Now, let's look at Fuzzy Logic unbounded logical tree.
Also in this case we can define pairs of complements, for example:
Code:
COMPLEMENTS
┌───────────────────────────┐
│ │
│ COMPLEMENTS │
│ ┌─────────────┐ │
│ │ │ │
│ │ │ │
0______. . .______1
A C B
In this example 0 (contradiction) and 1 (tautology) are pair of complements, and so is pair A,B (A,B is the notation of any arbitrary pair of complements between pair 0,1, which is not pair 0,1 AND not "pair" C,C , where C is the logical connective between 0 and 1 that is its own complement).
The number of arbitrary A,B pairs is indeterminable since they are logically not pair 0,1 AND not "pair" C,C.
In terms of the notion of set, 1 (tautology) is equivalent to the outer braces "{" and "}", 0 (contradiction) is equivalent to the void between the outer braces, C notates the notion of the identity of a given member to itself, and A,B is the notation of the notion of the difference between identified members (the void and the outer braces are not members, yet they determine the boundaries of finitely or infinitely many identified members).