This version of Axiom 7 can be read as: normally, a wholly contingent fact has a cause.
A single contingent fact of this kind is all that I need, although I believe that nearly every fact with which we are acquainted is contingent.
A contingent fact is one that is actual but could have been non-actual, where the relevant notion of possibility is that of broadly metaphysical possibility.
By axiom 2, it follows that if there are any wholly contingent facts, then any fact overlaps C if, and only if, that fact overlaps some wholly contingent fact.
Since we know that there is at least one contingent fact, we can identify C with the cosmos, and use Theorem 1 to conclude that the cosmos has a cause that is a necessary fact, a First Cause.
The picture we are left with is this: mental representations are, as a matter of contingent fact
, systematically related to each other; this is what explains the systematicity of (mainly linguistic) behavior.
A proposition is a picture of reality, and the reality depicted by meaningful propositions is a realm of contingent facts.
Wittgenstein's point would seem to be that viewing the world as a limited totality is analogous to viewing it as an aesthetic object, in that contingent facts acquire a meaning, and a kind of necessity, relative to the whole.
For without a unifying perspective on life and the world there are only ethically neutral contingent facts.
Given this, it seems perfectly natural to wonder what it is about how things are, or were, that explains these contingent facts
It is argued that, ironically, contingent facts
about the temporal properties of consciousness are very difficult to square with presentism unless some form of mind--body dualism is embraced.
In other words, if one were to list all the intrinsic denominations of simple substances (contained in their complete individual concepts), there would be no other contingent facts
about the relations between the simple substances beyond what would follow from those intrinsic denominations.