Foundational theories of Computer Science would be rendered
inconsistent if they allowed the construction of the
proposition I'mFalse or the [Gödel 1931] proposition
I'mUnprovable using fixed points.
Fortunately, orders on propositions prohibit the
construction of the proposition *I'mFalse* and also
prohibit the construction of the [Gödel 1931]
proposition *I'mUnprovable*.
inconsistent if they allowed the construction of the
proposition I'mFalse or the [Gödel 1931] proposition
I'mUnprovable using fixed points.