All geometrical reasoning is, in the last resort, circular: if we start by assuming points, they can only be defined by the lines or planes which relate them; and if we start by assuming lines or planes, they can only be defined by the points through which they pass.


An Essay on the Foundations of Geometry, Chapter III, Section 108 (p. 120), Dover Publications, Inc. 1956

Bertrand Russell Quotes

All geometrical reasoning is, in the last resort, circular: if we start by assuming points, they can only be defined by the lines or planes which...

All geometrical reasoning is, in the last resort, circular: if we start by assuming points, they can only be defined by the lines or planes which...

All geometrical reasoning is, in the last resort, circular: if we start by assuming points, they can only be defined by the lines or planes which...

All geometrical reasoning is, in the last resort, circular: if we start by assuming points, they can only be defined by the lines or planes which...