This thesis is buttressed by a specific epistemological conception. The intuition of the objects and mathematical axioms can lead to real knowledge. According to the author, mathematical intuition contributes to guaranteeing the truth of mathematical axioms. The axioms and the mathematical objects are necessary to systematize mathematics and to thus make it possible to explain propositions. A similar proof of consistency is based on the mathematical intuition by virtue of which it remains without validity.
Nominalism is supposed to deal with the universe of discourse in moderation.
Here the reader is confronted with a purely polemical text. The third chapter presents the context and the arguments according to which mathematics is similar to physics, both in terms of goals and methods. The analogy with physics is based on sensual perception. We were able to show above that one of the realist conclusions was that objects and mathematical axioms alloved us to systematize mathematics and to thereby explain the propositions. In this way, one can understand that the effectivity of the propositions is relevant.