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Full Description
This work attempts to resolve the century-old dispute between Newton and Gottfried Wilhelm von Leibniz over the discovery of the calculus. It also explores both the mind and the lifelong research of Leibniz, documenting his phenomenal mathematical and philosophical findings.
Contents
Acknowledgments v; List of Figures, Tables, and Theorems xi; List of Illustrations xii; Introduction: 1; Ad Summam; Chapter I 15; The Evolution of Choice: Destiny and Disparities Consilio, non impetu; Concepts of Intelligence 15; Intelligence Measurement 18; Potential and Kinetic Theory 18; Leibniz' Youth 20; The Century of Genius 21; The Human Brain 23; Chapter II 27; Law, Politics, and Patronage; Frusta laborat qui omnibus placere studet; Louis XIV and French Rationalism 29; The Young Polymath and Huygens 30; The House of Brunswick 31; Holland and Paris 32; Leibniz' Correspondence 33; Parisian Sojourn 33; Whitehead and the Seventeenth Century 35; Chapter III 39; Analysis Situs and First Principles; Alle Anfang ist Schwer; Leibniz and the First Cause 40; The Union of Mathematics and Philosophy 41; A Universal Language 41; Subject-Predicate Reasoning 42; Leibniz and Descartes 43; Early Concept of Partition Series 43; Locke, Explicit and Implicit Substance 44; Chapter IV 49; Methodology and Mentality: The Structure of Thought; Veritas Temporis Filia; Annalen der Physik and Neurology 49; The Brain, IQ, and Intelligence 50; Factor Analysis and the Genetic g 51; Leibnizian Diversity and Cartesianism 52; Language and the I Ching 55; Concomitant Harmony and Infinity 59; Chapter V 65; Mathematica Universalis: Theoretical Intelligence; Sapiens Qui Prospicit; Cognitive Enhancers and Nutrition 65; Kinetic and Potential Intelligence 66; Some Comparative Mathematicians 66; Pierre de Fermat 67; Jacob and Johann Bernoulli 69; Probability Theory 70; Blaise Pascal 71; Music, Mathematics, and ti 72; DNA and Dyads 73; Gregor Mendel and Carl Jung 77; Leibniz and Mathematics 80; Infinite Series, Irrationals, and Primes 81; Partition Series 83; Ramanujan and Partition Series 84; Leonhard Euler 85; Prime Number Ascendancies 86; Cartesian Analysis and Imaginary Numbers 87; Chapter VI 95; The Great Newtonian Controversy: Lemma v. Theorems; Genie Universalis; Newton and Leibniz: Boyhood and Youth 96; Parallels Between Two Careers 97; Prisms, Photons, and Galileo 98; The Cartesian Miracle 99; The Magic of Functions 103; Plague, Fire, and Genius 107
