48 books like Gödel's Proof

This book profoundly influenced my thinking process, combining the worlds of mathematics, art, and music. I was captivated by how the book explores the deep connections between Gödel’s incompleteness theorems, Escher’s art, and Bach’s art of counterpoint.

The book’s puzzles and thought experiments pushed me to think more abstractly and critically. Despite being dense, I found it incredibly rewarding and eye-opening. I recommend this book to anyone interested in logic, creativity, and the nature of human thought. It’s a masterpiece!

I learned my first programming language as a kid, and Basic always felt like a beginner’s language. It wasn’t until I started writing C that I felt in control of the machine. This book is a classic and was on every C-programmer’s shelf in the 80s and 90s. It isn’t the easiest read but is remarkably comprehensive for a relatively thin volume. The fact that it has been in print for over 30 years tells you something about its staying power.

Nowadays, I tend to code in higher level languages, but every once and a while I dip down, getting closer to the bare metal, and brush this baby off. It is probably one of my most well-worn books.

This opened up new insights into my spiritual journey. Dr. Tiller presents amazing research that shows that when there is a link between subtle energy and ordinary physical space, the physical properties of that space are changed, such that disorder decreases, rather than increases. He has done experiments in which experienced meditators are asked to store an intention in a bit of circuitry that is not connected to anything, such that the pH in water in another laboratory that the circuitry is placed near will increase by one point. This happens, and the experiment has been replicated many times. This is already amazing enough, but the entropy (disorder) in the laboratory decreases, which is contrary to the 2nd law of thermodynamics in ordinary physical space. My inspiration from this research was that any time we bring about a connection between subtle energy and our environment, new possibilities become available.

This book contains numerous research studies on subtle energy, energy medicine, and new technologies to measure phenomena that have generally been thought of as outside of the realm of Western science. What I learned from the research in this book is that it is possible to conclusively prove that the world we live in is much more interconnected than we realize. Theoretical frameworks, methodologies, and explanations are available that challenge our usual notions of time, space, and non-locality. Reading this book will show any open-minded readers that a dualistic frame of reference will never enable us to understand the universe that each of us is an integral part of.

This book spoke to me as a scholar of systems theory and due to my upbringing in Buddhist culture. Macy discusses how core teachings of interdependence in Buddhism and the mutual causation concept of general systems theory are similar. This book emphasizes the interdependent relationships among different people, things, societies, and ecosystems as mutually affecting and not unidirectional, leading to and encouraging collective action toward mutual benefits. I also love this book because it can introduce readers to philosophical thoughts that are other than Western, which we tend to be bombarded with in academic publications and education in the US. 

This book was very inspiring to me, and reinforces the idea that each of us is a unique and integral part of an evolving universe. The future is not fixed, and as we awaken to our higher possibilities, what becomes possible for everything is augmented. We live in a purpose-driven universe, and not the one described for centuries as a clockwork universe. 

This is the definitive book series on algorithms and the core of computer programming.

Unlike most such books, Knuth is a real programmer, deep into the details of the craft, to the point of creating his own assembler language and typesetting generation system. It’s partly the substance of the algorithms and their analysis, but even more is the way he models a way of thinking about and solving complexity that makes this a must-read series.

Attending Harvard College gave me the opportunity to collaborate with great programmers in creating the early ARPA-net. But the best course I took was on compiler theory and construction, using an early draft of the material in this book.

Of course I learned how to build a compiler, which I did as my first job after graduating. But more important, I learned that a well-built compiler is a small amount of language-independent code with two major parts.

First the input part that realizes the content of the lexical and grammatical metadata, like today’s LEX and YACC, to turn the program being compiled into a semantic model.

Second the code generator that reads the semantic model and, based on generative model metadata, turns the semantics of the program being compiled to whatever form you want, whether executable code, assembler language, byte code or whatever.

This approach, while indispensable for compilers and… show more.

Gödel (1906-1978) is, like Newton, an unpromising subject for biography. He was antisocial and mentally unstable. His obsessive fear of being poisoned led eventually to him starving himself to death. 

Rebecca Goldstein is a professor of philosophy with a deep interest in logic and the foundations of mathematical truth – the applecart that Gödel overturned in 1931 with his tremendous paper on the incompleteness of axiomatic systems. She is also an experienced novelist. This combination makes her just the right person to construct a gripping story out of Gödel’s weirdness and world-shaking importance.

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.