Is Principia Mathematica Worth Reading
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Demystifying Computation: A Hands-on Introduction
Author: Apostolos Syropoulos
language: en
Publisher: World Scientific Publishing Company
Release Date: 2017-04-19
Problem solving in computing is referred to as computational thinking. The theory behind this concept is challenging in its technicalities, yet simple in its ideas. This book introduces the theory of computation from its inception to current form of complexity; from explanations of how the field of computer science was formed using classical ideas in mathematics by Gödel, to conceptualization of the Turing Machine, to its more recent innovations in quantum computation, hypercomputation, vague computing and natural computing. It describes the impact of these in relation to academia, business and wider society, providing a sound theoretical basis for its practical application.Written for accessibility, Demystifying Computation provides the basic knowledge needed for non-experts in the field, undergraduate computer scientists and students of information and communication technology and software development.
Into the Unknown
A leading astronomer and gifted teacher takes readers on a wondrous tour—"perfect for anyone who enjoyed Astrophysics for People in a Hurry" (Publishers Weekly)—of how science confronts the big questions about the origins, destiny, and fundamental nature of our universe Humans have learned a lot about the world around us and the universe beyond. We have made powerful insights and created profound theories about the universe and everything in it. Surely the ultimate theory must be waiting, just beyond our current knowledge. Well, maybe. In Into the Unknown, astrophysicist Kelsey Johnson takes us to the edge of scientific understanding about the universe: What caused the Big Bang? What happens inside black holes? Are there other dimensions? She doesn’t just celebrate what we know but rather what we don’t, and asks what it means if we never find that knowledge. Exploring the convergence of science, philosophy, and theology, Johnson argues we must reckon with possibilities—including those that may be beyond human comprehension. The very places where we run smack into total ignorance are the places where the most important questions—about the philosophy of knowledge, the nature of our cosmos, and even the existence of God—await. As accessible as it is profound, Into the Unknown invites each of us to join in the great quest for knowledge.
The Evolution of Principia Mathematica
Author: Bernard Linsky
language: en
Publisher: Cambridge University Press
Release Date: 2011-06-09
Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of Propositions and Functions', which was divided up and re-used to create the final changes for the second edition. These documents provide fascinating insight, including Russell's attempts to work out the theorems in the flawed Appendix B, 'On Induction'. An extensive introduction describes the stages of the manuscript material on the way to print and analyzes the proposed changes in the context of the development of symbolic logic after 1910.