Logical Labyrinths
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Logical Labyrinths
This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author's puzzle books to his technical writing in the fascinating field of mathematical logic. Using the logic of lying and truth-telling, the au
The Quantum Labyrinth
Author: D.J. Hoekzema
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
At the outset of the research leading to this book I held a position somewhere close to 'the standard Copenhagen interpretation' of QM. I was strongly attracted to, in particular, the philosophy of Niels Bohr. However, being aware of some of the problematic sides and ambiguities of his views and of new developments which have taken place in QM after his time, the main challenge would be to develop a more up to date version version of his approach and express it in a philosophically unobjectionable way. Traces of this original attitude can still be found in views I hold nowadays. For instance, I think that I now know a satisfactory and correct way of dealing with features like 'complementarity', and I still see this as a relevant subject. In many other respects, however, there have been major changes in my position. In fact, during certain stages of my research my views simply started moving and kept on doing so at an irritating pace and for uncomfortably long periods of time. I learned, for example that at least some of the classical ideas about theory structure are much better than I had realized, and cannot just be pushed aside for anything even as impressive as empirical success.
Mathematical Labyrinths. Pathfinding
Mathematical Labyrinths. Pathfinding provides an overview of various non-standard problems and the approaches to their solutions. The essential idea is a framework laid upon the reader on how to solve nonconventional problems — particularly in the realm of mathematics and logic. It goes over the key steps in approaching a difficult problem, contemplating a plan for its solution, and discusses set of mental models to solve math problems.The book is not a routine set of problems. It is rather an entertaining and educational journey into the fascinating world of mathematical reasoning and logic. It is about finding the best path to a solution depending on the information given, asking and answering the right questions, analyzing and comparing alternative approaches to problem solving, searching for generalizations and inventing new problems. It also considers as an important pedagogical tool playing mathematical and logical games, deciphering mathematical sophisms, and interpreting mathematical paradoxes.It is suitable for mathematically talented and curious students in the age range 10-20. There are many 'Eureka'- type, out of the ordinary, fun problems that require bright idea and insight. These intriguing and thought-provoking brainteasers and logic puzzles should be enjoyable by the audience of almost any age group, from 6-year-old children to 80-year-old and older adults.