100 books like The Palliative Society

I’m interested in how mathematicians create mathematics but this book made me realize that learning mathematics is also a form of creativity. Each of us has created our understanding of mathematics as we were growing up. We are all creative!  

What is amazing about this book is that even children as young as six months possess rudimentary mathematical concepts, in particular, the concept of number. (Actually, Carey shows children have two distinct ways of thinking about numbers). The concept of number is built-in. That’s amazing to me! The mastery of counting numbers, 1,2,3,… is a great creative leap in the development of the child. This leap is followed by a series of further amazing accomplishments, for example, the insight that a fraction like 2/3, is a completely new kind of number (and not just a problem in division). How do kids manage to accomplish such radical changes in their concept… show more.

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.

A modern classic! A fascinating analysis of arts, culture, literature, and social and urban change. A breathtaking read of Goethe’s Faust to Dostoyevsky’s Notes from the Underground and a sharp analysis of what Hausmann’s Parisian boulevards have to do with the prospects of pre-revolutionary St. Petersburg and the highways of mid-century New York. Fantastic chapters on Karl Marx (from whom the title of the book is borrowed) and Charles Baudelaire. Written with poetic perfection!

Yuri Slezkine’s classic book on the history of Russian Jewry is not a work of migration history strictly speaking. But there is no Jewish history without migration, and Slezkine shows us, among many other things, how Russian Jews ended up in the US, Israel, and the Soviet Union, representing three ideological choices—liberalism, nationalism, and communism.

I read this book back in university, and few works, if any, have had such a profound impact on my historical thinking.

Despite the Covid pandemic, the two biggest threats to human society are political strife and degradation of its food supply through climate change and population explosion. Darren Qualman provides an easily understood discussion of the latter. He starts with the simple closed-loop plant/animal cycle powered by the sun’s energy, which existed up until about 300 years ago. Then, explains how the discovery of coal and oil, invention of the tractor, and development of a process to convert oil into fertilizer changed all that.

As a teenager, I was taught that the population explosion would cause mass starvation in the near future. Darren explains how force-feeding plants and domesticated animals, now using over 400 million tons of oil-based fertilizer each year, forestalled that. But combined with oil, gas, and coal burned today, human society is living with a time-bomb unless we learn to live with energy now available from the sun.

I value this book because, since joining the United Kingdom in 1707, much of Scottish history has been disregarded. Even though I studied history in my Scottish school to a high level, the details of our past were replaced with English history. Well-known radio personality, Billy Kay, brings together a wealth of information about Scotland’s outside influence through the ages. Scotland was one of the first countries to see the benefit of an educated working class, and in the countries to which they emigrated, their learning stood them in good stead. Scottish culture, over hundreds of years before it was incorporated into the United Kingdom, had well-established cultural centers throughout Europe and even as far as Russia.

Brook uses artifacts portrayed in six paintings by the Dutch Golden Age painter Johannes Vermeer to show how, several centuries before the World Wide Web, the local and the global were intimately connected. He surprises his readers by showing that people and goods and ideas moved around the 17th-century world in ways that – rather like us – their ancestors would have considered impossible. Perhaps because Brook is a Canadian historian of China who is familiar with Europe, he provides a truly global history and almost every page contains a “gee whiz” fact. I also love the idea that “Every picture tells a story.”

I like to look at the big picture. This book’s picture is huge: it explains three waves of human civilization, from agriculture and land ownership, to centralization and mass manufacturing, to distributed and custom everything—the wave we are in now. It was originally published in 1980 and predicted our current culture and technology with astonishing accuracy. I, and many entrepreneurs of the time, tried to use those predictions to guide our businesses, and many, like Amazon, succeeded as a result. Are there still more third wave things to invent? Yes—think of how streaming video channels are just now taking over from cable and broadcast, not to mention movie theatres. Will this help you invent the next big thing? Maybe. And what will the fourth wave be?