Not entirely sure if this is the best way to learn linear algebra for the first time, but definitely worth reading if you're interested in pure maths Not entirely sure if this is the best way to learn linear algebra for the first time, but definitely worth reading if you're interested in pure maths or theoretical computer science (especially ML and AI). Should also note that the book contains some beautiful proofs....more
The material on the foundations of mathematics, computing, physics, and neuroscience is very very very good. Not so sure about the material on minds aThe material on the foundations of mathematics, computing, physics, and neuroscience is very very very good. Not so sure about the material on minds and biology though... Will have to read his "The Road to Reality" someday....more
A very cool book with some wonderful stories, thought experiments, and arguments. You will encounter Borges, Lem, Nagel, Smullyan, Hofstadter, DennettA very cool book with some wonderful stories, thought experiments, and arguments. You will encounter Borges, Lem, Nagel, Smullyan, Hofstadter, Dennett, and many others! I especially liked Dennett's "Where am I?" and Hofstader's "Einstein's Brain"....more
A friendly introduction to the work of Gödel. Should be complimented with Hofstadter's GEB for best results.A friendly introduction to the work of Gödel. Should be complimented with Hofstadter's GEB for best results....more
One of my all time favourites. The refutation of Chalmers' zombie argument was extremely amusing, as were the puns on Gödel, Russell, and Whitehead inOne of my all time favourites. The refutation of Chalmers' zombie argument was extremely amusing, as were the puns on Gödel, Russell, and Whitehead in the dialogues (that's right, dialogues!). Heart and mind expanding....more
I don't really know if I should rate this book... All I can say is that it completely changed my life. Thank you Mr. Hofstadter!I don't really know if I should rate this book... All I can say is that it completely changed my life. Thank you Mr. Hofstadter!...more
Worth reading just for book 1, which climaxes in an absolutely delightful proof of Pythagoras' Theorem! (Will need to return to the rest!)
And here's oWorth reading just for book 1, which climaxes in an absolutely delightful proof of Pythagoras' Theorem! (Will need to return to the rest!)
And here's old Russell on this wonderful book: "At the age of eleven, I began Euclid, with my brother as tutor. This was one of the great events of my life, as dazzling as first love. I had not imagined there was anything so delicious in the world. From that moment until I was thirty-eight, mathematics was my chief interest and my chief source of happiness."...more