100 books like The Nothing That is

I find this book outstanding for its various rare and extraordinary features: its expert coverage of the cleverly termed subject of ‘information overload’ in historical and modern contexts, the information explosion of Renaissance Europe, and the information revolution of our own time. 

It contains engaging accounts of knowledge collection and management in the comparative context of experiences from premodern Chinese, Byzantine, Islamic, and European cultures; fascinating illustrations capturing the book’s rich content;  and a wealth of primary and secondary sources, manuscripts and printed works, further enhanced by a comprehensive Index.

But above all, it is the book’s historically sensitive perspective that makes it literally ‘outstanding’: one not identifying a single factor, whether a technology, an institution, or cultural tradition, in explaining the nature and fate of our common heritage of knowledge transmission. 

I find this book the most engaging and innovative among several others by the same bestselling author for its novel approach to historical writing.

In her signature style of explaining key scientific concepts in accessible and enjoyable terms, the author integrates into one of the most fascinating histories of the so-called Scientific Revolution of early modern Europe and the Sun-centered universe proposed by Nicolas Copernicus and published by his pupil Rheticus, a two-act play.

Set as an imaginary dialogue between them next to a few others, mostly in their own terms, is an effective way of retelling that fascinating story.

I find this book fascinating and pioneering in more than one way. Not only does it uncover the historical development of the important science of optics in terms of theories of vision, the predominant form of the subject in premodern times.

But the book also covers key concepts and models in visual theory starting from ancient and medieval periods, including the extramission models of ancient Greek mathematicians and physicians, the intromission models of medieval Islamic and European natural philosophers, and the critical combination of those models and disciplines in generating dependent breakthroughs.

This is among a few monographs devoted to the subject that successfully draw on our common heritage in documenting and explaining the course of the field’s transmission and transformation. 

I find this book valuable for its humanized approach to the history of science and its emphasis on the human response to major conceptual developments.

The book is rich with instructive and inviting treatments of major developments within the astronomical traditions in particular, from critical episodes within Greek, Babylonian, medieval, and early modern traditions, to decisive moments leading to what it termed the "Copernican Revolution."

Despite a limited coverage of pre-Copernican developments, the book’s stories around humans adopting and abandoning scientific concepts and models have wider impacts than any specific case, on our understanding of how knowledge develops and transforms. 

This is a beautiful book filled with glossy color photos, that would be a lovely gift for any girl or woman interested in mathematics, or really, any human.

Inside the book are the “rebel women” who have specialized in mathematics (and yes it seems you still need to be a rebel to succeed in this male-dominated field). I learned so much about the mathematics the women studied and created, as well as the ways they battled for recognition to be able to contribute to mathematics.

The book is filled with powerful and creative mathematics produced by inspirational women.

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.

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!

This is another book about the new research into how babies think. I am excited about this research because of its implications for how people learn mathematics and how researchers create math. This book taught me something important about how we all think. Gopnik distinguishes between what she calls flashlight consciousness and lantern consciousness. Flashlight is the way adults think. You focus on one thing at a time and give it your full attention. But babies, she claims, use their minds differently. Their lantern consciousness is unfocused and is aware of the big picture all at once.  

So what happens to lantern consciousness when you grow up? The answer is that creative individuals use it and alternate between lantern and flashlight consciousness. When we are creating or learning something new, we have to drop back to lantern consciousness. Logic comes from flashlight consciousness and, by itself, will never produce anything… show more.

Leaving me equally tickled as it did in awe, Flatland is easily one of my favorite books of all time.

Delving into concepts quite difficult to think about, let alone explain in such a delightful way, it expanded my mind into not only a better understanding of ‘dimensions’ but also the possibility, and even, the probability, that there is much more in existence than our rather limited little human brains can comprehend.

As weird as it is wonderful, I found myself stopping at various points to either laugh or to try to explain to someone else (to their annoyance I’m sure!) the profound details it explained to me. And when it was all over I was left humbled, and pondered what greater beings there may be all around me, that I simply cannot see.

Readers of this list may be surprised that there are no books by Benoit Mandelbrot, the father of fractals. I found his books fascinating but frustrating. Feder’s book, by contrast, was readable and usable.

This book taught me how to do fractal analysis. While Feder’s book has nothing to do with markets, it has everything to do with applications. While I reuse much of Feder’s methodology in my books, readers will find it useful to see other practical applications of fractal analysis.