https://www.youtube.com/watch?v=HeQX2HjkcNo
One of the most spectacularly informative, mysterious, and incredible videos I have ever watched. It has it all, math, science, infinity, Godel, Hilbert, Russell, logic, Turing, computers, knowledge, and our place in the world of knowing. MUST SEE, I promise it's the singular most spectacular 1/2 you will spend in the next 6 months... Just flippin WOW. The graphics are absolutely outta sight!!! The concept is deeply, viscerally, VERY disturbing...
There's a Hole at the Bottom of Math
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Philo Sofee
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Chap
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Re: There's a Hole at the Bottom of Math
So this is basically about Godel's (1931) proofs that any consistent formal system will contain true statements that cannot be proved within the system, and that the system cannot prove its own consistency?
Maksutov:
That's the problem with this supernatural stuff, it doesn't really solve anything. It's a placeholder for ignorance.
Mayan Elephant:
Not only have I denounced the Big Lie, I have denounced the Big lie big lie.
That's the problem with this supernatural stuff, it doesn't really solve anything. It's a placeholder for ignorance.
Mayan Elephant:
Not only have I denounced the Big Lie, I have denounced the Big lie big lie.
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Gunnar
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Re: There's a Hole at the Bottom of Math
I highly recommend the Pulitzer Prize winning book, Gödel, Escher, Bach: An Eternal Golden Braid, by Douglas Hofstadter on this and related subjects. It is one of the most interesting and profound books I ever read!
No precept or claim is more suspect or more likely to be false than one that can only be supported by invoking the claim of Divine authority for it--no matter who or what claims such authority.
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Philo Sofee
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Re: There's a Hole at the Bottom of Math
Yes it is! It's been quite a while since I have read it. I also really enjoyed his magnus tome Metamagical Themas...Gunnar wrote: ↑Wed May 26, 2021 9:41 pmI highly recommend the Pulitzer Prize winning book, Gödel, Escher, Bach: An Eternal Golden Braid, by Douglas Hofstadter on this and related subjects. It is one of the most interesting and profound books I ever read!
And, honestly, one of my favorites on the subject is Rudy Rucker's Infinity and the Mind. That was one of my first full book exposures to infinity, and I am still sputtering...
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Chap
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Re: There's a Hole at the Bottom of Math
Yup - I remember that as a good book, though I read it a l o o o o o ng time ago!
Maksutov:
That's the problem with this supernatural stuff, it doesn't really solve anything. It's a placeholder for ignorance.
Mayan Elephant:
Not only have I denounced the Big Lie, I have denounced the Big lie big lie.
That's the problem with this supernatural stuff, it doesn't really solve anything. It's a placeholder for ignorance.
Mayan Elephant:
Not only have I denounced the Big Lie, I have denounced the Big lie big lie.