The First Incompleteness Theorem states that any consistent formal system capable of expressing elementary arithmetic contains statements that are true but cannot be proven within the system. In other words, there exist mathematical statements that are undecidable or unprovable using the rules and axioms of the system itself.
To prove this theorem, Gödel constructed a method called Gödel numbering, which assigns a unique number to each symbol, formula, and proof in the formal system. He then showed how to encode statements about numbers and proofs as specific arithmetic statements within the system. By cleverly constructing a self-referential statement that essentially says "This statement cannot be proven," Gödel demonstrated that such an undecidable statement exists in any consistent system powerful enough to express elementary arithmetic.
The Second Incompleteness Theorem builds upon the first and asserts that no consistent formal system can prove its own consistency. In other words, if a system is consistent and sufficiently powerful to represent elementary arithmetic, then it cannot prove that it does not contain any contradictions.
Gödel's Second Incompleteness Theorem is derived from the first by constructing a statement within the system that says, "This formal system is consistent." If the system were able to prove its own consistency, it would imply that the statement is true. However, Gödel showed that such a system cannot prove its own consistency unless it is, in fact, inconsistent.
Fully Based. I have a confirmed IQ of 190 (from 100% legit internet test). Feels good knowing that whenever I want, I can stop playing vidya and browsing 4chinz all day and revolutionize whatever field I decide to go into
Fully Based. I have a confirmed IQ of 190 (from 100% legit internet test). Feels good knowing that whenever I want, I can stop playing vidya and browsing 4chinz all day and revolutionize whatever field I decide to go into
you fucking retards, internet iq tests arent good measures, go fucking take a real proctored IQ test and post the results here.
no need to be butthurt because you don't have an internet IQ confirmed greater than Einstein anon. Its not as fun as you'd think being a genius like me and having to deal with cattle all day...
Yeah part of being smart is knowing where to put your energy. I hate that the world is like this but money & finance simply seems to offer the best yields.
I spent my 20s doing things I personally enjoyed and hoped that I would be able to turn it into money. But if you think in more abstract terms then it's pretty clear that you need to aim for the best effort vs. yield ratio. I never wanted to be this person but my brain just snapped when I turned 30.
This, the system incentives are geared towards being a kike bankers or merchant, grifter or whore. Not creating things of real value, or discovering new truths of the universe.
Explain godel's incompleteness theorems then if you are so smart.
Probably because you have issues stemming your childhood
The First Incompleteness Theorem states that any consistent formal system capable of expressing elementary arithmetic contains statements that are true but cannot be proven within the system. In other words, there exist mathematical statements that are undecidable or unprovable using the rules and axioms of the system itself.
To prove this theorem, Gödel constructed a method called Gödel numbering, which assigns a unique number to each symbol, formula, and proof in the formal system. He then showed how to encode statements about numbers and proofs as specific arithmetic statements within the system. By cleverly constructing a self-referential statement that essentially says "This statement cannot be proven," Gödel demonstrated that such an undecidable statement exists in any consistent system powerful enough to express elementary arithmetic.
The Second Incompleteness Theorem builds upon the first and asserts that no consistent formal system can prove its own consistency. In other words, if a system is consistent and sufficiently powerful to represent elementary arithmetic, then it cannot prove that it does not contain any contradictions.
Gödel's Second Incompleteness Theorem is derived from the first by constructing a statement within the system that says, "This formal system is consistent." If the system were able to prove its own consistency, it would imply that the statement is true. However, Gödel showed that such a system cannot prove its own consistency unless it is, in fact, inconsistent.
This chatgpt nonsense doesn't count.
Same. OCD kinda screwed things up. I've thing I've found a way to make it though in tech. Good luck
Actual underachievers don't exist. You guys are just retards with narcissism.
I have 180 iq, the internet test confirmed that.
Also mom always tells me how smart I am
Fully Based. I have a confirmed IQ of 190 (from 100% legit internet test). Feels good knowing that whenever I want, I can stop playing vidya and browsing 4chinz all day and revolutionize whatever field I decide to go into
you fucking retards, internet iq tests arent good measures, go fucking take a real proctored IQ test and post the results here.
no need to be butthurt because you don't have an internet IQ confirmed greater than Einstein anon. Its not as fun as you'd think being a genius like me and having to deal with cattle all day...
Because israelites are smarter
Turns out you’re fucking stupid.
Many such cases.
Misapplied efforts. I'm guessing you got a degree and expected money to fall in your lap (I did too, I understand).
Study money, and you will be able to accumulate money. Start with Richest Man in Babylon and The Intelligent Investor.
Yeah part of being smart is knowing where to put your energy. I hate that the world is like this but money & finance simply seems to offer the best yields.
I spent my 20s doing things I personally enjoyed and hoped that I would be able to turn it into money. But if you think in more abstract terms then it's pretty clear that you need to aim for the best effort vs. yield ratio. I never wanted to be this person but my brain just snapped when I turned 30.
This, the system incentives are geared towards being a kike bankers or merchant, grifter or whore. Not creating things of real value, or discovering new truths of the universe.
they control the incentives of the system.
I’m of completely average intelligence. Why am I so rich?
>Been told I could do whatever I wanted to do when I was younger. But i'm also incredibly lazy and get bored easily.
The two are probably related.
Maybe cause your posting on offbrand LULZ
Wait why does it cencor LULZn
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