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  2. List of mathematical proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_proofs

    Fermat's little theorem and some proofs; Gödel's completeness theorem and its original proof; Mathematical induction and a proof; Proof that 0.999... equals 1; Proof that 22/7 exceeds π; Proof that e is irrational; Proof that π is irrational; Proof that the sum of the reciprocals of the primes diverges

  3. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Castelnuovo–de Franchis theorem (algebraic geometry) Castigliano's first and second theorems (structural analysis) Cauchy integral theorem (complex analysis) Cauchy–Hadamard theorem (complex analysis) Cauchy–Kowalevski theorem (partial differential equations) Cauchy's theorem ; Cauchy's theorem (finite groups)

  4. Butterfly theorem - Wikipedia

    en.wikipedia.org/wiki/Butterfly_theorem

    The butterfly theorem is a classical result in Euclidean geometry, which can be stated as follows: [1]: p. 78 Let M be the midpoint of a chord PQ of a circle , through which two other chords AB and CD are drawn; AD and BC intersect chord PQ at X and Y correspondingly.

  5. List of incomplete proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_incomplete_proofs

    The proof was completed by Werner Ballmann about 50 years later. Littlewood–Richardson rule. Robinson published an incomplete proof in 1938, though the gaps were not noticed for many years. The first complete proofs were given by Marcel-Paul Schützenberger in 1977 and Thomas in 1974. Class numbers of imaginary quadratic fields.

  6. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  7. Metamath - Wikipedia

    en.wikipedia.org/wiki/Metamath

    The Metamath Proof Explorer (recorded in set.mm) is the main database. It is based on classical first-order logic and ZFC set theory (with the addition of Tarski-Grothendieck set theory when needed, for example in category theory). The database has been maintained for over thirty years (the first proofs in set.mm are dated September 1992). The ...