I left out the obvious case (GIT) when I wrote:
"Implications are tautologies or they are false."

"Implications are tautologies or they are false OR THEY ARE INDETERMINATE."

and I forgot to mention that if scientific theories (which contain potential inconsistencies) are found to have actual inconsistencies, then either the assumptions have to questions or the theory is falsified. The falsification can be minor in which case minor modification to the theory might fix it, or the falsification can be catastrophic, in which case the theory must be rejected.

Last edited by TheFallibleFiend; 04/07/09 11:16 PM.