Book picks similar to
Kurt G�del: Essays for His Centennial by Solomon Feferman
logic-منطق
math
mathematics
philosophy
Richard Dawkins' God Delusion: A Repentant Refutation
Klaus Nürnberger - 2010
Part I asks: Is evolving Nature all there is – self-generated, self-sustaining, self-contained? Are human beings, as the topmost outgrowth of Nature, responsible to none other but themselves? That is the stance of naturalist and atheist Richard Dawkins. Or is evolving reality derived from, and dependent on, a transcendent Source and Destiny, to whom humans are accountable and whose benevolence reaches out to humans as persons because humans are persons? That is the conviction of the Christian faith. Part II shows that Dawkins’ interpretation of religion is deficient even in evolutionary terms and lacks the objectivity and impartiality of genuine science.Backed with in-depth study and thorough research, Richard Dawkins’ God Delusion: A repentant refutation is a masterfully written work that attempts to provide answers to believers and non-believers by presenting scientific and religious reasoning.
In Praise of Mathematics
Alain Badiou - 2015
Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.
How to Think Clearly: A Guide to Critical Thinking
Doug Erlandson - 2012
Dr. Doug Erlandson draws on concrete examples of good and bad reasoning from the political and social realm and everyday life to make his points in a sometimes lighthearted but always meaningful way. Here's a Preview of What's in the Book
Identifying the differences between good and bad arguments
Avoiding fallacies
Creating good explanations
Assessing probabilities
Recognizing that statistics and numbers can lie
˃˃˃ Here's How You Benefit How to Think Clearly gives you the tools you need to critically assess the claims and counterclaims with which you are bombarded by politicians, pundits, commentators and editors, as well as coworkers, friends and family, and will aid you in developing skills to present your view in ways that are clear, coherent, sensible and persuasive. ˃˃˃ Suitable as a classroom text and for independent study How to Think Clearly is easy to understand and suitable for independent study. At the same time it offers the content and intellectual rigor that you would expect in a text for an introductory college-level course in critical thinking. ˃˃˃ What Others Are Saying About How to Think Clearly: A Guide to Critical Thinking Dr. Erlandson has given a wonderful introduction to good critical thinking: how to recognize good and bad arguments, helpful and non-helpful explanations, the ways that numbers can be manipulated. You can tell that he must be a good teacher. (G. Feltner)The author offers a refuge of reason within our culture of disregard for open-mindedness and rational discourse where the popular debate of serious issues or ideas is often a shouting match from the margins. (Cubs Fan)A great read for anyone who is new to logic and critical thinking, or someone who just wants to review and refresh their knowledge. (Paul D.)
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104 Number Theory Problems: From the Training of the USA IMO Team
Titu Andreescu - 2006
Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
Math Riddles For Smart Kids: Math Riddles and Brain Teasers that Kids and Families will Love
M. Prefontaine - 2017
It is a collection of 150 brain teasing math riddles and puzzles. Their purpose is to make children think and stretch the mind. They are designed to test logic, lateral thinking as well as memory and to engage the brain in seeing patterns and connections between different things and circumstances. They are laid out in three chapters which get more difficult as you go through the book, in the author’s opinion at least. The answers are at the back of the book if all else fails. These are more difficult riddles and are designed to be attempted by children from 10 years onwards, as well as participation from the rest of the family. Tags: Riddles and brain teasers, riddles and trick questions, riddles book, riddles book for kids, riddles for kids, riddles for kids aged 9-12, riddles and puzzles, jokes and riddles, jokes book, jokes book for kids, jokes children, jokes for kids, jokes kids, puzzle book
When Einstein Walked with Gödel: Excursions to the Edge of Thought
Jim Holt - 2018
With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.
Gödel, Escher, Bach: An Eternal Golden Braid
Douglas R. Hofstadter - 1979
However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.
Calculus: The Classic Edition
Earl W. Swokowski - 1991
Groundbreaking in every way when first published, this book is a simple, straightforward, direct calculus text. It's popularity is directly due to its broad use of applications, the easy-to-understand writing style, and the wealth of examples and exercises which reinforce conceptualization of the subject matter. The author wrote this text with three objectives in mind. The first was to make the book more student-oriented by expanding discussions and providing more examples and figures to help clarify concepts. To further aid students, guidelines for solving problems were added in many sections of the text. The second objective was to stress the usefulness of calculus by means of modern applications of derivatives and integrals. The third objective, to make the text as accurate and error-free as possible, was accomplished by a careful examination of the exposition, combined with a thorough checking of each example and exercise.
Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers
Dan Rockmore - 2005
Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.
Proofiness: The Dark Arts of Mathematical Deception
Charles Seife - 2010
According to MSNBC, having a child makes you stupid. You actually lose IQ points. Good Morning America has announced that natural blondes will be extinct within two hundred years. Pundits estimated that there were more than a million demonstrators at a tea party rally in Washington, D.C., even though roughly sixty thousand were there. Numbers have peculiar powers-they can disarm skeptics, befuddle journalists, and hoodwink the public into believing almost anything. "Proofiness," as Charles Seife explains in this eye-opening book, is the art of using pure mathematics for impure ends, and he reminds readers that bad mathematics has a dark side. It is used to bring down beloved government officials and to appoint undeserving ones (both Democratic and Republican), to convict the innocent and acquit the guilty, to ruin our economy, and to fix the outcomes of future elections. This penetrating look at the intersection of math and society will appeal to readers of Freakonomics and the books of Malcolm Gladwell.
Problems in Mathematics with Hints and Solutions
V. Govorov - 1996
Theory has been provided in points between each chapter for clarifying relevant basic concepts. The book consist four parts algebra and trigonometry, fundamentals of analysis, geometry and vector algebra and the problems and questions set during oral examinations. Each chapter consist topic wise problems. Sample examples are provided after each text for understanding the topic well. The fourth part "oral examination problems and question" includes samples suggested by the higher schools for the help of students. Answers and hints are given at the end of the book for understanding the concept well. About the Book: Problems in Mathematics with Hints and Solutions Contents: Preface Part 1. Algebra, Trigonometry and Elementary Functions Problems on Integers. Criteria for Divisibility Real Number, Transformation of Algebraic Expressions Mathematical Induction. Elements of Combinatorics. BinomialTheorem Equations and Inequalities of the First and the SecondDegree Equations of Higher Degrees, Rational Inequalities Irrational Equations and Inequalities Systems of Equations and Inequalities The Domain of Definition and the Range of a Function Exponential and Logarithmic Equations and Inequalities Transformations of Trigonometric Expressions. InverseTrigonometric Functions Solutions of Trigonometric Equations, Inequalities and Systemsof Equations Progressions Solutions of Problems on Derivation of Equations Complex Numbers Part 2. Fundamentals of Mathematical Analysis Sequences and Their Limits. An Infinitely Decreasing GeometricProgression. Limits of Functions The Derivative. Investigating the Behaviors of Functions withthe Aid of the Derivative Graphs of Functions The Antiderivative. The Integral. The Area of a CurvilinearTrapezoid Part 3. Geometry and Vector Algebra Vector Algebra Plane Geometry. Problems on Proof Plane Geometry. Construction Problems Plane Geometry. C