I should really post this on a Monday but I might as well do it now. A whole bunch of assertions to do with truth that it occurred to me to poll about...
There are other viewpoints in the philosophy of mathematics than the Platonistic "there is an absolute truth" that you're putting forward.
There's the Formalist approach - "It's just a game where we select the rules and see where they lead us", which begs the question what the process behind adopting the rules is, and leaves "truth" as a rather empty and hollow concept.
Another major one is Quasi-Empiricism. If you read and take onboard "Proofs and Refutations" by Lakatos (the Kuhn of mathematics) then mathematics is about the history of striving to move away from falsity, rather than a move towards an absolute truth. Again, if all we can do is detect falsity, but we can't ever know if we've reached truth then the concept of "absolute truth" doesn't have much bearing on the subject.
no subject
Date: 2009-03-15 09:51 pm (UTC)There's the Formalist approach - "It's just a game where we select the rules and see where they lead us", which begs the question what the process behind adopting the rules is, and leaves "truth" as a rather empty and hollow concept.
Another major one is Quasi-Empiricism. If you read and take onboard "Proofs and Refutations" by Lakatos (the Kuhn of mathematics) then mathematics is about the history of striving to move away from falsity, rather than a move towards an absolute truth. Again, if all we can do is detect falsity, but we can't ever know if we've reached truth then the concept of "absolute truth" doesn't have much bearing on the subject.
no subject
Date: 2009-03-17 12:00 am (UTC)