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  • $\begingroup$ I think a notion to found the basis of mathematics was also at play. Whether Cantor new about this I am not sure. $\endgroup$ Commented Oct 30, 2014 at 13:23
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    $\begingroup$ I don't know whether this link is already provided in this thread but I think I should share it here. ias.ac.in/resonance/Volumes/19/11/0977-0999.pdf $\endgroup$ Commented Mar 27, 2015 at 5:30
  • $\begingroup$ Thank you @ankit, it's a very nice and absolutely relevant article. $\endgroup$ Commented Mar 27, 2015 at 21:22
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    $\begingroup$ Of course you can't imagine mathematics without sets - mathematics before formal set theory isn't the same as "mathematics before there were sets". Like algorithms existed forever although their formalization is no 150 years old, people were always using intersections of collections (sets) and so on. $\endgroup$ Commented Dec 16, 2015 at 20:03