@Ding an Sich,
Your posts have indeed moved on from a straight Kantian position on
noumena. However, your support for "the Law of Identity" is still in accord for a "realism" stance. There is a counter argument (termed post modernist" I think) which is exemplified by the question:
Is this A the same as this A ?
In one sense the answer is "yes" because the signal/symbol/word which A stands for has not changed. But the answer is also "no", because the perception of the two A's are different events separated in space time. In other words the significance of the second A must be different to that of the first since the state of the perceptive apparatus has "moved on". This leads to issues like "the problem of universals" and whether
static properties of
things constitute a substrate for what we call aspects of "reality" we claim to "know", or whether "knowledge" is about
prediction (from A1 to A2) in which the law of identity A1=A2 is simply being evoked by inductive
belief.
I have argued before that the
abstract permanance of words taken out of context lulls us into that belief in the abstract existence of "a reality" (IS-NESS independent of context). But linguistic philosophers have shifted to a non-representationalist view of "words" such that context is required to specify meaning. Since this context is by definition shifting in space-time, the law of identity (A=A) is a questionable axiom based on
static set theory rather than
dynamic interaction of observer and observed.
Apologies if I have used my reply to you as a response
to all who cannot understand key problems of "realism". What I have said here is unlikely to be comprehensible to those who hold traditional logic and facticity as sacrosanct.