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In mathematics, Hilbert's second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic is consistent – free of any internal contradictions. Hilbert stated that the axioms he considered for arithmetic were the ones given in Hilbert (1900) , which include a second order completeness axiom.
Problems 1, 2, 5, 6, [g] 9, 11, 12, 15, 21, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis ), 13 and 16 [ h ] unresolved, and 4 and 23 as too vague to ever be described as solved.
Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle. Conway's Game of Life and fractals , as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions.
The Center for Naval Analyses (CNA) is a federally funded research and development center (FFRDC) for the United States Navy and Marine Corps.It also provides research and analysis services to other US Defense Department and certain other US Government agencies to help improve the efficiency and effectiveness of U.S. national defense efforts.
CNA (nonprofit), the Center for Naval Analyses; Center for Transportation and Logistics Neuer Adler; Centre for Nonviolent Action, Bosnia and Serbia; Royal Canadian Numismatic Association; National Audiovisual Council, Romania; Centre national de l'audiovisuel, Luxembourg; CVE (Common Vulnerabilities and Exposures) Numbering Authority