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  2. List of mathematical theories - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_theories

    This is a list of mathematical theories. Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Asymptotic theory; Automata theory; Bass–Serre theory;

  3. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Abel's curve theorem (mathematical analysis) Abel's theorem (mathematical analysis) Abelian and Tauberian theorems (mathematical analysis) Abel–Jacobi theorem (algebraic geometry) Abel–Ruffini theorem (theory of equations, Galois theory) Abhyankar–Moh theorem (algebraic geometry) Absolute convergence theorem (mathematical series)

  4. Foundations of mathematics - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_mathematics

    A mathematical assertion is considered as truth only if it is a theorem that is proved from true premises by means of a sequence of syllogisms (inference rules), the premises being either already proved theorems or self-evident assertions called axioms or postulates.

  5. List of conjectures - Wikipedia

    en.wikipedia.org/wiki/List_of_conjectures

    It is now recognized that Euclidean geometry can be studied as a mathematical abstraction, but that the universe is non-Euclidean. Fermat conjectured that all numbers of the form 2 2 m + 1 {\displaystyle 2^{2^{m}}+1} (known as Fermat numbers ) were prime.

  6. List of theorems called fundamental - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems_called...

    In mathematics, a fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus . [ 1 ]

  7. List of mathematical proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_proofs

    Cantor's theorem; Cantor–Bernstein–Schroeder theorem; Cayley's formula; Cayley's theorem; Clique problem (to do) Compactness theorem (very compact proof) Erdős–Ko–Rado theorem; Euler's formula; Euler's four-square identity; Euler's theorem; Five color theorem; Five lemma; Fundamental theorem of arithmetic; Gauss–Markov theorem (brief ...

  8. Theory (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Theory_(mathematical_logic)

    In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. In most scenarios a deductive system is first understood from context, after which an element ϕ ∈ T {\displaystyle \phi \in T} of a deductively closed theory T {\displaystyle T} is then called a theorem of the theory.

  9. List of scientific equations named after people - Wikipedia

    en.wikipedia.org/wiki/List_of_scientific...

    Financial mathematics: Irving Fisher: Fisher's equation: Mathematics: Ronald Fisher: Fokker–Planck equation: Probability theory: Adriaan Fokker and Max Planck: Föppl–von Kármán equations: Elasticity: August Föppl and Theodore von Kármán: Fowler–Nordheim equation: Condensed matter physics: Ralph H. Fowler and Lothar Wolfgang Nordheim ...

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