2

I have read some of the philosophies on either side of the argument, but lack the historical overview to really get a picture of the main achievements chronologically. I'm taking nominalism to mean either rejection of universals or abstract objects, insight from either camp would be welcome.

  • @MauroALLEGRANZA Thanks, I had read the first two, but not the mathematics references so I will see if I can find any answers there. The problem I found with the first two is that whilst they gave an excellent historical account, I could not find in them an idea of what had been achieved in the field, as opposed to simply an account of what had been said. – Pseudonym Nov 2 '16 at 8:26
  • Achievements ? See Plato. – Mauro ALLEGRANZA Nov 2 '16 at 11:17
  • @MauroALLEGRANZA I'm sorry, I don't understand the reference, it's just taken me to a page about Plato, could you elaborate? – Pseudonym Nov 2 '16 at 13:35
  • 1
    @Conifold Thank you for your perseverance. I think I understand what you're saying. I'm not sure I like it as I think a lot of philosophers act as if it were something more than that, but your description explains the complication with my question perfectly. – Pseudonym Nov 10 '16 at 10:10
1

Mark Balguer's Platonism and Anti-Platonism in the Philosophy of Mathematics is considered a critical text arguing that the ontology of mathematical objects is an open question such that there are perhaps equally good arguments on both sides for mutually exclusive positions.

  • If I understand correctly, this would make the answer to my my question "there have been none whatsoever", at least with regards to mathematics. If in 2001 it can be argued still that both sides could be equally well argued for, then neither side has managed to produce a conclusive argument in two and a half thousand years. Has anyone considered it might be time to give up? – Pseudonym Jan 3 '17 at 11:12
  • @Pseudonym fictionalists take it that we should drop ontological commitment as a criterion of the utility of a theory. Basically we have the structure of realism, minus the realism – Lothrop Stoddard Jan 3 '17 at 13:34

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.