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The only (ontological) connection between Forcing (Cohen) and Philosophy i know is the work of Alain Badiou. Are there any other philosophers who have worked on this topic?

  • Writing off symbolic logic as not being part of philosophy is kind of aggressive, no? – hide_in_plain_sight Apr 15 at 14:55
  • To call something "part of philosophy" depends highly of you notion of philosophy. There is a reason I put "(ontological)". – Averroes2 Apr 15 at 15:07
  • @Averroes2, perhaps you might like to share that reason in your question? It may be helpful to know the parameters you're working with if we're to discuss possible answers. – Paul Ross Apr 15 at 15:29
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    Depends on what "this topic" is. Do you mean metaphysics loosely inspired by mathematics, as in Badiou, or philosophy of modern mathematics, which would touch on higher set theory and forcing in particular? If it is the latter Maddy wrote two very illuminating papers Believing the Axioms I and II. In the former vein see Fraser, Law of the Subject that touches on forcing in Badiou and Kripke. – Conifold Apr 15 at 17:19
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    The use of set theory by Badiou is very controversial, and many mathematicians suggested that what he does does not really connect to the actual set theory. There was an intense debate over this between Badiou and Nirenbergs (which addresses forcing in particular), referenced here and here. – Conifold Apr 15 at 19:44

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