Abstract

The target of this paper is twofold. The first part develops firstly a very general and abstract topic, by describing what philosophy of logic is, when it is embedded in a genuine philosophical system, and it secondly provides an explanation of the reason why intuitionism, assumed as genuine philosophical system, is in total harmony with the contemporary intuitionistic formal logic. This part ends on the definition of what is a stable philosophical system, and explains why Platonism and Intuitionism are stable. The second part deals with the contemporary critics against Intuitionism made by a logico-philosophical tentative to give a new rise of Stric Finitism in philosophy of logic. I give arguments to show that, at the moment, the Radical Semantic Anti-realism does not provide a philosophical system as stable as Intuitionism.

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