In any proposed thermodynamic mathematical relation two fundamental conditions must be satisfied: (a) the units on each side must be the same and (b) the thermodynamic character on each side must also be the same. If either of these conditions is not satisfied then the proposed equation or inequality is invalid. Temperature is always an intensive thermodynamic coordinate; mass is always an extensive thermodynamic coordinate. The thermodynamic mathematical relations of the kinetic theory of an ideal gas satisfy these two conditions. Despite invoking the laws of thermodynamics and the kinetic theory of gases, cosmology, astronomy and astrophysics violate the laws of thermodynamics by making temperature nonintensive and mass non-extensive, and also violate the kinetic theory of an ideal gas by applying gravitational and Coulomb forces between the particles of an ideal gas when, by definition, there are no forces between the particles of an ideal gas except when they collide elastically with one another and the walls of their container. Consequently, the gaseous theory of the stars is certainly false, and, inter alia, so too the theory of black hole thermodynamics.