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Item #: SCP-XXXX

Object Class: Safe

Special Containment Procedures: All recovered instances of SCP-XXXX are to be contained in a secure storage locker in Site-XX's reference library. Access is available to Clearance 2 personnel for research and investigation, subject to approval b by Clearance 3 personnel with a principle scholastic focus in mathematics.

Description: SCP-XXXX is a group designation to ███ copies of a mathematical puzzle book, similar in design and manufacture to sudoku books commonly seen sold in grocery stores. SCP-XXXX is a neon green, 96 page paperback book entitled "Inredible Methmetical Puzles 2 Xcite Ur BRAIN!" [sic]. Further investigation shows that SCP-XXXX was copyrighted in the year ████ by Educat Publishing House, which has also published SCP-████ and SCP-████.1

The content of SCP-XXXX consists of a series of anomalous mathematical puzzles and theorems, many of which seem entirely logical to the reader but are entirely contradictory to the standard axioms of mathematics. Examples include:

List of Puzzles

Page Number Puzzle/Theorem Description
Page 6 A discussion of the famous Konigsberg problem, solved by Euler in the eighteenth century. A theoretically impossible one-circuit path of the graph is presented.
Page 12 The three utilities problem is presented. Subjects testing the book have no problem whatsoever finding a perfectly valid solution to the problem.
Page 14 Instructions are presented on how to create various four-dimensional objects - such as a hypercube and a non-intersecting Klein bottle - in three-dimensional space.
Page 15 Instructions are presented on how using the axiom of choice can be used to carve an orange into two oranges, or a small orange into a much larger orange. Subjects testing the book have repeatedly demonstrated the ability to perform the necessary cuts and movements once they have read the instructions.
Page 21 Readers are tasked with writing a proof of Fermat's Last Theorem using only mathematical knowledge Fermat would have had available at the time of his death. Three logically consistent proofs have been generated in testing.
Page 25-29 A quiz for Hilbert's 23 questions - answers listed on the last page indicate that the continuum hypothesis, Riemann hypothesis, and Goldbach's conjecture are all true. A proof that the axioms of arithmetic are consistent - within arithmetic - is also presented.2

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