Book picks similar to
Thinking about Mathematics: The Philosophy of Mathematics by Stewart Shapiro
philosophy
mathematics
math
non-fiction
Letters from a Stoic
Seneca
- A.D. 65) acquired as Nero's minister were in conflict with his Stoic beliefs. Nevertheless he was the outstanding figure of his age. The Stoic philosophy which Seneca professed in his writings, later supported by Marcus Aurelius, provided Rome with a passable bridge to Christianity. Seneca's major contribution to Stoicism was to spiritualize and humanize a system which could appear cold and unrealistic.Selected from the Epistulae Morales ad Lucilium, these letters illustrate the upright ideals admired by the Stoics and extol the good way of life as seen from their standpoint. They also reveal how far in advance of his time were many of Seneca's ideas - his disgust at the shows in the arena or his criticism of the harsh treatment of slaves. Philosophical in tone and written in the 'pointed' style of the Latin Silver Age these 'essays in disguise' were clearly aimed by Seneca at posterity.
Alice in Quantumland: An Allegory of Quantum Physics
Robert Gilmore - 1994
Through the allegory of Alice's adventures and encounters, Gilmore makes the essential features of the quantum world clear and accessible. It is a thrilling introduction to some essential, often difficult-to-grasp concepts about the world we inhabit.
Make It Stick: The Science of Successful Learning
Peter C. Brown - 2014
Good teaching, we believe, should be creatively tailored to the different learning styles of students and should use strategies that make learning easier. Make It Stick turns fashionable ideas like these on their head. Drawing on recent discoveries in cognitive psychology and other disciplines, the authors offer concrete techniques for becoming more productive learners.Memory plays a central role in our ability to carry out complex cognitive tasks, such as applying knowledge to problems never before encountered and drawing inferences from facts already known. New insights into how memory is encoded, consolidated, and later retrieved have led to a better understanding of how we learn. Grappling with the impediments that make learning challenging leads both to more complex mastery and better retention of what was learned.Many common study habits and practice routines turn out to be counterproductive. Underlining and highlighting, rereading, cramming, and single-minded repetition of new skills create the illusion of mastery, but gains fade quickly. More complex and durable learning come from self-testing, introducing certain difficulties in practice, waiting to re-study new material until a little forgetting has set in, and interleaving the practice of one skill or topic with another. Speaking most urgently to students, teachers, trainers, and athletes, Make It Stick will appeal to all those interested in the challenge of lifelong learning and self-improvement.
Human Action: A Treatise on Economics
Ludwig von Mises - 1940
Although governments may presume to set "prices," it is individuals who, by their actions and choices through competitive bidding for money, products, and services, actually determine "prices". Thus, Mises presents economics—not as a study of material goods, services, and products—but as a study of human actions. He sees the science of human action, praxeology, as a science of reason and logic, which recognizes a regularity in the sequence and interrelationships among market phenomena. Mises defends the methodology of praxeology against the criticisms of Marxists, socialists, positivists, and mathematical statisticians.Mises attributes the tremendous technological progress and the consequent increase in wealth and general welfare in the last two centuries to the introduction of liberal government policies based on free-market economic teachings, creating an economic and political environment which permits individuals to pursue their respective goals in freedom and peace. Mises also explains the futility and counter-productiveness of government attempts to regulate, control, and equalize all people's circumstances: "Men are born unequal and ... it is precisely their inequality that generates social cooperation and civilization."Ludwig von Mises (1881–1973) was the leading spokesman of the Austrian School of Economics throughout most of the twentieth century. He earned his doctorate in law and economics from the University of Vienna in 1906. In 1926, Mises founded the Austrian Institute for Business Cycle Research. From 1909 to 1934, he was an economist for the Vienna Chamber of Commerce. Before the Anschluss, in 1934 Mises left for Geneva, where he was a professor at the Graduate Institute of International Studies until 1940, when he emigrated to New York City. From 1948 to 1969, he was a visiting professor at New York University.Bettina Bien Greaves is a former resident scholar, trustee, and longtime staff member of the Foundation for Economic Education. She has written and lectured extensively on topics of free market economics. Her articles have appeared in such journals as Human Events, Reason, and The Freeman: Ideas on Liberty. A student of Mises, Greaves has become an expert on his work in particular and that of the Austrian School of economics in general. She has translated several Mises monographs, compiled an annotated bibliography of his work, and edited collections of papers by Mises and other members of the Austrian School.
The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us
Noson S. Yanofsky - 2013
This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.
The Laws of Human Nature
Robert Greene - 2018
Now he turns to the most important subject of all - understanding people's drives and motivations, even when they are unconscious of them themselves.We are social animals. Our very lives depend on our relationships with people. Knowing why people do what they do is the most important tool we can possess, without which our other talents can only take us so far. Drawing from the ideas and examples of Pericles, Queen Elizabeth I, Martin Luther King Jr, and many others, Greene teaches us how to detach ourselves from our own emotions and master self-control, how to develop the empathy that leads to insight, how to look behind people's masks, and how to resist conformity to develop your singular sense of purpose. Whether at work, in relationships, or in shaping the world around you, The Laws of Human Nature offers brilliant tactics for success, self-improvement, and self-defense.
Super Thinking: The Big Book of Mental Models
Gabriel Weinberg - 2019
If the facts don't hang together on a latticework of theory, you don't have them in a usable form. You've got to have models in your head."- Charlie Munger, investor, vice chairman of Berkshire HathawayThe world's greatest problem-solvers, forecasters, and decision-makers all rely on a set of frameworks and shortcuts that help them cut through complexity and separate good ideas from bad ones. They're called mental models, and you can find them in dense textbooks on psychology, physics, economics, and more.Or, you can just read Super Thinking, a fun, illustrated guide to every mental model you could possibly need. How can mental models help you? Well, here are just a few examples... • If you've ever been overwhelmed by a to-do list that's grown too long, maybe you need the Eisenhower Decision Matrix to help you prioritize. • Use the 5 Whys model to better understand people's motivations or get to the root cause of a problem. • Before concluding that your colleague who messes up your projects is out to sabotage you, consider Hanlon's Razor for an alternative explanation. • Ever sat through a bad movie just because you paid a lot for the ticket? You might be falling prey to Sunk Cost Fallacy. • Set up Forcing Functions, like standing meeting or deadlines, to help grease the wheels for changes you want to occur.So, the next time you find yourself faced with a difficult decision or just trying to understand a complex situation, let Super Thinking upgrade your brain with mental models.Note: in the US the subtitle is The Big Book of Mental Models and outside it is Upgrade Your Reasoning and Make Better Decisions with Mental Models.
Structures: Or Why Things Don't Fall Down
J.E. Gordon - 1978
Gordon strips engineering of its confusing technical terms, communicating its founding principles in accessible, witty prose.For anyone who has ever wondered why suspension bridges don't collapse under eight lanes of traffic, how dams hold back--or give way under--thousands of gallons of water, or what principles guide the design of a skyscraper, a bias-cut dress, or a kangaroo, this book will ease your anxiety and answer your questions.Structures: Or Why Things Don't Fall Down is an informal explanation of the basic forces that hold together the ordinary and essential things of this world--from buildings and bodies to flying aircraft and eggshells. In a style that combines wit, a masterful command of his subject, and an encyclopedic range of reference, Gordon includes such chapters as "How to Design a Worm" and "The Advantage of Being a Beam," offering humorous insights in human and natural creation.Architects and engineers will appreciate the clear and cogent explanations of the concepts of stress, shear, torsion, fracture, and compression. If you're building a house, a sailboat, or a catapult, here is a handy tool for understanding the mechanics of joinery, floors, ceilings, hulls, masts--or flying buttresses.Without jargon or oversimplification, Structures opens up the marvels of technology to anyone interested in the foundations of our everyday lives.
Lauren Ipsum
Carlos Bueno - 2011
If the idea of a computer science book without computers upsets you, please close your eyes until you’ve finished reading the rest of this page.The truth is that computer science is not really about the computer. It is just a tool to help you see ideas more clearly. You can see the moon and stars without a telescope, smell the flowers without a fluoroscope, have fun without a funoscope, and be silly sans oscilloscope.You can also play with computer science without... you-know-what. Ideas are the real stuff of computer science. This book is about those ideas, and how to find them.
Relativity: The Special and the General Theory
Albert Einstein - 1916
Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.
The Scientific Image
Bas C. Van Fraassen - 1980
In this book van Fraassen develops an alternative to scientific realism by constructing and evaluating three mutually reinforcing theories.
Introduction to Logic
Irving M. Copi - 1953
Many new exercises introduced in this edition help supplement and support explanations, aid in review, and make the book visually stimulating. This edition also includes a revised Logic tutorial on CD-Rom--further simplifying the study of logic. Includes many fascinating illustrations taken from the history of science as well as from contemporary research in the physical and biological sciences, plus introduces an abundance of new exercises throughout, complete with solutions for the first exercise in a set. Appropriate for those in business, education, political, or psychology careers.