Here are 67 books that Logic fans have personally recommended if you like
Logic.
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I hate nothing more than feeling uncertain about my views on an important topic. That’s why I cherish tools for thought that help me cut through the various confusions to which humans are prone. The sharpest tool we’ve got is modern symbolic logic, as it has been developed since the late 19th century. I’ve loved symbolic logic since I took my first logic class in college. I’ve been teaching Intro Logic for over twenty years at Princeton University, and I’ve published several papers and books that employ logic to try to gain clarity on philosophical issues.
This is a mathematics textbook unlike any other you have encountered before. Remarkably, there are no numbers—only structures, patterns, and arrows.
However, this book is not designed to teach you how to construct proofs. Instead, it offers a fascinating introduction to a new way of thinking mathematically.
In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning students and also to practising mathematical scientists. This book provides a skeleton key that makes explicit some concepts and procedures that are common to all branches of pure and applied mathematics. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by…
The Victorian mansion, Evenmere, is the mechanism that runs the universe.
The lamps must be lit, or the stars die. The clocks must be wound, or Time ceases. The Balance between Order and Chaos must be preserved, or Existence crumbles.
Appointed the Steward of Evenmere, Carter Anderson must learn the…
I hate nothing more than feeling uncertain about my views on an important topic. That’s why I cherish tools for thought that help me cut through the various confusions to which humans are prone. The sharpest tool we’ve got is modern symbolic logic, as it has been developed since the late 19th century. I’ve loved symbolic logic since I took my first logic class in college. I’ve been teaching Intro Logic for over twenty years at Princeton University, and I’ve published several papers and books that employ logic to try to gain clarity on philosophical issues.
One of my teachers once described this as "the best book with the most misleading title." Despite the title, it’s not about physics—it’s about the symbolic reasoning that underpins theoretical physics.
If you’re looking for a fast-paced overview of the mathematical tools used in cutting-edge physics, this book is unparalleled.
Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the "whys" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics, and astrophysics.
I hate nothing more than feeling uncertain about my views on an important topic. That’s why I cherish tools for thought that help me cut through the various confusions to which humans are prone. The sharpest tool we’ve got is modern symbolic logic, as it has been developed since the late 19th century. I’ve loved symbolic logic since I took my first logic class in college. I’ve been teaching Intro Logic for over twenty years at Princeton University, and I’ve published several papers and books that employ logic to try to gain clarity on philosophical issues.
Although I’m not a programmer, I couldn’t leave programming—a quintessential example of symbolic reasoning—off this list. For someone like me, with a background in mathematics and philosophy, this book provides a concrete look at how abstract reasoning can be applied in programming.
For programmers, it’s an engaging introduction to category theory. This is a brilliant example of interdisciplinary thinking at its best.
The Guardian of the Palace is the first novel in a modern fantasy series set in a New York City where magic is real—but hidden, suppressed, and dangerous when exposed.
When an ancient magic begins to leak into the world, a small group of unlikely allies is forced to act…
Most of my books (101 Philosophy Problems, Wittgenstein's Beetle, Critical Thinking for Dummies, and so on) are on thinking skills, in the broad sense. However, I'm always a bit uncomfortable when I'm presented as an expert on thinking, as people tend to imagine I must have some brainy strategies for thinking better when my interest is also in the ways we "think badly." Because logic is really a blunt tool, compared to the brilliant insights that come with intuition. Yet how do you train your intuition? So the books I've chosen here are all ones that I've found don't so much tell you how to think, but actually get you thinking. And that's always been my aim in my books too.
Raymond Smullyan is a riddler, a puzzler, well-known for various Knights and Knaves puzzles, a type of logic game where some characters can only answer questions truthfully, and others only falsely. However, I recommend this book as here he offers not only logical tricks but many insights too. One section offers the World's shortest explanation of Gödel's theorem which is a magnificent achievement but frankly, reminds me why I like long explanations sometimes.
Basically, this is an examination of boolean logic, which is (rather boringly) a branch of algebra in which all operations are either true or false, and relationships are expressed with logical operators such as and, or, or not. So it’s serious stuff, but also pretty funny along the way.
"The most original, most profound, and most humorous collection of recreational logic and math problems ever written." — Martin Gardner, Scientific American "The value of the book lies in the wealth of ingenious puzzles. They afford amusement, vigorous exercise, and instruction." — Willard Van Orman Quine, The New York Times Book Review If you're intrigued by puzzles and paradoxes, these 200 mind-bending logic puzzles, riddles, and diversions will thrill you with challenges to your powers of reason and common sense. Raymond M. Smullyan — a celebrated mathematician, logician, magician, and author — presents a logical labyrinth of more than 200…
Apart from my professional expertise as a philosopher, I have directly observed science by working as a professional researcher in Physics and Astronomy. In any field, either arts, science, humanities, literature,... I observe the same thing: decline, ugliness, lack of spirit, lack of great intellectual achievements, and stupidity. Of course, we have technology, medicine, engineering, the Internet, and material things… and they are better than ever, but our culture and spirit are dying. Science is part of this culture, which is also in decadence, and working as a scientist and reading Spengler is a good combination to realize it.
There is a criticism of science in the discourses of philosophers of science, but it is usually detached from contact with the real problems that scientists worry about. There are some valuable rare exceptions, such as this work by Gillies.
I like this text because it enters into the real sociological problems of science nowadays beyond abstract epistemological theories. For instance, it enters into detail on the reasons why academics move into administration and management as a way to increase their professional status and in order to hide their lack of new ideas and boring research work.
This book presents detailed criticisms of existing systems for organising research, and outlines a new approach based on different principles. Part 1 criticizes the research assessment exercise (RAE) which has been used in the UK from 1986 to 2008. It is argued that the RAE is both very costly, and likely to reduce the quality of research produced. The UK government has decided that, from 2009, the RAE should be replaced by a system based on metrics. In Part 2 this system is criticized and it is argued that it is certainly no better, and probably worse, than the RAE.…
I started programming in high school and wrote software in many domains for 30 years, from the early ARPA-net to massive credit card software. I wrote a FORTRAN compiler with one assistant in a year. I got hassled to do proper project management. Nightmare. It was all about inflated expectations instead of moving fast and winning. Then in 25 years of venture capital investing, I learned from many young companies how the little startups built quickly and well things that giants like Google literally could not get done. This book and my others spell out what I learned from the little guys who beat the giants.
Nagel’s book is the most understandable explanation I’ve found about one of the most cosmically seminal math proofs: Godel’s incompleteness theorem.
It takes the idea of recursion and self-reference to the ultimate conclusion about truth, understanding, and boundaries of existence. This may sound hootie-tootie, but think of the sequence of abstraction in math: arithmetic, algebra, calculus, etc.
Once you add in recursion (self-reference), you’ve got the most important concepts underlying true understanding and productivity in software – something never discussed in computer science, and certainly not in practical programming.
Think about the so-called Von Neumann computer architecture, which underlies all modern computers – instructions are data, stored in the same place as ordinary data, and some instructions write data that are instructions. This is recursion taken to the next level.
An accessible explanation of Kurt Goedel's groundbreaking work in mathematical logic
In 1931 Kurt Goedel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Goedel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences-perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."
However, few…
Aury and Scott travel to the Finger Lakes in New York’s wine country to get to the bottom of the mysterious happenings at the Songscape Winery. Disturbed furniture and curious noises are one thing, but when a customer winds up dead, it’s time to dig into the details and see…
I am Associate Professor of Philosophy at the State University of New York at Brockport. I have been teaching and writing philosophy for over 20 years. I have published articles in professional journals on a wide range of subjects, from epistemology to philosophy of religion and political philosophy. I think that philosophy, at its best, is a good conversation, in which people give reasons for their views, and listen to others give reasons for theirs. That’s the best way for human beings to think about philosophical questions. That’s why I love philosophical dialogues—they do philosophy in a way that embodies what philosophy is, at its very best.
This book grabs your attention right from the start. Four people are on a train, and one of them believes in witches. That’s crazy, right? (The witches part, not the train part.) But can you prove that he is wrong? One character trusts science, and only science. Another is a relativist, who believes that each person’s opinion is “true for them.” And then there is the annoying young philosopher, who is just as irritating as she is logical. This is a great book about truth, knowledge, fallibility, and tolerance. Timothy Williamson is one of the best philosophers alive today, and yet this book is accessible and engaging for anyone who wants to think about fundamental questions. The characters are compelling, and the writing is witty and fun.
Four people with radically different outlooks on the world meet on a train and start talking about what they believe. Their conversation varies from cool logical reasoning to heated personal confrontation. Each starts off convinced that he or she is right, but then doubts creep in.
In a tradition going back to Plato, Timothy Williamson uses a fictional conversation to explore questions about truth and falsity, and knowledge and belief. Is truth always relative to a point of view? Is every opinion fallible? Such ideas have been used to combat dogmatism and intolerance, but are they compatible with taking each…
I'm an internationally recognised opinion leader in sustainable fashion. My career started as a designer with the pioneering upcycling label From Somewhere, which I launched in 1997. My label’s designer collaborations include collections for Jigsaw, Speedo, and 4 best-selling capsule collections for Topshop. In 2006, I co-founded the British Fashion Council Initiative Estethica at London Fashion Week, which I curated until 2014. In 2013 I co-founded Fashion Revolution, a global campaign with participation in over 90 countries. I'm a regular keynote speaker and mentor, and Associate Visiting Professor at Middlesex University. My first book Loved Clothes Last is published by Penguin Life, Corbaccio Editore in Italy and in France by Edition Marabou.
Exploring an earth-centric view of business for the future, envisioning regenerative systems where fashion can support, rather than deplete our planet’s finite resources, this book challenges the concept of growth and offers real alternatives.
This book feels challenging, but is rooted in common sense, it may seem out there and unrealistic, but being about Earth it actually makes it feel not just possible but eminently doable.
Having majored in both philosophy and physics as an undergraduate, I specialized in the philosophy of science in graduate school–with a focus on the possibility of a “logic of scientific discovery.” Most philosophers of science have been skeptical about such a sub-discipline, restricting their theories of scientific method to the justification of already-formulated hypotheses. Others (including myself) have held that there is also a logic to the generation of hypotheses.
Hanson’s book was received as a breath of fresh air–establishing the important distinction between what came to be called the “context of discovery” and the “context of justification.”
While the former was often relegated to the psychological phenomenon of the “aha” moment of insight, leaving the logic to the justifications of reasoning, Hanson’s treatment made philosophers of science think twice about the “intelligence” and the importance of these often spontaneous insights.
Philosophers of science have given considerable attention to the logic of completed scientific systems. In this 1958 book, Professor Hanson turns to an equally important but comparatively neglected subject, the philosophical aspects of research and discovery. He shows that there is a logical pattern in finding theories as much as in using established theories to make deductions and predictions, and he sets out the features of this pattern with the help of striking examples in the history of science.
Magical realism meets the magic of Christmas in this mix of Jewish, New Testament, and Santa stories–all reenacted in an urban psychiatric hospital!
On locked ward 5C4, Josh, a patient with many similarities to Jesus, is hospitalized concurrently with Nick, a patient with many similarities to Santa. The two argue…
Most of my books (101 Philosophy Problems, Wittgenstein's Beetle, Critical Thinking for Dummies, and so on) are on thinking skills, in the broad sense. However, I'm always a bit uncomfortable when I'm presented as an expert on thinking, as people tend to imagine I must have some brainy strategies for thinking better when my interest is also in the ways we "think badly." Because logic is really a blunt tool, compared to the brilliant insights that come with intuition. Yet how do you train your intuition? So the books I've chosen here are all ones that I've found don't so much tell you how to think, but actually get you thinking. And that's always been my aim in my books too.
This is the book that got me thinking about thought experiments. It really opened up my eyes to a whole new way of thinking – mainly by introducing me to the wonderfully playful, indeed modern style of writing that Galileo used to present his groundbreaking scientific theories – way back in seventeenth-century Italy!
Sorenson is a philosophy professor and goes on a bit, but his book was also groundbreaking in a way. My own books owe him a debt and for scholarly types, he also suggests a general theory "of"thought experiments: meaning what they are, how they work, and what is good - and bad - about them.
In this book, Roy Sorensen presents the first general theory of the thought experiment. He analyses a wide variety of thought experiments, ranging from aesthetics to zoology, and explores what thought experiments are, how they work, and what their positive and negative aspects are. Sorensen also sets his theory within an evolutionary framework and integrates recent advances in experimental psychology and the history of science.
