overspill$56831$ - significado y definición. Qué es overspill$56831$
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Qué (quién) es overspill$56831$ - definición

AXIOMATIC SYSTEM FOR THE NATURAL NUMBERS
Peano postulates; Peanos axioms; Peano arithmetic; Peano Axioms; Peano's axioms; First order arithmetic; Arithmetic formula; Peano Arithmetic; Peano Postulate; Peano axiom; Peano numbers; Peano's postulates; Dedekind–Peano axioms; Dedekind-Peano axioms; Overspill (arithmetic); Consistency of the Peano axioms
  • loc=sections 2.3 (p. 464) and 4.1 (p. 471)}}

overspill         
PROOF TECHNIQUE IN NON-STANDARD ANALYSIS, IS LESS COMMONLY CALLED OVERFLOW
Internal induction
¦ noun
1. an instance of spilling over.
2. Brit. a surplus population moving from an overcrowded area to live elsewhere.
overspill         
PROOF TECHNIQUE IN NON-STANDARD ANALYSIS, IS LESS COMMONLY CALLED OVERFLOW
Internal induction
1.
Overspill is used to refer to people who live near a city because there is no room in the city itself. (BRIT)
...new towns built to absorb overspill from nearby cities.
N-UNCOUNT: also a N, oft N n
2.
You can use overspill to refer to things or people which there is no room for in the usual place because it is full.
With the best seats taken, it was ruled that the overspill could stand at the back of the court.
N-UNCOUNT: also a N
Overspill         
PROOF TECHNIQUE IN NON-STANDARD ANALYSIS, IS LESS COMMONLY CALLED OVERFLOW
Internal induction
In nonstandard analysis, a branch of mathematics, overspill (referred to as overflow by Goldblatt (1998, p. 129)) is a widely used proof technique.

Wikipedia

Peano axioms

In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used nearly unchanged in a number of metamathematical investigations, including research into fundamental questions of whether number theory is consistent and complete.

The need to formalize arithmetic was not well appreciated until the work of Hermann Grassmann, who showed in the 1860s that many facts in arithmetic could be derived from more basic facts about the successor operation and induction. In 1881, Charles Sanders Peirce provided an axiomatization of natural-number arithmetic. In 1888, Richard Dedekind proposed another axiomatization of natural-number arithmetic, and in 1889, Peano published a simplified version of them as a collection of axioms in his book, The principles of arithmetic presented by a new method (Latin: Arithmetices principia, nova methodo exposita).

The nine Peano axioms contain three types of statements. The first axiom asserts the existence of at least one member of the set of natural numbers. The next four are general statements about equality; in modern treatments these are often not taken as part of the Peano axioms, but rather as axioms of the "underlying logic". The next three axioms are first-order statements about natural numbers expressing the fundamental properties of the successor operation. The ninth, final axiom is a second-order statement of the principle of mathematical induction over the natural numbers, which makes this formulation close to second-order arithmetic. A weaker first-order system called Peano arithmetic is obtained by explicitly adding the addition and multiplication operation symbols and replacing the second-order induction axiom with a first-order axiom schema.