The objective of this paper is to present the correlation between fregean logicist program of the arithmetic foundation and CrispinWright's neologicism and the so-called abstraction principles. My theses is that a general analyses of the abstraction principles, from a logical and explanatory point of view, is more basic than the project of the arithmetic foundation in the way that it was proposed by the logicism. That became evident through the fact that the failure in the logicist program was closely connected to imprecision and to inconsistency in the use of abstraction procedures.
Logic; Philosophy of Mathematics; Arithmetic; Abstraction Principle