The more foundational a truth, the more a denial of it is contrary to reality. When a person denies something that cannot be false, they revolt against all other truths which follow from or hinge on it, whether they know they are or not. Because of this, an incorrigible unwillingness to acknowledge the intrinsic veracity of logical axioms--self-verifying necessary truths--constitutes intellectual treason against the very core of all of reality, both metaphysically and epistemologically.
A denial of reason is at the heart of all other errors. No one can deny other truths without in some regard denying reason as well, and no one can deny reason without denying everything else about reality as a consequence, since logic governs the entirety of reality by necessity. To revolt against any part of logic is to revolt against the whole of it by extension.
As such, people who sincerely refuse to admit the truth of axioms not only have nothing to stand on, since they reject what cannot be false, but they also have no right to be intellectually respected. When a person disregards the very core of reality--the one thing that cannot not exist even in the hypothetical absence of all else, even space itself (though space must also exist by necessity, logic would exist even if it didn't [1])--they forfeit all cognitive soundness and comprehension of the most basic truths. They abandon all legitimate claims to being regarded as intellectual equals by those who recognize their self-refuting impossibilities.
There is not and cannot be a layer of reality beneath axioms; they themselves are the foundation of everything else, even serving as the self-necessitating foundation of themselves. No one can deny them without proving them in the process. It is time that people stopped treating all others as intellectual equals, for the soundness and validity of a person's worldview determine whether or not they have that status. Since there can be no greater error than the rejection of axioms, there can be no greater intellectual inequality than that between those who wholeheartedly embrace reason and those who deny it.
[1]. Yes, I have written about how space is the only thing besides logic that cannot not exist (unless one distinguishes truth from the laws of logic themselves). Still, while space could not exist without logic, since it then could not even be what it is, logic could exist even if space did not. See the following for an explanation of the necessary nature of both logic and space:
https://thechristianrationalist.blogspot.com/2018/04/the-impossibility-of-absolutely-nothing.html
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