The ancient Roman orator Horace (65 B.C.–8 B.C.) wrote, "Control your mind or it will control you." In today's society we are faced with more information, and more complex information, than ever. Faced with making decisions, we can feel overwhelmed and helpless. One way to become less helpless — to gain control over our lives — is to gain control over our own thinking. We can feel helpless when faced with this barrage of information, opinions, data, and conflicting arguments if we lack the skills to quickly grasp and critically evaluate them. This book is designed to impart these kinds of skills. Any course in a university should do more than teach information — in nearly every field, 'facts' become obsolete quickly. The goals of Thinking Matters are to help you: to be more creative, fluid, and perceptive in solving problems; to identify the implicit premises, fallacies, or moral principles that are presupposed in the arguments of others; to be able to advocate for what you believe by effectively refuting opposing arguments and presenting persuasive arguments of your own; to understand the logic of scientific testing to distinguish between science and pseudo-science; to develop your own style and intuitive powers of logical deduction, probabilistic reasoning, and computational thinking. The text is punctuated with exercises or 'personal experiments' to challenge and stimulate your curiosity. These exercises may take the form of an inventory to be taken, a puzzle to be solved, or some thoughts to ponder. The first module Thinking Matters: Critical Thinking as Creative Problem Solving introduces the student to all the above topics — logic, probability, argument forms and fallacies, ethical reasoning, algorithms, and computational thinking — through logic puzzles and games and mathematical magic tricks.
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Gary R Mar was the last student to have a PhD directed by Alonzo Church and co-directed by the set-theorist Donald A Martin. Professor Mar is co-author with Donald Kalish and Richard Montague of Logic: Techniques of Formal Reasoning (second edition, Oxford University Press) and co-author with Patrick Grim and Paul St. Denis of The Philosophical Computer (MIT Press). Professor Mar was the catalyst for the donation of the Charles B Wang Asian American Center at Stony Brook University. Professor Mar produced a DVD series Noam Chomsky: On Chomsky Language, Mind and Freedom, the Stony Brook Lectures when he was the host for Noam Chomsky as a visiting professor in Stony Brook's Philosophy Department. Professor Mar's logical work using dynamical semantics to find fractal images in the semantics of paradox has been discussed in Scientific American by Ian Stewart. Professor Mar's intellectual hobbies include solving and creating logical and linguistic puzzles, learning mathematical magic inspired by a life-long fascination with the writings of Martin Gardner, and writing about the paradoxical logic and life of Kurt Gödel. Professor Mar recently spoken at the University of Vienna at the Kurt Gödel Society conference entitled Gödel's Legacy: Does the Future Lie in the Past?
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