axiom of addition

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• Addition — is the mathematical process of putting things together. The plus sign + means that two numbers are added together. For example, in the picture on the right, there are 3 + 2 apples meaning three apples and two other apples which is the same as… …   Wikipedia

• Axiom — This article is about logical propositions. For other uses, see Axiom (disambiguation). In traditional logic, an axiom or postulate is a proposition that is not proven or demonstrated but considered either to be self evident or to define and… …   Wikipedia

• Axiom of regularity — In mathematics, the axiom of regularity (also known as the axiom of foundation) is one of the axioms of Zermelo Fraenkel set theory and was introduced by harvtxt|von Neumann|1925. In first order logic the axiom reads::forall A (exists B (B in A)… …   Wikipedia

• addition axiom — noun : an axiom in mathematics: if equal numbers are added to equal numbers, the results are equal …   Useful english dictionary

• Peano-Axiom — ℕ Die natürlichen Zahlen sind die beim Zählen verwendeten Zahlen 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 usw. Oft wird auch die 0 (Null) zu den natürlichen Zahlen gerechnet. Sie bilden bezüglich der Addition und der Multiplikation einen (additiv und… …   Deutsch Wikipedia

• Kolmogorow-Axiom — Die Wahrscheinlichkeitstheorie oder Wahrscheinlichkeitsrechnung ist ein Teilgebiet der Mathematik. Gemeinsam mit der Kombinatorik und der mathematischen Statistik bildet sie das mathematische Teilgebiet der Stochastik, die von der Beschreibung… …   Deutsch Wikipedia

• Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …   Wikipedia

• Zermelo–Fraenkel set theory — Zermelo–Fraenkel set theory, with the axiom of choice, commonly abbreviated ZFC, is the standard form of axiomatic set theory and as such is the most common foundation of mathematics.ZFC consists of a single primitive ontological notion, that of… …   Wikipedia

• Field axioms — ▪ Table Field axioms axiom 1 Closure: the combination (hereafter indicated by addition or multiplication) of any two elements in the set produces an element in the set. axiom 2 Addition is commutative: a + b = b + a for any elements in the set.… …   Universalium

• algebra, modern — ▪ mathematics Introduction also called  abstract algebra        branch of mathematics concerned with the general algebraic structure of various sets (such as real numbers (real number), complex numbers (complex number), matrices (matrix), and… …   Universalium

• Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it …   Wikipedia