Undergrad I found an interesting math result, but now I see a contradiction

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A user presented a claim that the halting problem is essentially solvable but later identified a contradiction in their reasoning. They referenced an article discussing this claim and acknowledged an error in their understanding. Another participant criticized the reliance on faith rather than scientific evidence in the argument, emphasizing that the forum is focused on scientific discourse. The discussion concluded with a reminder of the forum's guidelines regarding the nature of acceptable content. The thread was subsequently closed by a moderator.
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I found an interesting math result ("halting problem is essentially solvable") yesterday, but now I see a contradiction (it follows "halting problem is solvable"). Participate in finding my error.
I found an interesting math result ("halting problem is essentially solvable") yesterday, but now I see a contradiction (it follows "halting problem is solvable"). Participate in finding my error.

Here is my short yesterday article (with links to other yesterday articles):

[Unacceptable reference redacted by the Mentors]
 
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I've found an error myself:

In the linked article [Unacceptable reference redacted by the Mentors] I describe the error in bold font.

The linked article nevertheless had another valid very interesting result that replaces the paradigm that mathematics is theorem proving by another paradigm.

You have a new release of mathematics.
 
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I glanced at the article, and found that it referenced your prior article on using Peano Arithmetic to avoid Godel's incompleteness result ##-## the only 'support' in that article for your contention was 'faith'; not science. Please understand that PF is a set of forums for science; not for exploring faith-based ideas about scientific and mathematical matters. Please read the guidelines, and if you have questions or concerns about any of them, please PM one of the Mentors.
 
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Likes berkeman, jedishrfu and PeroK
And with that helpful reply by @sysprog the thread is now closed.
 
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Likes sysprog
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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