Peano axioms

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• 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, Giuseppe — (1858–1932)    The son of a peasant family from a small village near Cuneo in Piedmont, Giuseppe Peano was one of the most important mathematicians of his day. He began his university career in 1876 at Turin, where he would continue to work and… …   Historical Dictionary of modern Italy

• Peano , Giuseppe — (1858–1932) Italian mathematician and logician Peano, who was born at Spinetta near Cuneo, in Italy, studied at the University of Turin and was an assistant there from 1880. He became extraordinary professor of infinitesimal calculus in 1890 and… …   Scientists

• Peano's postulates — Math. a collection of axioms concerning the properties of the set of all positive integers, including the principle of mathematical induction. Also called Peano s axioms. Cf. principle of mathematical induction. [named after G. PEANO] * * * …   Universalium

• Peano's postulates — Math. a collection of axioms concerning the properties of the set of all positive integers, including the principle of mathematical induction. Also called Peano s axioms. Cf. principle of mathematical induction. [named after G. PEANO] …   Useful english dictionary

• Peano's postulates — The postulates isolated by R. Dedekind (1831–1916) and formulated by the Italian mathematician G. Peano (1858–1932), that define the number series as the series of successors to the number zero. Informally they are: (i) zero is a number; (ii)… …   Philosophy dictionary

• Peano arithmetic — noun A set of axioms of first order logic for the natural numbers specifying the operations of zero, successor, addition and multiplication, including a first order schema of induction …   Wiktionary

• Giuseppe Peano — Infobox Scientist name = Giuseppe Peano image width = 220px birth date = birth date|1858|8|27 birth place = Spinetta, Piedmont, Italy death date = death date and age|1932|4|20|1858|8|27 residence = Italy citizenship = Italian field = Mathematics… …   Wikipedia

• List of axioms — This is a list of axioms as that term is understood in mathematics, by Wikipedia page. In epistemology, the word axiom is understood differently; see axiom and self evidence. Individual axioms are almost always part of a larger axiomatic… …   Wikipedia

• Gödel's incompleteness theorems — In mathematical logic, Gödel s incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest. The theorems are of… …   Wikipedia