Its principles are continued by their easiness and logic such that truth in mathematics, even in its most difficult forms, can be broken down. For example, consider the problem, 4 + 4 = 8. It would also be the same problem if we wrote (2 + 2) + (2 + 2) = 4 or 4 + 4 = 23 because in mathematics, if the theories that are being applied are correct, so is the truth behind the method or solution. Such a type of truth can be also called a semantic truth, one that holds an assertion to be true under the language that it is being expressed in. .
Mathematical truth is also described as truth based on experience and practical observations. We may say that all birds lay eggs and 3 + 3 = 6, but we would more likely believe the end because we have seen so many more examples of 3 + 3 = 6, such as 3 apples plus 3 more apples equals 6 apples, it must be true. In this way mathematics is also tested with real world applications to determine truth or rather relate it with the observer. .
However a system built on these principles is not without its errors. Problems in mathematical truth occur when mathematical principles are followed but do not always lead to an acceptable or truthful solution. These conflicts between mathematical principles and their end results are called mathematical paradoxes. A clear example would be a globe, particularly the surface. According to one of the principles of mathematics, a straight line that will always be the shortest length between these two points can connect two points on a plane. On a globe, consider the North and South Pole, which have not one, but several lines that connect the two points together. This means that relying only on principles in mathematics is not completely correct. .
A completely area of knowledge that contrasted truth in mathematics is the arts. The arts are a wide category of areas ranging from visual arts to music, all having similar features when related to truth.
