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Spelling/Grammar Check, typos fixed: latin → Latin, self consistent → self-consistent (2)
An [[equation]] is a mathematical statement that asserts the equality of two expressions. Some equations, like (x + 2 = 5), express the equality of two quantities. Other equations, called [[differential equation]]s, express the equality of two [[function]]s.
An [[equation]] is a mathematical statement that asserts the equality of two expressions. Some equations, like (x + 2 = 5), express the equality of two quantities. Other equations, called [[differential equation]]s, express the equality of two [[function]]s.
A mathematical theory is expressed as a set of sentences, called [[axiom]]s. These axioms should be self consistent, that is, they must not contradict with each other. From these axioms, new results can be derived adhering strictly to mathematical logic. These derived results are called [[theorem]]s. It is important to note that, according to the [[Godel's Incompleteness Theorems]], it is impossible to state a self consistent set of axioms from which the whole mathematics can be derived.
A mathematical theory is expressed as a set of sentences, called [[axiom]]s. These axioms should be self-consistent, that is, they must not contradict with each other. From these axioms, new results can be derived adhering strictly to mathematical logic. These derived results are called [[theorem]]s. It is important to note that, according to the [[Godel's Incompleteness Theorems]], it is impossible to state a self-consistent set of axioms from which the whole mathematics can be derived.
====[[Discrete Mathematics]]====
====[[Discrete Mathematics]]====
The study of discrete structures, such as graphs, latin squares, and block designs. Discrete mathematics can be studied from a pure, theoretical standpoint, or by studying its applications, such as those to theoretical computer science and combinatorial optimization.
The study of discrete structures, such as graphs, Latin squares, and block designs. Discrete mathematics can be studied from a pure, theoretical standpoint, or by studying its applications, such as those to theoretical computer science and combinatorial optimization.
====[[Combinatorics]]====
====[[Combinatorics]]====