Details

Autor(en) / Beteiligte

• Koetsier, T
• Bergmans, L

Titel

Mathematics and the divine : a historical study [electronic resource]

Auflage

Ist ed

Link zum Volltext

• Elsevier Books AutoHoldings

Beschreibungen/Notizen

• Description based upon print version of record.
• Includes bibliographical references and indexes.
• Preface; List of Contributors; Contents; Introduction; The divine and mathematics; Three periods: The pre-Greek period, the Pythagorean-Platonic period and the period of the Scientific Revolution and its aftermath; The pre-Greek period and the ritual origin of mathematics; The Pythagorean-Platonic period; The Scientific Revolution and its aftermath; References; Chinese Number Mysticism; Introduction; The Hetu Diagram and the Luoshu Chart; The system of the Yijing (Book of Changes); Daoist liturgy; Mysticism in the Chinese magic square; Popular beliefs in number mysticism and conclusions
• Bibliographical commentsReferences; Derivation and Revelation: The Legitimacy of Mathematical Models in Indian Cosmology; Indian science, Indian religion: ``Orientalist'' and ``post-Orientalist'' views; The Puranas; The siddhantas; Contradiction and concession; The quest for non-contradiction; The status of siddhantas in the nineteenth century; Mathematical models in siddhantas; Conclusion; Bibliographical notes; References; The Pythagoreans; Introduction; Pythagoreanism in Plato and Aristotle; Pythagoreanism: some evidence from the Pythagoreans
• Mathematics and the divine in the Pythagoreans: a suggestionNotice for further reading; References; Mathematics and the Divine in Plato; Preliminary remarks; Introduction; The Timaeus; The Republic; Conclusion; Appendix A. The division of the stuff of the world soul (Timaeus 35b-36b); References; Nicomachus of Gerasa and the Arithmetic Scale of the Divine; Introduction; Theologoumena Arithmetica; References; Geometry and the Divine in Proclus; Philosophy as divinisation; Mathematics in the divinisation of human nature; The nature of mathematical science; The metaphysics of geometry
• St. Sophia: a geometry of the divine?Bibliographical note; Religious Architecture and Mathematics During the Late Antiquity; Introduction; Religious architecture and heavenly measurements; Religious architecture and geometrical measurements; The building in its Earth-Heaven dialectic, or the circle above the square; References; The Sacred Geography of Islam; Introduction; The dichotomy of science in Islamic civilisation; The sacred geography of the legal scholars; The sacred geography of the scientists; The orientation of mosques and Islamic cities; Concluding remarks; References
• ``Number Mystique'' in Early Medieval Computus TextsIntroduction; The shape and scope of computus; Computus as ratio numerorum: the Irish computus of ca. 658; Computus as ratio temporum: Bede's revision of computistical ``number mystique''; Byrhtferth's choices; Is the Universe of the Divine Dividable?; The sefirotic concept of Divinity developed in response to philosophy and rational theology; Eyn-sof, the perfectly unknowable origin of the sefirot; The struggle between mat]PlotinusPlotinus' God and the God of the Bible; Thought and Will in zoharic and pre-zoharic literature
• The relations between Eyn-sof and the sefirot
• 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 tellin
• English