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And here are some relevant books on the infinite and on the corresponding history and philosophy of set theory:

Ferreirós, J., Labyrinth of Thought. A History of Set Theory and Its Role in Modern Mathematics, second revised edition, Basel: Birkhäuser, 2007.

Lavine, S., Understanding the Infinite, Cambridge, Mass.: Harvard University Press, 1998.

Moore, A.W., The Infinite, second edition, London: Routledge, 2001.

Oppy, G., Philosophical Perspectives on Infinity, Cambridge: Cambridge University Press, 2006.