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The Forms are perfect and unchanging representations of objects and qualities. For example, the Form of beauty or the Form of a triangle. For the form of a triangle say there is a triangle drawn on a blackboard. A triangle is a polygon with 3 sides. The triangle as it is on the blackboard is far from perfect.
In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the Euclidean plane refers to the ...
But extraordinary claims require extraordinary evidence. — Carl Sagan in his 1979 book Broca's Brain [ 2 ] The aphorism "Extraordinary claims require extraordinary evidence", according to psychologist Patrizio Tressoldi, "is at the heart of the scientific method , and a model for critical thinking , rational thought and skepticism everywhere".
Reductio ad absurdum, painting by John Pettie exhibited at the Royal Academy in 1884. In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical argument, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.
The attitude of a lattice plane is the orientation of the line normal to the plane, [12] and is described by the plane's Miller indices. In three-space a family of planes (a series of parallel planes) can be denoted by its Miller indices ( hkl ), [ 13 ] [ 14 ] so the family of planes has an attitude common to all its constituent planes.
Unsubstantiated claims, which lack specific evidence, involve some common fallacies, which can mislead other editors into false conclusions. Some common fallacies of baseless claims include: Begging the question - asserting a claim as if true but without proof; Argumentum ad nauseam - repeating remarks, typically with "walls of text" which lack ...
A projective plane is defined axiomatically as an incidence structure, in terms of a set P of points, a set L of lines, and an incidence relation I that determines which points lie on which lines. As P and L are only sets one can interchange their roles and define a plane dual structure. By interchanging the role of "points" and "lines" in C ...
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other. [1] [2] Such a drawing is called a plane graph, or a planar embedding of the graph.