social Properties of a Conic Section (continued): 'Ellipse.'--Most favoured State.--Alarming Result of Suppression of House of Lords.--Analogies of Nature.--Directrix.--Contact of Curves and States.--'Hyperbola.'--Problems.--Radical Axis and Patriotism.--Extension of Franchise to Women.--Correspondence V. Social Forces, with some Account of Polemical Kinematics:The Use of Imagination in Scientific Discovery.--Kinetic and Potential Energy.--Social Statics and Dynamics.--Attractive Forces.--Cohesion.--Formation of States.--Inertia.--Dr. Tyndall on Social Forces VI. Social Forces (continued): Polemical Statics and Dynamics: 'Personal Equation.'--Public Opinion, how calculated.--Impulsive Forces.--Friction.--Progress VII. Laws of Political Motion: M. Auguste Comte on Political Science.--First Law of Motion.--The Biology of Politics.--Stages of Growth and Decay of States.--Doctrine of Nationality.--Doctrine of Independence.--Law of Morality.--Ignorance of Electors and Selfishness of Statesmen opposed to Action of Law.--Final 'Reign of Law' VIII. The Principle of Polemical Cohesion: Centralization.--Co-operation of States.--Marriage.--Trade Unions.--International LawExtracts from the Diary of the Lady Professor ConclusionHodnocení uživatelů:
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