Book picks similar to
Introduction to Axiomatic Set Theory by Gaisi Takeuti
mathematics
logic
03-logic-and-set-theory
axiomatic
Capital in the Twenty-First Century
Thomas Piketty - 2013
But satisfactory answers have been hard to find for lack of adequate data and clear guiding theories. In Capital in the Twenty-First Century, Thomas Piketty analyzes a unique collection of data from twenty countries, ranging as far back as the eighteenth century, to uncover key economic and social patterns. His findings will transform debate and set the agenda for the next generation of thought about wealth and inequality.Piketty shows that modern economic growth and the diffusion of knowledge have allowed us to avoid inequalities on the apocalyptic scale predicted by Karl Marx. But we have not modified the deep structures of capital and inequality as much as we thought in the optimistic decades following World War II. The main driver of inequality—the tendency of returns on capital to exceed the rate of economic growth—today threatens to generate extreme inequalities that stir discontent and undermine democratic values. But economic trends are not acts of God. Political action has curbed dangerous inequalities in the past, Piketty says, and may do so again.
From Eternity to Here: The Quest for the Ultimate Theory of Time
Sean Carroll - 2009
In the hands of one of today’s hottest young physicists, that simple fact of breakfast becomes a doorway to understanding the Big Bang, the universe, and other universes, too. In From Eternity to Here, Sean Carroll argues that the arrow of time, pointing resolutely from the past to the future, owes its existence to conditions before the Big Bang itself, a period modern cosmology of which Einstein never dreamed. Increasingly, though, physicists are going out into realms that make the theory of relativity seem like child’s play. Carroll’s scenario is not only elegant, it’s laid out in the same easy-to- understand language that has made his group blog, Cosmic Variance, the most popular physics blog on the Net. From Eternity to Here uses ideas at the cutting edge of theoretical physics to explore how properties of spacetime before the Big Bang can explain the flow of time we experience in our everyday lives. Carroll suggests that we live in a baby universe, part of a large family of universes in which many of our siblings experience an arrow of time running in the opposite direction. It’s an ambitious, fascinating picture of the universe on an ultra-large scale, one that will captivate fans of popular physics blockbusters like Elegant Universe and A Brief History of Time.
Fat Is a Feminist Issue
Susie Orbach - 1978
Reflecting on our increasingly diet and body-obsessed society, Susie Orbach's new introduction explains how generations of women and girls are growing up absorbing the eating anxieties around them. In an age where women want to be sexy, nurturing, domestic goddesses, confident at work, and feminine too, the twenty-first-century woman is poorly armed for survival. Never before has the Fat Is A Feminist Issue revolution been more in need of revival.Exploring our love/hate relationship with food, Susie Orbach describes how fat is about so much more than food. It is a response to our social situation; the way we are seen by others and ourselves. Too often food is a source of anguish, as are our bodies. But Fat Is A Feminist Issue discusses how we can turn food into a friend and find ways to accept ourselves for who and how we are. Following the step-by-step guide, and you too can put an end to food anxieties and dieting.
Loserthink: How Untrained Brains Are Ruining America
Scott Adams - 2019
If you've been on social media lately, or turned on your TV, you may have noticed a lot of dumb ideas floating around."We know when history will repeat and when it won't.""We can tell the difference between evidence and coincidences.""The simplest explanation is usually true."Wrong, wrong, and dangerous!If we're not careful, loserthink would have us believe that every Trump supporter is a bigoted racist, addicts should be responsible for fixing the opioid epidemic, and that your relationship fell apart simply because you chewed with your mouth open.Even the smartest people can slip into loserthink's seductive grasp. This book will teach you how to spot and avoid it--and will give you scripts to respond when hollow arguments are being brandished against you, whether by well-intentioned friends, strangers on the internet, or political pundits. You'll also learn how to spot the underlying causes of loserthink, like the inability to get ego out of your decisions, thinking with words instead of reasons, failing to imagine alternative explanations, and making too much of coincidences.Your bubble of reality doesn't have to be a prison. This book will show you how to break free--and, what's more, to be among the most perceptive and respected thinkers in every conversation.
Politics and the English Language
George Orwell - 1946
The essay focuses on political language, which, according to Orwell, "is designed to make lies sound truthful and murder respectable, and to give an appearance of solidity to pure wind." Orwell believed that the language used was necessarily vague or meaningless because it was intended to hide the truth rather than express it.
Better Together: Making Church Mergers Work
Jim Tomberlin - 2012
Is there a way for them to combine forces, drawing on both their strengths, in ways that also increase their missional impact? Church merger consultant Jim Tomberlin, with co-writer Warren Bird, makes the case that mergers today work best not with two struggling churches but with a vital, momentum-filled lead church partnering with a joining church. In this new book, they provide a complete, practical, hands-on guide for church leaders of both struggling and vibrant churches so that they can understand the issues, develop strategies, and execute a variety of forms of merger for church expansion and renewal to reinvigorate declining churches and give them a second life.
The General Theory of Employment, Interest, and Money
John Maynard Keynes - 1935
In his most important work, The General Theory of Employment, Interest, and Money (1936), Keynes critiqued the laissez-faire policies of his day, particularly the proposition that a normally functioning market economy would bring full employment. Keynes's forward-looking work transformed economics from merely a descriptive and analytic discipline into one that is policy oriented. For Keynes, enlightened government intervention in a nation's economic life was essential to curbing what he saw as the inherent inequalities and instabilities of unregulated capitalism.
Think Again: How to Reason and Argue
Walter Sinnott-Armstrong - 2018
The inability to compromise and understand the opposition is epidemic today, from countries refusing to negotiate, to politicians pandering to their base. Social media has produced a virulent world where extreme positions dominate. In most of these disagreements, parties yell at each other, very little progress is made, and the end result is a hardening (or further widening) of positions. There is however, such a thing as 'good' arguments. Arguments that offer reasons on both sides can ultimately allow for some mutual understanding and respect, and even if neither party is convinced by the other, the possibility of compromise can result.Sinnott-Armstrong's book shows the importance of good arguments and reveals common misunderstandings about them. Many people see an argument just as a means to persuade other people or beat them in an intellectual competition. Sinnott-Armstrong sees them as much more essential-as a means to play a constructive role in the way we interact with each other. He shows the way out of the impasse by introducing readers to what makes a good argument. In clear, lively, and practical prose, and using plentiful examples from politics, popular culture, and everyday life, he introduces the reader to topics such as: what defines an argument; the role that reasons play in arguments; the pieces that make up good arguments; what arguments can accomplish effectively; the difference between essential terms like deductive, inductive, and abductive in creating an argument; and how to spot fallacies in others' arguments. Armed with these tools, Sinnott-Armstrong wants readers to be able to spot bad reasoning and bad arguments, and to advance their own view in a forceful and logical way-with an eye toward effective resolution of disputes.
How to Prove It: A Structured Approach
Daniel J. Velleman - 1994
The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5
Against Interpretation and Other Essays
Susan Sontag - 1966
Originally published in 1966, it has never gone out of print and has influenced generations of readers all over the world. It includes the famous essays "Notes on Camp" and "Against Interpretation," as well as her impassioned discussions of Sartre, Camus, Simone Weil, Godard, Beckett, Lévi-Strauss, science-fiction movies, psychoanalysis, and contemporary religious thought.This edition has a new afterword, "Thirty Years Later," in which Sontag restates the terms of her battle against philistinism and against ethical shallowness and indifference.
Introduction to Topology
Bert Mendelson - 1975
It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.
Book of Proof
Richard Hammack - 2009
It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.
Vedic Mathematics
Jagadguru S. Maharaja - 1992
It relates to the truth of numbers and magnitudes equally to all sciences and arts. The book brings to light how great and true knowledge is born of intuition, quite different from modern Western method. The ancient Indian method and its secret techniques are examined and shown to be capable of solving various problems of mathematics.