I want the entirety of mathematics indellably etched into my mental model. I want to see the math behind everything in reality the way Neo saw the matrix code in the walls of the grubby apartment buildings.
What if that just drives you insane due to the problem described by Gödel’s incompleteness theorem? Maybe you’d become susceptible to someone telling you “this statement is false”.
Ideally, I wouldn’t have to see the proofs for everything, just recognize the observable math.
The problem with the “This statement is false” could simply be coupled by something akin to imaginary numbers. Paradoxes can be described mathematically without being solvable.
Oh, brother, no. Godel’s incompleteness theorem is a problem much bigger than imaginary numbers. Imaginary numbers are just something we initially didn’t account for but we can (and did) fix. Godel’s theorem means everything may just be broken and we just don’t know.
11:15, restate my assumptions: 1. Mathematics is the language of nature. 2. Everything around us can be represented and understood through numbers. 3. If you graph these numbers, patterns emerge. Therefore: There are patterns everywhere in nature.
I want the entirety of mathematics indellably etched into my mental model. I want to see the math behind everything in reality the way Neo saw the matrix code in the walls of the grubby apartment buildings.
What if that just drives you insane due to the problem described by Gödel’s incompleteness theorem? Maybe you’d become susceptible to someone telling you “this statement is false”.
Ideally, I wouldn’t have to see the proofs for everything, just recognize the observable math.
The problem with the “This statement is false” could simply be coupled by something akin to imaginary numbers. Paradoxes can be described mathematically without being solvable.
Oh, brother, no. Godel’s incompleteness theorem is a problem much bigger than imaginary numbers. Imaginary numbers are just something we initially didn’t account for but we can (and did) fix. Godel’s theorem means everything may just be broken and we just don’t know.
And when you discover that free will is an illusion because of deterministic patterns, what will you do then?
Honestly finding out the lack of free will exists would be the most liberating thing ever. I could just let autopilot take its course.
Whatever it is physics demands they do, obviously.
11:15, restate my assumptions: 1. Mathematics is the language of nature. 2. Everything around us can be represented and understood through numbers. 3. If you graph these numbers, patterns emerge. Therefore: There are patterns everywhere in nature.
I’ll do the same for physics. Together we shall reign.
But also the ability to turn it off at will. Otherwise life will become incredibly tedious.