@ACB,
ACB wrote:So would it be appropriate to think of 'truth' as a kind of interface between a true belief and an actual state of affairs? A kind of bipolar abstract object linking the two, such that when its subjective 'belief' pole is in the 'on' position (i.e. registering 'true') its objective 'state of affairs' pole is also in the 'on' position (registering 'actual'), and vice versa? When one pole is 'on', the other is automatically also 'on', but nevertheless the two poles are distinct?
Or is that too fanciful an analogy?
Maybe your metaphor is a little fancy, but you are getting it quite right. Marx also used this "poles" metaphor to talk about exchange value versus use value, so why couldn't you? The fact that you arrive at such a metaphor shows that you got it. You capture both aspects of truth with your metaphor:
1) Truth is a whole, so trying to isolate subjective and objective truth from each other is useless: subjective truth makes as much sense isolated from objective truth than objective truth does isolated from it.
2) Although they do not exist without each other, they are also irreducible to each other: whenever we try to reduce either one to the other we miss the wholeness of truth.
As long as physicists do not find a magnetic monopole (which they are seeking now for a long time) - and perhaps even if they do, given the rarity of that - your metaphor will still be valid. The only correction I could make to what you said is about this whole truth being an "abstract object." In fact, a whole truth is neither abstract nor concrete, or it is both: it is precisely the link between abstract and concrete. We have been talking about subjective versus objective truth, but we could equally talk about abstract versus concrete truth, or about ideal versus material truth - it would be all the same. Which is why my general assertion is that " if any truth were untrue, then it would not be a truth: every truth must be true." It is neither strictly necessary to qualify truth as abstract, ideal, or subjective, nor its being true as concrete, material, or objective, although there is nothing wrong in saying that. However, we must extract all consequences of this understanding: it all means that truth holds within itself
a contradiction between difference and identity. It is precisely that contradiction that classical logic tries to get rid of all the time. Truth is at once different from and identical to itself, this is its "polarity" as you would put it. It is this contradiction that we must explore to understand what the heck is truth: the necessary truth of any truth is just the beginning (no matter how difficult).