I'm going to contrast my reading of OC with other readings, so in that vain I'm going to start by discussing Dr. D. R. Prichard's reading of OC as presented in the IEP (which is peer reviewed). Many of my thoughts are similar to Dr. Prichard's, so I will start here.
As a side note, I did have a short email conversation with Dr. Prichard about something I wrote.
Quotes are taken from this link:
http://www.iep.utm.edu/witt-epi/
"Wittgenstein’s reflections on the structure of reason have influenced a more recent “Wittgenstein-inspired” anti-skeptical position, namely Pritchard’s “hinge-commitment” strategy (2016b), for which “hinges” are not beliefs but rather arational, non-propositional commitments, not subject to epistemic evaluation."
Here I agree with Prichard's account of OC that hinges are "...arational, non-propositional commitments, not subject to epistemic evaluation." However, where we disagree is with the idea that hinges are not beliefs. My position is that they do reflect beliefs, but not stated beliefs, beliefs that are shown by our actions; and I point to Wittgenstein's statements in OC 284 and 285 as such examples.
"The question that we raise and our doubts depend on the fact that some propositions are exempt from doubt, are as it were the hinges on which those turn [….] that is to say, it belongs to the logic of our scientific investigations that certain things are indeed not doubted [...] If I want the door to turn, the hinges must stay put (OC 341–343).
"As per Pritchard, here Wittgenstein would claim that the same logic of our ways of inquiry presupposes that some propositions are excluded from doubt; and this is not irrational or based on a sort of blind faith but, rather, belongs to the way rational inquiries are put forward (see OC 342) . As a door needs hinges in order to turn, any rational evaluation would then require a prior commitment to an unquestionable proposition/set of “hinges” in order to be possible at all."
The idea that some propositions (non-propositions, non-propositional beliefs for me, non-propositional commitments for Prichard) rest on what is immune from doubt. These arational hinges, are the foundation for any commitment to epistemological constructs. They are also foundational to doubt itself, that is, we start with certain commitments or beliefs, and this allows us to construct an epistemological inquiry, or to raise doubts.
"A consequence of this thought (2016b, 3) is that any form of universal doubt such as the Cartesian skeptical one is constitutively impossible; there is simply no way to pursue an inquiry in which nothing is taken for granted. In other words, the same generality of the Cartesian skeptical challenge is then based on a misleading way of representing the essentially local nature of our enquiries."
"But it isn't that the situation is like this: We just can't investigate everything, and for that reason we are forced to rest content with assumption. If I want the door to turn, the hinges must stay put (OC 343)."
"This maneuver helps Pritchard to overcome one of the main problems facing Williams’ “Wittgensteinian Contextualism.” Recall that, following Williams, the Cartesian skeptical challenge is both legitimate and unsolvable, even if only in the more demanding philosophical context. On the contrary, argues Pritchard, as per Wittgenstein, there is simply nothing like the kind of universal doubt employed by the Cartesian skeptic, both in the philosophical and in the, so to say, non-philosophical context of our everyday epistemic practices. A proponent of Cartesian skepticism looks for a universal, general evaluation of our beliefs; but crucially, there is no such thing as a general evaluation of our beliefs, whether positive (anti-skeptical) or negative (skeptical), for all rational evaluation can take place only in the context of “hinges” which are themselves immune to rational evaluation."
I wholly agree with Prichard here. For someone to properly understand this, it is crucial to understand the Wittgensteinian connection between knowledge and doubt, which Grayling also mentions.