distance axioms

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• Tarski's axioms — Tarski s axioms, due to Alfred Tarski, are an axiom set for the substantial fragment of Euclidean geometry, called elementary, that is formulable in first order logic with identity, and requiring no set theory. Other modern axiomizations of… …   Wikipedia

• Huzita-Hatori axioms — The Huzita Hatori axioms or Huzita Justin axioms are a set of rules related to the mathematical principles of paper folding, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are… …   Wikipedia

• Wightman axioms — Quantum field theory (Feynman diagram) …   Wikipedia

• Huzita–Hatori axioms — The Huzita–Hatori axioms or Huzita–Justin axioms are a set of rules related to the mathematical principles of paper folding, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are… …   Wikipedia

• Euclid's axioms and common notions — ▪ Table Euclid s axioms 01 Given two points there is one straight line that joins them. 02 A straight line segment can be prolonged indefinitely. 03 A circle can be constructed when a point for its centre and a distance for its radius are given.… …   Universalium

• Stereographic projection — In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point mdash; the projection point. Where it is defined, the mapping is …   Wikipedia

• Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… …   Wikipedia

• Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… …   History of philosophy

• Metric (mathematics) — In mathematics, a metric or distance function is a function which defines a distance between elements of a set. A set with a metric is called a metric space. A metric induces a topology on a set but not all topologies can be generated by a metric …   Wikipedia

• nature, philosophy of — Introduction       the discipline that investigates substantive issues regarding the actual features of nature as a reality. The discussion here is divided into two parts: the philosophy of physics and the philosophy of biology.       In this… …   Universalium

• geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… …   Universalium