I just want to understand clearly what is the possible connection between the objective uncertainty and the truth as subjectivity of Soren Kierkegaard. Since we cannot find much in his books his concept of Objective uncertainty except in his definition of truth "objective uncertainty held fast in the appropriation-process in the most passionate inwardness which is the truth" CUP. Is/are there significant connection in between the two? if there is/are, what are the contrasting characteristics in between the two?
(I haven't done any formal training in philosophy, I'm a mathematics student who likes philosophy.)
This is just my take on it and I may be completely wrong.
Suppose you have two pencils which are identical to you (as perceived by your five senses). Now their might be other independent sets of properties of pencil which we can't perceive. (By independent sets, I mean sets whose elements can only be compared with the elements of that same set. For example, you can't compare a colour with a sound or an odour.)
So subjectively, w.r.t you, those two pencils are identical, but objectively, they might be different.
Form sets of all objects such that any set contains identical (as perceived by us) objects and no two sets have objects which identical to each other. In an objective sense, these sets are equivalence classes of objects with the equivalence relation being our subjective truth.
We can also try to construct five abelian groups corresponding to our five different senses and take direct sum of all those five group and take the result to be a normal subgroup of an abelian group corresponding to the objective reality.
Then by theory on group extensions, we can see that the objective group may not be unique.