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Thinking about Gdel and Turing
Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable ê number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as Gdel and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work...
Randomness and Complexity
The book is a collection of papers written by a selection of eminent authors from around the world in honour of Gregory Chaitin''s 60th birthday. This is a unique volume including technical contributions, philosophical papers and essays. Sample Chapter(s). Chapter 1: On Random and Hard-to-Describe Numbers (902 KB). Contents: On Random and Hard-to-Describe Numbers (C H Bennett); The Implications of a Cosmological Information Bound for Complexity, Quantum Information and the Nature of Physical Law (P C W Davies); What is a Computation? (M Davis); A Berry-Type Paradox (G Lolli); The Secret Number. An Exposition of Chaitin''s Theory (G Rozenberg & A Salomaa); Omega and the Time Evolution of the n-Body Problem (K Svozil); God''s Number: Where Can We Find the Secret of the Universe? In a Single Number! (M Chown); Omega Numbers (J-P Delahaye); Some Modern Perspectives on the Quest for Ultimate Knowledge (S Wolfram); An Enquiry Concerning Human (and Computer!) [Mathematical] Understanding (D Zeilberger); and other papers. Readership: Computer scientists and philosophers, both in academia and industry.
The Temporal Mechanics of the Fourth Gospel
By redefining narrative temporality in light of modern physics, this book advances a unique and innovative approach to the deep-seated temporalities within the Gospel of Johna "and challenges the implicit assumptions of textual brokenness that run throughout Johannine scholarship.
Conversations with a Mathematician
The author, G. J. Chaitin, shows that God plays dice not only in quantum mechanics but also in the foundations of mathematics. According to Chaitin there exist mathematical facts that are true for no reason. This fascinating and provocative text contains a collection of his most wide-ranging and non-technical lectures and interviews. It will be of interest to anyone concerned with the philosophy of mathematics, the similarities and differences between physics and mathematics, and mathematics as art.
Unconventional Models of Computation, UMC’2K
This book contains papers presented at the 2nd International Conference on Unconventional Models of Computation (UMCK'2K), which was held at Solvay Institutes, Brussels, Belgium, in December 2000. Computers as we know them may be getting better and cheaper, and doing more for us, but they are still unable to cope with many tasks of practical interest. Nature, though, has been 'computing' with molecules and cells for billions of years, and these natural processes form the main motivation for the construction of radically new models of computation, the core theme of the papers in this volume. Unconventional Models of Computation, UMCK'2K covers all major areas of unconventional computation, including quantum computing, DNA-based computation, membrane computing and evolutionary algorithms.
Phenomenology or Deconstruction?
Phenomenology or Deconstruction? challenges traditional understandings of the relationship between phenomenology and deconstruction through new readings of the work of Maurice Merleau-Ponty, Paul Ricur and Jean-Luc Nancy. A constant dialogue with Jacques Derrida's engagement with phenomenological themes provides the impetus to establishing a new understanding of 'being' and 'presence' that exposes significant blindspots inherent in traditional readings of both phenomenology and deconstruction. In reproducing neither a stock phenomenological reaction to deconstruction nor the routine deconstructive reading of phenomenology, Christopher Watkin provides a fresh assessment of the possibilities f...
Modernity's Pretenses
Undermines modernity's authority through a cultural and historical examination of texts and thinkers from the Enlightenment to post-Stalinist Europe.
Greek Thought
In more than 60 essays by an international team of scholars, this volume explores the full breadth and reach of Greek thought, investigating what the Greeks knew as well as what they thought they knew, and what they believed, invented, and understood about the possibilities of knowing. 65 color illustrations. Maps.
God, Humanity, and the Universe
The main objective of this book on cosmology and theology is to reassess the current approach to research in the field of interaction, mediation, and dialogue between modern cosmology and Christian theology (Eastern Orthodox theology in particular). This project was part of wide-ranging cross-disciplinary research undertaken by scientists, philosophers, and theologians across the world within the framework of Science & Orthodoxy around the World, run by the National Hellenic Research Foundation (Athens) from 2019 to 2023. The project and this publication contribute to the large-scale academic activity in the field of science and religion (or science and theology) with a particular accent on the contribution of Eastern Orthodox theology to this dialogue, as well as to the venues of advancement of this theology given the recent breakthroughs in cosmology, physics, and philosophy. The book also underlines the importance of expressing cosmological ideas theologically, symbolically, and scientifically in the wide context of culture and humanity’s sociopolitical and environmental predicaments.
The Cambridge Companion to Einstein
These fourteen essays by leading historians and philosophers of science introduce the reader to the work of Albert Einstein. Following an introduction that places Einstein's work in the context of his life and times, the essays explain his main contributions to physics in terms that are accessible to a general audience, including special and general relativity, quantum physics, statistical physics, and unified field theory. The closing essays explore the relation between Einstein's work and twentieth-century philosophy, as well as his political writings.
