Mathematics and the Divine: A Historical Study
Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn’t the Divine that which is immeasurable ?
The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man’s quest for the Absolute in the course of history.
· Mathematics and man's quest for the Absolute
· A selective history highlighting key figures, schools and trains of thought
· An international team of historians presenting specific new findings as well as general overviews
· Confronting and uniting otherwise compartmentalized information
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CHAPTER 3 The Pythagoreans
CHAPTER 4 Mathematics and the Divine in Plato
CHAPTER 5 Nicomachus of Gerasa and the Arithmetic Scale of the Divine
CHAPTER 6 Geometry and the Divine in Proclus
CHAPTER 7 Religious Architecture and Mathematics During the Late Antiquity
CHAPTER 8 The Sacred Geography of Islam
CHAPTER 20 The Mathematical Analogy in the Proof of Gods Existence by Descartes
CHAPTER 21 Pascals Views on Mathematics and the Divine
CHAPTER 22 Spinoza and the Geometrical Way of Proof
Mathematician and Divine
CHAPTER 24 An Ocean of Truth
CHAPTER 25 God and Mathematics in Leibnizs Thought
CHAPTER 26 Berkeleys Defence of the Infinite God in Contrast to the Infinite in Mathematics
CHAPTER 27 Leonhard Euler 17071783
CHAPTER 9 Number Mystique in Early Medieval Computus Texts
CHAPTER 10 Is the Universe of the Divine Dividable?
CHAPTER 12 Odd Numbers and their Theological Potential Exploring and Redescribing the Arithmetical Poetics of the Paintings on the Ceiling of St...
Angels God and Mathematics in the Fourteenth Century
CHAPTER 14 Mathematics and the Divine in Nicholas of Cusa
CHAPTER 15 Michael Stifel and his Numerology
CHAPTER 16 Between Rosicrucians and CabbalaJohannes Faulhabers Mathematics of Biblical Numbers
CHAPTER 18 Galileo God and Mathematics
CHAPTER 19 The Mathematical Model of Creation According to Kepler
CHAPTER 28 Georg Cantor 18451918
CHAPTER 29 Gerrit Mannoury and his Fellow Significians on Mathematics and Mysticism
Priest Pavel FlorenskyTheologian Philosopher and Scientist
A Sceptical Experience
CHAPTER 33 Symbol and Space According to René Guénon
CHAPTER 34 Eddington Science and the Unseen World
CHAPTER 35 The Divined Proportion
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according analogy angels Archytas argument Aristotle arithmetic astronomy biblical body Brouwer calculation Cambridge Cantor centre century Chapter Christian church circle computus conception creation Descartes developed divine earth Eddington elements essence eternal Euclid Euler example Eyn-sof Faulhaber figures finite Florensky Galileo geometry Georg Cantor Gerrit Mannoury Greek Gregory of Rimini Guénon harmony heaven Hobbes human Husserl idea infinite infinity intellectual interpretation Kepler Kircher knowledge Koetsier L.E.J. Brouwer Leibniz letter logic magic square Mannoury math mathematical sciences mathematician means medieval metaphysics mind mysticism Newton Nicholas of Cusa numerology objects Paris Pascal Philolaus philosophy physical Plato Plotinus possible Principia principle problem Proclus proof proportion Pythagoras Pythagoreans qibla quod rational reality reason References religion religious role scientific sefirot sense soul space Spinoza spirit Stifel symbolism theology theory things thought Timaeus tradition transl triangle truth understanding unity universe Wallis