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Impuzzable!




"My first Gödel Jigsaw"



"Bear with me"



Ribbons for gödelised puzzles (left) and original Gödel Jigsaw puzzles (right)



Wrapped gödelised puzzle box concept 11
by CCPT



We have built a machine ('the system') that takes all possible pictures as input, and digitally generates all possible jigsaw puzzles from them.

Mathematically, the system is recursively enumerable. According to Kurt Gödel's incompleteness theorems from 1931, the system cannot be both complete and consistent.

We don't know if the system is complete — we will know once it has run forever — but we do know it is inconsistent. Inconsistency in the context of our machine means that at least one of the generated puzzles is 'false'. This could imply several things: a piece of the puzzle that does not fit, a missing piece, etc.

Since the system is bug-free in itself (as was proven by formal methods), finding an inconsistency is obviously a very rare occasion. During years of automated checking of puzzles generated by the system — many billions — we have so far found two incomplete puzzles.

These two unique Gödel Jigsaw puzzles, shown on the left, are up for sale:

My first Gödel Jigsaw: € 150
Bear with me: € 200

New Gödel puzzles may be added as we mine them in the years to come.

As an additional service, you can send your favorite jigsaw puzzle to ConceptsAssociated. For a small fee, we will gödelise the puzzle and send the 'false' puzzle back to you, wrapped in an official ConceptsAssociated ribbon.

Available in the boutique and the clinique.