What Makes Music, Math, and Art a Must-Read for IMO Gold Medalists?

  • Thread starter Thread starter PrudensOptimus
  • Start date Start date
  • Tags Tags
    Gold
AI Thread Summary
The book "Gödel, Escher, Bach: An Eternal Golden Braid" is favored by IMO Gold Medalists for its dense, entertaining exploration of complex concepts like infinity and self-reference through the works of Escher, Bach, and Gödel. It serves as a model for understanding brain function, using creative examples like the anthill and the palindrome dialogue, Crab Canon. Readers are encouraged to digest each chapter slowly to fully grasp the intricate ideas presented. The dialogues, while sometimes seeming pointless, ultimately reveal deeper structural insights. Overall, the book is a challenging yet rewarding intellectual exercise that intertwines music, math, and art through the lens of strange loops.
PrudensOptimus
Messages
641
Reaction score
0
Why was this book among the favorite books of IMO Gold Medalists?
 
Last edited by a moderator:
Mathematics news on Phys.org
I am currently working on a re-read of GEB, first time was ~20yrs ago. It is a challenging read, it is very information dense, but also very intertaining.

Take a deep breath and dive in.
 
So why do IMO guys like this book again? I'm on like page 22, so far I have understood that it's about infinity works of Escher and Bach and Godel.

Escher's paintings are amazing, that waterfull, bach's whatever music piece i didn't understand, and Godel's weird proposal...
 
Who or what is IMO? I can't tell you why they like it, I can only tell you why I like it.

It remains my best model of how the brain works, he explains this by using an anthill as an example.

Then there is the palindrome dialog called Crab Canon, 2 pages of dialog which reads the same forwards and BACKWARDS.

This book is full of information presented in a very creative fashion. I Would recommend reading it slowly, digesting each chapter before starting the next. If you have interest in strange loops, this book is required reading.
 
It is a challenging intellectual exercise to read GEB. Some of his points are very interesting, and it presents Godel's theorem so that it is relatively easy to understand the proof as opposed to just the theorem.

Sometimes the diagogues between tortoise and achilles seem a bit pointless, but then something clicks and you can see the structure and the point the author is making.
 
It is fascinating how the concepts of the strange loop as presented in Music, Math and Art are blended together in a work which becomes an example of the strange loop in litureature. This is all about self referential statements in many different forms.

It is a challenging read, but worth the effort.
 
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...

Similar threads

Back
Top