Here are 100 books that The Mathematics of Life fans have personally recommended if you like
The Mathematics of Life.
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I have lived a life filled with diverse life experiences and have encountered people in very different professions who could think effectively and deeply understand topics unrelated to their profession. My life changed for the better when I finally started to develop a deep understanding of math, which empowered me to believe that I could develop a deep understanding of things I encountered. However, this change did not occur in me until my late twenties. My current passion is to empower people to think more effectively early in their lives.
I love how it provides a wonderful historical perspective on how striving for a deeper understanding of a relatively simple concept (the ratio of the circumference of a circle to its diameter) led to advances in mathematics. I particularly enjoy the ride the author takes us on through the generations of great mathematicians and their contributions to the history of π.
I strongly echo the book's closing paragraphs, emphasizing the importance of free and effective societal thinking. “Destroy it! Is what the Soviet censor screams when he sees a copy of Orwell’s 1984.” (see the next book on my list.)
The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.
Like a caricature, satire lets you see reality better by exaggerating it. When satire is done right, every element, from the overall plot to the characters to paragraph-level details, is there to cast an exposing light on some part of our real world. They are books that exist on many levels, expose hubris and essential misunderstandings, and generally speak truth to power. They should leave the reader reassessing core assumptions about how the world works. I’ve written a best-selling nonfiction book about machine learning in the past, and I probably could have taken that approach again, but AI and American politics are both ripe for satire.
This book taught me the meaning of the word “totalitarianism.” It’s like a horror movie you can’t escape from, but instead of a zombie fungus eating your mind, it’s the state controlling every little aspect of your life, down to—and worst of all—the words that you think with, and therefore what you can even conceive of.
Few books have stayed in my mind like this one. Even today—or more than ever—its images come to my mind over and over again when I see what is happening in America and the world.
1984 is the year in which it happens. The world is divided into three superstates. In Oceania, the Party's power is absolute. Every action, word, gesture and thought is monitored under the watchful eye of Big Brother and the Thought Police. In the Ministry of Truth, the Party's department for propaganda, Winston Smith's job is to edit the past. Over time, the impulse to escape the machine and live independently takes hold of him and he embarks on a secret and forbidden love affair. As he writes the words 'DOWN WITH BIG…
I have lived a life filled with diverse life experiences and have encountered people in very different professions who could think effectively and deeply understand topics unrelated to their profession. My life changed for the better when I finally started to develop a deep understanding of math, which empowered me to believe that I could develop a deep understanding of things I encountered. However, this change did not occur in me until my late twenties. My current passion is to empower people to think more effectively early in their lives.
I love this book because the ideas shared helped transform how I teach my mathematics courses. It helped me see that mathematics is the perfect vehicle to illustrate, reinforce, and learn to become a more effective thinker in all aspects of life.
It is a quick read and is timelier than ever, as I believe the ability to think effectively is often not emphasized today.
The 5 Elements of Effective Thinking presents practical, lively, and inspiring ways for you to become more successful through better thinking. The idea is simple: You can learn how to think far better by adopting specific strategies. Brilliant people aren't a special breed--they just use their minds differently. By using the straightforward and thought-provoking techniques in The 5 Elements of Effective Thinking, you will regularly find imaginative solutions to difficult challenges, and you will discover new ways of looking at your world and yourself--revealing previously hidden opportunities. The book offers real-life stories, explicit action items, and concrete methods that allow…
I have lived a life filled with diverse life experiences and have encountered people in very different professions who could think effectively and deeply understand topics unrelated to their profession. My life changed for the better when I finally started to develop a deep understanding of math, which empowered me to believe that I could develop a deep understanding of things I encountered. However, this change did not occur in me until my late twenties. My current passion is to empower people to think more effectively early in their lives.
I love this book as it illustrates the importance of developing a great love, appreciation, and understanding of what you study to make significant advances in your field.
Lockwood's passion and beauty for what he studies (grasshoppers) is delightfully shared. If this same passion and beauty for learning were shared by those who help others learn, our world would greatly benefit.
Grasshopper Dreaming is a collection of first-person musings about the ethical and philosophical implications of the author's work as an entomologist who specializes in grasshoppers and pest control. Lockwood deftly explores the moral implications of his work and speculates on about the actual relationship between "pests" and humanity if we consider all living creatures to have value in and of themselves, regardless of their usefulness or inconvenience for us. The author, self-described as "a hired assassin for agriculture," offers readers a rich account of the sometimes painful, often odd, occasionally funny, and invariably complex realizations that come out of balancing…
Philosophy’s core questions have always obsessed me: What is real? What makes life worth living? Can knowledge be made secure? In graduate school at the University of Virginia I was drawn to mathematically formalized approaches to such questions, especially those of C. S. Peirce and Alain Badiou. More recently, alongside colleagues at Endicott College’s Center for Diagrammatic and Computational Philosophy and GCAS College Dublin I have explored applications of diagrammatic logic, category theory, game theory, and homotopy type theory to such problems as abductive inference and artificial intelligence. Philosophers committed to the perennial questions have much to gain today from studying the new methods and results of contemporary mathematics.
The Univalent Foundations program in foundations of mathematics launched by Voevodsky and others in the past decade and a half has contributed to a promising new paradigm unifying computation, mathematics, logic, and proof theory.
Understanding the core elements of this research program, Homotopy Type Theory, is essential for contemporary philosophers who want to engage directly with current developments in mathematics and computer science.
Corfield is a well-established name in philosophy of mathematics, and this book is the best introduction to Homotopy Type Theory for philosophers.
Working within themes and problematics that will be familiar to philosophers with a basic background in logic, Corfield covers the elementary constructions of homotopy types from a logical point of view and provides plenty of provocative suggestions for how these formal tools might reinvigorate philosophical research today.
"The old logic put thought in fetters, while the new logic gives it wings."
For the past century, philosophers working in the tradition of Bertrand Russell - who promised to revolutionise philosophy by introducing the 'new logic' of Frege and Peano - have employed predicate logic as their formal language of choice. In this book, Dr David Corfield presents a comparable revolution with a newly emerging logic - modal homotopy type theory.
Homotopy type theory has recently been developed as a new foundational language for mathematics, with a strong philosophical pedigree. Modal Homotopy Type Theory: The Prospect of a New…
I'm a writer, programmer, traveler and avid reader of interesting things. For the last ten years I've been experimenting to find out how to learn and think better. I don't promise I have all the answers, just a place to start.
Oakley is best known for her co-instruction of Learning How to Learn, one of the most popular Coursera courses that has had millions of students. This book offers a science-driven perspective for how to get good at math. Oakley walks her talk too, specializing in linguistics she only became a professor of engineering later, despite some difficulties with math.
The companion book to COURSERA®'s wildly popular massive open online course "Learning How to Learn"
Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical…
Philosophy’s core questions have always obsessed me: What is real? What makes life worth living? Can knowledge be made secure? In graduate school at the University of Virginia I was drawn to mathematically formalized approaches to such questions, especially those of C. S. Peirce and Alain Badiou. More recently, alongside colleagues at Endicott College’s Center for Diagrammatic and Computational Philosophy and GCAS College Dublin I have explored applications of diagrammatic logic, category theory, game theory, and homotopy type theory to such problems as abductive inference and artificial intelligence. Philosophers committed to the perennial questions have much to gain today from studying the new methods and results of contemporary mathematics.
Far too many math books are written in a style so terse and ungenerous that all but the most mathematically gifted readers hardly have a fair chance of understanding.
On the other hand, the discursive style of much philosophy of mathematics gains readability at the expense of formal rigor. Button and Walsh strike the perfect balance in this exceptionally rich introduction to model theory from a distinctively philosophical perspective.
There’s no getting around the fact that the mathematics of model theory is hard going. But this book works through all the relevant proofs in clear and detailed terms (no lazy “we leave this as an exercise for the reader”), and the authors are always careful to motivate each section with well-chosen philosophical concerns right up front.
Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging uses of model theory have created a highly fragmented literature. On the one hand, many philosophically significant results are found only in mathematics textbooks: these are aimed squarely at mathematicians; they typically presuppose that the reader has a serious background in mathematics; and little clue is given as to their philosophical significance. On the other hand, the philosophical applications of these results are scattered across disconnected pockets of…
I'm a mathematician but an unusual one because I am interested in how mathematics is created and how it is learned. From an early age, I loved mathematics because of the beauty of its concepts and the precision of its organization and reasoning. When I started to do research I realized that things were not so simple. To create something new you had to suspend or go beyond your rational mind for a while. I realized that the learning and creating of math have non-logical features. This was my eureka moment. It turned the conventional wisdom (about what math is and how it is done) on its head.
Reuben Hersh is responsible for a revolution in the way we look at mathematics. His main idea is very simple: mathematics is something that is created by human beings. Isn’t that obvious, you say? Not if you believe that mathematics is there even before life itself, that it is built into the nature of reality in some way. In philosophy, this view is called Platonism. Hersh had the radical but obvious idea that if we want to understand what mathematics is we should look at what mathematicians actually do when they create mathematics. Like all great ideas it can be stated very simply but the implications are enormous. His ideas are what got me started writing my own books about math and science.
This book tackles the important questions which have engaged mathematicians, scientists, and philosophers for thousands of years and which are still being asked today. It does so with clarity and with scholarship born of first-hand experience; a knowledge both of the ideas and of the people who have pronounced on them. The main purpose of the book is to confront philosophical problems: In what sense do mathematical objects exist? How can we have knowledge of them? Why do mathematicians think mathematical entities exist for ever, independent of human action and knowledge? The book proposes an unconventional answer: mathematics has existence…
I'm a mathematician but an unusual one because I am interested in how mathematics is created and how it is learned. From an early age, I loved mathematics because of the beauty of its concepts and the precision of its organization and reasoning. When I started to do research I realized that things were not so simple. To create something new you had to suspend or go beyond your rational mind for a while. I realized that the learning and creating of math have non-logical features. This was my eureka moment. It turned the conventional wisdom (about what math is and how it is done) on its head.
Lots of people have a priori ideas about what mathematics is all about but Lakatos had the brilliant idea of looking at what actually happened. His book is all about one famous theorem: “for all regular polyhedra, V – E + F =2, where V is the number of vertices, E is the number of edges, and F is the number of faces. Think of a cube where V=8, E = 12, F = 6.
We tend to think that mathematics proceeds from a well-defined hypothesis to conclusion. But that is only the finishing step. Along the way the definitions keep changing as do the hypotheses and even the conclusion. Everything is moving! This is what makes doing mathematics so exciting!
Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical discovery and methodology. Lakatos shows that mathematics grows through a process of improvement by attempts at proofs and critiques of these attempts, and his work continues to inspire mathematicians and philosophers aspiring to develop a philosophy of mathematics that accounts for both the static and the dynamic complexity of mathematical practice. With a…
I experienced being a parent as a return to my own childhood. As much as I enjoyed teaching my children, I loved learning from them as well. That got me thinking about how one might recapture the joys and insights of childhood. As a philosopher interested in education, I have long wondered whether we leave childhood behind or somehow carry it with us into old age. I discovered that several important philosophers, such as Aristotle, Augustine, and Rousseau have keen insights about the relation of childhood to adulthood. And the biblical Jesus seems to have been the first person to suggest that adults can learn from children.
What if children are not little adults but a different species? Perhaps children are butterflies who develop into caterpillars? Child psychologist Allision Gopnik asks wonderful questions about human development. She notes that most of us produce our best art and ask our deepest questions (“Why is the sky blue?”) as small children.
Childhood, she says, is our time of basic research; adulthood is the time for practical applications. Like Jean-Jacques Rousseau, she celebrates the unique gifts of childhood, but she does not offer suggestions about how we might recapture those gifts.
In the last decade there has been a revolution in our understanding of the minds of infants and young children. We used to believe that babies were irrational, and that their thinking and experience were limited. Now Alison Gopnik ― a leading psychologist and philosopher, as well as a mother ― explains the cutting-edge scientific and psychological research that has revealed that babies learn more, create more, care more, and experience more than we could ever have imagined. And there is good reason to believe that babies are actually smarter, more thoughtful, and more conscious than adults. In a lively…
