Mathematica

A Secret World of Intuition and Curiosity

By: David Bessis, Kevin Frey - translator

Narrated by: Mike Lenz

Length: 9 hrs and 12 mins

Publisher's summary

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case. Like Albert Einstein, who famously claimed to have "no special talent," they said that they had accomplished what they did using ordinary human doubts, weaknesses, curiosity, and imagination.

David Bessis guides us on an illuminating path toward deeper mathematical comprehension, reconnecting us with the mental plasticity we experienced as children. With simple, concrete examples, Bessis shows how mathematical comprehension is integral to the great learning milestones of life, such as learning to see, to speak, to walk, and to eat with a spoon.

Focusing on the deeply human roots of mathematics, Bessis dispels the myths of mathematical genius. He offers an engaging initiation into the experience of math not as a series of discouragingly incomprehensible logic problems but as a physical activity akin to yoga, meditation, or a martial art. This perspective will change the way you think not only about math but also about intelligence, intuition, and everything that goes on inside your head.

©2022 Éditions du Seuil; English translation copyright 2024 by Kevin Frey (P)2024 Tantor

Great General Creativity Guide (w' math as a lens)

You will get A LOT from this book whether or not you are into math. I'm not mathy. I'm a creative writer, artist, karaoke person & I love learning languages. I picked this up because of a thread I saw online, on a whim, because something in my gut said, "you should take a look at this." And then I listened to the introduction, and I was like, "yeah, this seems good and the world is a dumpster fire so..."

Then, to my delight, I discovered in this one of the best guides to imagination and general creativity I've ever read. I've recommended the book to my friends, especially the artistic types, who were giving me some side-eye until I went into some of the details (which I'll do below).

What you'll get out of this book:

1. Intuition is not just some magical thing that you've either got or your don't. You can train it by thinking through things both creatively and with logic. You can make it BETTER! Because it's your brain! And you'll get some concrete approaches on how to do this.

2. Math people are really good at creative visualization (and other creative sensory imagination -- not just pictures). Not just naturally, but because they've trained this skill doing lots of other seemingly random imaginative exercise. Using imagination, you can calculate stuff without having to know a bunch of formulas. (I could go into more detail, but I'm not giving away the whole book because it's valuable to read/listen to it and try his exercises.)

3. You can then apply these imaginative techniques and to improving your skills in all kinds of seemingly unrelated areas. The way he talks about feeling out formulas, for example, reminds me very much of writing and feeling out the shape of a story. I also directly see how what he's talking in creative visualization will make you better at drawing from the imagination. I can draw from reference, but I have a hard time drawing from imagination. I just assumed I had a bad visual imagination, but never had the (seemingly obvious but I wasn't thinking of it) revelation that I could just focus on improving my visual imagination and memory... duh.

I've actually gained quite a bit more from this book too in regards to thinking about how I think and how I can think better. (Circular much, lol!) But I'm not going to give everything away.

Tl;dr: Whether or not you're interested in improving your math skills (it was fun to improve some of mine but a that's not why I got this book), Mathematica is a winner if you're interested in learning more about how to use and improve your imagination. And it's fun!

Notes for audio: The figures are not included though I hope they are working on a PDF for this audio. Here's what jammed me up and how I fixed it: The icosahedron is basically a 20 sided di (think D&D d20). The super one has a picture on Wikipedia.

For the visualization for adding up to 100 whole numbers, it's helpful to think of it as six sided dice (d6) instead of cubes which felt harder to visualize for me, idk why. Start with doing it to three first, then four, then five so you understand the nature of the question. The you will get the rest of it).

There are some good videos on YouTube which will walk you through the infinity set and different infinity sizing stuff. I recommend Dr. Trefor Bazett's two videos on this from his Cool Math series. They came up when I looked on YouTube about different size infinities, so just look him up with infinity size and you'll probably get them. The videos weren't long and quite a bit of fun.

Still working on the knot thing, but I'll be coming back to it when I find better reference.

Hope this helps! The important thing is to get the process down more than the results, So don't stress it too much.