/lit/ - Literature

Let's look at the various responses to the issue.

Foundationalism & Infinitism: In practice, these are the same. The last justification someone gives (the premise) towards any claim is itself unjustified and can be questioned.
>Well, what if I say that such a premise is prima facie?
Well, what if I say that the negation of your premise is prima facie? Any answer to this question itself becomes the new premise of your justificatory chain, and can be given the same treatment. Also, a "prima facie" status is just an example, there are plenty of other special statuses someone might claim of an axiom (such as apodicticity), the above treatment works for those too.
Even if such a premise were assumed, it can still be questioned whether some conclusion is really entailed by it. Such a need for proof of entailment gives rise to an infinite number of infinite regresses, even with only a single axiom.
>What if justification is probabilistic, causing the influence of the premise on the conclusion to gradually fade away with each justification?
Probabilistic support as justification gives the appearance that the influence of the premise fades, but it actually divides into more premises rather than fading, as in a directed hypergraph. See: the last chapter of Fading Foundations by Jeanne Peijnenburg. This is a fact that she seems to somehow overlook.

Non-justificationism: This amounts to saying that every claim is a prima facie axiom. My objection above applies here too.

Coherentism: The ability to question the coherence of some belief system reinstates the regress.

Reliabilism: The ability to question that some belief was formed by a reliable process or that such a process is reliable reinstates the regress.

Circularism: Circular arguments presume the belief that is to be demonstrated, and therefore provide no justification.

Intuitionism: This makes it so nobody has an obligation to accept or deny any given belief. This is a fine solution if you're okay with relativism/subjectivism.

As we can see, this problem is devastating. If there's any response to the trilemma I've missed, or if I've misassessed one of them, please do tell.

Is there a solution to this?