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From geometry to geology: An invitation to mathematical pluralism through the phenomenon of independence
[article]
2016
arXiv
pre-print
This paper explores how a pluralist view can arise in a natural way out of the day-to-day practice of modern set theory. By contrast, the widely accepted orthodox view is that there is an ultimate universe of sets V, and it is in this universe that mathematics takes place. From this view, the purpose of set theory is "learning the truth about V." It has become apparent, however, that the phenomenon of independence - those questions left unresolved by the axioms - holds a central place in the
arXiv:1609.00093v1
fatcat:hdmchiubvnernoxpuy5hznk244