Fragment Of The Universe

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The Hyperuniverse Project and Maximality

This collection documents the work of the Hyperuniverse Project which is a new approach to set-theoretic truth based on justifiable principles and which leads to the resolution of many questions independent from ZFC. The contributions give an overview of the program, illustrate its mathematical content and implications, and also discuss its philosophical assumptions. It will thus be of wide appeal among mathematicians and philosophers with an interest in the foundations of set theory. The Hyperuniverse Project was supported by the John Templeton Foundation from January 2013 until September 2015
Chronometric Invariants

Author: Abram Leonidovich Zelʹmanov
language: en
Publisher: Infinite Study
Release Date: 2006-01-01
This book was written in 1944 by Abraham Zelmanov, a prominent scientist working in General relativity and cosmology. Herein he constructs the theory of physical observable quantities in General Relativity (Chronometric Invariants), and applies it to determine all possible cosmological models within the framework of Einsteins theory scenarios of evolution which could be theoretically conceivable for a truly inhomogeneous and anisotropic Universe.
Infinity

Author: Michael Heller
language: en
Publisher: Cambridge University Press
Release Date: 2011-02-07
This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.