Measuring the size of infinite collections of natural numbers: Was Cantor's theory of infinite number inevitable?

Review of Symbolic Logic 2 (4):612-646 (2009)
Abstract
Cantorsizesizesizewhole principle). This second intuition was not developed mathematically in a satisfactory way until quite recently. In this article I begin by reviewing the contributions of some thinkers who argued in favor of the assignment of different sizes to infinite collections of natural numbers (Thabit ibn Qurra, Grosseteste, Maignan, Bolzano). Then, I review some recent mathematical developments that generalize the partdel) or for the rational nature of the Cantorian generalization as opposed to that, based on the part–whole principle, envisaged by Bolzano (Kitcher)
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Mark van Atten (2011). A Note on Leibniz's Argument Against Infinite Wholes. British Journal for the History of Philosophy 19 (1):121-129.

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