How well do you understand Gödel's Incompleteness Theorem? - Journal of Astrological Big Data Ecology

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How well do you understand Gödel's Incompleteness Theorem?

If you were still rooting for Hilbert and his fan boys to come up with a complete set of axioms to describe all of mathematics, I have some bad news for you...it can't be done. According to Kurt Gödel's Incompleteness Theorem, there are some serious problems. It doesn't take a mathematician to understand why and to what extent mathematics is forever uncertain, but take this quiz and you may have a good idea if you do actually understand it or just like impressing your friends with how smart you are.

1 / 10

Is the answer to question seven true?

True

False

2 / 10

If the CIA destroyed all evidence of an inside job to kill Kennedy to continue the war in Vietnam while creating a flawless back story of Lee Harvey Oswald acting as a lone gunner could such a conspiracy or a statement about prime numbers or something be neither proved or disproved?

Idk man, there’s no way that they didn’t slip up at least somewhere or that we won’t ever figure out Golbach’s conjecture. Just because we haven’t proved it yet doesn’t mean we won’t

I suppose if the CIA was able to control all of their own documents and take out any potential leaks by enforcing strict loyalty there would be no way they could be called out for it and I guess there are some conjectures that are pretty tough to crack.

Oh I’ve done the research and I know for a fact that it’s a phony story, there’s no way that magic bullet could have done what they said it did. There had to be multiple shooters just like it’s obvious and proven that there are an infinite amount of twin primes.

Only idiots believe that it’s a conspiracy, just like prime conjectures, it’s just a matter of time that we do away with all those pesky conspiracy theories and unproven prime number rules.

3 / 10

How would you feel if I told you “This Statement is not Provable?”

Abject terror: if sCiEnCe, LoGiC, aNd MaTh can’t prove something I WILL have to answer to a higher power and He has probably seen my actual finances and not what I’ve reported to the IRS

At peace: It doesn’t bother me because that is a nonsense sentence anyway. Besides, syntactic consistency like that has no bearing on math, give me a tough one

Confused: I get we’re getting into axioms and stuff but I’m not Spock trying to take out an artificial intelligence after we lost a few Red shirts in the opening combat

Circuit Malfunctions: I happen to be a complete Turing Machine and I am searching for the proof of this statement and cannot find it

4 / 10

What’s the Gödel Number for the statement “If all possible values of x representing the non-ordered combinations of my broke brothers Lotto tickets, there is a universe where he guesses correctly and will stop sleeping on my couch.”

What is a Gödel Number?

Do you expect me to multiply all of those prime numbers?

Do you Reeeeealy expect me to multiply all those prime numbers raised to each corresponding axiom’s Gödel number? Idk 42069?

Dude, this is millions of digits long! Those prime numbers aren't messing around. I get how this will give everything a unique identifier but Damn Gödel, some of us have work to do. I’m not going to do this for your stupid quiz just to prove I understand a theorem.

Okay, some googling and a matlab script later and it's 95730284938539183091943959019838482058494930298284592984571049493984389509209820592304t30980894524390823402340978345987237834984523983409349458328793542984532987543987234590782305430978467834587534978438045608450987459078

5 / 10

Suppose you have a friend that is super Libertarian, the sort that doesn’t believe in drivers licenses or government programs of any kind. He’s the worst type of Anarcho Capitalist you could imagine, I swear he even read through all of Atlas Shrugged without groaning at that woman’s terrible writing style. If his beliefs were a consistent axiomatic system, and he’s told you that, could he prove that they are consistent and should you stop talking to him for trying to get you to join his ‘Freedom militia’ even though you told him you have a mortgage and three kids?

I guess he could be consistent, he is that insane and even lives completely off the grid, we’ve had this conversation and he knows I’m not doing more than one training weekend a month

There’s no way that his axioms could be consistent and provable because if he were able to tabularize them all in a list, the diagonalization would show that they would need to be self referencing to prove all libertarian axioms and yes why would I ever talk with that nut job again.

He’s definitely not consistent so I know he can’t prove it, I don’t think he could be consistent in the first place because his one thousand acre West Texas Ranch is defended by America, despite Declaring Independence. Oh and I really need to cut ties with that guy, he’s gone down the deep end.

I suppose in theory he could prove his own consistency, it wouldn’t be worth challenging him, I’m not in the mood for another three hour conversation that ends in the dangers of a fiat currency

6 / 10

When will Mathematics be complete?

No, it can’t, unless we find some strange way to redefine natural numbers after taking some ‘Use 100% of your brain pill’ that gives you telekinesis, it’s literally impossible without the axioms becoming self referencing and creating an inconsistency

Yes, one day we will find all axioms which explain everything in the universe and all of those astro-physics personalities will stop complaining about it

Like if numbers are infinite doesn’t that mean math is infinite? That’s not really an answer, but maybe it is?

We’re living in a simulation anyway, there’s no way THEY would let us figure it out before restarting our brains.

Never, it’s all made up anyway

7 / 10

Is the answer to question eight false?

True

False

8 / 10

Is the answer to question nine true?

True

False

9 / 10

Is the answer to question ten false?

True

False

10 / 10

Is the answer to question one true?

True

False

I can’t even remember what I answered for question 1, but I’m sure if I did, I’d get this question correct.

There is no provable answer, I give up, this quiz is dumb

But that would mean that if 1 is true, then seven is true which would make eight false? But isn’t 9 true? Damnit...

Where do we get to the part where Godel’s theorem means that all math is made up and useless? I don’t care about axioms I just want to justify procrastinating on my math homework since it’s all some elaborate fiction because of some theorem I never read

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Published by B McGraw

B McGraw has lived a long and successful professional life as a software developer and researcher. After completing his BS in spaghetti coding at the department of the dark arts at Cranberry Lemon in 2005 he wasted no time in getting a masters in debugging by print statement in 2008 and obtaining his PhD with research in screwing up repos on Github in 2014. That's when he could finally get paid. In 2018 B McGraw finally made the big step of defaulting on his student loans and began advancing his career by adding his name on other people's research papers after finding one grammatical mistake in the Peer Review process. View more posts

2 thoughts on “How well do you understand Gödel’s Incompleteness Theorem?”

Is this entire site a joke?

B McGraw says:

December 14, 2021 at 10:58 am

That is correct, what gave us away?

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