The language of mathematics or mathematical language is an extension of the natural language (for example English) that is used in mathematics and in science...

Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship to other areas of philosophy, particularly...

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences...

A mathematical markup language is a computer notation for representing mathematical formulae, based on mathematical notation. Specialized markup languages...

In logic, mathematics, computer science, and linguistics, a formal language is a set of strings whose symbols are taken from a set called "alphabet"....

In mathematics, an expression is a written arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols...

most mathematical literature, proofs are written in terms of rigorous informal logic. Purely formal proofs, written fully in symbolic language without...

performed. Formal language Language of mathematics Glossary of mathematical symbols Mathematical Alphanumeric Symbols Mathematical notation Notation system...

description of a large class of phenomena." He adds that the observation "the laws of nature are written in the language of mathematics," properly made by Galileo...

Leonhard Euler. The use of many symbols is the basis of mathematical notation. They play a similar role as words in natural languages. They may play different...

restricted to mathematics, physics, or even humans. He stated further that "The miracle of the appropriateness of the language of mathematics for the formulation...

Galilei: "The book of nature is written in the language of mathematics". Before giving a mathematical proof for the formula for the volume of a sphere, Archimedes...

which could less easily be expressed informally. Further, the language of mathematics allows economists to make specific, positive claims about controversial...

The language of mathematics has a wide vocabulary of specialist and technical terms. It also has a certain amount of jargon: commonly used phrases which...

contemporary education, mathematics education—known in Europe as the didactics or pedagogy of mathematics—is the practice of teaching, learning, and carrying...

A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation...

In mathematics, a space is a set (sometimes known as a universe) endowed with a structure defining the relationships among the elements of the set. A...

and cosmology, the mathematical universe hypothesis (MUH), also known as the ultimate ensemble theory, is a speculative "theory of everything" (TOE) proposed...

in mathematics education to teach students to connect real-world situations to the abstract language of mathematics. In general, to use mathematics for...

The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern...

abbreviated names of mathematical functions, function-like operators and other mathematical terminology. This list is limited to abbreviations of two or more...

but participation is not limited by language. China Girls Mathematical Olympiad (CGMO) — held annually for teams of girls representing different regions...

David Hilbert proposed to use formal systems as the foundation of knowledge in mathematics. However, in 1931 Kurt Gödel proved that any consistent formal...

to the world that "the great book of nature" could only be read by those who understood the language of mathematics. He set out to measure whatever is...

theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and...

wallpaper design. Any of the senses may directly observe patterns. Conversely, abstract patterns in science, mathematics, or language may be observable only...

Mathematicism is 'the effort to employ the formal structure and rigorous method of mathematics as a model for the conduct of philosophy', or the epistemological...

The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads...

mathematical addition, subtraction, and multiplication are similar to other languages, but the behavior of division differs. There are two types of division...

or actions. It can occur in language, logic, mathematics, philosophy, and other fields. In natural or formal languages, self-reference occurs when a...