No matter what one thinks about or discovers, there is never a time or issue where one has ventured outside of logical axioms. Certainly, since realizing that reason cannot be false or that there could never not be some sort of truth is, along with directly recognizing other logical axioms, the absolute beginning of all true knowledge, reflecting on anything else goes beyond focusing on just the fact that logical truths cannot be false because their falsity would contradict itself, making them true either way. Almost any fact or issue at all involves more than just the intrinsic truth of reason or other axioms like how no one can be mistaken about believing that their mind exists.
In spite of this, it is absolutely irrational to suppose that the epistemological necessity of logical axioms is therefore a first step to be passed and only rarely looked back to. Someone who thinks this does not understand the nature of axioms! Precisely because axioms are the first step of philosophy and thus the foundation of all things, for without them nothing could be true or knowable, they are never truly abandoned. These necessary truths govern all things and are never false or irrelevant in even a single case. There is much more to rationalism than just the fact that several specific truths cannot possible be false, one of them being the very fact that there could not not be some sort of actual truth in existence (or else reality would be that there is not reality!).
No serious rationalist would treat the inherent truth of logical axioms as if they are to be tossed aside and overlooked after initially being recognized as incapable of not being true. Indeed, they are always present even when this self-verifying nature that makes them the only possible first steps in epistemology is not at the forefront. Yes, some truths are far more precise and lay further into the truths rationalism reveals than these, but never abandoning the foundation of axioms is a basic part of rationalism. Furthermore, it is literally impossible to escape or avoid that which is self-verifying and thus necessarily true. To even attempt to do so would reveal immense stupidity on the part of anyone at all who thought that this could be possible.
In fact, the laws of logic are the one thing that span all of reality--it is the one thing which establishes truths about all things. It is also the thing that, because axioms cannot be false, no issue or aspect of reality can sidestep. Never once are logical axioms metaphysically or epistemologically irrelevant, for everything stands or falls on them. Only because some things are self-verifying and necessary truths is anything knowable with absolute certainty. It is the supreme folly to disregard, deny, or trivialize the only truths that could not have been any other way no matter what contingent things about science, history, theology, or perception could have been different. The infallible foundation of logical axioms cannot ever truly be abandoned, but a sincere seeker of truth can see this wherever their attention wanders to.
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