As he claimed, “To definitions that stipulate something, I opposed principles and theorems that assertFootnote 20 something” Frege (1984, p.294). Whereas for Frege they are not supposed to stipulate anything, this is exactly what Hilbert’s axioms do. In Frege’s perspective, Hilbert’s ...
Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the ancient Greek mathematician Euclid. The term refers to the plane and solid geometry commonly taught in secondary school. Euclidean geometry is
Euclidean geometry - Plane Geometry, Axioms, Postulates: Two triangles are said to be congruent if one can be exactly superimposed on the other by a rigid motion, and the congruence theorems specify the conditions under which this can occur. The first su