If the Cartesianskeptic must presuppose hinge certainties to even formulate CP2 coherently, the heightened-scrutiny context is self-undermining and cannot make CP2 genuinely true.
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Hinge certainties(as background assumptions required for the skeptic's argument)
Fundamental beliefs so basic that you must accept them as true just to think or reason about anything else—like 'the world exists' or 'my mind works.' They're the 'hinges' everything else swings on.
Presuppose(what both foundationalisms supposedly do)
To assume or take for granted something as true in order to make an argument work, without proving it first.
Self-undermining(in logic and argument)
When an idea or rule contradicts itself or destroys the very thing it's trying to achieve.
A context of utterance in which epistemic standards are raised, such that CP2 and the conclusion of the CP-based argument for Cartesian Skepticism express true propositions