Nature Inspired Designs Unraveling The Science Of Problem Solving With Combinatorics Uum Press
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Nature-Inspired Designs: Unraveling The Science of Problem Solving with Combinatorics (UUM Press)
This inaugural talk unveils the secrets of effective problem solving, delving into innovative approaches that spark creativity. Drawing inspiration from the enchanting beauty of butterfly wings, the book uncovers the hidden artistry within their symmetrical and intricate patterns through combinatorial processes, resulting in stunning and aesthetically pleasing designs. Discover the ingenious half-butterfly technique, generating n! elements inspired by the delicate flutter of butterfly wings. Witness the emergence of the extraordinary “wing sequence,” meticulously crafted through the categorization of wing movements. Experience the captivating elegance of the butterfly triple system, a remarkable combinatorial design that showcases the symmetrical patterns found in butterflies. Moreover, the book introduces the Explore, Discover & Develop (ExDiD) method—a revolutionary teaching and learning approach that nurtures critical and creative thinking skills by exploring combinatorics in problem solving. Prepare to be inspired and enhance your problem solving abilities, contributing to the advancement of the field. Combinatorics unlocks endless possibilities and reshapes our understanding of problem solving.
Human Reasoning and Cognitive Science
A new proposal for integrating the employment of formal and empirical methods in the study of human reasoning. In Human Reasoning and Cognitive Science, Keith Stenning and Michiel van Lambalgen—a cognitive scientist and a logician—argue for the indispensability of modern mathematical logic to the study of human reasoning. Logic and cognition were once closely connected, they write, but were “divorced” in the past century; the psychology of deduction went from being central to the cognitive revolution to being the subject of widespread skepticism about whether human reasoning really happens outside the academy. Stenning and van Lambalgen argue that logic and reasoning have been separated because of a series of unwarranted assumptions about logic. Stenning and van Lambalgen contend that psychology cannot ignore processes of interpretation in which people, wittingly or unwittingly, frame problems for subsequent reasoning. The authors employ a neurally implementable defeasible logic for modeling part of this framing process, and show how it can be used to guide the design of experiments and interpret results.
Mind and Nature
Author: Hermann Weyl
language: en
Publisher: Princeton University Press
Release Date: 2009-03-31
Hermann Weyl (1885-1955) was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophical implications of the startling new scientific developments with which he was so involved. Mind and Nature is a collection of Weyl's most important general writings on philosophy, mathematics, and physics, including pieces that have never before been published in any language or translated into English, or that have long been out of print. Complete with Peter Pesic's introduction, notes, and bibliography, these writings reveal an unjustly neglected dimension of a complex and fascinating thinker. In addition, the book includes more than twenty photographs of Weyl and his family and colleagues, many of which are previously unpublished. Included here are Weyl's exposition of his important synthesis of electromagnetism and gravitation, which Einstein at first hailed as "a first-class stroke of genius"; two little-known letters by Weyl and Einstein from 1922 that give their contrasting views on the philosophical implications of modern physics; and an essay on time that contains Weyl's argument that the past is never completed and the present is not a point. Also included are two book-length series of lectures, The Open World (1932) and Mind and Nature (1934), each a masterly exposition of Weyl's views on a range of topics from modern physics and mathematics. Finally, four retrospective essays from Weyl's last decade give his final thoughts on the interrelations among mathematics, philosophy, and physics, intertwined with reflections on the course of his rich life.