That line of reasoning was first argued forcefully in W. N. Reinhardt, “Remarks on reflection principles, large cardinals, and elementary embeddings,” Proceedings of Symposia in Pure Mathematics, Vol 13, Part II, 1974, pp. 189-205, and the ideas are further discussed in Penelope Maddy, “Believing the axioms”, in two parts, JSL vols. (1988) 52 and 53. [Part 1](http://www.jstor.org/sici?sici=0022-4812%28198806%2953%3A2%3C481%3ABTAI%3E2.0.CO%3B2-3), [Part 2](http://www.jstor.org/sici?sici=0022-4812%28198809%2953%3A3%3C736%3ABTAI%3E2.0.CO%3B2-0).  These articles have now a rather large literature of discussion and criticism in the philosophy of set theory. To get started, you might find further resources on the reading list of my recent course [NYU Philosophy of Set Theory](http://jdh.hamkins.org/philosophy-of-set-theory-fall-2011/).