phoenixthoth Messages 1,600 Reaction score 2 Thread starter Nov 19, 2009 #1 Is there a way to prove axioms are consistent and/or independent by converting the problem of consistency/independence to another field, such as algebra?
Is there a way to prove axioms are consistent and/or independent by converting the problem of consistency/independence to another field, such as algebra?
Hurkyl Staff Emeritus Science Advisor Gold Member Messages 14,922 Reaction score 28 Nov 19, 2009 #2 Sure. You don't even have to go to other fields -- e.g. ZFC + any large cardinal axiom is strong enough to prove ZFC consistent.
Sure. You don't even have to go to other fields -- e.g. ZFC + any large cardinal axiom is strong enough to prove ZFC consistent.