The most recommended logic books

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.

The Pyramid Principle is about problem-solving and communication, two areas completely decisive for anyone who has the ambition to get the most out of their personal and professional lives.

It offers practical advice on how to organize your ideas and present them in a clear and persuasive manner. It provides a framework for effective problem-solving communication that can be applied to a variety of contexts, from business writing to presentations and speeches.

Nina Allan is one the UK’s greatest science fiction writers working today, and yet often, her work is barely speculative at all. Conquest concerns a missing conspiracy theorist who is obsessed with the possibility of an upcoming war against aliens. Yet, it’s structured far more like a detective story than a classic science fiction novel – though the complete SF novella buried with the book is another story.

Allan’s interspersing of academic texts further blurs the line between fact and fiction.

This is a book of poetry that will warm any cat lover’s heart – even those that would not normally read a book of poetry. The verses are deliciously insightful and will have many cat-lovers smiling at themselves and their relationships with their cats. It’s a lovely collection of cat lore, logic, and observations.

Fredric Jameson’s Postmodernism, or The Cultural Logic of Late Capitalism was one of the first accounts of “postmodern aesthetics” and why it continues to matter today.

Circa 1990, Jameson showed how a new age of high-tech and transnational corporations fundamentally transformed how we create and experience art, design, and aesthetics.

This book was one of the first to take critical thinking beyond a purely academic focus on informal logic, so that it deals with ‘real-world’ material (even including cartoon strips).

As the author explains, he was concerned that, though his students could learn from informal logic books how to identify and label errors in reasoning, they were unable to transfer this understanding to their own writing and to everyday material.

There are many useful exercises after each chapter, enabling the reader to apply their understanding of the content. The author hopes that the book is both rigorous and accessible, and this hope is indeed vindicated.

Davies offers an exceptionally clear and useful definition of neoliberalism: “the disenchantment of politics by economics.” But what really makes this book valuable is the research he has conducted on the office culture of the government officials who are actually implementing neoliberal policy—how they think, what they believe they’re achieving, and how they sometimes deviate from the letter of neoliberal theory while remaining true to its spirit.

I’m a mathematician. Mathematicians start with basic ideas—axioms and definitions—and use logic to deduce magical things called theorems. When I decided I wanted to write fiction, I looked for books on writing. I found lots of good books, but they left my mathematical brain unsatisfied. Then I found Gardner’s book. Gardner’s genius is that he provides a theory of fiction, a framework for understanding what makes writing come alive. Reading Gardner, I saw at once the difference between, say, Edgar Allen Poe and Stephen King. They’re both geniuses, to be sure, but King’s writing draws you into his fictional worlds in ways Poe’s never does. The underlying theory, the fictional dream, makes all the difference. The fictional dream is the secret to compelling writing.

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.

Mathematics requires accurate calculation, and students sometimes think that getting the right answer is enough. But mathematics is also about valid logical arguments, and the demand for clear communication increases through an undergraduate degree. Students, therefore, need to learn to write professionally, with attention to general issues like good grammar, and mathematics-specific issues like accuracy in notation, precision in logical language, and structure in extended arguments. Vivaldi’s book has a great many examples and exercises, and students could benefit from studying it systematically or from dipping into it occasionally and reflecting on small ways to improve.