Stairway to Heaven : The abstract method and levels of abstraction in mathematics
Article [Accepted Manuscript]
Is part ofMathematical Intelligencer ; vol. 38, no 3, p. 41-51
In this paper, following the claims made by various mathematicians, I try to construct a theory of levels of abstraction. I rst try to clarify the basic components of the abstract method as it developed in the rst quarter of the 20th century. I then submit an explication of the notion of levels of abstraction. In the nal section, I brie y explore some of main philosophical consequences of the theory.
Marquis, J.-P., 2016, Stairway to Heaven: The Abstract Method and Levels of Abstraction in Mathematics, The Mathematical Intelligencer, vol. 38, n. 3, Springer, pp. 41-51.