Rojer Penrose relying on Plato responds like that mathematical objects are something more than mere inventions and has a previous existence, ethereal, pre, immaterial, timeless and universal, both under this, mathematical objects have a metaphysical existence therefore exist independently of the human mind, so consider those who advocate math discoveries.
A clear example would be the Pythagorean theorem is not an invention but a discovery of the eternal relationship between their legs and the hypotenuse of a right triangle the object being considered an object that exists in reality itself intangible , eternal and abstract. Instead Bertrand Russell and others respond that mathematical objects are symbolic constructions of the mind without metaphysical, this is known as constructivism.
ACTIVITY: PLATO AND MATH - Narbonne
ALBERTO AGUILAR 
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