I'm borrowing here from Meillassoux's 'argument from power sets' in his After Finitude, but the idea is that for every set of facts S, we can always generate another, additional fact by taking the power set of S (the set of all subsets of S), which will always yield a set S' with more elements than our original set S: that is, it will always contain one additional fact not contained in our original set of facts S. This procedure can be repeated to generate sets of ever-increasing cardinality (set size) so that from S' you can generate S", and from S'', S''' and so on ad infinitum. — StreetlightX
Epistemic closure thus becomes a reasonable choice. Rather than worrying that the world is "some totality of facts", facts become distinctions or individuations that could materially matter. Facts aren't definite in themselves in some realist fashion. They are simply what is "true" - or worth us knowing - to the degree that we have some reason to care.
Facts thus are always intrinsically self-interested. While also being "about the world".
It is this double-headed nature that often confuses. Realism vs idealism tries to make facticity all a thing of the world, or all a thing of the mind. But semiotics shows that "facts" are the signs by which we relate to the world. Indeed, epistemically, it is the relation that creates the self and its world.
But anyway, the way it works is that syntax gives you your referential openness and semantics gives you your referential boundedness. Together, they compose an epistemic system. — apokrisis
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