This is a list of mathematical theories. Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Asymptotic theory; Automata theory; Bass–Serre theory; Bifurcation theory; Braid theory; Brill–Noether theory; Catastrophe theory; Category theory; Chaos …

Sep 25, 2007 · In the first decades of the twentieth century, three non-platonistic accounts of mathematics were developed: logicism, formalism, and intuitionism. There emerged in the beginning of the twentieth century also a fourth program: predicativism.

Feb 25, 2023 · A list of mathematical theories covering a wide range of fields, from algebraic K-theory to topology, including game theory, number theory, and chaos theory.

Discrete mathematics, graph theory, enumeration, combinatorial optimization, Ramsey theory, combinatorial game theory

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 and mathematics itself.

Jan 31, 2025 · Created, developed & nurtured by Eric Weisstein with contributions from the world's mathematical community. Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually updated, extensively illustrated, and with interactive examples.

In the general sense, a mathematical theory is a branch of mathematics devoted to some specific topics or methods, such as set theory, number theory, group theory, probability theory, game theory, control theory, perturbation theory, etc., such …

Theoretical mathematics is the study of abstract mathematical structures which form the basic framework for the rest of the mathematical sciences. In large part, theoretical mathematics is inspired by intellectual curiosity.

In this section I want to give a nontechnical overview of the subject I am calling type theory. I will discuss these points: It is a foundational theory in the sense of providing definitions of the basic notions in logic, mathematics, and computer science in terms of a few primitive concepts.

Mathematical logic investigates the power of mathematical reasoning itself. The various subfields of this area are connected through their study of foundational notions: sets, proof, computation, and models.