Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be shown to be abelian, a statement which does not generalize to order p3, as the non-abelian group D4 of order 8 = 23 above shows. Computer algebra systems can be used to list small groups, but there is no classification of all finite groups.q["] An intermediate step is the classification of finite simple groups.r["] A nontrivial group is called simple if its only normal subgroups are the trivial group and the group itself.s["] The JordanHolder theorem exhibits finite simple groups as the building blocks for all finite groups. Listing all finite simple groups was a major achievement in contemporary group theory. 1998 Fields Medal winner Richard Borcherds succeeded in proving the monstrous moonshine conjectures, a surprising and deep relation between the largest finite simple sporadic groupthe "monster group"and certain modular functions, a piece of classical complex analysis, and string theory, a theory supposed to unify the description of many physical phenomena.
What level of finality do mathematicians try to reach with math concepts?
complete classification

Canada also permits a variety of charities (including public and private foundations). Charitable status is granted by the Canada Revenue Agency (CRA) upon application by a nonprofit; charities are allowed to issue income tax receipts to donors, must spend a certain percentage of their assets (including cash, investments and fixed assets) and file annual reports in order to maintain their charitable status. In determining whether an organization can become a charity, CRA applies a common law test to its stated objects and activities. These must be:
How does an NPO keep their charitable status?
file annual reports

The Treaty of Guadalupe Hidalgo, signed on February 2, 1848, by American diplomat Nicholas Trist and Mexican plenipotentiary representatives Luis G. Cuevas, Bernardo Couto, and Miguel Atristain, ended the war, gave the U.S. undisputed control of Texas, and established the U.S.Mexican border of the Rio Grande. As news of peace negotiations reached the state, new call to arms began to flare among the people of the state. But as the Mexican officials in Chihuahua heard that General Price was heading back to Mexico with a large force comprising several companies of infantry and three companies of cavalry and one division of light artillery from Santa Fe on February 8, 1848, Angel Trias sent a message to Sacramento Pass to ask for succession of the area as they understood the war had concluded. General Price, misunderstanding this as a deception by the Mexican forces, continued to advance towards the state capital. On March 16, 1848 Price began negotiations with Angel Trias, but the Mexican leader responded with an ultimatum to General Price. The American forces engaged with the Mexican forces near Santa Cruz de los Rosales on March 16, 1848. The Battle of Santa Cruz de los Rosales was the last battle of the MexicanAmerican War and it occurred after the peace treaty was signed. The American forces maintained control over the state capital for three months after the confirmation of the peace treaty. The American presence served to delay the possible succession of the state which had been discussed at the end of 1847, and the state remained under United States occupation until May 22, 1848.
Which American general misunderstood the Mexican message sent to Sacramento Pass?
General Price