Peano theorem

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• Peano existence theorem — In mathematics, specifically in the study of ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy Peano theorem, named after Giuseppe Peano and Augustin Louis Cauchy, is a fundamental theorem which guarantees the… …   Wikipedia

• Peano axioms — In mathematical logic, the Peano axioms, also known as the Dedekind Peano axioms or the Peano postulates, are a set of axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used… …   Wikipedia

• Peano-Arithmetik — Die Peano Arithmetik (erster Stufe) ist eine Theorie der Arithmetik, also der Natürlichen Zahlen, innerhalb der Prädikatenlogik erster Stufe. Als Axiome werden die Peano Axiome verwendet, wobei das Induktionsaxiom durch ein Axiomenschema ersetzt… …   Deutsch Wikipedia

• Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements …   Wikipedia

• Peano space — In point set topology, a branch of mathematics, a Peano space, named after Giuseppe Peano, is a compact, connected, locally connected metric space.Properties*Every Peano space is arcwise connected, more generally every open connected subset of a… …   Wikipedia

• Cauchy theorem — Several theorems are named after Augustin Louis Cauchy. Cauchy theorem may mean:*Cauchy s integral theorem in complex analysis, also Cauchy s integral formula *Cauchy s mean value theorem in real analysis, an extended form of the mean value… …   Wikipedia

• Paris–Harrington theorem — In mathematical logic, the Paris–Harrington theorem states that a certain combinatorial principle in Ramsey theory is true, but not provable in Peano arithmetic. This was the first natural example of a true statement about the integers that could …   Wikipedia

• Goodstein's theorem — In mathematical logic, Goodstein s theorem is a statement about the natural numbers made by Reuben Goodstein which states that every Goodstein sequence eventually terminates at 0. harvtxt|Kirby|Paris|1982 showed that it is unprovable in Peano… …   Wikipedia

• Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

• Kruskal's tree theorem — In mathematics, Kruskal s tree theorem states that the set of finite trees over a well quasi ordered set of labels is itself well quasi ordered (under homeomorphic embedding). The theorem was proved byharvs|txt=yes|year= 1960 |authorlink=Joseph… …   Wikipedia

• Post's theorem — In computability theory Post s theorem, named after Emil Post, describes the connection between the arithmetical hierarchy and the Turing degrees. Background The statement of Post s theorem requires several concepts relating to definability and… …   Wikipedia